From: slontis Date: Mon, 6 Jan 2025 06:42:12 +0000 (+1100) Subject: ML-DSA fixups X-Git-Tag: openssl-3.5.0-alpha1~604 X-Git-Url: http://git.ipfire.org/?a=commitdiff_plain;h=fcffbbe1920c8bc38fe79a8c67b2f37a5d8593a9;p=thirdparty%2Fopenssl.git ML-DSA fixups Reviewed-by: Viktor Dukhovni Reviewed-by: Tim Hudson Reviewed-by: Matt Caswell (Merged from https://github.com/openssl/openssl/pull/26127) --- diff --git a/crypto/ml_dsa/build.info b/crypto/ml_dsa/build.info index 757d3b8d3e4..c83c20cc7f8 100644 --- a/crypto/ml_dsa/build.info +++ b/crypto/ml_dsa/build.info @@ -1,6 +1,6 @@ LIBS=../../libcrypto -$COMMON=ml_dsa_ctx.c ml_dsa_encoders.c ml_dsa_key_compress.c ml_dsa_key.c \ +$COMMON=ml_dsa_encoders.c ml_dsa_key_compress.c ml_dsa_key.c \ ml_dsa_matrix.c ml_dsa_ntt.c ml_dsa_params.c ml_dsa_sample.c \ ml_dsa_sign.c diff --git a/crypto/ml_dsa/ml_dsa_ctx.c b/crypto/ml_dsa/ml_dsa_ctx.c deleted file mode 100644 index 7689384951a..00000000000 --- a/crypto/ml_dsa/ml_dsa_ctx.c +++ /dev/null @@ -1,81 +0,0 @@ -/* - * Copyright 2024 The OpenSSL Project Authors. All Rights Reserved. - * - * Licensed under the Apache License 2.0 (the "License"). You may not use - * this file except in compliance with the License. You can obtain a copy - * in the file LICENSE in the source distribution or at - * https://www.openssl.org/source/license.html - */ - -#include -#include "ml_dsa_local.h" -#include "ml_dsa_params.h" - -static EVP_MD_CTX *md_ctx_new(EVP_MD *md) -{ - EVP_MD_CTX *ctx = EVP_MD_CTX_new(); - - if (ctx == NULL) - return NULL; - - if (EVP_DigestInit_ex2(ctx, md, NULL) != 1) { - EVP_MD_CTX_free(ctx); - ctx = NULL; - } - return ctx; -} - -/** - * @brief Create a ML_DSA_CTX that contains parameters, and pre-fetched hash - * related objects for a ML-DSA algorithm. This context is passed - * to many ML-DSA related functions. - * - * @param alg An ML-DSA algorithm name such as "ML-DSA-65" - * @param lib_ctx A library context used for fetching. Can be NULL - * @param propq A property query to use for algorithm fetching. Can be NULL. - * - * @returns The created ML_DSA_CTX object or NULL on failure. - */ -ML_DSA_CTX *ossl_ml_dsa_ctx_new(const char *alg, - OSSL_LIB_CTX *lib_ctx, const char *propq) -{ - ML_DSA_CTX *ret; - EVP_MD *shake128_md = NULL; - EVP_MD *shake256_md = NULL; - const ML_DSA_PARAMS *params = ossl_ml_dsa_params_get(alg); - - if (params == NULL) - return NULL; - - ret = OPENSSL_zalloc(sizeof(*ret)); - if (ret == NULL) - return NULL; - - shake128_md = EVP_MD_fetch(lib_ctx, "SHAKE-128", propq); - shake256_md = EVP_MD_fetch(lib_ctx, "SHAKE-256", propq); - if (shake128_md == NULL || shake256_md == NULL) - goto err; - ret->g_ctx = md_ctx_new(shake128_md); - ret->h_ctx = md_ctx_new(shake256_md); - EVP_MD_free(shake128_md); - EVP_MD_free(shake256_md); - if (ret->h_ctx == NULL || ret->g_ctx == NULL) - goto err; - ret->params = params; - return ret; -err: - ossl_ml_dsa_ctx_free(ret); - return NULL; -} - -/** - * @brief Destroy a ML_DSA_CTX - * - * @param ctx The ML_DSA_CTX object to destroy. - */ -void ossl_ml_dsa_ctx_free(ML_DSA_CTX *ctx) -{ - EVP_MD_CTX_free(ctx->g_ctx); - EVP_MD_CTX_free(ctx->h_ctx); - OPENSSL_free(ctx); -} diff --git a/crypto/ml_dsa/ml_dsa_encoders.c b/crypto/ml_dsa/ml_dsa_encoders.c index 3ad1a04b3e4..41383c97399 100644 --- a/crypto/ml_dsa/ml_dsa_encoders.c +++ b/crypto/ml_dsa/ml_dsa_encoders.c @@ -8,13 +8,15 @@ */ #include -#include +#include #include "ml_dsa_local.h" +#include "ml_dsa_hash.h" #include "ml_dsa_key.h" #include "ml_dsa_params.h" #include "ml_dsa_sign.h" #include "internal/packet.h" +#define POLY_COEFF_NUM_BYTES(bits) ((bits) * (ML_DSA_NUM_POLY_COEFFICIENTS / 8)) /* Cast mod_sub result in support of left-shifts that create 64-bit values. */ #define mod_sub_64(a, b) ((uint64_t) mod_sub(a, b)) @@ -53,7 +55,7 @@ static int poly_encode_4_bits(const POLY *p, WPACKET *pkt) uint8_t *out; const uint32_t *in = p->coeff, *end = in + ML_DSA_NUM_POLY_COEFFICIENTS; - if (!WPACKET_allocate_bytes(pkt, 32 * 4, &out)) + if (!WPACKET_allocate_bytes(pkt, POLY_COEFF_NUM_BYTES(4), &out)) return 0; do { @@ -90,7 +92,7 @@ static int poly_encode_6_bits(const POLY *p, WPACKET *pkt) uint8_t *out; const uint32_t *in = p->coeff, *end = in + ML_DSA_NUM_POLY_COEFFICIENTS; - if (!WPACKET_allocate_bytes(pkt, 32 * 6, &out)) + if (!WPACKET_allocate_bytes(pkt, POLY_COEFF_NUM_BYTES(6), &out)) return 0; do { @@ -130,7 +132,7 @@ static int poly_encode_10_bits(const POLY *p, WPACKET *pkt) uint8_t *out; const uint32_t *in = p->coeff, *end = in + ML_DSA_NUM_POLY_COEFFICIENTS; - if (!WPACKET_allocate_bytes(pkt, 32 * 10, &out)) + if (!WPACKET_allocate_bytes(pkt, POLY_COEFF_NUM_BYTES(10), &out)) return 0; do { @@ -167,7 +169,7 @@ static int poly_decode_10_bits(POLY *p, PACKET *pkt) if (!PACKET_get_bytes(pkt, &in, 5)) return 0; - in = OSSL_CRYPTO_load_u32_le(&v, in); + in = OPENSSL_load_u32_le(&v, in); w = *in; *out++ = v & mask; @@ -230,7 +232,7 @@ static int poly_decode_signed_4(POLY *p, PACKET *pkt) for (i = 0; i < (ML_DSA_NUM_POLY_COEFFICIENTS / 8); i++) { if (!PACKET_get_bytes(pkt, &in, 4)) goto err; - in = OSSL_CRYPTO_load_u32_le(&v, in); + in = OPENSSL_load_u32_le(&v, in); /* * None of the nibbles may be >= 9. So if the MSB of any nibble is set, @@ -287,7 +289,7 @@ static int poly_encode_signed_2(const POLY *p, WPACKET *pkt) uint8_t *out; const uint32_t *in = p->coeff, *end = in + ML_DSA_NUM_POLY_COEFFICIENTS; - if (!WPACKET_allocate_bytes(pkt, 32 * 3, &out)) + if (!WPACKET_allocate_bytes(pkt, POLY_COEFF_NUM_BYTES(3), &out)) return 0; do { @@ -302,7 +304,7 @@ static int poly_encode_signed_2(const POLY *p, WPACKET *pkt) z |= mod_sub(2, *in++) << 18; z |= mod_sub(2, *in++) << 21; - out = OSSL_CRYPTO_store_u16_le(out, (uint16_t) z); + out = OPENSSL_store_u16_le(out, (uint16_t) z); *out++ = (uint8_t) (z >> 16); } while (in < end); return 1; @@ -329,7 +331,7 @@ static int poly_decode_signed_2(POLY *p, PACKET *pkt) if (!PACKET_get_bytes(pkt, &in, 3)) goto err; memcpy(&u, in, 3); - OSSL_CRYPTO_load_u32_le(&v, (uint8_t *)&u); + OPENSSL_load_u32_le(&v, (uint8_t *)&u); /* * Each octal value (3 bits) must be <= 4, So if the MSB is set then the @@ -402,8 +404,8 @@ static int poly_encode_signed_two_to_power_12(const POLY *p, WPACKET *pkt) a2 |= mod_sub_64(range, *in++) << 14; a2 |= mod_sub_64(range, *in++) << 27; - out = OSSL_CRYPTO_store_u64_le(out, a1); - out = OSSL_CRYPTO_store_u32_le(out, (uint32_t) a2); + out = OPENSSL_store_u64_le(out, a1); + out = OPENSSL_store_u32_le(out, (uint32_t) a2); *out = (uint8_t) (a2 >> 32); } while (in < end); return 1; @@ -432,8 +434,8 @@ static int poly_decode_signed_two_to_power_12(POLY *p, PACKET *pkt) if (!PACKET_get_bytes(pkt, &in, 13)) goto err; - in = OSSL_CRYPTO_load_u64_le(&a1, in); - in = OSSL_CRYPTO_load_u32_le(&a2, in); + in = OPENSSL_load_u64_le(&a1, in); + in = OPENSSL_load_u32_le(&a2, in); b13 = (uint32_t) *in; *out++ = mod_sub(range, a1 & mask_13_bits); @@ -487,9 +489,9 @@ static int poly_encode_signed_two_to_power_19(const POLY *p, WPACKET *pkt) z1 = (z1 >> 12) | (mod_sub(range, *in++) << 8); z1 |= (z2 = mod_sub(range, *in++)) << 28; - out = OSSL_CRYPTO_store_u32_le(out, z0); - out = OSSL_CRYPTO_store_u32_le(out, z1); - out = OSSL_CRYPTO_store_u16_le(out, (uint16_t) (z2 >> 4)); + out = OPENSSL_store_u32_le(out, z0); + out = OPENSSL_store_u32_le(out, z1); + out = OPENSSL_store_u16_le(out, (uint16_t) (z2 >> 4)); } while (in < end); return 1; } @@ -517,9 +519,9 @@ static int poly_decode_signed_two_to_power_19(POLY *p, PACKET *pkt) if (!PACKET_get_bytes(pkt, &in, 10)) goto err; - in = OSSL_CRYPTO_load_u32_le(&a1, in); - in = OSSL_CRYPTO_load_u32_le(&a2, in); - in = OSSL_CRYPTO_load_u16_le(&a3, in); + in = OPENSSL_load_u32_le(&a1, in); + in = OPENSSL_load_u32_le(&a2, in); + in = OPENSSL_load_u16_le(&a3, in); *out++ = mod_sub(range, a1 & mask_20_bits); *out++ = mod_sub(range, (a1 >> 20) | ((a2 & 0xFF) << 12)); @@ -568,8 +570,8 @@ static int poly_encode_signed_two_to_power_17(const POLY *p, WPACKET *pkt) z1 = (z1 >> 14) | (mod_sub(range, *in++) << 4); z1 |= (z2 = mod_sub(range, *in++)) << 22; - out = OSSL_CRYPTO_store_u32_le(out, z0); - out = OSSL_CRYPTO_store_u32_le(out, z1); + out = OPENSSL_store_u32_le(out, z0); + out = OPENSSL_store_u32_le(out, z1); *out = z2 >> 10; } while (in < end); return 1; @@ -597,8 +599,8 @@ static int poly_decode_signed_two_to_power_17(POLY *p, PACKET *pkt) if (!PACKET_get_bytes(pkt, &in, 9)) return 0; - in = OSSL_CRYPTO_load_u32_le(&a1, in); - in = OSSL_CRYPTO_load_u32_le(&a2, in); + in = OPENSSL_load_u32_le(&a1, in); + in = OPENSSL_load_u32_le(&a2, in); a3 = (uint32_t) *in; *out++ = mod_sub(range, a1 & mask_18_bits); @@ -620,11 +622,11 @@ static int poly_decode_signed_two_to_power_17(POLY *p, PACKET *pkt) int ossl_ml_dsa_pk_encode(ML_DSA_KEY *key) { int ret = 0; - size_t i; + size_t i, written = 0; const POLY *t1 = key->t1.poly; size_t t1_len = key->t1.num_poly; size_t enc_len = key->params->pk_len; - uint8_t *enc = OPENSSL_zalloc(enc_len); + uint8_t *enc = OPENSSL_malloc(enc_len); WPACKET pkt; if (enc == NULL) @@ -636,6 +638,9 @@ int ossl_ml_dsa_pk_encode(ML_DSA_KEY *key) for (i = 0; i < t1_len; i++) if (!poly_encode_10_bits(t1 + i, &pkt)) goto err; + if (!WPACKET_get_total_written(&pkt, &written) + || written != enc_len) + goto err; OPENSSL_free(key->pub_encoding); key->pub_encoding = enc; ret = 1; @@ -661,19 +666,33 @@ int ossl_ml_dsa_pk_decode(ML_DSA_KEY *key, const uint8_t *in, size_t in_len) int ret = 0; size_t i; PACKET pkt; + EVP_MD_CTX *ctx; + if (key->priv_encoding != NULL || key->pub_encoding != NULL) + return 0; /* Do not allow key mutation */ if (in_len != key->params->pk_len) return 0; + if (!ossl_ml_dsa_key_pub_alloc(key)) + return 0; + ctx = EVP_MD_CTX_new(); + if (ctx == NULL) + goto err; if (!PACKET_buf_init(&pkt, in, in_len) - || PACKET_copy_bytes(&pkt, key->rho, sizeof(key->rho))) + || !PACKET_copy_bytes(&pkt, key->rho, sizeof(key->rho))) goto err; for (i = 0; i < key->t1.num_poly; i++) if (!poly_decode_10_bits(key->t1.poly + i, &pkt)) goto err; - memcpy(key->pub_encoding, in, in_len); - ret = 1; + + /* cache the hash of the encoded public key */ + if (!shake_xof(ctx, key->shake256_md, in, in_len, key->tr, sizeof(key->tr))) + goto err; + + key->pub_encoding = OPENSSL_memdup(in, in_len); + ret = (key->pub_encoding != NULL); err: + EVP_MD_CTX_free(ctx); return ret; } @@ -689,12 +708,12 @@ int ossl_ml_dsa_sk_encode(ML_DSA_KEY *key) { int ret = 0; const ML_DSA_PARAMS *params = key->params; - size_t i, k = params->k, l = params->l; + size_t i, written = 0, k = params->k, l = params->l; ENCODE_FN *encode_fn; size_t enc_len = params->sk_len; const POLY *t0 = key->t0.poly; WPACKET pkt; - uint8_t *enc = OPENSSL_zalloc(enc_len); + uint8_t *enc = OPENSSL_malloc(enc_len); if (enc == NULL) return 0; @@ -719,6 +738,9 @@ int ossl_ml_dsa_sk_encode(ML_DSA_KEY *key) for (i = 0; i < k; ++i) if (!poly_encode_signed_two_to_power_12(t0++, &pkt)) goto err; + if (!WPACKET_get_total_written(&pkt, &written) + || written != enc_len) + goto err; OPENSSL_clear_free(key->priv_encoding, enc_len); key->priv_encoding = enc; ret = 1; @@ -741,17 +763,16 @@ err: */ int ossl_ml_dsa_sk_decode(ML_DSA_KEY *key, const uint8_t *in, size_t in_len) { - int ret = 0; - uint8_t *enc = NULL; DECODE_FN *decode_fn; const ML_DSA_PARAMS *params = key->params; size_t i, k = params->k, l = params->l; PACKET pkt; + if (key->priv_encoding != NULL || key->pub_encoding != NULL) + return 0; /* Do not allow key mutation */ if (in_len != key->params->sk_len) return 0; - enc = OPENSSL_memdup(in, in_len); - if (enc == NULL) + if (!ossl_ml_dsa_key_priv_alloc(key)) return 0; /* eta is the range of private key coefficients (-eta...eta) */ @@ -777,11 +798,10 @@ int ossl_ml_dsa_sk_decode(ML_DSA_KEY *key, const uint8_t *in, size_t in_len) goto err; if (PACKET_remaining(&pkt) != 0) goto err; - OPENSSL_clear_free(key->priv_encoding, in_len); - key->priv_encoding = enc; - ret = 1; + key->priv_encoding = OPENSSL_memdup(in, in_len); + return key->priv_encoding != NULL; err: - return ret; + return 0; } /* @@ -804,10 +824,8 @@ static int hint_bits_encode(const VECTOR *hint, WPACKET *pkt, uint32_t omega) for (i = 0; i < k; i++, p++) { for (j = 0; j < ML_DSA_NUM_POLY_COEFFICIENTS; j++) - if (p->coeff[j] != 0) { - assert(coeff_index < omega); + if (p->coeff[j] != 0) data[coeff_index++] = j; - } data[omega + i] = (uint8_t)coeff_index; } return 1; diff --git a/crypto/ml_dsa/ml_dsa_hash.h b/crypto/ml_dsa/ml_dsa_hash.h index 532d9e557f0..6bafa566a67 100644 --- a/crypto/ml_dsa/ml_dsa_hash.h +++ b/crypto/ml_dsa/ml_dsa_hash.h @@ -10,30 +10,30 @@ #include static ossl_inline ossl_unused int -shake_xof(EVP_MD_CTX *ctx, const uint8_t *in, size_t in_len, +shake_xof(EVP_MD_CTX *ctx, const EVP_MD *md, const uint8_t *in, size_t in_len, uint8_t *out, size_t out_len) { - return (EVP_DigestInit_ex2(ctx, NULL, NULL) == 1 + return (EVP_DigestInit_ex2(ctx, md, NULL) == 1 && EVP_DigestUpdate(ctx, in, in_len) == 1 && EVP_DigestSqueeze(ctx, out, out_len) == 1); } static ossl_inline ossl_unused int -shake_xof_2(EVP_MD_CTX *ctx, const uint8_t *in1, size_t in1_len, +shake_xof_2(EVP_MD_CTX *ctx, const EVP_MD *md, const uint8_t *in1, size_t in1_len, const uint8_t *in2, size_t in2_len, uint8_t *out, size_t out_len) { - return EVP_DigestInit_ex2(ctx, NULL, NULL) + return EVP_DigestInit_ex2(ctx, md, NULL) && EVP_DigestUpdate(ctx, in1, in1_len) && EVP_DigestUpdate(ctx, in2, in2_len) && EVP_DigestSqueeze(ctx, out, out_len); } static ossl_inline ossl_unused int -shake_xof_3(EVP_MD_CTX *ctx, const uint8_t *in1, size_t in1_len, +shake_xof_3(EVP_MD_CTX *ctx, const EVP_MD *md, const uint8_t *in1, size_t in1_len, const uint8_t *in2, size_t in2_len, const uint8_t *in3, size_t in3_len, uint8_t *out, size_t out_len) { - return EVP_DigestInit_ex2(ctx, NULL, NULL) + return EVP_DigestInit_ex2(ctx, md, NULL) && EVP_DigestUpdate(ctx, in1, in1_len) && EVP_DigestUpdate(ctx, in2, in2_len) && EVP_DigestUpdate(ctx, in3, in3_len) diff --git a/crypto/ml_dsa/ml_dsa_key.c b/crypto/ml_dsa/ml_dsa_key.c index 55f524df2d0..ff9728f964d 100644 --- a/crypto/ml_dsa/ml_dsa_key.c +++ b/crypto/ml_dsa/ml_dsa_key.c @@ -10,6 +10,7 @@ #include #include #include +#include #include #include "ml_dsa_local.h" #include "ml_dsa_key.h" @@ -21,31 +22,56 @@ * @brief Create a new ML_DSA_KEY object * * @param libctx A OSSL_LIB_CTX object used for fetching algorithms. + * @param propq The property query used for fetching algorithms * @param alg The algorithm name associated with the key type * @returns The new ML_DSA_KEY object on success, or NULL on malloc failure */ -ML_DSA_KEY *ossl_ml_dsa_key_new(OSSL_LIB_CTX *libctx, const char *alg) +ML_DSA_KEY *ossl_ml_dsa_key_new(OSSL_LIB_CTX *libctx, const char *propq, + const char *alg) { ML_DSA_KEY *ret; - size_t poly_sz; const ML_DSA_PARAMS *params = ossl_ml_dsa_params_get(alg); - POLY *poly; if (params == NULL) return NULL; - poly_sz = sizeof(POLY) * (params->k * 3 + params->l); - ret = OPENSSL_zalloc(sizeof(*ret) + poly_sz); + ret = OPENSSL_zalloc(sizeof(*ret)); if (ret != NULL) { ret->libctx = libctx; ret->params = params; - poly = (POLY *)((uint8_t *)ret + sizeof(*ret)); - vector_init(&ret->t0, poly, params->k); - vector_init(&ret->t1, poly + params->k, params->k); - vector_init(&ret->s2, poly + 2 * params->k, params->k); - vector_init(&ret->s1, poly + 3 * params->k, params->l); + ret->shake128_md = EVP_MD_fetch(libctx, "SHAKE-128", propq); + ret->shake256_md = EVP_MD_fetch(libctx, "SHAKE-256", propq); + if (ret->shake128_md == NULL || ret->shake256_md == NULL) + goto err; } return ret; +err: + ossl_ml_dsa_key_free(ret); + return NULL; +} + +int ossl_ml_dsa_key_pub_alloc(ML_DSA_KEY *key) +{ + if (key->t1.poly != NULL) + return 0; + return vector_alloc(&key->t1, key->params->k); +} + +int ossl_ml_dsa_key_priv_alloc(ML_DSA_KEY *key) +{ + size_t k = key->params->k, l = key->params->l; + POLY *poly; + + if (key->s1.poly != NULL) + return 0; + if (!vector_alloc(&key->s1, l + 2 * k)) + return 0; + + poly = key->s1.poly; + key->s1.num_poly = l; + vector_init(&key->s2, poly + l, k); + vector_init(&key->t0, poly + l + k, k); + return 1; } /** @@ -56,6 +82,14 @@ void ossl_ml_dsa_key_free(ML_DSA_KEY *key) if (key == NULL) return; + EVP_MD_free(key->shake128_md); + EVP_MD_free(key->shake256_md); + vector_zero(&key->s2); + vector_zero(&key->s1); + vector_zero(&key->t0); + vector_free(&key->s1); + vector_free(&key->t1); + OPENSSL_cleanse(key->K, sizeof(key->K)); OPENSSL_free(key->pub_encoding); OPENSSL_free(key->priv_encoding); OPENSSL_free(key->propq); @@ -65,7 +99,9 @@ void ossl_ml_dsa_key_free(ML_DSA_KEY *key) /** * @brief Are 2 keys equal? * - * To be equal the keys must have the same key data and algorithm name. + * To be equal the keys must have matching public or private key data and + * contain the same parameters. + * (Note that in OpenSSL that the private key always has a public key component). * * @param key1 A ML_DSA_KEY object * @param key2 A ML_DSA_KEY object @@ -75,28 +111,30 @@ void ossl_ml_dsa_key_free(ML_DSA_KEY *key) int ossl_ml_dsa_key_equal(const ML_DSA_KEY *key1, const ML_DSA_KEY *key2, int selection) { + int key_checked = 0; + if (key1->params != key2->params) return 0; if ((selection & OSSL_KEYMGMT_SELECT_KEYPAIR) != 0) { if ((selection & OSSL_KEYMGMT_SELECT_PUBLIC_KEY) != 0) { - if (key1->pub_encoding != NULL) { - if (key2->pub_encoding == NULL - || memcmp(key1->pub_encoding, key2->pub_encoding, + if (key1->pub_encoding != NULL && key2->pub_encoding != NULL) { + if (memcmp(key1->pub_encoding, key2->pub_encoding, key1->params->pk_len) != 0) return 0; - } else if (key2->pub_encoding != NULL) { - return 0; + key_checked = 1; } } - if (key1->priv_encoding != NULL) { - if (key2->priv_encoding == NULL - || memcmp(key1->priv_encoding, key2->priv_encoding, - key1->params->sk_len) != 0) - return 0; - } else if (key2->priv_encoding != NULL) { - return 0; + if (!key_checked + && (selection & OSSL_KEYMGMT_SELECT_PRIVATE_KEY) != 0) { + if (key1->priv_encoding != NULL && key2->priv_encoding != NULL) { + if (memcmp(key1->priv_encoding, key2->priv_encoding, + key1->params->sk_len) != 0) + return 0; + key_checked = 1; + } } + return key_checked; } return 1; } @@ -104,61 +142,30 @@ int ossl_ml_dsa_key_equal(const ML_DSA_KEY *key1, const ML_DSA_KEY *key2, int ossl_ml_dsa_key_has(const ML_DSA_KEY *key, int selection) { if ((selection & OSSL_KEYMGMT_SELECT_KEYPAIR) != 0) { - if (key->pub_encoding == NULL) + /* Note that the public key always exists if there is a private key */ + if (ossl_ml_dsa_key_get_pub(key) == NULL) return 0; /* No public key */ if ((selection & OSSL_KEYMGMT_SELECT_PRIVATE_KEY) != 0 - && key->priv_encoding == 0) + && ossl_ml_dsa_key_get_priv(key) == NULL) return 0; /* No private key */ return 1; } return 0; } -/** - * @brief Load a ML_DSA key from raw data. - * - * @param key An ML_DSA key to load into - * @param params An array of parameters containing key data. - * @param include_private Set to 1 to optionally include the private key data - * if it exists. - * @returns 1 on success, or 0 on failure. - */ -int ossl_ml_dsa_key_fromdata(ML_DSA_KEY *key, const OSSL_PARAM params[], - int include_private) -{ - const OSSL_PARAM *p = NULL; - - /* Private key is optional */ - if (include_private) { - p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_PRIV_KEY); - if (p != NULL) { - if (p->data_type != OSSL_PARAM_OCTET_STRING - || !ossl_ml_dsa_sk_decode(key, p->data, p->data_size)) - return 0; - } - } - p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_PUB_KEY); - if (p != NULL) { - if (p->data_type != OSSL_PARAM_OCTET_STRING - || !ossl_ml_dsa_pk_decode(key, p->data, p->data_size)) - return 0; - } - return 1; -} - /* * @brief Given a key containing private key values for rho, s1 & s2 * generate the public value t and return the compressed values t1, t0. * - * @param ctx A Object containing algorithm specific constants and hash contexts. - * @param key A private key containing rh0, s1 & s2. + * @param key A private key containing params, rh0, s1 & s2. + * @param md_ctx A EVP_MD_CTX used for sampling. * @param t1 The returned polynomial encoding of the 10 MSB of each coefficient * of the uncompressed public key polynomial t. * @param t0 The returned polynomial encoding of the 13 LSB of each coefficient * of the uncompressed public key polynomial t. * @returns 1 on success, or 0 on failure. */ -static int public_from_private(const ML_DSA_KEY *key, EVP_MD_CTX *g_ctx, +static int public_from_private(const ML_DSA_KEY *key, EVP_MD_CTX *md_ctx, VECTOR *t1, VECTOR *t0) { const ML_DSA_PARAMS *params = key->params; @@ -177,7 +184,7 @@ static int public_from_private(const ML_DSA_KEY *key, EVP_MD_CTX *g_ctx, matrix_init(&a_ntt, s1_ntt.poly + l, k, l); /* Using rho generate A' = A in NTT form */ - if (!matrix_expand_A(g_ctx, key->rho, &a_ntt)) + if (!matrix_expand_A(md_ctx, key->shake128_md, key->rho, &a_ntt)) goto err; /* t = NTT_inv(A' * NTT(s1)) + s2 */ @@ -198,13 +205,90 @@ err: return 1; } +static int ml_dsa_key_public_from_private(ML_DSA_KEY *key) +{ + int ret = 0; + VECTOR t0; + EVP_MD_CTX *md_ctx = NULL; + + if (!vector_alloc(&t0, key->params->k)) /* t0 is already in the private key */ + return 0; + if (!ossl_ml_dsa_key_pub_alloc(key)) /* allocate space for t1 */ + return 0; + + md_ctx = EVP_MD_CTX_new(); + if (md_ctx == NULL) + goto err; + + ret = public_from_private(key, md_ctx, &key->t1, &t0) + && ossl_ml_dsa_pk_encode(key) + && shake_xof(md_ctx, key->shake256_md, + key->pub_encoding, key->params->pk_len, + key->tr, sizeof(key->tr)); +err: + vector_free(&t0); + EVP_MD_CTX_free(md_ctx); + return ret; +} + + +/** + * @brief Load a ML_DSA key from raw data. + * + * @param key An ML_DSA key to load into + * @param params An array of parameters containing key data. + * @param include_private Set to 1 to optionally include the private key data + * if it exists. + * @returns 1 on success, or 0 on failure. + */ +int ossl_ml_dsa_key_fromdata(ML_DSA_KEY *key, const OSSL_PARAM params[], + int include_private) +{ + const OSSL_PARAM *pub = NULL, *priv = NULL; + const uint8_t *pub_data = NULL, *priv_data = NULL; + size_t pub_data_len = 0, priv_data_len = 0; + + pub = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_PUB_KEY); + if (pub != NULL + && !OSSL_PARAM_get_octet_string_ptr(pub, (const void **)&pub_data, + &pub_data_len)) + return 0; + + /* Private key is optional */ + if (include_private) { + priv = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_PRIV_KEY); + if (priv != NULL) { + if (!OSSL_PARAM_get_octet_string_ptr(priv, (const void **)&priv_data, + &priv_data_len) + || !ossl_ml_dsa_sk_decode(key, priv_data, priv_data_len)) + return 0; + /* Always generate the public key from the private key */ + if (!ml_dsa_key_public_from_private(key)) + return 0; + /* Error if the supplied public key does not match the generated key */ + if (pub != NULL + && (pub_data_len != ossl_ml_dsa_key_get_pub_len(key) + || memcmp(ossl_ml_dsa_key_get_pub(key), pub_data, + pub_data_len) == 0)) + return 0; + } + } + + /* If we only have the public key component then just decode it */ + if (priv == NULL && pub != NULL) { + if (!ossl_ml_dsa_pk_decode(key, pub_data, pub_data_len)) + return 0; + } + return 1; +} + int ossl_ml_dsa_key_pairwise_check(const ML_DSA_KEY *key) { int ret = 0; - ML_DSA_CTX *ctx = NULL; VECTOR t1, t0; POLY *polys = NULL; uint32_t k = key->params->k; + EVP_MD_CTX *md_ctx = NULL; if (key->pub_encoding == NULL || key->priv_encoding == 0) return 0; @@ -212,46 +296,33 @@ int ossl_ml_dsa_key_pairwise_check(const ML_DSA_KEY *key) polys = OPENSSL_malloc(sizeof(*polys) * (2 * k)); if (polys == NULL) return 0; - - ctx = ossl_ml_dsa_ctx_new(key->params->alg, key->libctx, key->propq); - if (ctx == NULL) - return 0; + md_ctx = EVP_MD_CTX_new(); + if (md_ctx == NULL) + goto err; vector_init(&t1, polys, k); vector_init(&t0, polys + k, k); - if (!public_from_private(key, ctx->g_ctx, &t1, &t0)) + if (!public_from_private(key, md_ctx, &t1, &t0)) goto err; ret = vector_equal(&t1, &key->t1) && vector_equal(&t0, &key->t0); err: - ossl_ml_dsa_ctx_free(ctx); + EVP_MD_CTX_free(md_ctx); OPENSSL_free(polys); return ret; } -int ossl_ml_dsa_key_public_from_private(ML_DSA_KEY *key, ML_DSA_CTX *ctx) -{ - if (key->pub_encoding != NULL) - return 1; - if (key->priv_encoding == NULL) - return 0; - return public_from_private(key, ctx->g_ctx, &key->t1, &key->t0) - && ossl_ml_dsa_pk_encode(key) - && shake_xof(ctx->h_ctx, key->pub_encoding, key->params->pk_len, - key->tr, sizeof(key->tr)); -} - /* * @brief Generate a public-private key pair from a seed. * See FIPS 204, Algorithm 6 ML-DSA.KeyGen_internal(). * - * @param entropy The input seed - * @param entropy_len The size of entropy (Should be 32 bytes) - * + * @param seed The input seed + * @param seed_len The size of entropy (Must be 32 bytes) + * @param out The generated key (which contains params on input) * * @returns 1 on success or 0 on failure. */ -static int keygen_internal(ML_DSA_CTX *ctx, const uint8_t *seed, size_t seed_len, +static int keygen_internal(const uint8_t *seed, size_t seed_len, ML_DSA_KEY *out) { int ret = 0; @@ -260,52 +331,59 @@ static int keygen_internal(ML_DSA_CTX *ctx, const uint8_t *seed, size_t seed_len const uint8_t *const rho = expanded_seed; /* p = Public Random Seed */ const uint8_t *const priv_seed = expanded_seed + ML_DSA_RHO_BYTES; const uint8_t *const K = priv_seed + ML_DSA_PRIV_SEED_BYTES; - const ML_DSA_PARAMS *params = ctx->params; + const ML_DSA_PARAMS *params = out->params; + EVP_MD_CTX *md_ctx = NULL; + + md_ctx = EVP_MD_CTX_new(); + if (md_ctx == NULL + || !ossl_ml_dsa_key_pub_alloc(out) + || !ossl_ml_dsa_key_priv_alloc(out)) + goto err; /* augmented_seed = seed || k || l */ memcpy(augmented_seed, seed, seed_len); augmented_seed[ML_DSA_SEED_BYTES] = (uint8_t)params->k; augmented_seed[ML_DSA_SEED_BYTES + 1] = (uint8_t)params->l; /* Expand the seed into p[32], p'[64], K[32] */ - if (!shake_xof(ctx->h_ctx, augmented_seed, sizeof(augmented_seed), + if (!shake_xof(md_ctx, out->shake256_md, augmented_seed, sizeof(augmented_seed), expanded_seed, sizeof(expanded_seed))) goto err; memcpy(out->rho, rho, sizeof(out->rho)); memcpy(out->K, K, sizeof(out->K)); - ret = vector_expand_S(ctx->h_ctx, params->eta, priv_seed, &out->s1, &out->s2) - && public_from_private(out, ctx->g_ctx, &out->t1, &out->t0) + ret = vector_expand_S(md_ctx, out->shake256_md, params->eta, priv_seed, &out->s1, &out->s2) + && public_from_private(out, md_ctx, &out->t1, &out->t0) && ossl_ml_dsa_pk_encode(out) - && shake_xof(ctx->h_ctx, out->pub_encoding, out->params->pk_len, + && shake_xof(md_ctx, out->shake256_md, out->pub_encoding, out->params->pk_len, out->tr, sizeof(out->tr)) && ossl_ml_dsa_sk_encode(out); err: + EVP_MD_CTX_free(md_ctx); OPENSSL_cleanse(augmented_seed, sizeof(augmented_seed)); OPENSSL_cleanse(expanded_seed, sizeof(expanded_seed)); return ret; } -int ossl_ml_dsa_generate_key(ML_DSA_CTX *ctx, OSSL_LIB_CTX *lib_ctx, +int ossl_ml_dsa_generate_key(OSSL_LIB_CTX *lib_ctx, const uint8_t *entropy, size_t entropy_len, ML_DSA_KEY *out) { int ret = 0; - uint8_t seed[32]; + uint8_t seed[ML_DSA_SEED_BYTES]; size_t seed_len = sizeof(seed); - if (ctx->params != out->params) - return 0; - if (entropy != NULL && entropy_len != 0) { - if (entropy_len != seed_len) + if (entropy_len != seed_len) { + ERR_raise(ERR_LIB_PROV, PROV_R_INVALID_SEED_LENGTH); return 0; + } memcpy(seed, entropy, seed_len); } else { if (RAND_priv_bytes_ex(lib_ctx, seed, seed_len, 0) <= 0) goto err; } - ret = keygen_internal(ctx, seed, seed_len, out); + ret = keygen_internal(seed, seed_len, out); err: OPENSSL_cleanse(seed, seed_len); return ret; @@ -315,15 +393,15 @@ err: * @brief This is used when a ML DSA key is used for an operation. * This checks that the algorithm is the same (i.e. uses the same parameters) * - * @param ctx Contains ML_DSA algorithm functions and constants to be used for - * an operation. * @param key A ML_DSA key to use for an operation. + * @param alg The algorithm name associated with an operation * * @returns 1 if the algorithm matches, or 0 otherwise. */ -int ossl_ml_dsa_key_type_matches(ML_DSA_CTX *ctx, const ML_DSA_KEY *key) + +int ossl_ml_dsa_key_matches(const ML_DSA_KEY *key, const char *alg) { - return (key->params == ctx->params); + return (key->params == ossl_ml_dsa_params_get(alg)); } /* Returns the public key data or NULL if there is no public key */ @@ -332,7 +410,7 @@ const uint8_t *ossl_ml_dsa_key_get_pub(const ML_DSA_KEY *key) return key->pub_encoding; } -/* Returns the constant 2 * |n| which is the size of PK_SEED + PK_ROOT */ +/* Returns the encoded public key size */ size_t ossl_ml_dsa_key_get_pub_len(const ML_DSA_KEY *key) { return key->params->pk_len; @@ -367,13 +445,3 @@ const char *ossl_ml_dsa_key_get_name(const ML_DSA_KEY *key) { return key->params->alg; } - -int ossl_ml_dsa_set_priv(ML_DSA_KEY *key, const uint8_t *priv, size_t priv_len) -{ - return 0; -} - -int ossl_ml_dsa_set_pub(ML_DSA_KEY *key, const uint8_t *pub, size_t pub_len) -{ - return 0; -} diff --git a/crypto/ml_dsa/ml_dsa_key.h b/crypto/ml_dsa/ml_dsa_key.h index bddba9d62cd..aeef961cb80 100644 --- a/crypto/ml_dsa/ml_dsa_key.h +++ b/crypto/ml_dsa/ml_dsa_key.h @@ -13,12 +13,13 @@ #include "ml_dsa_vector.h" struct ml_dsa_key_st { - - CRYPTO_REF_COUNT references; OSSL_LIB_CTX *libctx; const ML_DSA_PARAMS *params; char *propq; + EVP_MD *shake128_md; + EVP_MD *shake256_md; + uint8_t rho[ML_DSA_RHO_BYTES]; /* public random seed */ uint8_t tr[ML_DSA_TR_BYTES]; /* Pre-cached public key Hash */ uint8_t K[ML_DSA_K_BYTES]; /* Private random seed for signing */ @@ -30,19 +31,21 @@ struct ml_dsa_key_st { uint8_t *pub_encoding; uint8_t *priv_encoding; - /* - * t0 is the Polynomial encoding of the 13 LSB of each coefficient of the - * uncompressed public key polynomial t. This is saved as part of the - * private key. It is column vector of K polynomials. - */ - VECTOR t0; /* * t1 is the Polynomial encoding of the 10 MSB of each coefficient of the * uncompressed public key polynomial t. This is saved as part of the * public key. It is column vector of K polynomials. * (There are 23 bits in q-modulus.. i.e 10 bits = 23 - 13) + * t1->poly is allocated. */ VECTOR t1; + /* + * t0 is the Polynomial encoding of the 13 LSB of each coefficient of the + * uncompressed public key polynomial t. This is saved as part of the + * private key. It is column vector of K polynomials. + */ + VECTOR t0; VECTOR s2; /* private secret of size K with short coefficients (-4..4) or (-2..2) */ VECTOR s1; /* private secret of size L with short coefficients (-4..4) or (-2..2) */ + /* The s1->poly block is allocated and has space for s2 and t0 also */ }; diff --git a/crypto/ml_dsa/ml_dsa_key_compress.c b/crypto/ml_dsa/ml_dsa_key_compress.c index d109fe0b560..f78571e7716 100644 --- a/crypto/ml_dsa/ml_dsa_key_compress.c +++ b/crypto/ml_dsa/ml_dsa_key_compress.c @@ -52,18 +52,17 @@ void ossl_ml_dsa_key_compress_power2_round(uint32_t r, uint32_t *r1, uint32_t *r /* * @brief return the r1 component of Decomposing r into (r1, r0) such that - * r == r1 * (2 & gamma) + r0 mod q + * r == r1 * (2 * gamma2) + r0 mod q * See FIPS 204, Algorithm 37, HighBits() * * @param r A value to decompose in the range (0..q-1) * @param gamma2 Depending on the algorithm gamma2 is either (q-1)/32 or (q-1)/88 - * @returns r1 + * @returns r1 (The high order bits) */ uint32_t ossl_ml_dsa_key_compress_high_bits(uint32_t r, uint32_t gamma2) { int32_t r1 = (r + 127) >> 7; - /* TODO - figure out what this is doing */ if (gamma2 == ML_DSA_GAMMA2_Q_MINUS1_DIV32) { r1 = (r1 * 1025 + (1 << 21)) >> 22; r1 &= 15; /* mod 16 */ @@ -76,8 +75,13 @@ uint32_t ossl_ml_dsa_key_compress_high_bits(uint32_t r, uint32_t gamma2) } /** - * TODO - document this + * @brief Decomposes r into (r1, r0) such that r == r1 * (2*gamma2) + r0 mod q. * See FIPS 204, Algorithm 36, Decompose() + * + * @param r A value to decompose in the range (0..q-1) + * @param gamma2 Depending on the algorithm gamma2 is either (q-1)/32 or (q-1)/88 + * @param r1 The returned high order bits + * @param r0 The returned low order bits */ void ossl_ml_dsa_key_compress_decompose(uint32_t r, uint32_t gamma2, uint32_t *r1, int32_t *r0) @@ -89,8 +93,13 @@ void ossl_ml_dsa_key_compress_decompose(uint32_t r, uint32_t gamma2, } /** - * TODO - document this + * @brief return the r0 component of Decomposing r into (r1, r0) such that + * r == r1 * (2 * gamma2) + r0 mod q * See FIPS 204, Algorithm 38, LowBits() + * + * @param r A value to decompose in the range (0..q-1) + * @param gamma2 Depending on the algorithm gamma2 is either (q-1)/32 or (q-1)/88 + * @param r0 The returned low order bits */ int32_t ossl_ml_dsa_key_compress_low_bits(uint32_t r, uint32_t gamma2) { @@ -102,14 +111,24 @@ int32_t ossl_ml_dsa_key_compress_low_bits(uint32_t r, uint32_t gamma2) } /* - * See FIPS 204, Algorithm 39 (`MakeHint`). + * @brief Computes hint bit indicating whether adding z to r alters the high + * bits of r + * See FIPS 204, Algorithm 39, MakeHint(). * * In the spec this takes two arguments, z and r, and is called with * z = -ct0 * r = w - cs2 + ct0 * * It then computes HighBits (algorithm 37) of z and z+r. - * But z+r is just w - cs2, so this takes three arguments and saves an addition. + * But z + r is just w - cs2, so this takes three arguments and saves an addition. + * + * @params ct0 A polynomial c (with coefficients of (-1,0,1)) multiplied by the + * polynomial vector t0 (which encodes the least significant bits of each coefficient of the + uncompressed public-key polynomial t) + * @params cs2 A polynomial c (with coefficients of (-1,0,1)) multiplied by s2 (a secret polynomial) + * @params gamma2 Depending on the algorithm gamma2 is either (q-1)/32 or (q-1)/88 + * @params w (A * y) + * @returns The hint bit. */ int32_t ossl_ml_dsa_key_compress_make_hint(uint32_t ct0, uint32_t cs2, uint32_t gamma2, uint32_t w) @@ -122,8 +141,15 @@ int32_t ossl_ml_dsa_key_compress_make_hint(uint32_t ct0, uint32_t cs2, } /* - * FIPS 204, Algorithm 40 (`UseHint`). - * This is not constant time + * @brief Returns the high bits of |r| adjusted according to hint |h|. + * FIPS 204, Algorithm 40, UseHint(). + * This is not constant time. + * + * @param hint The hint bit which is either 0 or 1 + * @param r A value to decompose in the range (0..q-1) + * @param gamma2 Depending on the algorithm gamma2 is either (q-1)/32 or (q-1)/88 + * + * @returns The adjusted high bits or r. */ uint32_t ossl_ml_dsa_key_compress_use_hint(uint32_t hint, uint32_t r, uint32_t gamma2) diff --git a/crypto/ml_dsa/ml_dsa_local.h b/crypto/ml_dsa/ml_dsa_local.h index ea9d92348e8..a93b6b64fc5 100644 --- a/crypto/ml_dsa/ml_dsa_local.h +++ b/crypto/ml_dsa/ml_dsa_local.h @@ -61,34 +61,20 @@ typedef struct poly_st POLY; typedef struct vector_st VECTOR; typedef struct matrix_st MATRIX; -/* - * FIPS 204 ML-DSA algorithms have different parameters which includes: - * - A set of constants (Section 4. contains 3 parameter sets) - * - * - OpenSSL also uses pre-fetched EVP_MD_CTX objects for Hashing purposes. - * - * ML_DSA_CTX is a container to hold all these objects. This object is - * resolved early and can then be used to pass these values to - * most ML-DSA related functions. - */ -struct ml_dsa_ctx_st { - const ML_DSA_PARAMS *params; - EVP_MD_CTX *h_ctx; /* SHAKE-256 */ - EVP_MD_CTX *g_ctx; /* SHAKE-128 */ -}; - typedef struct ml_dsa_sig_st ML_DSA_SIG; -int ossl_ml_dsa_matrix_expand_A(EVP_MD_CTX *g_ctx, const uint8_t *rho, MATRIX *out); -int ossl_ml_dsa_vector_expand_S(EVP_MD_CTX *h_ctx, int eta, const uint8_t *seed, - VECTOR *s1, VECTOR *s2); +int ossl_ml_dsa_matrix_expand_A(EVP_MD_CTX *g_ctx, const EVP_MD *md, + const uint8_t *rho, MATRIX *out); +int ossl_ml_dsa_vector_expand_S(EVP_MD_CTX *h_ctx, const EVP_MD *md, int eta, + const uint8_t *seed, VECTOR *s1, VECTOR *s2); void ossl_ml_dsa_matrix_mult_vector(const MATRIX *matrix_kl, const VECTOR *vl, VECTOR *vk); -int ossl_ml_dsa_poly_expand_mask(POLY *out, - const uint8_t *seed, size_t seed_len, - uint32_t gamma1, EVP_MD_CTX *h_ctx); +int ossl_ml_dsa_poly_expand_mask(POLY *out, const uint8_t *seed, size_t seed_len, + uint32_t gamma1, + EVP_MD_CTX *h_ctx, const EVP_MD *md); int ossl_ml_dsa_poly_sample_in_ball(POLY *out_c, const uint8_t *seed, int seed_len, - EVP_MD_CTX *h_ctx, uint32_t tau); + EVP_MD_CTX *h_ctx, const EVP_MD *md, + uint32_t tau); void ossl_ml_dsa_poly_ntt(POLY *s); void ossl_ml_dsa_poly_ntt_inverse(POLY *s); @@ -130,7 +116,7 @@ int ossl_ml_dsa_poly_decode_expand_mask(POLY *out, */ static ossl_inline ossl_unused uint32_t reduce_once(uint32_t x) { - return constant_time_select_32(constant_time_lt(x, ML_DSA_Q), x, x - ML_DSA_Q); + return constant_time_select_32(constant_time_lt_32(x, ML_DSA_Q), x, x - ML_DSA_Q); } /* @@ -152,23 +138,20 @@ static ossl_inline ossl_unused uint32_t mod_sub(uint32_t a, uint32_t b) /* * @brief Returns the absolute value in constant time. * i.e. return is_positive(x) ? x : -x; - * Note: MSVC doesn't like applying the unary minus operator to unsigned types - * (warning C4146), so we write the negation as a bitwise not plus one - * (assuming two's complement representation). */ static ossl_inline ossl_unused uint32_t abs_signed(uint32_t x) { - return constant_time_select_int(constant_time_lt(x, 0x80000000), x, 0u - x); + return constant_time_select_32(constant_time_lt_32(x, 0x80000000), x, 0u - x); } /* * @brief Returns the absolute value modulo q in constant time - * i.e return x > (q-1)/2 ? q - x : x; + * i.e return x > (q - 1) / 2 ? q - x : x; */ static ossl_inline ossl_unused uint32_t abs_mod_prime(uint32_t x) { - return constant_time_select_int(constant_time_lt(ML_DSA_Q_MINUS1_DIV2, x), - ML_DSA_Q - x, x); + return constant_time_select_32(constant_time_lt_32(ML_DSA_Q_MINUS1_DIV2, x), + ML_DSA_Q - x, x); } /* diff --git a/crypto/ml_dsa/ml_dsa_matrix.h b/crypto/ml_dsa/ml_dsa_matrix.h index afbe6e31df1..0b0722da2a1 100644 --- a/crypto/ml_dsa/ml_dsa_matrix.h +++ b/crypto/ml_dsa/ml_dsa_matrix.h @@ -37,7 +37,8 @@ matrix_mult_vector(const MATRIX *a, const VECTOR *s, VECTOR *t) } static ossl_inline ossl_unused int -matrix_expand_A(EVP_MD_CTX *g_ctx, const uint8_t *rho, MATRIX *out) +matrix_expand_A(EVP_MD_CTX *g_ctx, const EVP_MD *md, const uint8_t *rho, + MATRIX *out) { - return ossl_ml_dsa_matrix_expand_A(g_ctx, rho, out); + return ossl_ml_dsa_matrix_expand_A(g_ctx, md, rho, out); } diff --git a/crypto/ml_dsa/ml_dsa_ntt.c b/crypto/ml_dsa/ml_dsa_ntt.c index 71509337b58..c51c61eaf70 100644 --- a/crypto/ml_dsa/ml_dsa_ntt.c +++ b/crypto/ml_dsa/ml_dsa_ntt.c @@ -29,8 +29,9 @@ * Given that q = 2^23 - 2^13 + 1 * We can chose a Montgomery multiplier of R = 2^32. * - * To transform a into montgomery form m + * To transform |a| into Montgomery form |m| we use * m = a mod q * ((2^32)*(2^32) mod q) + * which is then Montgomery reduced, removing the excess factor of R = 2^32. */ /* diff --git a/crypto/ml_dsa/ml_dsa_params.h b/crypto/ml_dsa/ml_dsa_params.h index e6f4725aac9..a8cdac44867 100644 --- a/crypto/ml_dsa/ml_dsa_params.h +++ b/crypto/ml_dsa/ml_dsa_params.h @@ -18,7 +18,7 @@ struct ml_dsa_params_st { int tau; /* Number of +/-1's in polynomial c */ int bit_strength; /* The collision strength (lambda) */ int gamma1; /* coefficient range of y */ - int gamma2; /* coefficient range of ? */ + int gamma2; /* low-order rounding range */ size_t k, l; /* matrix dimensions of 'A' */ int eta; /* Private key range */ int beta; /* tau * eta */ diff --git a/crypto/ml_dsa/ml_dsa_poly.h b/crypto/ml_dsa/ml_dsa_poly.h index 9c4696499ca..03f317f54f1 100644 --- a/crypto/ml_dsa/ml_dsa_poly.h +++ b/crypto/ml_dsa/ml_dsa_poly.h @@ -72,9 +72,9 @@ poly_ntt(POLY *p) static ossl_inline ossl_unused int poly_sample_in_ball_ntt(POLY *out, const uint8_t *seed, int seed_len, - EVP_MD_CTX *h_ctx, uint32_t tau) + EVP_MD_CTX *h_ctx, const EVP_MD *md, uint32_t tau) { - if (!ossl_ml_dsa_poly_sample_in_ball(out, seed, seed_len, h_ctx, tau)) + if (!ossl_ml_dsa_poly_sample_in_ball(out, seed, seed_len, h_ctx, md, tau)) return 0; poly_ntt(out); return 1; @@ -82,9 +82,9 @@ poly_sample_in_ball_ntt(POLY *out, const uint8_t *seed, int seed_len, static ossl_inline ossl_unused int poly_expand_mask(POLY *out, const uint8_t *seed, size_t seed_len, - uint32_t gamma1, EVP_MD_CTX *h_ctx) + uint32_t gamma1, EVP_MD_CTX *h_ctx, const EVP_MD *md) { - return ossl_ml_dsa_poly_expand_mask(out, seed, seed_len, gamma1, h_ctx); + return ossl_ml_dsa_poly_expand_mask(out, seed, seed_len, gamma1, h_ctx, md); } /** @@ -182,30 +182,3 @@ poly_max_signed(const POLY *p, uint32_t *mx) *mx = maximum(*mx, abs); } } - -#if defined(ML_DSA_DEBUG) -static ossl_inline ossl_unused void poly_print(const POLY *p) -{ - size_t i; - - for (i = 0; i < ML_DSA_NUM_POLY_COEFFICIENTS; ++i) { - if (i > 0 && ((i & 31) == 0)) - printf("\n"); - printf("%3x,", p->coeff[i]); - } - printf("\n"); -} - -static ossl_inline ossl_unused void poly_print_signed(const POLY *p) -{ - size_t i; - - for (i = 0; i < ML_DSA_NUM_POLY_COEFFICIENTS; ++i) { - if (i > 0 && ((i & 31) == 0)) - printf("\n"); - printf("%3d,", p->coeff[i] > ML_DSA_Q_MINUS1_DIV2 - ? (int)p->coeff[i] - (int)ML_DSA_Q : (int)p->coeff[i]); - } - printf("\n"); -} -#endif diff --git a/crypto/ml_dsa/ml_dsa_sample.c b/crypto/ml_dsa/ml_dsa_sample.c index 0e7e5ef45ea..21c2c380f4e 100644 --- a/crypto/ml_dsa/ml_dsa_sample.c +++ b/crypto/ml_dsa/ml_dsa_sample.c @@ -17,6 +17,17 @@ #define SHAKE128_BLOCKSIZE SHA3_BLOCKSIZE(128) #define SHAKE256_BLOCKSIZE SHA3_BLOCKSIZE(256) +/* + * This is a constant time version of n % 5 + * Note that 0xFFFF / 5 = 0x3333, 2 is added to make an over-estimate of 1/5 + * and then we divide by (0xFFFF + 1) + */ +#define MOD5(n) ((n) - 5 * (0x3335 * (n) >> 16)) + +#if SHAKE128_BLOCKSIZE % 3 != 0 +# error "rej_ntt_poly() requires SHAKE128_BLOCKSIZE to be a multiple of 3" +#endif + typedef int (COEFF_FROM_NIBBLE_FUNC)(uint32_t nibble, uint32_t *out); static COEFF_FROM_NIBBLE_FUNC coeff_from_nibble_4; @@ -76,7 +87,7 @@ static ossl_inline int coeff_from_nibble_4(uint32_t nibble, uint32_t *out) static ossl_inline int coeff_from_nibble_2(uint32_t nibble, uint32_t *out) { if (value_barrier_32(nibble < 15)) { - *out = mod_sub(2, nibble % 5); + *out = mod_sub(2, MOD5(nibble)); return 1; } return 0; @@ -92,7 +103,8 @@ static ossl_inline int coeff_from_nibble_2(uint32_t nibble, uint32_t *out) * * See FIPS 204, Algorithm 30, RejNTTPoly() * - * @param g_ctx A pre-fetched SHAKE128 context used for sampling the seed. + * @param g_ctx A EVP_MD_CTX object used for sampling the seed. + * @param md A pre-fetched SHAKE128 object. * @param seed The seed to use for sampling. * @param seed_len The size of |seed| * @param out The returned polynomial with coefficients in the range of @@ -100,7 +112,7 @@ static ossl_inline int coeff_from_nibble_2(uint32_t nibble, uint32_t *out) * @returns 1 if the polynomial was successfully generated, or 0 if any of the * digest operations failed. */ -static int rej_ntt_poly(EVP_MD_CTX *g_ctx, +static int rej_ntt_poly(EVP_MD_CTX *g_ctx, const EVP_MD *md, const uint8_t *seed, size_t seed_len, POLY *out) { int j = 0; @@ -110,7 +122,7 @@ static int rej_ntt_poly(EVP_MD_CTX *g_ctx, * Instead of just squeezing 3 bytes at a time, we grab a whole block * Note that the shake128 blocksize of 168 is divisible by 3. */ - if (!shake_xof(g_ctx, seed, seed_len, blocks, sizeof(blocks))) + if (!shake_xof(g_ctx, md, seed, seed_len, blocks, sizeof(blocks))) return 0; while (1) { @@ -131,7 +143,8 @@ static int rej_ntt_poly(EVP_MD_CTX *g_ctx, * SHAKE256 is used to absorb the seed, and then samples are squeezed. * See FIPS 204, Algorithm 31, RejBoundedPoly() * - * @param h_ctx A pre-fetched SHAKE256 context used for sampling the seed. + * @param h_ctx A EVP_MD_CTX object context used to sample the seed. + * @param md A pre-fetched SHAKE256 object. * @param coef_from_nibble A function that is dependent on eta, which takes a * nibble and tries to see if it is in the correct range. * @param seed The seed to use for sampling. @@ -141,7 +154,7 @@ static int rej_ntt_poly(EVP_MD_CTX *g_ctx, * @returns 1 if the polynomial was successfully generated, or 0 if any of the * digest operations failed. */ -static int rej_bounded_poly(EVP_MD_CTX *h_ctx, +static int rej_bounded_poly(EVP_MD_CTX *h_ctx, const EVP_MD *md, COEFF_FROM_NIBBLE_FUNC *coef_from_nibble, const uint8_t *seed, size_t seed_len, POLY *out) { @@ -150,7 +163,7 @@ static int rej_bounded_poly(EVP_MD_CTX *h_ctx, uint8_t blocks[SHAKE256_BLOCKSIZE], *b, *end = blocks + sizeof(blocks); /* Instead of just squeezing 1 byte at a time, we grab a whole block */ - if (!shake_xof(h_ctx, seed, seed_len, blocks, sizeof(blocks))) + if (!shake_xof(h_ctx, md, seed, seed_len, blocks, sizeof(blocks))) return 0; while (1) { @@ -175,15 +188,16 @@ static int rej_bounded_poly(EVP_MD_CTX *h_ctx, * elements using rejection sampling. * See FIPS 204, Algorithm 32, ExpandA() * - * @param g_ctx A pre-fetched SHAKE128 context used for rejection sampling + * @param g_ctx A EVP_MD_CTX context used for rejection sampling * seed values generated from the seed rho. + * @param md A pre-fetched SHAKE128 object * @param rho A 32 byte seed to generated the matrix from. * @param out The generated k * l matrix of polynomials with coefficients * in the range of 0..q-1. * @returns 1 if the matrix was generated, or 0 on error. */ -int ossl_ml_dsa_matrix_expand_A(EVP_MD_CTX *g_ctx, const uint8_t *rho, - MATRIX *out) +int ossl_ml_dsa_matrix_expand_A(EVP_MD_CTX *g_ctx, const EVP_MD *md, + const uint8_t *rho, MATRIX *out) { int ret = 0; size_t i, j; @@ -198,7 +212,7 @@ int ossl_ml_dsa_matrix_expand_A(EVP_MD_CTX *g_ctx, const uint8_t *rho, derived_seed[ML_DSA_RHO_BYTES + 1] = (uint8_t)i; derived_seed[ML_DSA_RHO_BYTES] = (uint8_t)j; /* Generate the polynomial for each matrix element using a unique seed */ - if (!rej_ntt_poly(g_ctx, derived_seed, sizeof(derived_seed), poly++)) + if (!rej_ntt_poly(g_ctx, md, derived_seed, sizeof(derived_seed), poly++)) goto err; } } @@ -214,7 +228,8 @@ err: * See FIPS 204, Algorithm 33, ExpandS(). * Note that in FIPS 204 the range -eta..eta is used. * - * @param h_ctx A pre-fetched SHAKE256 context used for sampling the seed. + * @param h_ctx A EVP_MD_CTX context to use to sample the seed. + * @param md A pre-fetched SHAKE256 object. * @param eta Is either 2 or 4, and determines the range of the coefficients for * s1 and s2. * @param seed A 64 byte seed to use for sampling. @@ -224,8 +239,8 @@ err: * the range (q-eta)..0..eta * @returns 1 if s1 and s2 were successfully generated, or 0 otherwise. */ -int ossl_ml_dsa_vector_expand_S(EVP_MD_CTX *h_ctx, int eta, const uint8_t *seed, - VECTOR *s1, VECTOR *s2) +int ossl_ml_dsa_vector_expand_S(EVP_MD_CTX *h_ctx, const EVP_MD *md, int eta, + const uint8_t *seed, VECTOR *s1, VECTOR *s2) { int ret = 0; size_t i; @@ -245,13 +260,13 @@ int ossl_ml_dsa_vector_expand_S(EVP_MD_CTX *h_ctx, int eta, const uint8_t *seed, derived_seed[ML_DSA_PRIV_SEED_BYTES + 1] = 0; for (i = 0; i < l; i++) { - if (!rej_bounded_poly(h_ctx, coef_from_nibble_fn, + if (!rej_bounded_poly(h_ctx, md, coef_from_nibble_fn, derived_seed, sizeof(derived_seed), &s1->poly[i])) goto err; ++derived_seed[ML_DSA_PRIV_SEED_BYTES]; } for (i = 0; i < k; i++) { - if (!rej_bounded_poly(h_ctx, coef_from_nibble_fn, + if (!rej_bounded_poly(h_ctx, md, coef_from_nibble_fn, derived_seed, sizeof(derived_seed), &s2->poly[i])) goto err; ++derived_seed[ML_DSA_PRIV_SEED_BYTES]; @@ -262,14 +277,14 @@ err: } /* See FIPS 204, Algorithm 34, ExpandMask(), Step 4 & 5 */ -int ossl_ml_dsa_poly_expand_mask(POLY *out, - const uint8_t *seed, size_t seed_len, - uint32_t gamma1, EVP_MD_CTX *h_ctx) +int ossl_ml_dsa_poly_expand_mask(POLY *out, const uint8_t *seed, size_t seed_len, + uint32_t gamma1, + EVP_MD_CTX *h_ctx, const EVP_MD *md) { uint8_t buf[32 * 20]; size_t buf_len = 32 * (gamma1 == ML_DSA_GAMMA1_TWO_POWER_19 ? 20 : 18); - return shake_xof(h_ctx, seed, seed_len, buf, buf_len) + return shake_xof(h_ctx, md, seed, seed_len, buf, buf_len) && ossl_ml_dsa_poly_decode_expand_mask(out, buf, buf_len, gamma1); } @@ -288,7 +303,8 @@ int ossl_ml_dsa_poly_expand_mask(POLY *out, * that is less than or equal to 64 */ int ossl_ml_dsa_poly_sample_in_ball(POLY *out_c, const uint8_t *seed, int seed_len, - EVP_MD_CTX *h_ctx, uint32_t tau) + EVP_MD_CTX *h_ctx, const EVP_MD *md, + uint32_t tau) { uint8_t block[SHAKE256_BLOCKSIZE]; uint64_t signs; @@ -299,7 +315,7 @@ int ossl_ml_dsa_poly_sample_in_ball(POLY *out_c, const uint8_t *seed, int seed_l * Rather than squeeze 8 bytes followed by lots of 1 byte squeezes * the SHAKE blocksize is squeezed each time and buffered into 'block'. */ - if (!shake_xof(h_ctx, seed, seed_len, block, sizeof(block))) + if (!shake_xof(h_ctx, md, seed, seed_len, block, sizeof(block))) return 0; /* diff --git a/crypto/ml_dsa/ml_dsa_sign.c b/crypto/ml_dsa/ml_dsa_sign.c index 019e2ce02d5..4d0e068c8db 100644 --- a/crypto/ml_dsa/ml_dsa_sign.c +++ b/crypto/ml_dsa/ml_dsa_sign.c @@ -47,15 +47,15 @@ static void signature_init(ML_DSA_SIG *sig, * FIPS 204, Algorithm 7, ML-DSA.Sign_internal() * @returns 1 on success and 0 on failure. */ -static int ml_dsa_sign_internal(ML_DSA_CTX *ctx, const ML_DSA_KEY *priv, +static int ml_dsa_sign_internal(const ML_DSA_KEY *priv, const uint8_t *encoded_msg, size_t encoded_msg_len, const uint8_t *rnd, size_t rnd_len, uint8_t *out_sig) { int ret = 0; - const ML_DSA_PARAMS *params = ctx->params; - EVP_MD_CTX *h_ctx = ctx->h_ctx; + const ML_DSA_PARAMS *params = priv->params; + EVP_MD_CTX *md_ctx = NULL; uint32_t k = params->k, l = params->l; uint32_t gamma1 = params->gamma1, gamma2 = params->gamma2; uint8_t *alloc = NULL, *w1_encoded; @@ -85,6 +85,10 @@ static int ml_dsa_sign_internal(ML_DSA_CTX *ctx, const ML_DSA_KEY *priv, alloc = OPENSSL_malloc(alloc_len); if (alloc == NULL) return 0; + md_ctx = EVP_MD_CTX_new(); + if (md_ctx == NULL) + goto err; + w1_encoded = alloc; /* Init the temp vectors to point to the allocated polys blob */ p = (POLY *)(w1_encoded + w1_encoded_len); @@ -104,11 +108,12 @@ static int ml_dsa_sign_internal(ML_DSA_CTX *ctx, const ML_DSA_KEY *priv, signature_init(&sig, p, k, p + k, l, c_tilde, c_tilde_len); /* End of the allocated blob setup */ - if (!matrix_expand_A(ctx->g_ctx, priv->rho, &a_ntt) - || !shake_xof_2(h_ctx, priv->tr, sizeof(priv->tr), + if (!matrix_expand_A(md_ctx, priv->shake128_md, priv->rho, &a_ntt) + || !shake_xof_2(md_ctx, priv->shake256_md, priv->tr, sizeof(priv->tr), encoded_msg, encoded_msg_len, mu, sizeof(mu)) - || !shake_xof_3(h_ctx, priv->K, sizeof(priv->K), rnd, rnd_len, - mu, sizeof(mu), rho_prime, sizeof(rho_prime))) + || !shake_xof_3(md_ctx, priv->shake256_md, priv->K, sizeof(priv->K), + rnd, rnd_len, mu, sizeof(mu), + rho_prime, sizeof(rho_prime))) goto err; vector_copy(&s1_ntt, &priv->s1); @@ -129,7 +134,7 @@ static int ml_dsa_sign_internal(ML_DSA_CTX *ctx, const ML_DSA_KEY *priv, uint32_t z_max, r0_max, ct0_max, h_ones; vector_expand_mask(&y, rho_prime, sizeof(rho_prime), kappa, - gamma1, ctx->h_ctx); + gamma1, md_ctx, priv->shake256_md); vector_copy(y_ntt, &y); vector_ntt(y_ntt); @@ -139,12 +144,12 @@ static int ml_dsa_sign_internal(ML_DSA_CTX *ctx, const ML_DSA_KEY *priv, vector_high_bits(&w, gamma2, &w1); ossl_ml_dsa_w1_encode(&w1, gamma2, w1_encoded, w1_encoded_len); - if (!shake_xof_2(h_ctx, mu, sizeof(mu), w1_encoded, w1_encoded_len, - c_tilde, c_tilde_len)) + if (!shake_xof_2(md_ctx, priv->shake256_md, mu, sizeof(mu), + w1_encoded, w1_encoded_len, c_tilde, c_tilde_len)) break; - if (!poly_sample_in_ball_ntt(c_ntt, c_tilde, c_tilde_len, ctx->h_ctx, - params->tau)) + if (!poly_sample_in_ball_ntt(c_ntt, c_tilde, c_tilde_len, + md_ctx, priv->shake256_md, params->tau)) break; vector_mult_scalar(&s1_ntt, c_ntt, &cs1); @@ -182,6 +187,7 @@ static int ml_dsa_sign_internal(ML_DSA_CTX *ctx, const ML_DSA_KEY *priv, break; } err: + EVP_MD_CTX_free(md_ctx); OPENSSL_clear_free(alloc, alloc_len); OPENSSL_cleanse(rho_prime, sizeof(rho_prime)); return ret; @@ -190,7 +196,7 @@ err: /* * See FIPS 204, Algorithm 8, ML-DSA.Verify_internal(). */ -static int ml_dsa_verify_internal(ML_DSA_CTX *ctx, const ML_DSA_KEY *pub, +static int ml_dsa_verify_internal(const ML_DSA_KEY *pub, const uint8_t *msg_enc, size_t msg_enc_len, const uint8_t *sig_enc, size_t sig_enc_len) { @@ -200,7 +206,7 @@ static int ml_dsa_verify_internal(ML_DSA_CTX *ctx, const ML_DSA_KEY *pub, MATRIX a_ntt; VECTOR az_ntt, ct1_ntt, *z_ntt, *w1, *w_approx; ML_DSA_SIG sig; - const ML_DSA_PARAMS *params = ctx->params; + const ML_DSA_PARAMS *params = pub->params; uint32_t k = pub->params->k; uint32_t l = pub->params->l; uint32_t gamma2 = params->gamma2; @@ -212,7 +218,7 @@ static int ml_dsa_verify_internal(ML_DSA_CTX *ctx, const ML_DSA_KEY *pub, uint8_t mu[ML_DSA_MU_BYTES]; uint8_t c_tilde[ML_DSA_MAX_LAMBDA / 4]; uint8_t c_tilde_sig[ML_DSA_MAX_LAMBDA / 4]; - EVP_MD_CTX *h_ctx = ctx->h_ctx; + EVP_MD_CTX *md_ctx = NULL; size_t c_tilde_len = params->bit_strength >> 2; uint32_t z_max; @@ -225,6 +231,10 @@ static int ml_dsa_verify_internal(ML_DSA_CTX *ctx, const ML_DSA_KEY *pub, + num_polys_sig)); if (alloc == NULL) return 0; + md_ctx = EVP_MD_CTX_new(); + if (md_ctx == NULL) + goto err; + w1_encoded = alloc; /* Init the temp vectors to point to the allocated polys blob */ p = (POLY *)(w1_encoded + w1_encoded_len); @@ -236,14 +246,14 @@ static int ml_dsa_verify_internal(ML_DSA_CTX *ctx, const ML_DSA_KEY *pub, vector_init(&az_ntt, p, k); vector_init(&ct1_ntt, p + k, k); - if (!ossl_ml_dsa_sig_decode(&sig, sig_enc, sig_enc_len, ctx->params) - || !matrix_expand_A(ctx->g_ctx, pub->rho, &a_ntt) - || !shake_xof_2(h_ctx, pub->tr, sizeof(pub->tr), + if (!ossl_ml_dsa_sig_decode(&sig, sig_enc, sig_enc_len, pub->params) + || !matrix_expand_A(md_ctx, pub->shake128_md, pub->rho, &a_ntt) + || !shake_xof_2(md_ctx, pub->shake256_md, pub->tr, sizeof(pub->tr), msg_enc, msg_enc_len, mu, sizeof(mu))) goto err; /* Compute verifiers challenge c_ntt = NTT(SampleInBall(c_tilde) */ - if (!poly_sample_in_ball_ntt(c_ntt, c_tilde_sig, c_tilde_len, ctx->h_ctx, - params->tau)) + if (!poly_sample_in_ball_ntt(c_ntt, c_tilde_sig, c_tilde_len, + md_ctx, pub->shake256_md, params->tau)) goto err; /* ct1_ntt = NTT(c) * NTT(t1 * 2^d) */ @@ -266,14 +276,15 @@ static int ml_dsa_verify_internal(ML_DSA_CTX *ctx, const ML_DSA_KEY *pub, vector_use_hint(&sig.hint, w_approx, gamma2, w1); ossl_ml_dsa_w1_encode(w1, gamma2, w1_encoded, w1_encoded_len); - if (!shake_xof_3(h_ctx, mu, sizeof(mu), w1_encoded, w1_encoded_len, NULL, 0, - c_tilde, c_tilde_len)) + if (!shake_xof_3(md_ctx, pub->shake256_md, mu, sizeof(mu), + w1_encoded, w1_encoded_len, NULL, 0, c_tilde, c_tilde_len)) goto err; ret = (z_max < (uint32_t)(params->gamma1 - params->beta)) && memcmp(c_tilde, sig.c_tilde, c_tilde_len) == 0; err: OPENSSL_free(alloc); + EVP_MD_CTX_free(md_ctx); return ret; } @@ -321,7 +332,7 @@ static uint8_t *msg_encode(const uint8_t *msg, size_t msg_len, if (encoded_len <= tmp_len) { encoded = tmp; } else { - encoded = OPENSSL_zalloc(encoded_len); + encoded = OPENSSL_malloc(encoded_len); if (encoded == NULL) return NULL; } @@ -337,7 +348,7 @@ static uint8_t *msg_encode(const uint8_t *msg, size_t msg_len, * * @returns 1 on success, or 0 on error. */ -int ossl_ml_dsa_sign(ML_DSA_CTX *ctx, const ML_DSA_KEY *priv, +int ossl_ml_dsa_sign(const ML_DSA_KEY *priv, const uint8_t *msg, size_t msg_len, const uint8_t *context, size_t context_len, const uint8_t *rand, size_t rand_len, int encode, @@ -350,19 +361,18 @@ int ossl_ml_dsa_sign(ML_DSA_CTX *ctx, const ML_DSA_KEY *priv, if (ossl_ml_dsa_key_get_priv(priv) == NULL) return 0; if (sig != NULL) { - if (sig_size < ctx->params->sig_len) + if (sig_size < priv->params->sig_len) return 0; m = msg_encode(msg, msg_len, context, context_len, encode, m_tmp, sizeof(m_tmp), &m_len); if (m == NULL) return 0; - ret = ml_dsa_sign_internal(ctx, priv, m, m_len, rand, rand_len, - sig); + ret = ml_dsa_sign_internal(priv, m, m_len, rand, rand_len, sig); if (m != msg && m != m_tmp) OPENSSL_free(m); } if (sig_len != NULL) - *sig_len = ctx->params->sig_len; + *sig_len = priv->params->sig_len; return ret; } @@ -370,7 +380,7 @@ int ossl_ml_dsa_sign(ML_DSA_CTX *ctx, const ML_DSA_KEY *priv, * See FIPS 203 Section 5.3 Algorithm 3 ML-DSA.Verify() * @returns 1 on success, or 0 on error. */ -int ossl_ml_dsa_verify(ML_DSA_CTX *ctx, ML_DSA_KEY *pub, +int ossl_ml_dsa_verify(const ML_DSA_KEY *pub, const uint8_t *msg, size_t msg_len, const uint8_t *context, size_t context_len, int encode, const uint8_t *sig, size_t sig_len) @@ -380,8 +390,7 @@ int ossl_ml_dsa_verify(ML_DSA_CTX *ctx, ML_DSA_KEY *pub, uint8_t m_tmp[1024]; int ret = 0; - if (ossl_ml_dsa_key_get_pub(pub) == NULL - && !ossl_ml_dsa_key_public_from_private(pub, ctx)) + if (ossl_ml_dsa_key_get_pub(pub) == NULL) return 0; m = msg_encode(msg, msg_len, context, context_len, encode, @@ -389,7 +398,7 @@ int ossl_ml_dsa_verify(ML_DSA_CTX *ctx, ML_DSA_KEY *pub, if (m == NULL) return 0; - ret = ml_dsa_verify_internal(ctx, pub, m, m_len, sig, sig_len); + ret = ml_dsa_verify_internal(pub, m, m_len, sig, sig_len); if (m != msg && m != m_tmp) OPENSSL_free(m); return ret; diff --git a/crypto/ml_dsa/ml_dsa_vector.h b/crypto/ml_dsa/ml_dsa_vector.h index 64f4efde048..e5b05069980 100644 --- a/crypto/ml_dsa/ml_dsa_vector.h +++ b/crypto/ml_dsa/ml_dsa_vector.h @@ -7,6 +7,7 @@ * https://www.openssl.org/source/license.html */ +#include #include "ml_dsa_poly.h" struct vector_st { @@ -29,18 +30,39 @@ void vector_init(VECTOR *v, POLY *polys, size_t num_polys) v->num_poly = num_polys; } +static ossl_inline ossl_unused +int vector_alloc(VECTOR *v, size_t num_polys) +{ + v->poly = OPENSSL_malloc(num_polys * sizeof(POLY)); + if (v->poly == NULL) + return 0; + v->num_poly = num_polys; + return 1; +} + +static ossl_inline ossl_unused +void vector_free(VECTOR *v) +{ + OPENSSL_free(v->poly); + v->poly = NULL; +} + /* @brief zeroize a vectors polynomial coefficients */ static ossl_inline ossl_unused void vector_zero(VECTOR *va) { - memset(va->poly, 0, va->num_poly * sizeof(va->poly[0])); + if (va->poly != NULL) + memset(va->poly, 0, va->num_poly * sizeof(va->poly[0])); } -/* @brief copy a vector */ +/* + * @brief copy a vector + * The assumption is that |dst| has already been initialized + */ static ossl_inline ossl_unused void vector_copy(VECTOR *dst, const VECTOR *src) { - dst->num_poly = src->num_poly; + assert(dst->num_poly == src->num_poly); memcpy(dst->poly, src->poly, src->num_poly * sizeof(src->poly[0])); } @@ -110,15 +132,16 @@ vector_mult_scalar(const VECTOR *lhs, const POLY *rhs, VECTOR *out) } static ossl_inline ossl_unused int -vector_expand_S(EVP_MD_CTX *h_ctx, int eta, const uint8_t *seed, - VECTOR *s1, VECTOR *s2) +vector_expand_S(EVP_MD_CTX *h_ctx, const EVP_MD *md, int eta, + const uint8_t *seed, VECTOR *s1, VECTOR *s2) { - return ossl_ml_dsa_vector_expand_S(h_ctx, eta, seed, s1, s2); + return ossl_ml_dsa_vector_expand_S(h_ctx, md, eta, seed, s1, s2); } static ossl_inline ossl_unused void vector_expand_mask(VECTOR *out, const uint8_t *rho_prime, size_t rho_prime_len, - uint32_t kappa, uint32_t gamma1, EVP_MD_CTX *h_ctx) + uint32_t kappa, uint32_t gamma1, + EVP_MD_CTX *h_ctx, const EVP_MD *md) { size_t i; uint8_t derived_seed[ML_DSA_RHO_PRIME_BYTES + 2]; @@ -131,7 +154,7 @@ vector_expand_mask(VECTOR *out, const uint8_t *rho_prime, size_t rho_prime_len, derived_seed[ML_DSA_RHO_PRIME_BYTES] = index & 0xFF; derived_seed[ML_DSA_RHO_PRIME_BYTES + 1] = (index >> 8) & 0xFF; poly_expand_mask(out->poly + i, derived_seed, sizeof(derived_seed), - gamma1, h_ctx); + gamma1, h_ctx, md); } } @@ -231,27 +254,3 @@ vector_use_hint(const VECTOR *h, const VECTOR *r, uint32_t gamma2, VECTOR *out) for (i = 0; i < out->num_poly; i++) poly_use_hint(h->poly + i, r->poly + i, gamma2, out->poly + i); } - -#if defined(ML_DSA_DEBUG) -static ossl_inline ossl_unused void -vector_print(const char * name, const VECTOR *v) -{ - size_t i; - - printf("\nVECTOR %s:\n", name); - - for (i = 0; i < v->num_poly; ++i) - poly_print(v->poly + i); -} - -static ossl_inline ossl_unused void -vector_print_signed(const char * name, const VECTOR *v) -{ - size_t i; - - printf("\nVECTOR %s:\n", name); - - for (i = 0; i < v->num_poly; ++i) - poly_print_signed(v->poly + i); -} -#endif diff --git a/include/crypto/ml_dsa.h b/include/crypto/ml_dsa.h index e93539670ed..0434a2baf80 100644 --- a/include/crypto/ml_dsa.h +++ b/include/crypto/ml_dsa.h @@ -19,46 +19,37 @@ # define ML_DSA_MAX_CONTEXT_STRING_LEN 255 -typedef struct ml_dsa_ctx_st ML_DSA_CTX; - -__owur ML_DSA_KEY *ossl_ml_dsa_key_new(OSSL_LIB_CTX *libctx, const char *alg); +__owur ML_DSA_KEY *ossl_ml_dsa_key_new(OSSL_LIB_CTX *libctx, const char *propq, + const char *alg); +__owur int ossl_ml_dsa_key_pub_alloc(ML_DSA_KEY *key); +__owur int ossl_ml_dsa_key_priv_alloc(ML_DSA_KEY *key); void ossl_ml_dsa_key_free(ML_DSA_KEY *key); -__owur int ossl_ml_dsa_key_up_ref(ML_DSA_KEY *key); __owur int ossl_ml_dsa_key_equal(const ML_DSA_KEY *key1, const ML_DSA_KEY *key2, int selection); __owur int ossl_ml_dsa_key_has(const ML_DSA_KEY *key, int selection); __owur int ossl_ml_dsa_key_pairwise_check(const ML_DSA_KEY *key); -__owur int ossl_ml_dsa_key_public_from_private(ML_DSA_KEY *key, ML_DSA_CTX *ctx); __owur int ossl_ml_dsa_key_fromdata(ML_DSA_KEY *key, const OSSL_PARAM *params, int include_private); -__owur int ossl_ml_dsa_generate_key(ML_DSA_CTX *ctx, OSSL_LIB_CTX *libctx, +__owur int ossl_ml_dsa_generate_key(OSSL_LIB_CTX *libctx, const uint8_t *entropy, size_t entropy_len, ML_DSA_KEY *out); __owur const uint8_t *ossl_ml_dsa_key_get_pub(const ML_DSA_KEY *key); __owur const uint8_t *ossl_ml_dsa_key_get_priv(const ML_DSA_KEY *key); __owur size_t ossl_ml_dsa_key_get_pub_len(const ML_DSA_KEY *key); __owur size_t ossl_ml_dsa_key_get_collision_strength_bits(const ML_DSA_KEY *key); -__owur int ossl_ml_dsa_set_priv(ML_DSA_KEY *key, const uint8_t *priv, - size_t priv_len); -__owur int ossl_ml_dsa_set_pub(ML_DSA_KEY *key, const uint8_t *pub, - size_t pub_len); __owur size_t ossl_ml_dsa_key_get_priv_len(const ML_DSA_KEY *key); __owur size_t ossl_ml_dsa_key_get_sig_len(const ML_DSA_KEY *key); __owur const char *ossl_ml_dsa_key_get_name(const ML_DSA_KEY *key); -__owur int ossl_ml_dsa_key_type_matches(ML_DSA_CTX *ctx, const ML_DSA_KEY *key); +__owur int ossl_ml_dsa_key_matches(const ML_DSA_KEY *key, const char *alg); __owur int ossl_ml_dsa_key_to_text(BIO *out, const ML_DSA_KEY *key, int selection); void ossl_ml_dsa_key_set0_libctx(ML_DSA_KEY *key, OSSL_LIB_CTX *lib_ctx); -__owur ML_DSA_CTX *ossl_ml_dsa_ctx_new(const char *alg, - OSSL_LIB_CTX *lib_ctx, const char *propq); -void ossl_ml_dsa_ctx_free(ML_DSA_CTX *ctx); - -__owur int ossl_ml_dsa_sign(ML_DSA_CTX *ctx, const ML_DSA_KEY *priv, +__owur int ossl_ml_dsa_sign(const ML_DSA_KEY *priv, const uint8_t *msg, size_t msg_len, const uint8_t *context, size_t context_len, const uint8_t *rand, size_t rand_len, int encode, unsigned char *sig, size_t *siglen, size_t sigsize); -__owur int ossl_ml_dsa_verify(ML_DSA_CTX *ctx, ML_DSA_KEY *pub, +__owur int ossl_ml_dsa_verify(const ML_DSA_KEY *pub, const uint8_t *msg, size_t msg_len, const uint8_t *context, size_t context_len, int encode, const uint8_t *sig, size_t sig_len); diff --git a/include/internal/constant_time.h b/include/internal/constant_time.h index 0dfca0b106b..1f480d84d88 100644 --- a/include/internal/constant_time.h +++ b/include/internal/constant_time.h @@ -42,6 +42,10 @@ static ossl_inline unsigned int constant_time_lt(unsigned int a, /* Convenience method for getting an 8-bit mask. */ static ossl_inline unsigned char constant_time_lt_8(unsigned int a, unsigned int b); + +/* Convenience method for uint32_t. */ +static ossl_inline uint32_t constant_time_lt_32(uint32_t a, uint32_t b); + /* Convenience method for uint64_t. */ static ossl_inline uint64_t constant_time_lt_64(uint64_t a, uint64_t b); @@ -135,6 +139,11 @@ static ossl_inline unsigned char constant_time_lt_8(unsigned int a, return (unsigned char)constant_time_lt(a, b); } +static ossl_inline uint32_t constant_time_lt_32(uint32_t a, uint32_t b) +{ + return constant_time_msb_32(a ^ ((a ^ b) | ((a - b) ^ b))); +} + static ossl_inline uint64_t constant_time_lt_64(uint64_t a, uint64_t b) { return constant_time_msb_64(a ^ ((a ^ b) | ((a - b) ^ b))); diff --git a/providers/implementations/keymgmt/ml_dsa_kmgmt.c b/providers/implementations/keymgmt/ml_dsa_kmgmt.c index 8890c5de4d7..e959022adf0 100644 --- a/providers/implementations/keymgmt/ml_dsa_kmgmt.c +++ b/providers/implementations/keymgmt/ml_dsa_kmgmt.c @@ -10,6 +10,7 @@ #include #include #include +#include #include #include "crypto/ml_dsa.h" #include "internal/param_build_set.h" @@ -33,10 +34,7 @@ static OSSL_FUNC_keymgmt_gen_cleanup_fn ml_dsa_gen_cleanup; static OSSL_FUNC_keymgmt_gen_set_params_fn ml_dsa_gen_set_params; static OSSL_FUNC_keymgmt_gen_settable_params_fn ml_dsa_gen_settable_params; -#define ML_DSA_POSSIBLE_SELECTIONS (OSSL_KEYMGMT_SELECT_KEYPAIR) - struct ml_dsa_gen_ctx { - ML_DSA_CTX *ctx; OSSL_LIB_CTX *libctx; char *propq; uint8_t entropy[32]; @@ -48,7 +46,7 @@ static void *ml_dsa_new_key(void *provctx, const char *alg) if (!ossl_prov_is_running()) return 0; - return ossl_ml_dsa_key_new(PROV_LIBCTX_OF(provctx), alg); + return ossl_ml_dsa_key_new(PROV_LIBCTX_OF(provctx), NULL, alg); } static void ml_dsa_free_key(void *keydata) @@ -62,7 +60,7 @@ static int ml_dsa_has(const void *keydata, int selection) if (!ossl_prov_is_running() || key == NULL) return 0; - if ((selection & ML_DSA_POSSIBLE_SELECTIONS) == 0) + if ((selection & OSSL_KEYMGMT_SELECT_KEYPAIR) == 0) return 1; /* the selection is not missing */ return ossl_ml_dsa_key_has(key, selection); @@ -100,7 +98,7 @@ static int ml_dsa_import(void *keydata, int selection, const OSSL_PARAM params[] if (!ossl_prov_is_running() || key == NULL) return 0; - if ((selection & ML_DSA_POSSIBLE_SELECTIONS) == 0) + if ((selection & OSSL_KEYMGMT_SELECT_KEYPAIR) == 0) return 0; include_priv = ((selection & OSSL_KEYMGMT_SELECT_PRIVATE_KEY) != 0); @@ -117,7 +115,7 @@ static const OSSL_PARAM ml_dsa_key_types[] = { }; static const OSSL_PARAM *ml_dsa_imexport_types(int selection) { - if ((selection & ML_DSA_POSSIBLE_SELECTIONS) == 0) + if ((selection & OSSL_KEYMGMT_SELECT_KEYPAIR) == 0) return NULL; return ml_dsa_key_types; } @@ -266,23 +264,19 @@ static void *ml_dsa_gen(void *genctx, const char *alg) { struct ml_dsa_gen_ctx *gctx = genctx; ML_DSA_KEY *key = NULL; - ML_DSA_CTX *ctx = NULL; if (!ossl_prov_is_running()) return NULL; - ctx = ossl_ml_dsa_ctx_new(alg, gctx->libctx, gctx->propq); - if (ctx == NULL) - return NULL; - key = ossl_ml_dsa_key_new(gctx->libctx, alg); + key = ossl_ml_dsa_key_new(gctx->libctx, gctx->propq, alg); if (key == NULL) return NULL; - if (!ossl_ml_dsa_generate_key(ctx, gctx->libctx, - gctx->entropy, gctx->entropy_len, key)) + if (!ossl_ml_dsa_generate_key(gctx->libctx, gctx->entropy, gctx->entropy_len, + key)) { + ERR_raise(ERR_LIB_PROV, PROV_R_FAILED_TO_GENERATE_KEY); goto err; - ossl_ml_dsa_ctx_free(ctx); + } return key; err: - ossl_ml_dsa_ctx_free(ctx); ossl_ml_dsa_key_free(key); return NULL; } @@ -308,11 +302,9 @@ static int ml_dsa_gen_set_params(void *genctx, const OSSL_PARAM params[]) p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_PROPERTIES); if (p != NULL) { - if (p->data_type != OSSL_PARAM_UTF8_STRING) - return 0; OPENSSL_free(gctx->propq); - gctx->propq = OPENSSL_strdup(p->data); - if (gctx->propq == NULL) + gctx->propq = NULL; + if (!OSSL_PARAM_get_utf8_string(p, &gctx->propq, 0)) return 0; } return 1; diff --git a/providers/implementations/signature/ml_dsa_sig.c b/providers/implementations/signature/ml_dsa_sig.c index b17a37f9574..a429bae66f5 100644 --- a/providers/implementations/signature/ml_dsa_sig.c +++ b/providers/implementations/signature/ml_dsa_sig.c @@ -35,23 +35,20 @@ static OSSL_FUNC_signature_settable_ctx_params_fn ml_dsa_settable_ctx_params; typedef struct { ML_DSA_KEY *key; - ML_DSA_CTX *ctx; + OSSL_LIB_CTX *libctx; uint8_t context_string[ML_DSA_MAX_CONTEXT_STRING_LEN]; size_t context_string_len; uint8_t test_entropy[ML_DSA_ENTROPY_LEN]; size_t test_entropy_len; int msg_encode; int deterministic; - OSSL_LIB_CTX *libctx; - char *propq; + const char *alg; } PROV_ML_DSA_CTX; static void ml_dsa_freectx(void *vctx) { PROV_ML_DSA_CTX *ctx = (PROV_ML_DSA_CTX *)vctx; - OPENSSL_free(ctx->propq); - ossl_ml_dsa_ctx_free(ctx->ctx); OPENSSL_cleanse(ctx->test_entropy, ctx->test_entropy_len); OPENSSL_free(ctx); } @@ -68,17 +65,10 @@ static void *ml_dsa_newctx(void *provctx, const char *alg, const char *propq) return NULL; ctx->libctx = PROV_LIBCTX_OF(provctx); - if (propq != NULL && (ctx->propq = OPENSSL_strdup(propq)) == NULL) - goto err; - ctx->ctx = ossl_ml_dsa_ctx_new(alg, ctx->libctx, ctx->propq); - if (ctx->ctx == NULL) - goto err; ctx->msg_encode = ML_DSA_MESSAGE_ENCODE_PURE; + ctx->alg = alg; return ctx; - err: - ml_dsa_freectx(ctx); - return NULL; } static int ml_dsa_signverify_msg_init(void *vctx, void *vkey, @@ -97,15 +87,12 @@ static int ml_dsa_signverify_msg_init(void *vctx, void *vkey, return 0; } - if (key != NULL) { - if (!ossl_ml_dsa_key_type_matches(ctx->ctx, key)) - return 0; + if (key != NULL) ctx->key = vkey; - } - - if (!ml_dsa_set_ctx_params(ctx, params)) + if (!ossl_ml_dsa_key_matches(ctx->key, ctx->alg)) return 0; - return 1; + + return ml_dsa_set_ctx_params(ctx, params); } static int ml_dsa_sign_msg_init(void *vctx, void *vkey, const OSSL_PARAM params[]) @@ -136,7 +123,7 @@ static int ml_dsa_sign(void *vctx, unsigned char *sig, size_t *siglen, return 0; } } - ret = ossl_ml_dsa_sign(ctx->ctx, ctx->key, msg, msg_len, + ret = ossl_ml_dsa_sign(ctx->key, msg, msg_len, ctx->context_string, ctx->context_string_len, rnd, sizeof(rand_tmp), ctx->msg_encode, sig, siglen, sigsize); @@ -148,7 +135,7 @@ static int ml_dsa_sign(void *vctx, unsigned char *sig, size_t *siglen, static int ml_dsa_verify_msg_init(void *vctx, void *vkey, const OSSL_PARAM params[]) { return ml_dsa_signverify_msg_init(vctx, vkey, params, EVP_PKEY_OP_VERIFY, - "ML_DSA Verify Init"); + "ML_DSA Verify Init"); } static int ml_dsa_verify(void *vctx, const unsigned char *sig, size_t siglen, @@ -158,7 +145,7 @@ static int ml_dsa_verify(void *vctx, const unsigned char *sig, size_t siglen, if (!ossl_prov_is_running()) return 0; - return ossl_ml_dsa_verify(ctx->ctx, ctx->key, msg, msg_len, + return ossl_ml_dsa_verify(ctx->key, msg, msg_len, ctx->context_string, ctx->context_string_len, ctx->msg_encode, sig, siglen); } @@ -187,10 +174,13 @@ static int ml_dsa_set_ctx_params(void *vctx, const OSSL_PARAM params[]) if (p != NULL) { void *vp = pctx->test_entropy; + pctx->test_entropy_len = 0; if (!OSSL_PARAM_get_octet_string(p, &vp, sizeof(pctx->test_entropy), - &(pctx->test_entropy_len)) - || pctx->test_entropy_len != sizeof(pctx->test_entropy)) { + &(pctx->test_entropy_len))) + return 0; + if (pctx->test_entropy_len != sizeof(pctx->test_entropy)) { pctx->test_entropy_len = 0; + ERR_raise(ERR_LIB_PROV, PROV_R_INVALID_SEED_LENGTH); return 0; } } diff --git a/test/ml_dsa.inc b/test/ml_dsa.inc index d407d76a6d0..82bcba3991e 100644 --- a/test/ml_dsa.inc +++ b/test/ml_dsa.inc @@ -29,7 +29,7 @@ name##_keygen_priv, sizeof(name##_keygen_priv), \ } -typedef struct ml_dsa_sig_test_data_st { +typedef struct ml_dsa_sig_gen_test_data_st { const char *alg; const unsigned char *priv; size_t priv_len; @@ -40,7 +40,7 @@ typedef struct ml_dsa_sig_test_data_st { size_t sig_digest_len; const unsigned char *add_random; size_t add_random_len; -} ML_DSA_SIG_TEST_DATA; +} ML_DSA_SIG_GEN_TEST_DATA; typedef struct ml_dsa_keygen_test_data_st { const char *name; @@ -1019,7 +1019,7 @@ static const uint8_t ml_dsa_65_1_sig_gen_add_random[] = { 0xcc, 0x27, 0xed, 0x46, 0x87, 0x7c, 0xb9, 0x81, 0x16, 0x19, 0x9a, 0x0f, 0x41, 0x05, 0xfe, 0x32, }; -static ML_DSA_SIG_TEST_DATA ml_dsa_siggen_testdata[] = { +static ML_DSA_SIG_GEN_TEST_DATA ml_dsa_siggen_testdata[] = { ML_DSA_SIG_GEN_TEST_DET_ITEM("ML-DSA-65", ml_dsa_65_0_sig_gen), ML_DSA_SIG_GEN_TEST_ITEM("ML-DSA-65", ml_dsa_65_1_sig_gen), }; @@ -1798,3 +1798,5498 @@ static const ML_DSA_KEYGEN_TEST_DATA ml_dsa_keygen_testdata[] = { ML_DSA_KEYGEN_TEST_ITEM("ML-DSA-65", ml_dsa_65_0), ML_DSA_KEYGEN_TEST_ITEM("ML-DSA-65", ml_dsa_65_1), }; + +/* + * ACVP test data generated from https://github.com/usnistgov/ACVP-Server/blob/master/gen-val/json-files + * ML-DSA sigVer(version 42) + */ +#define ML_DSA_SIG_VER_TEST_ITEM(alg, name, id, expected) { \ + alg, \ + name##_sigver_pub, sizeof(name##_sigver_pub), \ + name##_sigver_##id##_msg, sizeof(name##_sigver_##id##_msg), \ + name##_sigver_##id##_sig, sizeof(name##_sigver_##id##_sig), \ + expected, \ +} + +typedef struct ml_dsa_sig_ver_test_data_st { \ + const char *alg; \ + const uint8_t *pub; \ + size_t pub_len; \ + const uint8_t *msg; \ + size_t msg_len; \ + const uint8_t *sig; \ + size_t sig_len; \ + int expected; \ +} ML_DSA_SIG_VER_TEST_DATA; + +static const uint8_t ML_DSA_44_sigver_pub[] = { + 0x09, 0xb4, 0x88, 0x7d, 0x97, 0xbc, 0xf6, 0x37, 0x9c, 0xc5, 0x9b, 0x61, 0x62, 0xc1, 0xe8, 0xbf, 0x05, 0x60, 0xbf, 0x44, 0xd6, 0x18, 0x09, 0x17, 0x0e, 0x6e, 0x28, 0xf7, 0x06, 0x69, 0xa3, 0xe9, + 0x49, 0x64, 0x38, 0xe8, 0x91, 0x57, 0x35, 0xad, 0xae, 0xb4, 0x45, 0xcf, 0xdb, 0x7d, 0x89, 0xb3, 0x8c, 0x04, 0x8f, 0x4c, 0x3e, 0x00, 0x58, 0x15, 0x14, 0xc5, 0xfd, 0x19, 0x8b, 0x2d, 0x17, 0x39, + 0xe8, 0x83, 0xb8, 0x78, 0xd5, 0x6b, 0xb4, 0x12, 0x64, 0xbe, 0x41, 0xd3, 0xd5, 0x15, 0x65, 0xe2, 0xe9, 0xca, 0xe3, 0x31, 0x84, 0xa8, 0x99, 0xf6, 0x2d, 0xd5, 0x7d, 0x07, 0x40, 0x0e, 0x98, 0xe5, + 0x86, 0x87, 0xa9, 0xb2, 0x2f, 0xa3, 0x17, 0xee, 0xd1, 0x34, 0xca, 0x72, 0x14, 0xbf, 0xf0, 0x21, 0xdd, 0x21, 0x62, 0xb1, 0x83, 0x09, 0x1d, 0x15, 0xf2, 0x63, 0xb7, 0x29, 0x82, 0x14, 0x42, 0x3c, + 0x6b, 0xb6, 0x96, 0xd7, 0x5c, 0x20, 0xd9, 0xea, 0xcd, 0x0a, 0x03, 0xe4, 0x26, 0x2c, 0x4b, 0x08, 0xbe, 0x39, 0xfa, 0x21, 0x54, 0xbd, 0x6e, 0x50, 0x25, 0xff, 0x79, 0x1e, 0x88, 0x5f, 0x22, 0x26, + 0xe3, 0xcf, 0x48, 0xf7, 0xb5, 0xeb, 0x04, 0xfb, 0xe9, 0xec, 0xf7, 0x5b, 0x19, 0xe1, 0xd1, 0x5c, 0x30, 0x5e, 0x92, 0x26, 0x0a, 0xb0, 0xd6, 0xae, 0x7d, 0xba, 0x7b, 0xbe, 0x73, 0xb6, 0xbc, 0x18, + 0x1c, 0xf9, 0x33, 0x84, 0x0c, 0xc1, 0x0a, 0x00, 0x05, 0x02, 0x28, 0xfa, 0x46, 0xa2, 0x63, 0x6d, 0xd9, 0xa9, 0x09, 0x47, 0xe9, 0xf1, 0x3a, 0x93, 0xef, 0x4c, 0x62, 0xbe, 0x37, 0x4d, 0x76, 0xd1, + 0xfd, 0xbb, 0xc5, 0xd8, 0xb5, 0x5e, 0x72, 0x9f, 0xa5, 0x86, 0x65, 0xaa, 0x07, 0xb9, 0x0c, 0x8c, 0xdd, 0xd6, 0x1c, 0x56, 0x6b, 0x0d, 0x7e, 0xd6, 0x57, 0x70, 0x49, 0x2e, 0xa0, 0x71, 0x3e, 0x1e, + 0xd4, 0x6a, 0xc7, 0xad, 0x15, 0x03, 0xc5, 0x6d, 0x90, 0x52, 0xd2, 0xc9, 0x4d, 0x49, 0xe4, 0x41, 0x6a, 0xc9, 0x2b, 0x70, 0x39, 0x6f, 0x76, 0xf6, 0xfb, 0x48, 0x10, 0x45, 0x68, 0x17, 0x25, 0xa6, + 0x8c, 0xb3, 0x56, 0x37, 0x7f, 0xb2, 0x31, 0xab, 0x8f, 0x3e, 0xb9, 0xa4, 0x98, 0x2f, 0xff, 0x18, 0x36, 0x47, 0x3b, 0xcb, 0xda, 0xb6, 0x87, 0x2d, 0x22, 0x94, 0x67, 0xef, 0xb9, 0x36, 0x62, 0x61, + 0xfe, 0xb1, 0x48, 0xba, 0x9b, 0x7d, 0xb9, 0xc4, 0xfe, 0x0b, 0xb8, 0x86, 0x12, 0xab, 0xb8, 0xfd, 0x61, 0x09, 0x6f, 0x18, 0x19, 0x60, 0x4d, 0x55, 0xdf, 0x60, 0x20, 0x46, 0x4d, 0x3f, 0x09, 0x2c, + 0xfc, 0xa5, 0x98, 0x12, 0x08, 0x22, 0x18, 0x56, 0x68, 0x99, 0xa5, 0x6a, 0x3c, 0x63, 0x3c, 0xc8, 0x1f, 0x88, 0xad, 0xb2, 0xe1, 0x41, 0x4e, 0xf3, 0x85, 0x0d, 0x10, 0xbf, 0x5a, 0x77, 0xac, 0xe7, + 0x24, 0xd6, 0xc1, 0xf3, 0x88, 0x92, 0x87, 0x44, 0xb3, 0xe5, 0x42, 0xae, 0x49, 0x1c, 0xd5, 0x6a, 0x64, 0x21, 0x3f, 0x1d, 0x3c, 0xc9, 0x0b, 0x29, 0x10, 0x5f, 0x43, 0xd2, 0x37, 0xc8, 0x3d, 0x5f, + 0xb8, 0x29, 0x32, 0x5c, 0x83, 0xe6, 0x54, 0x57, 0x77, 0x76, 0x39, 0x2f, 0x85, 0x36, 0xaa, 0x9d, 0xae, 0x87, 0x24, 0x07, 0xab, 0xaa, 0xa9, 0xac, 0xc2, 0x2a, 0x68, 0x12, 0xce, 0xa7, 0x4c, 0x0b, + 0xa6, 0x7e, 0xaf, 0x4a, 0x41, 0x01, 0x52, 0x97, 0x5e, 0x9a, 0x83, 0xee, 0x44, 0x69, 0x29, 0x53, 0x17, 0xbe, 0xd1, 0x05, 0x51, 0xba, 0x32, 0xe6, 0x5a, 0xfc, 0x8c, 0x8e, 0x68, 0xdd, 0x55, 0x42, + 0x0c, 0x50, 0x2d, 0x93, 0x7d, 0xad, 0xd2, 0xef, 0xa2, 0xcb, 0xfd, 0x1f, 0x73, 0x9f, 0xc0, 0xab, 0x2b, 0x26, 0x54, 0xfa, 0xe0, 0x8c, 0x0c, 0x7f, 0x8e, 0xdd, 0x43, 0xcf, 0x9f, 0xf0, 0xb0, 0x1d, + 0x98, 0x4d, 0x49, 0x18, 0x52, 0xa3, 0x72, 0xe9, 0xfe, 0xfd, 0xcc, 0x1b, 0xc1, 0x6c, 0xdb, 0x52, 0x39, 0xae, 0x10, 0x01, 0x15, 0x5f, 0x89, 0x56, 0x30, 0x51, 0xce, 0x47, 0x99, 0x6c, 0x5a, 0xee, + 0xb2, 0x19, 0x0e, 0xa1, 0x8f, 0x7f, 0x73, 0x40, 0x42, 0xde, 0x68, 0xe9, 0x88, 0x36, 0x7d, 0x89, 0x35, 0x5d, 0x9d, 0x83, 0x77, 0xba, 0xf9, 0x64, 0x79, 0x78, 0xeb, 0x2e, 0x49, 0x2a, 0xd0, 0x21, + 0xc5, 0x69, 0xae, 0x8b, 0xa6, 0x9b, 0x15, 0xf1, 0xfc, 0xf7, 0x03, 0x9a, 0x7e, 0x64, 0xaf, 0x10, 0xab, 0xf3, 0xea, 0x45, 0xb7, 0x22, 0x2f, 0x96, 0x59, 0xe3, 0x33, 0x73, 0x37, 0x2e, 0x1d, 0xb1, + 0x86, 0xd2, 0xc2, 0xa0, 0xd7, 0x54, 0x51, 0xc4, 0x78, 0xae, 0xf3, 0x3e, 0x59, 0x49, 0xf2, 0x40, 0x04, 0x0c, 0x2a, 0xfc, 0x44, 0xb1, 0xd3, 0xa0, 0x2a, 0x6d, 0x2f, 0x87, 0x90, 0x2a, 0x28, 0x0e, + 0x27, 0xa2, 0x0d, 0x4e, 0x57, 0xf8, 0x89, 0x66, 0x27, 0x00, 0xdb, 0x8a, 0x9d, 0x24, 0x99, 0x57, 0xa7, 0xdb, 0x43, 0x7c, 0xd4, 0x80, 0xdd, 0xc0, 0x58, 0x84, 0xfb, 0x23, 0xf8, 0x68, 0x26, 0x8e, + 0xac, 0xe3, 0x4e, 0xed, 0x27, 0x4a, 0x92, 0x7d, 0x9d, 0x84, 0xf1, 0xea, 0x57, 0xea, 0xb1, 0xa8, 0x13, 0xb5, 0xe6, 0xaa, 0xbe, 0x9e, 0xd2, 0x61, 0x0b, 0xc6, 0xf7, 0x2e, 0x32, 0x0c, 0xde, 0xc4, + 0xf9, 0x95, 0x23, 0xf9, 0x3f, 0xa4, 0x48, 0xdc, 0x1f, 0xbb, 0xdd, 0x25, 0x9b, 0x10, 0x2f, 0x5d, 0xc9, 0x95, 0x5a, 0xfa, 0x0c, 0x41, 0x60, 0x4d, 0x83, 0xdd, 0x1c, 0x2d, 0x22, 0x95, 0xef, 0x44, + 0x61, 0x45, 0x6b, 0xae, 0x86, 0x90, 0x5c, 0x4c, 0x30, 0xd8, 0xa9, 0xfa, 0x48, 0xc9, 0x0f, 0x37, 0xa1, 0x9c, 0x41, 0xa2, 0xd5, 0x98, 0x8f, 0x13, 0xd5, 0x13, 0x44, 0xec, 0x30, 0xa4, 0xa4, 0x62, + 0x19, 0xfe, 0x84, 0x11, 0x37, 0xd5, 0xaa, 0x1f, 0x51, 0xe6, 0xc4, 0x44, 0x16, 0x8a, 0xf3, 0x98, 0x90, 0xb6, 0xfa, 0x40, 0x0d, 0x67, 0xf4, 0x80, 0x6f, 0x5b, 0xbd, 0x44, 0x47, 0x03, 0x07, 0x4a, + 0x7a, 0x11, 0x39, 0xc7, 0x17, 0x46, 0xd7, 0xc4, 0xce, 0xb3, 0xc9, 0x11, 0xf5, 0x25, 0x7e, 0x3e, 0x53, 0xeb, 0xfa, 0x5a, 0xa8, 0xf2, 0x27, 0x80, 0x9d, 0x44, 0xee, 0x7d, 0xe1, 0x3c, 0x02, 0x79, + 0x24, 0xdd, 0x60, 0x15, 0x3b, 0x30, 0xaa, 0x76, 0xdd, 0x96, 0xa7, 0xc5, 0xac, 0xc5, 0x9b, 0x62, 0x79, 0x19, 0x50, 0x7b, 0xf1, 0x42, 0x57, 0xae, 0x7a, 0x26, 0x24, 0x3c, 0x16, 0x83, 0xb2, 0x8d, + 0x1b, 0x14, 0xb5, 0x01, 0xad, 0x05, 0x9b, 0x4d, 0x52, 0x2a, 0x57, 0x99, 0x1e, 0x55, 0x39, 0xce, 0xf1, 0x8c, 0xeb, 0x5c, 0x26, 0xd6, 0x60, 0xb8, 0x82, 0x24, 0x54, 0xc9, 0xc4, 0x2a, 0x95, 0xe6, + 0xf7, 0x2b, 0x84, 0xf7, 0x8a, 0xb9, 0x9f, 0x51, 0xec, 0x49, 0x78, 0x9f, 0x9d, 0xb4, 0xc1, 0x28, 0xb0, 0x31, 0x8f, 0xff, 0xc8, 0x2d, 0x95, 0xca, 0xd2, 0x77, 0xf1, 0x1e, 0x14, 0xf1, 0xef, 0x87, + 0x14, 0x14, 0x88, 0x11, 0x22, 0xa9, 0xb1, 0x1b, 0xdf, 0xae, 0x4a, 0x7a, 0xbc, 0x8e, 0x75, 0x75, 0x5a, 0xb1, 0x37, 0x41, 0xdf, 0xac, 0xd6, 0x64, 0x29, 0x3d, 0x1a, 0x32, 0x6b, 0xf5, 0xed, 0x5a, + 0xbb, 0xb1, 0x53, 0xeb, 0xe6, 0x99, 0x6d, 0xd6, 0x22, 0xf0, 0xa8, 0xcb, 0x47, 0x39, 0x69, 0xa5, 0x03, 0x66, 0xbd, 0x0b, 0x01, 0xc5, 0xc7, 0x3a, 0x89, 0x2b, 0x8e, 0x26, 0xce, 0x08, 0xf7, 0x5f, + 0xf8, 0x01, 0xb6, 0xde, 0xf0, 0x41, 0xe1, 0x71, 0x3b, 0xe6, 0xdf, 0x0e, 0xfb, 0x51, 0x58, 0x7b, 0xe5, 0xfb, 0xea, 0x72, 0x7e, 0x00, 0xd7, 0x17, 0x64, 0x7d, 0xd5, 0x39, 0x07, 0x9d, 0xe1, 0x8a, + 0xe7, 0xbe, 0xd1, 0x2b, 0x91, 0xaf, 0x8d, 0xbb, 0x1b, 0x8b, 0x32, 0xd2, 0x86, 0x0b, 0xaf, 0x40, 0xaf, 0x8a, 0x0b, 0xbf, 0xe0, 0x28, 0x87, 0xeb, 0x5d, 0xbe, 0x7a, 0xb1, 0xaf, 0xc4, 0x1d, 0xa7, + 0x9b, 0x01, 0x6a, 0xa1, 0x6e, 0xda, 0x28, 0x13, 0x21, 0xca, 0xa5, 0xda, 0x64, 0x4f, 0xd8, 0x65, 0x8a, 0x7b, 0x70, 0x21, 0x81, 0x00, 0x14, 0x31, 0x56, 0x0d, 0xd6, 0x3c, 0xb2, 0x1e, 0x5f, 0xf7, + 0x5c, 0x3f, 0x72, 0x50, 0x45, 0x6b, 0xe0, 0x8c, 0x0d, 0x5e, 0x34, 0xc3, 0xbd, 0xe2, 0xf6, 0x06, 0xa2, 0xbf, 0x34, 0x17, 0x76, 0x8d, 0x24, 0xb2, 0x37, 0x39, 0xea, 0x86, 0xcb, 0xef, 0xdd, 0xa3, + 0x43, 0x88, 0xbc, 0x1f, 0x91, 0x8f, 0x95, 0x1e, 0x15, 0xe4, 0x3b, 0x13, 0x85, 0xa7, 0xbc, 0xc5, 0x59, 0xf9, 0x49, 0x2c, 0x72, 0x13, 0xa1, 0x42, 0x27, 0xe0, 0x93, 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+}; +static const uint8_t ML_DSA_44_sigver_1_msg[] = { + 0x3a, 0xfd, 0x7f, 0xf8, 0xca, 0xd3, 0xac, 0xbd, 0xf9, 0x77, 0x31, 0x26, 0x1c, 0x7a, 0x1c, 0x96, 0x9d, 0x50, 0x16, 0xf1, 0x7d, 0x3e, 0x7f, 0x83, 0xd2, 0x44, 0x1a, 0xf9, 0x01, 0x4b, 0x63, 0x47, + 0x7b, 0x14, 0xa6, 0x41, 0x31, 0x50, 0xfa, 0xd7, 0xc8, 0x44, 0x39, 0xbc, 0x88, 0x66, 0x2c, 0x5e, 0x93, 0x1f, 0x06, 0xb9, 0x51, 0x41, 0x90, 0xe1, 0x3f, 0xb0, 0x49, 0xc4, 0xab, 0x74, 0x01, 0x32, + 0x33, 0xb9, 0x8d, 0x48, 0xd9, 0xaf, 0xb6, 0xa3, 0x0a, 0x67, 0x33, 0x0e, 0x1f, 0xbe, 0x33, 0x1b, 0x09, 0xc5, 0x6d, 0x03, 0x7e, 0x97, 0x01, 0x08, 0x5d, 0x80, 0xf1, 0xe7, 0xf4, 0x04, 0x3e, 0xfb, + 0x53, 0x58, 0x7a, 0xbb, 0x82, 0x36, 0x24, 0x01, 0x23, 0x84, 0x51, 0x52, 0x49, 0xee, 0x61, 0x30, 0x97, 0x3d, 0xc9, 0xea, 0x6f, 0x55, 0x8b, 0xae, 0x75, 0x10, 0x7e, 0xfd, 0xb1, 0xd9, 0x28, 0x5b, +}; +static const uint8_t ML_DSA_44_sigver_1_sig[] = { + 0x4a, 0x2b, 0x16, 0xcd, 0xb5, 0x52, 0xf9, 0x29, 0x7f, 0x8e, 0x39, 0x1a, 0xd8, 0xf5, 0xad, 0xc8, 0xcc, 0x5d, 0x2c, 0x56, 0xc4, 0x6b, 0x80, 0x0f, 0x9b, 0x3e, 0xe4, 0xbb, 0xd2, 0xf2, 0xe8, 0xa8, + 0x9d, 0x59, 0x9d, 0x7b, 0x5c, 0xc2, 0xd8, 0x8c, 0x80, 0xf2, 0x71, 0x85, 0x9b, 0xbc, 0x83, 0x04, 0x3e, 0xc4, 0xe5, 0x48, 0x12, 0xf5, 0x93, 0x6b, 0x44, 0x6c, 0x95, 0x13, 0xc8, 0x55, 0x28, 0x9c, + 0x94, 0xb1, 0x15, 0x51, 0xa0, 0xc7, 0x65, 0x3e, 0x7b, 0xa7, 0x4f, 0xfb, 0x6f, 0x72, 0xd4, 0x65, 0x2c, 0x91, 0xd3, 0x8d, 0xd1, 0xf9, 0x0d, 0xfe, 0x44, 0x39, 0xbc, 0x21, 0xca, 0x53, 0xe0, 0xcc, + 0x7a, 0x7a, 0xa5, 0xb8, 0x75, 0xa5, 0xb9, 0xba, 0x42, 0x36, 0x6e, 0xb8, 0xec, 0xba, 0x24, 0x36, 0xda, 0xf0, 0x8a, 0x91, 0x97, 0x8d, 0xd0, 0x93, 0xf2, 0x0f, 0x1e, 0xfb, 0x6b, 0x0b, 0xcb, 0x90, + 0xda, 0x99, 0xcc, 0xa0, 0x5e, 0x8f, 0x6f, 0x82, 0xb8, 0x6d, 0x3c, 0x6e, 0xe2, 0x4b, 0xa5, 0xd5, 0x0a, 0xea, 0x10, 0xb2, 0x30, 0x7f, 0x57, 0xf8, 0x9e, 0xd7, 0x8d, 0xb4, 0xa7, 0x4f, 0xbb, 0xf6, + 0xeb, 0x33, 0x2a, 0xfb, 0x08, 0xd0, 0x74, 0xac, 0xf0, 0xde, 0x5c, 0xd7, 0xfe, 0xc1, 0x2f, 0x76, 0xf3, 0xab, 0x61, 0x9c, 0x81, 0x5b, 0x9e, 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0xa2, 0x0a, 0x31, 0x70, 0x0f, 0x12, 0x2f, 0x4c, 0x4b, 0xb2, + 0x25, 0x2a, 0x2f, 0x3d, 0x5c, 0x5d, 0x68, 0x73, 0x83, 0x8c, 0x90, 0x95, 0x97, 0xbb, 0xca, 0xd8, 0xe1, 0x33, 0x3d, 0x5d, 0x61, 0x7c, 0x87, 0xc8, 0xee, 0x0f, 0x1b, 0x22, 0x38, 0x3b, 0x42, 0x4b, + 0x4c, 0x5c, 0x62, 0x72, 0x98, 0xa3, 0xbe, 0xcc, 0x1b, 0x32, 0x47, 0x5c, 0x9d, 0xb6, 0xb9, 0xbd, 0xc6, 0xd6, 0xdc, 0xf5, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x11, 0x19, 0x28, 0x34, +}; +static const uint8_t ML_DSA_44_sigver_2_msg[] = { + 0x8b, 0xf6, 0x6d, 0xd8, 0x68, 0xfb, 0xb9, 0xfb, 0x6b, 0x22, 0xb0, 0xbf, 0xdf, 0xda, 0x83, 0x7c, 0x40, 0x92, 0x8c, 0x26, 0xcc, 0xd6, 0x10, 0x0f, 0x0f, 0x53, 0xb4, 0xb1, 0x2f, 0xec, 0x0f, 0x31, + 0x3e, 0xa8, 0x53, 0x6b, 0xc7, 0x04, 0x17, 0xd0, 0xc1, 0x6c, 0x4d, 0xba, 0x53, 0xfa, 0xe0, 0x1a, 0xb5, 0x98, 0x36, 0xf6, 0x84, 0x1c, 0x47, 0xde, 0x61, 0x34, 0xdd, 0x80, 0xcb, 0x7b, 0x68, 0xb9, + 0xdc, 0x03, 0xba, 0xc0, 0xf5, 0x38, 0x14, 0x77, 0x88, 0x11, 0x43, 0x14, 0xb5, 0x72, 0x44, 0xed, 0xd3, 0x80, 0x2d, 0x97, 0xa6, 0xeb, 0x35, 0xf8, 0x68, 0x48, 0xa4, 0xdc, 0x7b, 0xa0, 0xe2, 0x05, + 0x81, 0x03, 0x2d, 0x97, 0xe7, 0xb4, 0x9a, 0xe2, 0x30, 0xdc, 0xe1, 0xba, 0x15, 0xb0, 0x26, 0x06, 0x11, 0x58, 0x21, 0xae, 0x80, 0xe9, 0xbc, 0x09, 0x9b, 0xa1, 0x74, 0x8f, 0x1b, 0x45, 0x53, 0x6a, +}; +static const uint8_t ML_DSA_44_sigver_2_sig[] = { + 0x3b, 0x11, 0xe6, 0x55, 0x91, 0x7f, 0x17, 0xaf, 0x59, 0xef, 0x6e, 0x3d, 0x4d, 0x8f, 0x1f, 0x0e, 0xeb, 0x23, 0x90, 0xc8, 0x3f, 0xf3, 0x7d, 0x7c, 0x55, 0x76, 0x2b, 0x8c, 0x56, 0x05, 0x62, 0x2a, + 0x88, 0x38, 0xbf, 0xa7, 0xd7, 0xd8, 0xdc, 0x31, 0xd0, 0x31, 0x7a, 0x7b, 0x5d, 0x42, 0x1e, 0x35, 0x61, 0xac, 0x35, 0x70, 0x17, 0xab, 0x59, 0x8e, 0xa7, 0x0a, 0xd5, 0x99, 0x41, 0xd2, 0x45, 0xbd, + 0x78, 0x7a, 0x05, 0xd0, 0x37, 0x75, 0x28, 0x7f, 0x74, 0xd3, 0x76, 0xb9, 0x28, 0xa1, 0x7e, 0xa9, 0x54, 0x8d, 0x14, 0x37, 0xf5, 0x7d, 0x88, 0x4b, 0x53, 0x3b, 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0xc1, 0x07, 0x82, 0xa4, 0xea, 0xd2, 0x64, 0x57, 0xfa, 0xd1, 0x62, 0x01, + 0x20, 0xd7, 0x65, 0x9a, 0x78, 0xb9, 0x20, 0x09, 0xee, 0x03, 0x03, 0xed, 0xb7, 0xa0, 0xd0, 0xda, 0x75, 0xe0, 0xf7, 0xb7, 0x91, 0xbd, 0xfe, 0xf2, 0x85, 0x99, 0x7c, 0x94, 0x45, 0x36, 0x1f, 0xc8, + 0xeb, 0x84, 0x47, 0x0d, 0xba, 0x40, 0x11, 0x6a, 0x99, 0x78, 0x83, 0x86, 0xbd, 0x18, 0x5f, 0xbb, 0xb0, 0x2c, 0x7d, 0x89, 0x64, 0xa5, 0x2d, 0x1b, 0xf9, 0xa2, 0x7f, 0xc8, 0x94, 0x27, 0x32, 0xfa, + 0x54, 0x20, 0x9d, 0xb9, 0x98, 0xfa, 0xdf, 0xb0, 0xd5, 0x91, 0xe1, 0x41, 0x89, 0x74, 0x82, 0x84, 0x42, 0x01, 0xac, 0xf0, 0xab, 0xb0, 0x77, 0xbf, 0x58, 0xa6, 0xed, 0x1d, 0x2a, 0x14, 0x38, 0x65, + 0x7e, 0x48, 0x6b, 0x59, 0x63, 0x75, 0x7a, 0x95, 0x87, 0x75, 0x97, 0xaa, 0x73, 0x07, 0x2a, 0xe8, 0x8a, 0x5b, 0x68, 0x1d, 0x4a, 0x18, 0x79, 0xa0, 0xcb, 0xc3, 0x61, 0x68, 0x1a, 0x9a, 0xda, 0xfb, + 0xee, 0x07, 0x96, 0xa7, 0x18, 0x25, 0xff, 0xa8, 0x89, 0xeb, 0x7c, 0x25, 0x8f, 0x7d, 0x6c, 0xe0, 0x2f, 0x3c, 0x26, 0x47, 0x35, 0x60, 0x13, 0xcc, 0x11, 0x5c, 0x9e, 0xea, 0xe8, 0xe5, 0x74, 0x20, + 0x94, 0x09, 0xd2, 0x71, 0xad, 0x54, 0x4b, 0x32, 0x9a, 0x8f, 0x06, 0x4f, 0x17, 0xbf, 0x3d, 0xe3, 0x1e, 0xb4, 0x39, 0x30, 0x7e, 0x4a, 0x45, 0x84, 0x69, 0x3b, 0x2d, 0x31, 0x92, 0x63, 0x81, 0x0c, + 0x4c, 0x23, 0xbe, 0xd4, 0x80, 0x17, 0x00, 0x81, 0xfa, 0x87, 0x0f, 0xcc, 0x67, 0xdd, 0x50, 0xa3, 0x36, 0xb9, 0xb1, 0x20, 0x68, 0x6b, 0xaa, 0xc8, 0x71, 0x30, 0x73, 0xc3, 0x70, 0x72, 0x31, 0xfb, + 0x7e, 0x02, 0xed, 0xb0, 0x4a, 0xd8, 0xbc, 0xe6, 0xc0, 0x24, 0xd5, 0xff, 0x79, 0x9d, 0x78, 0xe8, 0x44, 0xc6, 0x4f, 0x0e, 0x34, 0xee, 0x88, 0x96, 0x10, 0x62, 0x85, 0x0e, 0xcf, 0xc1, 0x0b, 0xc9, + 0x49, 0x5a, 0x7b, 0x83, 0x86, 0x94, 0x9e, 0xb9, 0xd1, 0xdd, 0xde, 0xee, 0xf6, 0x09, 0x1d, 0x26, 0x3c, 0x49, 0x4a, 0x4d, 0x57, 0x65, 0x68, 0x6b, 0x92, 0x93, 0x97, 0xa2, 0xce, 0xd0, 0xd3, 0xea, + 0xf2, 0xf7, 0x2b, 0x2d, 0x2e, 0x3d, 0x52, 0x61, 0x8a, 0x8e, 0x9b, 0x9f, 0xb5, 0xb7, 0xd5, 0xd8, 0xe1, 0xe3, 0xe5, 0xf2, 0xf3, 0x3c, 0x3d, 0x46, 0x47, 0x66, 0x9f, 0xa2, 0xbe, 0xbf, 0xc0, 0xc9, + 0xce, 0xd1, 0xd2, 0xe0, 0xef, 0xf8, 0xfb, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0d, 0x22, 0x35, 0x46, +}; +static const uint8_t ML_DSA_44_sigver_3_msg[] = { + 0xe0, 0x71, 0xbd, 0x63, 0x66, 0xc4, 0x3c, 0xac, 0xda, 0x40, 0x87, 0x18, 0x5e, 0xe9, 0x98, 0x55, 0xd3, 0xb0, 0xf6, 0xc5, 0xa8, 0x3f, 0xb9, 0xc2, 0x16, 0x7e, 0xa0, 0xce, 0x36, 0x5d, 0x6a, 0xda, + 0x30, 0x84, 0x4f, 0x05, 0xf1, 0x78, 0x51, 0x7b, 0xa7, 0x25, 0x19, 0xc3, 0x43, 0x9c, 0x6a, 0xcf, 0x57, 0xbf, 0x6c, 0xc7, 0x6d, 0x9f, 0x8d, 0x30, 0x77, 0xae, 0xdc, 0xb7, 0x40, 0xe4, 0xd1, 0xf4, + 0x03, 0xcb, 0xb5, 0xc8, 0xb8, 0xef, 0x15, 0x3f, 0x77, 0x64, 0x64, 0x35, 0x70, 0x31, 0x71, 0xf3, 0x35, 0xe0, 0xb3, 0x08, 0x51, 0x6d, 0xa5, 0xe5, 0x4d, 0x08, 0xf5, 0x06, 0xb8, 0xc8, 0xe0, 0x0c, + 0x5b, 0x89, 0xf5, 0xb4, 0x8f, 0xa0, 0xaf, 0x0a, 0xc8, 0xbe, 0x35, 0x13, 0x84, 0xda, 0x39, 0x6d, 0xb4, 0x94, 0x80, 0x20, 0xf1, 0x2d, 0x7d, 0xf8, 0x7f, 0x44, 0x69, 0x68, 0xf9, 0xdd, 0xfe, 0xac, +}; +static const uint8_t ML_DSA_44_sigver_3_sig[] = { + 0xb4, 0xdf, 0xab, 0x28, 0x7b, 0x55, 0xd2, 0x7f, 0x80, 0x11, 0x7c, 0x3b, 0x13, 0x10, 0x26, 0xd7, 0x5f, 0x55, 0x2f, 0x75, 0xc6, 0xe7, 0x98, 0x00, 0xa1, 0xf3, 0xed, 0xbb, 0x0f, 0xe6, 0xf1, 0x4d, + 0xc1, 0xfc, 0xea, 0x47, 0xba, 0x92, 0x7b, 0x06, 0x5d, 0x35, 0x77, 0xdb, 0x99, 0x7f, 0x74, 0x77, 0x8b, 0xe8, 0x32, 0x7a, 0x0d, 0x29, 0xc5, 0x0f, 0xad, 0x1b, 0x1e, 0x48, 0x04, 0xa6, 0xe5, 0x5e, + 0xc1, 0x8a, 0x21, 0x1e, 0x1a, 0x80, 0x34, 0x33, 0x0d, 0x5a, 0x32, 0xcf, 0x7e, 0x84, 0xe9, 0x10, 0x31, 0xfc, 0x85, 0xcd, 0x7f, 0xbf, 0xfe, 0xd7, 0x0a, 0xf9, 0x34, 0xc7, 0x0b, 0x85, 0x28, 0x18, + 0xca, 0x28, 0x2c, 0xfb, 0x4b, 0x2c, 0xa9, 0x85, 0xc8, 0x00, 0x39, 0x22, 0xff, 0x47, 0x06, 0xdd, 0x38, 0x99, 0xee, 0x39, 0xec, 0xb3, 0x21, 0x3f, 0xf2, 0xbd, 0xb4, 0x4e, 0x05, 0x34, 0xe2, 0xdc, + 0xd4, 0xc2, 0xef, 0x67, 0xdb, 0xe3, 0x98, 0x3f, 0xb7, 0x36, 0x21, 0xb2, 0xfc, 0xd0, 0x4d, 0x36, 0x89, 0x6e, 0xbe, 0xed, 0x28, 0xf9, 0x57, 0x9c, 0x07, 0x3d, 0x2e, 0x3b, 0x73, 0x0b, 0xe4, 0xf1, + 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0x54, 0xe4, 0x1b, 0x96, 0x8a, 0x35, 0x5a, 0x69, 0x66, 0xee, + 0x2b, 0x8a, 0x66, 0x6a, 0x1b, 0x82, 0x3c, 0x6b, 0x58, 0xaf, 0x43, 0x1b, 0x3a, 0x49, 0x03, 0x8d, 0x0f, 0xab, 0xb4, 0xe6, 0xe6, 0xd7, 0x49, 0xee, 0xf9, 0x7a, 0xf3, 0xd6, 0xef, 0x39, 0x8b, 0xbd, + 0x04, 0xf7, 0x2f, 0xfa, 0x05, 0x3a, 0x49, 0x90, 0x8e, 0x0e, 0xa0, 0x3a, 0xc4, 0x44, 0x61, 0xf8, 0x7b, 0x5a, 0x91, 0x5f, 0x86, 0x98, 0x00, 0xc4, 0x61, 0xa3, 0x27, 0x85, 0xfb, 0x42, 0x1a, 0x1a, + 0x43, 0x5d, 0xef, 0x95, 0xf8, 0x40, 0xb8, 0x75, 0x5f, 0xa2, 0xc7, 0x14, 0x6e, 0x1e, 0x02, 0xfa, 0x8b, 0x50, 0xa9, 0xa3, 0xa7, 0x57, 0x17, 0x41, 0xd8, 0x25, 0x96, 0xc9, 0x49, 0x0b, 0x09, 0xc8, + 0x37, 0x8a, 0xc2, 0x71, 0x9f, 0x66, 0x17, 0x3b, 0x35, 0xe0, 0x3f, 0x3c, 0xc6, 0x34, 0xda, 0x6f, 0xf3, 0x7f, 0x73, 0xdb, 0x2c, 0x11, 0x90, 0x53, 0x39, 0x87, 0x40, 0x5b, 0x1b, 0x7e, 0xe6, 0xc2, + 0x91, 0x1d, 0x83, 0xea, 0x6b, 0xf4, 0xba, 0xd5, 0x5d, 0x85, 0xff, 0x27, 0x96, 0xee, 0x04, 0x4b, 0xf7, 0x22, 0x79, 0xa6, 0xd2, 0x3e, 0x84, 0xaf, 0x03, 0xc5, 0xe7, 0x37, 0x81, 0x5e, 0x31, 0xab, + 0x5b, 0xdc, 0xce, 0x09, 0x5b, 0xc4, 0x72, 0x0d, 0x5d, 0xae, 0x26, 0x60, 0x5b, 0x0a, 0xeb, 0x99, 0x3f, 0x23, 0x56, 0x74, 0x13, 0x94, 0x98, 0xfb, 0xb1, 0x53, 0xfe, 0x0e, 0xbe, 0x49, 0xa4, 0xd7, + 0x6a, 0xec, 0x2d, 0xd4, 0x25, 0x2e, 0x9c, 0x63, 0xd8, 0x91, 0xce, 0x3f, 0x30, 0x4c, 0xc8, 0x8a, 0x6d, 0x22, 0xdd, 0xef, 0xd8, 0x80, 0xe0, 0xb2, 0x16, 0x44, 0x38, 0xa0, 0x28, 0x2b, 0x24, 0x77, + 0x76, 0x32, 0x36, 0x8c, 0x2e, 0x4f, 0x37, 0xb8, 0xf4, 0xd5, 0x38, 0x89, 0x71, 0xde, 0x5a, 0x3b, 0xcf, 0x4e, 0xcf, 0xad, 0x69, 0x50, 0xae, 0xaf, 0x6c, 0x0c, 0x9a, 0x43, 0x0c, 0x55, 0xc9, 0xa7, + 0x2d, 0xb4, 0xe4, 0x0e, 0xf3, 0xd2, 0xb7, 0xf7, 0x0a, 0xcf, 0xfc, 0xc2, 0x0d, 0x7b, 0x88, 0xb3, 0x47, 0xca, 0xf4, 0xe1, 0x5b, 0x86, 0x25, 0x23, 0x17, 0x77, 0x45, 0x9d, 0x90, 0xcd, 0x33, 0x9e, + 0xec, 0x0c, 0xa4, 0xcb, 0x37, 0xb2, 0x6e, 0x45, 0xa0, 0x36, 0xba, 0x31, 0x7f, 0x27, 0x98, 0x65, 0xe1, 0x26, 0x7d, 0x69, 0x8b, 0x94, 0x26, 0x07, 0x38, 0xa6, 0xb1, 0x5d, 0x27, 0xdc, 0x4a, 0x1b, + 0x60, 0xc8, 0xc6, 0x79, 0x32, 0x0e, 0x56, 0x96, 0xdf, 0x6b, 0x78, 0xbf, 0xcc, 0x04, 0x59, 0x41, 0xc9, 0x4d, 0x1c, 0xcd, 0xa5, 0xcb, 0xd1, 0x0d, 0x30, 0xa9, 0xc5, 0xab, 0xee, 0x22, 0x79, 0x94, + 0x05, 0x0e, 0x0f, 0x17, 0x29, 0x2c, 0x34, 0x41, 0x43, 0x46, 0x51, 0x53, 0x5a, 0x5e, 0x5f, 0x67, 0x6c, 0x7d, 0x8c, 0x93, 0x97, 0xbb, 0xbe, 0xc3, 0xd6, 0x04, 0x0e, 0x1e, 0x29, 0x31, 0x36, 0x51, + 0x89, 0x91, 0x92, 0xc7, 0xd0, 0xde, 0xea, 0x05, 0x17, 0x70, 0x72, 0x88, 0x8c, 0x93, 0xab, 0xc3, 0xc8, 0xce, 0xd0, 0xd1, 0xe2, 0xec, 0xf8, 0x32, 0x58, 0x63, 0x7a, 0x7d, 0x87, 0x8f, 0x92, 0x97, + 0x9d, 0xad, 0xb5, 0xbb, 0xc1, 0xc3, 0xce, 0xf1, 0xfc, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x19, 0x27, 0x37, 0x48, +}; +static const uint8_t ML_DSA_44_sigver_4_msg[] = { + 0x13, 0xad, 0xec, 0x8e, 0xb7, 0x90, 0x75, 0x57, 0x62, 0x1c, 0xd4, 0xad, 0x36, 0x12, 0x6c, 0xf3, 0xb8, 0xef, 0x81, 0x65, 0x08, 0x05, 0xb8, 0x80, 0x6b, 0xb7, 0x5a, 0xf3, 0x6f, 0x98, 0x32, 0x1c, + 0xe2, 0x1a, 0xb2, 0x9b, 0x84, 0x9f, 0x74, 0xff, 0x43, 0x08, 0x7b, 0xb4, 0x9d, 0xad, 0x9c, 0xb1, 0xaa, 0xc4, 0x6f, 0x57, 0x30, 0x0d, 0x3d, 0xc6, 0x48, 0x71, 0x2e, 0x2c, 0x90, 0xb9, 0x60, 0xdd, + 0xd0, 0x71, 0x5a, 0xd2, 0xc4, 0x17, 0xb7, 0x28, 0x47, 0xb1, 0x73, 0x46, 0xcc, 0x00, 0xf2, 0x99, 0xe4, 0xeb, 0xac, 0xcf, 0x76, 0x03, 0x8e, 0x3d, 0xec, 0x76, 0xb2, 0x3c, 0xc7, 0xbc, 0xb1, 0xb7, + 0x4e, 0x47, 0xb5, 0x8f, 0x46, 0x80, 0x9c, 0x57, 0x94, 0xe5, 0x5b, 0xbf, 0x4b, 0x2a, 0x3c, 0xfb, 0xae, 0xf6, 0xe8, 0x42, 0x70, 0xaf, 0x25, 0x85, 0x01, 0xa1, 0x52, 0x61, 0x6e, 0x4c, 0x0e, 0xa3, +}; +static const uint8_t ML_DSA_44_sigver_4_sig[] = { + 0x7c, 0xfb, 0xb2, 0xe1, 0x6d, 0x1d, 0x00, 0xb9, 0x6d, 0xdb, 0xf7, 0x64, 0x79, 0xf0, 0xea, 0x00, 0x8e, 0x85, 0x13, 0x90, 0x95, 0x8f, 0x22, 0x0c, 0xbd, 0x13, 0xcc, 0x2a, 0xf8, 0x49, 0x82, 0x58, + 0x4b, 0x99, 0xbd, 0xc9, 0xaf, 0x25, 0xc5, 0x96, 0xfd, 0xb3, 0x42, 0x66, 0xc6, 0xe9, 0x56, 0x62, 0xdb, 0x78, 0x17, 0x58, 0x0f, 0x51, 0x15, 0x6b, 0xf9, 0xbd, 0x0f, 0x1e, 0x30, 0xc3, 0x7d, 0xde, + 0x80, 0x56, 0xeb, 0x17, 0xd3, 0xa7, 0x06, 0xbe, 0x0f, 0x21, 0xc9, 0xc7, 0xdb, 0xff, 0xad, 0x74, 0x0c, 0x16, 0xc8, 0x30, 0x19, 0xe8, 0x58, 0x8a, 0x33, 0x39, 0x54, 0x8c, 0xcb, 0x7e, 0x47, 0x79, + 0x42, 0x90, 0x2a, 0xc5, 0xb3, 0xc1, 0xa0, 0x5e, 0x5d, 0xcd, 0xf5, 0x75, 0xa6, 0x20, 0x41, 0x91, 0x5c, 0xe5, 0x72, 0x70, 0xcb, 0xa4, 0xbe, 0x6c, 0xab, 0x1d, 0xf2, 0xbc, 0x02, 0x1e, 0xb2, 0x06, + 0x31, 0x7f, 0x8f, 0xcd, 0x29, 0x04, 0x62, 0xb4, 0xe6, 0xb4, 0xe0, 0x11, 0x8d, 0x39, 0x8a, 0x5a, 0x4c, 0xa8, 0xb9, 0x11, 0x37, 0xdb, 0x39, 0x49, 0x7d, 0xc6, 0xb4, 0xd9, 0xfd, 0x20, 0xf9, 0xba, + 0x9a, 0x3f, 0xe5, 0x9d, 0xcc, 0xb7, 0xbb, 0x23, 0xfe, 0x60, 0xc2, 0x3d, 0xc4, 0x8c, 0x57, 0x1e, 0x86, 0xfa, 0x02, 0x0d, 0xe7, 0xef, 0x32, 0xdd, 0x0c, 0xaf, 0xe4, 0x59, 0x25, 0xe1, 0x38, 0xe3, + 0xc9, 0xc6, 0x09, 0x0a, 0x39, 0x44, 0xf4, 0x32, 0x8d, 0x22, 0x08, 0x1d, 0x60, 0x78, 0xb9, 0x16, 0x3f, 0xe5, 0x2d, 0xe4, 0xc7, 0x5b, 0x6d, 0x62, 0x10, 0xdb, 0x4c, 0x0d, 0x8c, 0x1b, 0x46, 0x35, + 0x76, 0x04, 0xe7, 0x43, 0xda, 0x5c, 0x4f, 0x6f, 0x32, 0xc1, 0x31, 0xb9, 0x36, 0xd7, 0x09, 0x33, 0xdb, 0xe7, 0x48, 0xa5, 0xed, 0x74, 0x36, 0x2a, 0x09, 0x85, 0xc8, 0x4b, 0x48, 0xe4, 0xc9, 0x83, + 0xe3, 0x3e, 0xc8, 0xe2, 0xa3, 0xc4, 0xa4, 0x7f, 0xec, 0xaa, 0xe3, 0xbc, 0x24, 0x07, 0x70, 0x57, 0x90, 0x9f, 0x3b, 0x8f, 0xc9, 0xf4, 0x9b, 0x03, 0x46, 0xb8, 0x2b, 0xe8, 0x5c, 0x94, 0x1e, 0x97, + 0x09, 0x4f, 0x77, 0x11, 0xe1, 0xb4, 0xa4, 0xc3, 0x55, 0xfb, 0xe9, 0x17, 0x91, 0xea, 0x80, 0x9e, 0xdb, 0xa7, 0x7b, 0xf7, 0xc9, 0x0c, 0x13, 0xdf, 0x3b, 0x9a, 0xbf, 0x4f, 0xb8, 0x8a, 0x34, 0xd5, + 0x8b, 0x8a, 0x09, 0xb2, 0x6d, 0x39, 0xe2, 0x86, 0x5d, 0xf4, 0x80, 0xbb, 0x59, 0x2b, 0x34, 0xec, 0x8e, 0xa2, 0xef, 0x8e, 0x91, 0xc6, 0x5d, 0x0d, 0xe9, 0xb5, 0x3b, 0xd0, 0x58, 0xaf, 0xaa, 0xc7, + 0xce, 0x90, 0xcd, 0x64, 0xf5, 0x21, 0x8f, 0xbf, 0x6d, 0x96, 0x1d, 0x71, 0x69, 0xc8, 0x09, 0xc5, 0x17, 0x17, 0x20, 0xc5, 0x6b, 0xf8, 0x73, 0x7a, 0xfb, 0x22, 0xb4, 0x6a, 0x55, 0x2b, 0x30, 0xa4, + 0x63, 0x9b, 0x48, 0x78, 0x2c, 0xc5, 0xc4, 0xb4, 0xbc, 0x28, 0xdf, 0xb9, 0x76, 0x8d, 0x65, 0x90, 0x3b, 0x7b, 0xd1, 0x8d, 0x7d, 0x1a, 0x64, 0x8f, 0x69, 0xf1, 0xee, 0xb7, 0xf6, 0x04, 0x2f, 0xb1, + 0x48, 0xcb, 0xf3, 0x73, 0xbb, 0x53, 0x9f, 0xf1, 0xa9, 0x4f, 0x4c, 0x99, 0xe2, 0xa2, 0xf0, 0x60, 0xa9, 0x00, 0xea, 0x44, 0x74, 0x95, 0x42, 0x44, 0x74, 0x9b, 0x83, 0x73, 0xd4, 0xc7, 0x86, 0x16, + 0x62, 0x9d, 0x3a, 0xe9, 0xf4, 0x5c, 0xde, 0x61, 0xda, 0xcb, 0x8a, 0x45, 0xc1, 0x53, 0x08, 0x8f, 0xaa, 0xb5, 0x3e, 0xaa, 0x1a, 0x4c, 0xe4, 0x89, 0xaf, 0xf2, 0x29, 0xe1, 0xa8, 0xe9, 0xee, 0x1f, + 0x0b, 0xc7, 0x4b, 0xb0, 0xa4, 0xa9, 0xb0, 0x45, 0x2c, 0x2e, 0x15, 0x33, 0x46, 0xea, 0x3a, 0x4c, 0xbc, 0xca, 0xa7, 0x0a, 0xc0, 0x62, 0x70, 0xcb, 0xc6, 0xcd, 0xa8, 0x04, 0xa8, 0x70, 0x61, 0x12, + 0xcc, 0x8d, 0x42, 0xa7, 0xeb, 0x70, 0xcd, 0xf0, 0xcc, 0xf4, 0x37, 0x99, 0x37, 0xed, 0x95, 0x70, 0xed, 0x58, 0xf3, 0x83, 0x29, 0x80, 0x84, 0x45, 0xc6, 0x46, 0x40, 0xa1, 0x61, 0x42, 0x59, 0x0a, + 0x0d, 0xd9, 0x82, 0xee, 0xa7, 0x1d, 0xcb, 0x12, 0x2d, 0x1f, 0xcf, 0x94, 0x58, 0xf5, 0x8d, 0xea, 0x53, 0x9c, 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0x44, 0x6c, 0x77, 0x8b, 0xc7, 0xed, 0xfa, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x08, 0x13, 0x23, 0x2e, +}; +static const uint8_t ML_DSA_44_sigver_5_msg[] = { + 0x0b, 0x36, 0xae, 0x74, 0x90, 0x5a, 0x48, 0x8c, 0x25, 0xc9, 0xbf, 0x47, 0xb4, 0x14, 0x4e, 0x12, 0xe7, 0x5a, 0x8f, 0x54, 0x55, 0x5e, 0x19, 0x43, 0xe3, 0xcf, 0x73, 0x8b, 0xbf, 0x0b, 0x9c, 0x4a, + 0xcc, 0x27, 0x0a, 0x71, 0x80, 0x4b, 0x0d, 0x8f, 0xee, 0xeb, 0x04, 0x51, 0xab, 0x50, 0x40, 0x27, 0xc8, 0x53, 0x12, 0x5b, 0xec, 0x7e, 0x72, 0x16, 0xa8, 0x2e, 0xc0, 0x9e, 0xea, 0x37, 0x78, 0x29, + 0x1a, 0x6b, 0x97, 0xf5, 0x3b, 0x17, 0x66, 0xfa, 0xb6, 0x7c, 0xd3, 0xc8, 0x75, 0xc1, 0x71, 0xa3, 0x6d, 0x5d, 0xc2, 0x38, 0x35, 0xb7, 0xb5, 0x64, 0x1c, 0x46, 0x89, 0xe6, 0x46, 0xc4, 0x0c, 0xc2, + 0xb3, 0x79, 0x13, 0x1d, 0xf4, 0xae, 0x84, 0x8b, 0x8c, 0x47, 0x13, 0xa1, 0xe3, 0x8f, 0x5c, 0x31, 0x14, 0x06, 0x62, 0xf6, 0xf9, 0x2b, 0xa2, 0x2e, 0x88, 0x8c, 0xa3, 0xc0, 0xa2, 0xf2, 0x42, 0xc9, +}; +static const uint8_t ML_DSA_44_sigver_5_sig[] = { + 0x27, 0x98, 0x60, 0xc9, 0x4c, 0x55, 0x1a, 0x0a, 0x07, 0x88, 0x09, 0x9a, 0xb3, 0x9f, 0x1f, 0x25, 0xbe, 0xe8, 0xcc, 0x46, 0x22, 0xd2, 0x0d, 0xa0, 0x37, 0x00, 0x5b, 0x8d, 0x6b, 0x5b, 0x73, 0x71, + 0xb1, 0x1b, 0xad, 0xfc, 0x23, 0x6c, 0x9b, 0x00, 0x28, 0x86, 0x8d, 0xfe, 0x74, 0xa9, 0xae, 0x59, 0x64, 0x2c, 0xdf, 0xb8, 0xd3, 0x8b, 0xa5, 0xa7, 0x9c, 0xd5, 0x22, 0x78, 0xe5, 0x54, 0xc2, 0x5b, + 0x07, 0xa0, 0x7c, 0x77, 0xc1, 0x42, 0x0f, 0x8f, 0x0c, 0xc0, 0x8a, 0x03, 0x5c, 0x99, 0xbc, 0x4f, 0x0c, 0x30, 0x3f, 0x20, 0xca, 0x1b, 0xfc, 0x0e, 0x46, 0xe9, 0xfc, 0x6f, 0x37, 0xff, 0x1b, 0xa5, + 0xe5, 0x65, 0x36, 0x56, 0xb7, 0xfb, 0x48, 0x8c, 0x3b, 0x60, 0x0e, 0x0b, 0xef, 0x9f, 0x4a, 0x55, 0x3a, 0x3d, 0x2f, 0xe5, 0xf0, 0xd2, 0xb7, 0x6e, 0xbc, 0x90, 0xc5, 0xa2, 0xa9, 0x9b, 0x78, 0x9b, + 0x55, 0x31, 0x6a, 0xbb, 0xbc, 0xee, 0xd0, 0xec, 0x70, 0x32, 0x5c, 0xe2, 0xe8, 0x98, 0x90, 0xfb, 0x2a, 0x19, 0xe3, 0x0e, 0x79, 0xc4, 0xe8, 0xe6, 0x19, 0x10, 0x1f, 0xc2, 0x42, 0x8d, 0x95, 0x79, + 0x73, 0x7d, 0xcb, 0x3f, 0xd7, 0x69, 0x47, 0xfa, 0x7b, 0xf2, 0x57, 0xfa, 0xf2, 0xfc, 0xc3, 0x60, 0x05, 0x1f, 0x55, 0x91, 0x2f, 0x05, 0x1d, 0xb2, 0x4c, 0x51, 0x61, 0x94, 0x39, 0x36, 0x9f, 0x13, + 0xf3, 0x4d, 0x66, 0x9d, 0xcd, 0x56, 0x38, 0xd3, 0x56, 0x51, 0x01, 0xa7, 0xa4, 0xd3, 0x79, 0x10, 0x5e, 0xa6, 0xd8, 0x31, 0x63, 0xd0, 0x46, 0xde, 0x3a, 0x6f, 0x9d, 0x90, 0x36, 0xcc, 0xc3, 0x47, + 0xdd, 0xf8, 0xb3, 0x63, 0xe8, 0x73, 0xd9, 0x59, 0xc3, 0x3d, 0x1b, 0x56, 0x77, 0x59, 0x14, 0xab, 0xd5, 0x0e, 0xb6, 0xfd, 0x2d, 0x09, 0x6e, 0x66, 0x9f, 0x11, 0xc2, 0x88, 0x78, 0x16, 0x81, 0xd6, + 0x93, 0xa3, 0xa5, 0x21, 0x88, 0xe8, 0x0d, 0x0d, 0x33, 0x78, 0x4d, 0x2f, 0x5f, 0xa1, 0x95, 0x4d, 0x72, 0xc3, 0x5d, 0x89, 0x29, 0xa2, 0x22, 0x35, 0x77, 0xf8, 0x11, 0x9c, 0xf2, 0x41, 0x31, 0x7d, + 0x0e, 0x95, 0xc6, 0x15, 0x64, 0x1f, 0x40, 0xee, 0xa3, 0x36, 0x8b, 0xda, 0x76, 0x19, 0xee, 0xe8, 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0xc6, 0x3f, 0x2d, 0x07, 0xc5, 0x57, 0xc7, 0xaf, 0xdb, 0xa3, 0x51, 0x32, 0x98, 0x99, 0xce, 0x6d, 0x96, 0xdf, 0xd3, 0x44, 0x27, 0x25, + 0xbb, 0x1f, 0x24, 0xec, 0x43, 0xea, 0x41, 0xb4, 0xde, 0x9e, 0x4e, 0x39, 0xd1, 0x7a, 0x6f, 0x26, 0x38, 0x41, 0x68, 0xdb, 0x92, 0xbf, 0x95, 0x16, 0xd7, 0xdd, 0x81, 0x01, 0xb9, 0x70, 0xb8, 0x3f, + 0x2a, 0x2f, 0x32, 0x3b, 0x41, 0x83, 0x85, 0xc3, 0xd2, 0x04, 0x10, 0x12, 0x2d, 0x41, 0x4a, 0x58, 0x69, 0x70, 0x73, 0x7b, 0xb0, 0xb1, 0xba, 0xc6, 0xda, 0x0b, 0x18, 0x32, 0x44, 0x49, 0x4f, 0x73, + 0x75, 0x79, 0x9a, 0xb0, 0xbd, 0xc5, 0xd1, 0xe2, 0xec, 0xf3, 0xf4, 0x01, 0x0c, 0x0e, 0x0f, 0x35, 0x37, 0x43, 0x4e, 0x53, 0x66, 0xc6, 0xcc, 0xd7, 0xf1, 0xf2, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x09, 0x19, 0x2b, 0x3a, +}; +static const uint8_t ML_DSA_44_sigver_6_msg[] = { + 0x22, 0x40, 0x31, 0xee, 0xf8, 0xf5, 0xe3, 0x1d, 0xb2, 0x5b, 0x2d, 0x2f, 0xe2, 0x31, 0x2a, 0x8f, 0x16, 0x9d, 0x8f, 0x17, 0xda, 0x7d, 0x6a, 0x0a, 0xfc, 0x7d, 0xbf, 0xc2, 0x16, 0x43, 0x44, 0xfe, + 0xa8, 0x2b, 0xfc, 0x8d, 0x20, 0x96, 0x7d, 0x96, 0xdd, 0x80, 0xb5, 0xbe, 0xa1, 0x09, 0x3e, 0xf3, 0xd3, 0x2d, 0xce, 0xa6, 0x54, 0xdd, 0x78, 0x1e, 0xcd, 0x51, 0x85, 0x75, 0x8c, 0xc1, 0x9e, 0x68, + 0x19, 0xcf, 0x38, 0x21, 0x24, 0xfe, 0xbd, 0xe4, 0x43, 0xe3, 0xf4, 0x52, 0x9c, 0x37, 0x5b, 0x82, 0xf3, 0x4c, 0x83, 0xb4, 0xac, 0x5d, 0xcd, 0xe0, 0x4c, 0x20, 0x8c, 0xdd, 0x7b, 0xc1, 0x7a, 0xd2, + 0xd3, 0x52, 0xf6, 0xfd, 0x8b, 0x32, 0x3f, 0x57, 0xe2, 0x7a, 0x04, 0x22, 0xbe, 0xc5, 0x3f, 0x5a, 0x2e, 0x00, 0x36, 0x07, 0x93, 0x72, 0xba, 0x0f, 0xcd, 0xc4, 0x53, 0x64, 0x56, 0x9f, 0x5e, 0x48, +}; +static const uint8_t ML_DSA_44_sigver_6_sig[] = { + 0x2c, 0xa3, 0x36, 0xfc, 0xc1, 0x1b, 0xb4, 0xd9, 0xa3, 0xf6, 0xdd, 0xa5, 0xa8, 0xb1, 0xa0, 0x3f, 0x39, 0xe2, 0xc6, 0xfc, 0x5a, 0xd4, 0x5f, 0x29, 0x4d, 0xce, 0xfd, 0x35, 0xec, 0x61, 0x46, 0x4a, + 0x7a, 0xfa, 0x41, 0xbd, 0x25, 0x8f, 0x57, 0x40, 0xd9, 0x24, 0xe7, 0xc7, 0x96, 0x1c, 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0xb7, 0x01, 0x58, 0x6a, 0x39, 0x6a, 0x69, 0xa9, 0x33, 0x5b, 0xe8, 0xa1, 0x4c, 0x9c, 0x01, 0x0e, 0x11, 0x96, 0x9a, + 0xa2, 0xba, 0x26, 0xa6, 0x47, 0x39, 0xf7, 0x01, 0x5b, 0x28, 0x80, 0x29, 0x46, 0x6e, 0x74, 0x79, 0xf8, 0x7c, 0x93, 0x8c, 0x40, 0xb4, 0x6e, 0x45, 0x6d, 0x62, 0x42, 0xc1, 0x07, 0x48, 0x8e, 0x2b, + 0x27, 0x28, 0x46, 0x51, 0x34, 0x28, 0x89, 0x96, 0x19, 0xda, 0xed, 0x1f, 0x5f, 0x08, 0x48, 0x79, 0x76, 0x3d, 0x33, 0x0f, 0xd8, 0xe7, 0xa2, 0x78, 0x0d, 0xc5, 0x7a, 0xbf, 0x27, 0xeb, 0x91, 0xcc, + 0xc2, 0xf9, 0xd7, 0x04, 0x54, 0x5d, 0xae, 0x71, 0x9a, 0xf6, 0x11, 0xd0, 0x6e, 0x45, 0xf5, 0xce, 0x1d, 0x6d, 0x3e, 0xfb, 0x69, 0x5b, 0x5f, 0x6f, 0x8e, 0x7c, 0xcd, 0xd3, 0x94, 0xed, 0xce, 0xc2, + 0x20, 0x51, 0xaa, 0xdd, 0x5c, 0x06, 0x9a, 0xdb, 0xb4, 0x2d, 0xca, 0x52, 0x06, 0xd5, 0x0a, 0x95, 0xc7, 0x7a, 0xe2, 0xda, 0xf1, 0x41, 0xec, 0x8b, 0x66, 0xac, 0xd8, 0x16, 0x13, 0x36, 0xb6, 0xa1, + 0x19, 0x26, 0x2a, 0x2f, 0x54, 0x5d, 0x62, 0x69, 0xab, 0xbe, 0xbf, 0xc2, 0xc3, 0xcd, 0xe6, 0xf6, 0x12, 0x18, 0x2a, 0x2c, 0x2e, 0x40, 0x4e, 0x52, 0x58, 0x64, 0x6d, 0x74, 0x75, 0x7b, 0x8d, 0x92, + 0xa2, 0xc0, 0xc6, 0xcc, 0xcd, 0xce, 0xd4, 0xe4, 0xe7, 0xed, 0xfd, 0x07, 0x1b, 0x20, 0x22, 0x2f, 0x34, 0x3d, 0x54, 0x80, 0x92, 0xc6, 0xf5, 0x05, 0x30, 0x5e, 0x66, 0x68, 0x72, 0x76, 0x7c, 0x7e, + 0x80, 0x82, 0x89, 0xab, 0xbc, 0xc7, 0xdf, 0xe3, 0xe4, 0xe9, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, 0x2b, 0x37, 0x4a, +}; +static const uint8_t ML_DSA_44_sigver_7_msg[] = { + 0x84, 0x08, 0x02, 0x4f, 0x21, 0xf9, 0xbd, 0xa5, 0xde, 0xc8, 0xf6, 0x51, 0xa4, 0xfd, 0xfb, 0x30, 0xc7, 0xc4, 0x27, 0xb3, 0xc4, 0x1a, 0xba, 0xdc, 0x17, 0xae, 0xd2, 0x38, 0x18, 0xbe, 0x04, 0xed, + 0x6a, 0xee, 0x3b, 0x9b, 0x0d, 0xef, 0x2c, 0x5b, 0x7c, 0xf5, 0x9a, 0xb4, 0x67, 0x8d, 0x1a, 0xee, 0x0d, 0xf7, 0xdd, 0x53, 0x7f, 0x75, 0x70, 0xc0, 0xa4, 0x10, 0x3f, 0x4e, 0x55, 0x3a, 0x9b, 0x79, + 0x7d, 0x5d, 0xdf, 0xbf, 0xec, 0x09, 0x28, 0xa5, 0x18, 0xa6, 0x28, 0x34, 0xdb, 0x5e, 0xed, 0x56, 0xfc, 0x28, 0x72, 0xb3, 0x38, 0x82, 0x4b, 0x4a, 0xad, 0x28, 0xa5, 0x35, 0x94, 0x45, 0x02, 0xa5, + 0x29, 0x76, 0x13, 0x54, 0xe4, 0x16, 0x17, 0x80, 0xab, 0x15, 0xd6, 0xca, 0xbf, 0x1d, 0xe8, 0x49, 0x45, 0xd4, 0x93, 0x57, 0xdf, 0xc5, 0xef, 0x91, 0xb2, 0xc4, 0xd5, 0x03, 0x89, 0xd3, 0xba, 0xef, +}; +static const uint8_t ML_DSA_44_sigver_7_sig[] = { + 0x3a, 0x7d, 0xd5, 0xb0, 0x2c, 0x1c, 0xf9, 0x24, 0x84, 0xc2, 0x44, 0x79, 0x66, 0x53, 0xff, 0xac, 0x9f, 0x08, 0x4f, 0x2f, 0x04, 0xae, 0xc5, 0x6e, 0x36, 0x2b, 0x98, 0x67, 0x41, 0x8f, 0xf3, 0x43, + 0x5b, 0x32, 0x16, 0x97, 0xd5, 0x09, 0x40, 0x79, 0x4f, 0xde, 0x22, 0x8b, 0x4f, 0xef, 0x54, 0x92, 0xec, 0xcd, 0xf5, 0x99, 0x54, 0x15, 0x7e, 0x3b, 0x22, 0x88, 0xea, 0x9e, 0x88, 0x0f, 0x16, 0xd9, + 0xb1, 0xea, 0x67, 0xd5, 0x0d, 0x25, 0x97, 0x6e, 0x5f, 0x32, 0xd1, 0x4c, 0x2c, 0xca, 0xe6, 0x8e, 0x38, 0x8f, 0xe6, 0xaa, 0xf6, 0xb3, 0x49, 0xa3, 0x79, 0xbd, 0xcf, 0x90, 0xfc, 0x3e, 0x6a, 0x2d, + 0xfa, 0xdc, 0xd4, 0xd5, 0x70, 0x7d, 0x0e, 0xa4, 0xe9, 0xb4, 0x95, 0x6e, 0x05, 0x14, 0x07, 0xf5, 0x21, 0x12, 0xc4, 0xfa, 0x0b, 0xa8, 0xf1, 0x1e, 0x78, 0x75, 0x03, 0x26, 0x82, 0x28, 0xcd, 0x2e, + 0x28, 0x9e, 0x18, 0xf7, 0x04, 0x23, 0x76, 0x14, 0xb2, 0xd4, 0x4c, 0x13, 0x08, 0x7f, 0xe4, 0x6e, 0x02, 0xe5, 0xeb, 0x89, 0x10, 0x85, 0x65, 0x07, 0x4f, 0xb6, 0xbf, 0x14, 0x23, 0xf6, 0x9e, 0xca, + 0x48, 0xd0, 0x51, 0xec, 0xa8, 0x3d, 0x14, 0x84, 0x1b, 0x8a, 0xec, 0x3c, 0x05, 0xf7, 0x22, 0xe3, 0x8a, 0x62, 0x06, 0xb7, 0x9e, 0x39, 0xff, 0xda, 0x60, 0x33, 0xe3, 0x6e, 0x6a, 0x79, 0x4a, 0xbc, + 0x84, 0x50, 0x8d, 0x44, 0x9b, 0x64, 0xb8, 0x47, 0xfe, 0xb5, 0xd2, 0x0c, 0xf5, 0x6f, 0xf1, 0xe2, 0x46, 0x84, 0x12, 0xbe, 0xa8, 0x10, 0x6d, 0x66, 0xe4, 0x17, 0xee, 0x48, 0xd1, 0xdb, 0xd3, 0xcf, + 0xb1, 0x67, 0xba, 0xe1, 0x4e, 0x59, 0x30, 0x48, 0xcd, 0x1b, 0x73, 0xa5, 0xb0, 0x39, 0x9c, 0x1a, 0x73, 0x92, 0xc9, 0xa8, 0x2b, 0x4d, 0x4b, 0xb6, 0x2b, 0x49, 0x15, 0xfc, 0x75, 0xde, 0xc7, 0x5f, + 0x39, 0xc0, 0x29, 0xf3, 0x1d, 0x37, 0x9a, 0xdb, 0xb8, 0x72, 0x31, 0x2d, 0xcc, 0xdc, 0xb9, 0x1d, 0x17, 0xe2, 0x52, 0x0c, 0xe4, 0xba, 0x8f, 0x41, 0xf8, 0xcd, 0x3d, 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0x9d, 0xbe, 0xd8, 0x47, 0x4c, 0xd2, 0xb6, 0x9b, 0xa0, 0x41, 0x22, 0xfb, 0x73, 0x46, 0x9e, 0x66, + 0x61, 0x3e, 0x36, 0xb6, 0xc7, 0x95, 0x35, 0x26, 0xd9, 0x7b, 0x92, 0x24, 0x64, 0x14, 0x02, 0x3a, 0x93, 0xbd, 0xa4, 0x99, 0x79, 0xf7, 0x56, 0x13, 0xb8, 0x9c, 0x47, 0xb0, 0xbb, 0x4a, 0x2c, 0x3a, + 0xd6, 0x56, 0x88, 0x85, 0x71, 0x59, 0x29, 0x5d, 0xf9, 0x2c, 0x32, 0xcc, 0xa2, 0x48, 0x9b, 0xc0, 0x25, 0x1c, 0xc3, 0xdf, 0x0d, 0x42, 0xba, 0x77, 0x71, 0x37, 0xa5, 0xe4, 0xbe, 0xf8, 0x45, 0xc8, + 0x2b, 0x65, 0xa9, 0xfb, 0x8a, 0xce, 0x89, 0xac, 0x10, 0x05, 0xa0, 0x05, 0x81, 0x01, 0x0b, 0x2b, 0xd4, 0x46, 0xa9, 0x65, 0xbd, 0xf8, 0x1e, 0xc2, 0x16, 0xba, 0xa6, 0xc5, 0xa6, 0xad, 0x4c, 0xbe, + 0xa1, 0x8e, 0x25, 0x05, 0xd7, 0x50, 0xcf, 0x67, 0xb9, 0x7e, 0xc9, 0xb9, 0x7a, 0x70, 0x08, 0xbb, 0x77, 0x0f, 0x90, 0xbe, 0xf9, 0xec, 0x3f, 0xdb, 0xe2, 0xd0, 0xbd, 0x0c, 0xc4, 0x3e, 0x04, 0x6d, + 0x56, 0xc2, 0x88, 0x4e, 0xaf, 0xb9, 0x21, 0x37, 0x52, 0x1a, 0xa1, 0xc3, 0x65, 0x5a, 0xf5, 0x62, 0x8a, 0xcc, 0xcf, 0xa1, 0x50, 0xab, 0x51, 0x75, 0x38, 0xf8, 0xf2, 0x93, 0x94, 0x17, 0x83, 0x35, + 0x40, 0x02, 0xf2, 0x43, 0xf8, 0xe7, 0xf1, 0xbd, 0xb1, 0x9b, 0x8d, 0xd8, 0x1f, 0xc7, 0xeb, 0x52, 0x71, 0xc3, 0x45, 0x3f, 0x8f, 0xd9, 0xf9, 0x33, 0x55, 0xcb, 0xa5, 0x38, 0x97, 0xfd, 0x62, 0x82, + 0xcb, 0xc8, 0x07, 0x21, 0x88, 0xa1, 0x8a, 0xa6, 0xa7, 0x7e, 0x24, 0xff, 0xa3, 0x99, 0x8b, 0xe5, 0x11, 0xac, 0x77, 0x28, 0xff, 0x05, 0x19, 0x1e, 0xf8, 0x7d, 0xe7, 0x8b, 0xde, 0x35, 0xa9, 0x66, + 0x1c, 0x4b, 0x51, 0x53, 0x7c, 0x86, 0x89, 0x90, 0x93, 0x98, 0xa2, 0xa4, 0xc1, 0xce, 0xe9, 0x04, 0x14, 0x46, 0x50, 0x5c, 0x68, 0x85, 0x89, 0x94, 0x99, 0xe1, 0xf8, 0x01, 0x10, 0x16, 0x26, 0x33, + 0x41, 0x50, 0x52, 0x5b, 0x7d, 0x8e, 0xa2, 0xaf, 0xe0, 0xe5, 0xe7, 0x00, 0x04, 0x0d, 0x18, 0x1c, 0x21, 0x25, 0x2b, 0x35, 0x36, 0x38, 0x45, 0x4b, 0x51, 0x52, 0x56, 0x5e, 0x63, 0x66, 0x69, 0x6a, + 0x9c, 0xd1, 0xd4, 0xd5, 0xfe, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0f, 0x1b, 0x2b, 0x45, +}; +static const uint8_t ML_DSA_44_sigver_8_msg[] = { + 0x42, 0x2d, 0xd7, 0x9f, 0x96, 0x67, 0x1e, 0x4d, 0xb6, 0xa4, 0x98, 0xaf, 0xcd, 0x51, 0xf8, 0xd1, 0x30, 0x17, 0x39, 0x1e, 0x0b, 0xcc, 0x3d, 0xa9, 0x60, 0x14, 0x2c, 0xec, 0xc7, 0x64, 0x9c, 0x3a, + 0x72, 0x91, 0x12, 0xfe, 0x4d, 0x9d, 0x5e, 0x14, 0xee, 0x1d, 0x26, 0x60, 0xc0, 0x47, 0x70, 0xf3, 0x02, 0xf0, 0xcc, 0xb7, 0x02, 0xa6, 0x1d, 0x54, 0x2b, 0x25, 0x3d, 0xf5, 0x7c, 0x0d, 0x6a, 0xdc, + 0x05, 0x58, 0xf6, 0x3d, 0x45, 0xfa, 0xc2, 0xfc, 0xcf, 0x3c, 0xc4, 0x28, 0x20, 0x68, 0xce, 0x9d, 0x0a, 0xa9, 0xf9, 0x32, 0x40, 0xa2, 0x93, 0x68, 0xcf, 0x57, 0xf8, 0x0f, 0x9a, 0x2e, 0x51, 0xb2, + 0x46, 0x47, 0xc9, 0x8f, 0xe4, 0x7a, 0x9d, 0xfb, 0x22, 0x0d, 0x5a, 0x95, 0x0f, 0xed, 0xac, 0x23, 0x35, 0xd7, 0x23, 0xcd, 0xc0, 0xb1, 0x23, 0xce, 0xe7, 0xdb, 0xb8, 0xe2, 0xf5, 0xe4, 0x0a, 0x29, +}; +static const uint8_t ML_DSA_44_sigver_8_sig[] = { + 0x8a, 0x93, 0xa4, 0x9d, 0xe7, 0xd0, 0x08, 0x22, 0x74, 0x7b, 0xef, 0x9a, 0x59, 0xff, 0x02, 0xe2, 0x94, 0x07, 0x53, 0xa7, 0xaf, 0x6f, 0x6d, 0xbc, 0x20, 0xec, 0x14, 0xf6, 0x85, 0x88, 0x2e, 0xd2, + 0x50, 0x61, 0x53, 0x3d, 0xaa, 0x20, 0x97, 0x76, 0xf6, 0x17, 0x43, 0x41, 0xa9, 0xc5, 0xb8, 0x3b, 0xab, 0xda, 0x55, 0xe6, 0xfa, 0x09, 0x4d, 0xda, 0x60, 0x6d, 0xbc, 0x79, 0x15, 0xe5, 0xe5, 0xa6, + 0x31, 0x6d, 0x50, 0x91, 0x17, 0x86, 0x73, 0x81, 0xf4, 0xf6, 0x9b, 0x22, 0x58, 0xec, 0xc8, 0xc5, 0x56, 0x49, 0x56, 0xab, 0xa4, 0xbe, 0x7c, 0x80, 0xc0, 0x91, 0x9c, 0x2f, 0x03, 0x19, 0x61, 0x37, + 0x90, 0xbf, 0xc5, 0x4a, 0xa2, 0xe2, 0x88, 0xab, 0x38, 0x07, 0x5a, 0xb5, 0x23, 0x7b, 0x5a, 0x02, 0x2b, 0xc8, 0xd7, 0xf1, 0x18, 0x8f, 0x60, 0x5d, 0xcd, 0xac, 0xde, 0x31, 0x8d, 0x4e, 0x2d, 0x1d, + 0x1a, 0x24, 0xa3, 0x26, 0xf6, 0xe4, 0x19, 0x41, 0xe9, 0x10, 0x5d, 0xc9, 0x34, 0xe6, 0xcb, 0x1b, 0xc8, 0x1a, 0x6e, 0xd0, 0xda, 0xea, 0xdf, 0x8d, 0xb7, 0xe2, 0x1d, 0x61, 0x14, 0x8d, 0x5e, 0x46, + 0xed, 0x7e, 0x74, 0x49, 0xaa, 0x04, 0xb0, 0x79, 0x36, 0xe7, 0xb9, 0x0d, 0xfd, 0x4b, 0x87, 0x5d, 0x32, 0x65, 0xb9, 0xeb, 0x5a, 0x37, 0x0f, 0x9c, 0xff, 0xfe, 0x2c, 0xcc, 0x0c, 0x74, 0xe6, 0x91, + 0xf5, 0xa1, 0xf6, 0x73, 0x32, 0x0e, 0x99, 0x4c, 0xc3, 0xc2, 0xff, 0xc8, 0xa1, 0xa3, 0x84, 0xfe, 0x4c, 0x92, 0xd4, 0x3d, 0x67, 0xb3, 0x17, 0x4a, 0x23, 0x57, 0xe8, 0xe5, 0xd6, 0x88, 0x45, 0x6b, + 0x36, 0x66, 0x20, 0xdc, 0xf0, 0x2b, 0xe7, 0x89, 0x70, 0x12, 0xdd, 0xa1, 0xf9, 0x68, 0x36, 0x58, 0xac, 0x61, 0xab, 0x34, 0xb6, 0xcb, 0x5b, 0x23, 0x89, 0x1d, 0x44, 0x21, 0xad, 0xed, 0x56, 0x37, + 0x34, 0x28, 0x0a, 0x7f, 0xb4, 0x2b, 0xf1, 0xe5, 0x69, 0x62, 0x88, 0x9d, 0xa2, 0xe7, 0xbd, 0x2f, 0x08, 0x9e, 0x7d, 0x95, 0xbc, 0x36, 0x5f, 0xd5, 0xa1, 0x8e, 0xbd, 0x80, 0x2d, 0x77, 0x22, 0xaf, + 0xc6, 0x93, 0x2c, 0x4b, 0x01, 0xc8, 0x81, 0xe3, 0x07, 0x66, 0x53, 0x9b, 0x20, 0xa1, 0x48, 0x01, 0xee, 0x45, 0x03, 0x37, 0x0b, 0x84, 0x85, 0xf7, 0xed, 0x0e, 0xb0, 0x2e, 0x26, 0x21, 0xd2, 0xe8, + 0xd9, 0x98, 0xc4, 0xb5, 0x6e, 0xd5, 0xa9, 0xdf, 0x0f, 0x1c, 0x7a, 0xc2, 0x9e, 0xd5, 0x09, 0xe1, 0xa1, 0x20, 0x8c, 0x4a, 0x17, 0x3c, 0xd0, 0xab, 0xfe, 0xea, 0x1b, 0xd5, 0x42, 0x46, 0x8e, 0xa1, + 0x3c, 0x01, 0xb7, 0xa9, 0x5c, 0x44, 0xb2, 0x69, 0xd4, 0x0f, 0x3b, 0xd0, 0xe6, 0xf8, 0xc1, 0x17, 0x5f, 0xf2, 0x8a, 0x8d, 0x43, 0xf2, 0xbc, 0x27, 0xe4, 0xa6, 0x8c, 0x3d, 0x6f, 0x98, 0x0c, 0x64, + 0x55, 0xe1, 0xc3, 0xf4, 0x83, 0x58, 0x74, 0xef, 0xeb, 0x2e, 0x6e, 0xaf, 0xb0, 0xa9, 0xaf, 0xa0, 0xe3, 0x55, 0x76, 0xb2, 0x12, 0xe9, 0x8e, 0xd6, 0x7e, 0x04, 0xcf, 0x40, 0x57, 0x53, 0x1b, 0xa4, + 0xf7, 0x8a, 0x96, 0xd5, 0x07, 0xb8, 0x45, 0x35, 0xfc, 0xc8, 0x93, 0x09, 0x5d, 0x28, 0xc8, 0x7e, 0xe0, 0x70, 0xf6, 0xc3, 0x72, 0x4b, 0xa9, 0xcd, 0x4f, 0x79, 0xe4, 0x64, 0x24, 0x5a, 0x09, 0xef, + 0x73, 0xf0, 0xdb, 0x69, 0xed, 0x23, 0xb7, 0x3c, 0x69, 0x05, 0x96, 0xe1, 0x57, 0xc3, 0x94, 0xc7, 0x5c, 0x12, 0x0d, 0x26, 0xb9, 0x4a, 0xab, 0xd9, 0x1a, 0x9a, 0x69, 0x7b, 0x41, 0x59, 0xd8, 0x26, + 0x87, 0x8e, 0x6b, 0xc8, 0xed, 0x65, 0x1e, 0xfc, 0xbe, 0x49, 0x14, 0xb5, 0x5e, 0x9f, 0x65, 0x85, 0x9c, 0x12, 0x3c, 0xf2, 0xbd, 0x07, 0x54, 0x50, 0x9c, 0x06, 0x2f, 0xa9, 0xb9, 0xba, 0x05, 0x88, + 0xb7, 0x1a, 0x9f, 0xf3, 0x87, 0x69, 0x19, 0xc0, 0x7d, 0x2c, 0xe5, 0xf5, 0x40, 0x3e, 0x40, 0xb2, 0x8f, 0xa5, 0x1b, 0xb3, 0x09, 0xf4, 0x53, 0x73, 0xd0, 0x71, 0x6d, 0xef, 0x20, 0x0f, 0x87, 0x5c, + 0xf1, 0x60, 0x9d, 0xc7, 0x4a, 0xc3, 0xf6, 0xc1, 0x3e, 0x5c, 0x7c, 0x2c, 0x9a, 0x47, 0xfe, 0xed, 0x5a, 0xfa, 0x50, 0xe8, 0xfb, 0x21, 0x50, 0x4b, 0xa7, 0xf3, 0x57, 0x58, 0xb0, 0x5f, 0xc3, 0x51, + 0xf5, 0x60, 0x42, 0x98, 0x50, 0x9f, 0xf1, 0xd4, 0x46, 0x13, 0x74, 0x14, 0x34, 0xa2, 0x9d, 0x37, 0xde, 0x8e, 0xd7, 0x30, 0x3e, 0x0b, 0xfe, 0xbc, 0x01, 0x4b, 0x35, 0xe6, 0x10, 0xeb, 0x73, 0x51, + 0x4a, 0xe5, 0x4c, 0xe9, 0x30, 0xe1, 0x3e, 0xa5, 0x66, 0x72, 0x14, 0x69, 0xd6, 0x87, 0x83, 0x72, 0x79, 0x1b, 0xcd, 0x22, 0xaa, 0xf3, 0x76, 0xef, 0xb7, 0x3f, 0xbf, 0x0a, 0xd2, 0xd9, 0x21, 0x32, + 0x77, 0x67, 0x8e, 0xf1, 0x8b, 0x0f, 0xf2, 0xc2, 0xf2, 0x80, 0xa1, 0x40, 0xeb, 0xfd, 0x09, 0x09, 0x62, 0x8b, 0xcc, 0x6e, 0x10, 0x77, 0x21, 0x00, 0x22, 0x40, 0x4e, 0x21, 0x62, 0x24, 0x12, 0x4f, + 0x2a, 0x67, 0x2b, 0x9a, 0x07, 0x9f, 0x42, 0xd9, 0x33, 0xb7, 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0x3b, 0x93, 0x63, 0x5b, 0x26, 0x55, 0x41, 0x83, 0x5d, 0xd1, + 0xbf, 0x20, 0xa3, 0xd9, 0x4d, 0x32, 0xf2, 0x4e, 0x61, 0x83, 0x91, 0xfc, 0xe0, 0x2b, 0x98, 0xda, 0x28, 0xdc, 0x40, 0x81, 0xaa, 0xf4, 0x08, 0xa6, 0xc7, 0xad, 0x41, 0xc2, 0x49, 0xf2, 0xfd, 0x78, + 0x3a, 0x98, 0x29, 0xea, 0x08, 0x08, 0xeb, 0xf0, 0xd4, 0x33, 0x88, 0x49, 0x07, 0x9a, 0x88, 0x23, 0x6e, 0xb1, 0x8f, 0x02, 0x50, 0x13, 0x55, 0x00, 0x6b, 0xf1, 0xda, 0xc2, 0xf1, 0xdd, 0x1a, 0xa9, + 0xab, 0x95, 0x31, 0x88, 0x0d, 0xfa, 0x90, 0x81, 0x1e, 0xee, 0x2e, 0x96, 0x79, 0x25, 0x90, 0xf4, 0x7f, 0x18, 0x42, 0xc6, 0xab, 0xcd, 0x16, 0xa8, 0xf5, 0xb8, 0x42, 0x9e, 0x2a, 0xe9, 0xa6, 0xe5, + 0x6d, 0x9d, 0x50, 0xc7, 0x2a, 0xfa, 0x9d, 0x03, 0x29, 0xb7, 0x7c, 0x82, 0x30, 0xe0, 0xab, 0xd7, 0x56, 0xcf, 0xb2, 0xce, 0xab, 0x0a, 0x21, 0xe5, 0x9d, 0xd9, 0x25, 0x07, 0x86, 0xab, 0xea, 0x3a, + 0xcf, 0xdd, 0x43, 0xe1, 0x8b, 0xcb, 0xe6, 0x71, 0xa9, 0x9f, 0x23, 0xe8, 0x5f, 0xcb, 0xe2, 0x14, 0x4a, 0x75, 0x59, 0xf8, 0x8c, 0x81, 0x72, 0x3b, 0xe1, 0x2f, 0xa5, 0xcf, 0x2f, 0x8d, 0xf1, 0x33, + 0x00, 0x07, 0x0e, 0x1b, 0x28, 0x44, 0x4f, 0x56, 0x6b, 0x6e, 0x96, 0xa2, 0xa6, 0xaa, 0xac, 0xbe, 0xc5, 0xca, 0xcf, 0xec, 0x07, 0x22, 0x50, 0x7f, 0x84, 0x94, 0xa4, 0xa7, 0xac, 0xbf, 0xc0, 0xc7, + 0xca, 0x24, 0x25, 0x2a, 0x40, 0x61, 0x83, 0x8b, 0x9c, 0xaf, 0xb6, 0xc4, 0xd2, 0xf0, 0xf1, 0xfd, 0x11, 0x16, 0x1c, 0x28, 0x33, 0x34, 0x36, 0x3d, 0x44, 0x65, 0xa5, 0xb7, 0xbc, 0xce, 0xcf, 0xd2, + 0xdc, 0xf5, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x14, 0x21, 0x30, 0x43, +}; +static const uint8_t ML_DSA_44_sigver_9_msg[] = { + 0x1f, 0xf8, 0xde, 0xd4, 0x50, 0x64, 0x5c, 0xed, 0x8f, 0xf0, 0x20, 0x73, 0x37, 0xed, 0x35, 0x2c, 0x2b, 0x22, 0x99, 0xe9, 0xe2, 0x61, 0xc2, 0xfc, 0x8b, 0xa8, 0x36, 0x50, 0x73, 0x39, 0xc0, 0x74, + 0x2f, 0x9b, 0xc5, 0x1a, 0x69, 0x1c, 0xe3, 0xa0, 0x15, 0xba, 0xea, 0x50, 0x26, 0x05, 0xb3, 0x81, 0x57, 0x17, 0xd8, 0x3f, 0x4d, 0x76, 0x8a, 0xe5, 0x13, 0x48, 0xf0, 0x33, 0x04, 0x72, 0xa7, 0x79, + 0x41, 0x47, 0x78, 0xea, 0x6f, 0x8c, 0x44, 0x04, 0x61, 0xe6, 0x60, 0x6c, 0x47, 0xd6, 0x45, 0x7c, 0xdb, 0x3a, 0xc2, 0x1b, 0xb3, 0x01, 0xbc, 0xa7, 0x85, 0x34, 0xa6, 0xae, 0x20, 0x44, 0x86, 0x75, + 0x27, 0x31, 0x26, 0x6c, 0x81, 0x8f, 0xbb, 0x19, 0x33, 0x8b, 0x41, 0x09, 0x1d, 0x10, 0x19, 0xba, 0xf6, 0x11, 0x78, 0x8a, 0xe7, 0xcf, 0xab, 0x68, 0xb3, 0xf9, 0x7a, 0x2a, 0xa5, 0x77, 0x90, 0xa3, +}; +static const uint8_t ML_DSA_44_sigver_9_sig[] = { + 0x17, 0xc9, 0xbe, 0x2e, 0x3e, 0x19, 0x09, 0x41, 0xfb, 0x3a, 0x1a, 0x6f, 0x83, 0x9f, 0xf5, 0x14, 0x71, 0x7f, 0x14, 0xb7, 0x07, 0xce, 0x86, 0x86, 0xdf, 0x3c, 0xdc, 0x4c, 0x11, 0x1b, 0xf1, 0x35, + 0x09, 0x3e, 0x7f, 0x3b, 0xdc, 0x3d, 0x51, 0x70, 0x76, 0xdc, 0x8d, 0xa2, 0x3f, 0x9b, 0x0c, 0x80, 0xd4, 0xec, 0xc3, 0x27, 0x02, 0x34, 0x7a, 0x7f, 0xa1, 0x69, 0x79, 0x21, 0x97, 0xc4, 0xb1, 0x1e, + 0x69, 0x88, 0x90, 0xb3, 0x75, 0xe6, 0x4f, 0x22, 0x3f, 0x43, 0x2d, 0x74, 0xe9, 0x13, 0x57, 0x89, 0x02, 0x52, 0x05, 0x62, 0xec, 0x8b, 0xa5, 0xc5, 0xec, 0xde, 0x08, 0x9c, 0x45, 0x9f, 0xec, 0x42, + 0x0c, 0xa0, 0xc9, 0x7a, 0x8f, 0xc3, 0x60, 0xf9, 0x89, 0x03, 0xb3, 0x33, 0xb0, 0xf6, 0x54, 0xa5, 0xda, 0x3e, 0xa2, 0x5f, 0xbd, 0x42, 0xed, 0x7c, 0xe1, 0x36, 0x5d, 0x01, 0x42, 0x8d, 0xca, 0x0f, + 0x36, 0xa3, 0xc9, 0xe4, 0xc2, 0xf5, 0x61, 0x8e, 0x4b, 0x28, 0x50, 0x18, 0x73, 0xbd, 0xc7, 0xc8, 0x5b, 0xfe, 0x8c, 0x60, 0x48, 0x81, 0xcf, 0x34, 0x2e, 0x37, 0x82, 0xb0, 0x23, 0xa1, 0xf4, 0x48, + 0xdd, 0x4e, 0xe9, 0x15, 0x4d, 0x8a, 0x04, 0xcf, 0xee, 0x6e, 0x50, 0xe4, 0x15, 0xb2, 0xe2, 0xd7, 0xf0, 0x8e, 0x4d, 0x9c, 0x62, 0x35, 0xac, 0x1f, 0xe8, 0xee, 0x3b, 0xb1, 0xfd, 0x82, 0xc8, 0x8f, + 0x36, 0xb3, 0xc7, 0xaf, 0x4c, 0x1c, 0xcf, 0x0d, 0xf3, 0x1a, 0xe6, 0x90, 0xb7, 0x2a, 0x1e, 0x58, 0xe2, 0x30, 0xa3, 0x49, 0x75, 0xbe, 0xb0, 0xf5, 0x4c, 0x8c, 0xa8, 0x05, 0x48, 0xaf, 0x0c, 0x25, + 0x55, 0xcd, 0xe3, 0x71, 0x40, 0x04, 0x54, 0x4d, 0x80, 0x20, 0x52, 0x09, 0x1c, 0xaa, 0x74, 0xe6, 0x78, 0x49, 0x82, 0xcf, 0xa0, 0x5b, 0xb5, 0x5a, 0x86, 0xd8, 0x28, 0xd7, 0x4a, 0x5e, 0xfd, 0x15, + 0xf1, 0x5d, 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0x79, 0x7d, 0xae, + 0x89, 0x4c, 0x84, 0xd7, 0xee, 0x33, 0xcc, 0xfc, 0x93, 0xec, 0x75, 0x9d, 0x97, 0x4d, 0x41, 0x30, 0x1f, 0xe6, 0xda, 0x75, 0xce, 0xee, 0x62, 0xe9, 0x24, 0xf9, 0xac, 0x93, 0x9c, 0xb7, 0x97, 0x5e, + 0x9a, 0x8e, 0xde, 0x23, 0x02, 0x20, 0x3d, 0x99, 0x75, 0xb8, 0xb5, 0xa6, 0x8d, 0x26, 0x38, 0xbc, 0x56, 0x2a, 0x7c, 0x0e, 0x08, 0x88, 0xe9, 0xdf, 0xbf, 0x73, 0x32, 0x38, 0x09, 0x71, 0xb6, 0x9a, + 0x22, 0x42, 0x64, 0xe2, 0xc8, 0x45, 0x61, 0xdf, 0x87, 0x55, 0x96, 0x84, 0x77, 0xae, 0xeb, 0x26, 0xb9, 0x4e, 0xaf, 0x58, 0xa1, 0x1f, 0x3c, 0xa8, 0x4c, 0x2d, 0x7e, 0xa4, 0x42, 0x73, 0x93, 0xdc, + 0x09, 0x0a, 0x0e, 0x15, 0x1e, 0x2a, 0x30, 0x37, 0x54, 0x59, 0x78, 0x7f, 0x81, 0x88, 0x8f, 0x93, 0x94, 0x96, 0xb8, 0xba, 0xc5, 0xcf, 0xf4, 0x04, 0x0e, 0x31, 0x3d, 0x49, 0x5c, 0x6d, 0x6e, 0x7b, + 0x7c, 0x84, 0x8a, 0x9a, 0xa3, 0xcc, 0xd5, 0xda, 0xef, 0xf3, 0xfa, 0x02, 0x09, 0x2b, 0x3f, 0x4b, 0x4c, 0x73, 0x9d, 0xe0, 0xe2, 0xe6, 0xee, 0x0e, 0x1a, 0x2a, 0x35, 0x39, 0x61, 0x64, 0x6a, 0x71, + 0x85, 0x8a, 0xb5, 0xba, 0xc4, 0xed, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x17, 0x2b, 0x37, 0x47, +}; +static const uint8_t ML_DSA_44_sigver_10_msg[] = { + 0x3a, 0x3a, 0xce, 0x74, 0x41, 0x53, 0xd6, 0x2f, 0x14, 0x99, 0xd0, 0xac, 0x79, 0x19, 0xa1, 0xed, 0x6c, 0x15, 0x11, 0xfc, 0x4d, 0x70, 0x47, 0x3a, 0x86, 0xe3, 0x28, 0xcc, 0xb5, 0x58, 0xc6, 0x82, + 0xbc, 0x3f, 0xe7, 0xf1, 0x75, 0xe4, 0x8c, 0x6d, 0x9c, 0xd1, 0x77, 0x15, 0x7b, 0xc2, 0xbf, 0x58, 0xde, 0xc1, 0x73, 0xa1, 0x4b, 0x3f, 0x14, 0x22, 0x2c, 0x44, 0x59, 0xcd, 0xc0, 0x73, 0x00, 0x8c, + 0xaf, 0x4c, 0x6f, 0x38, 0x72, 0x7f, 0xaf, 0xdf, 0xb7, 0x5c, 0x3c, 0x61, 0x92, 0x73, 0x7e, 0xe0, 0xb0, 0xe9, 0x3f, 0xb6, 0xe4, 0x76, 0xcf, 0x2c, 0x78, 0x5a, 0x71, 0x24, 0xc4, 0x43, 0xc9, 0xd8, + 0x33, 0x0a, 0x89, 0xfa, 0xa2, 0x6f, 0x42, 0x1e, 0x77, 0x58, 0x17, 0x1b, 0x6b, 0x8c, 0x7d, 0x9e, 0x68, 0x1d, 0x10, 0x8a, 0x4c, 0x34, 0x96, 0x39, 0x47, 0x11, 0xa8, 0xb4, 0x9d, 0x26, 0x37, 0xce, +}; +static const uint8_t ML_DSA_44_sigver_10_sig[] = 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0xd5, + 0xe9, 0x27, 0xc8, 0x9b, 0x63, 0xcc, 0x26, 0xf0, 0xf0, 0xfb, 0x0a, 0x6c, 0x35, 0x61, 0x77, 0x5d, 0x46, 0xbe, 0xf7, 0xa7, 0x19, 0x5a, 0xc0, 0x7c, 0xb2, 0xeb, 0xa4, 0x3e, 0xa7, 0x5f, 0xcb, 0x53, + 0x93, 0xdb, 0xeb, 0x78, 0x1e, 0x18, 0x7a, 0xe8, 0x50, 0x9f, 0xad, 0x50, 0x92, 0x07, 0xc8, 0x7b, 0xcf, 0x2e, 0xd1, 0xf9, 0x46, 0x70, 0x67, 0xe6, 0xdd, 0x3c, 0xb4, 0x87, 0xb5, 0x20, 0xf5, 0x73, + 0xe3, 0xca, 0x84, 0x31, 0x52, 0x88, 0x78, 0xb1, 0x8e, 0x7c, 0xfe, 0x5a, 0xcf, 0x91, 0x4e, 0xc0, 0xdb, 0x0b, 0x99, 0x60, 0x9f, 0x7c, 0x9b, 0x30, 0x6a, 0xf5, 0x91, 0x56, 0xe5, 0x85, 0x88, 0x02, + 0x86, 0x51, 0xbc, 0x73, 0xba, 0x56, 0x2d, 0x03, 0x43, 0xa3, 0xcc, 0x10, 0x31, 0x8a, 0xa0, 0x8c, 0x9c, 0x79, 0xa2, 0x57, 0x99, 0xbe, 0x78, 0x23, 0xbb, 0xc8, 0x33, 0x5e, 0xc0, 0x23, 0x4e, 0xb4, + 0x2e, 0x52, 0xf7, 0xe4, 0x20, 0xd6, 0x92, 0x7f, 0xd8, 0xd1, 0x9a, 0x67, 0x6e, 0xec, 0x7f, 0x0d, 0x53, 0x5e, 0x90, 0x20, 0xa5, 0x8b, 0xda, 0xd8, 0x70, 0xd9, 0xf8, 0xca, 0xd9, 0x70, 0x9c, 0xd0, + 0xd2, 0x4b, 0x84, 0x79, 0xad, 0x2e, 0x94, 0x09, 0x29, 0xbe, 0xbf, 0x54, 0x0a, 0x6b, 0x44, 0x7e, 0x46, 0xae, 0x63, 0x0f, 0x30, 0xc1, 0xc0, 0x98, 0x57, 0xa9, 0xb2, 0x76, 0x6d, 0x9f, 0x26, 0x64, + 0x02, 0x2e, 0x32, 0x3a, 0x3b, 0x41, 0x7d, 0xaa, 0xc1, 0xc4, 0xd1, 0xe0, 0x20, 0x23, 0x2f, 0x46, 0x4b, 0x4c, 0x4d, 0x50, 0x53, 0x68, 0x69, 0x76, 0x90, 0x9a, 0xab, 0xe5, 0xf6, 0x0a, 0x0b, 0x14, + 0x1e, 0x24, 0x27, 0x31, 0x3d, 0x52, 0x69, 0x79, 0x7a, 0x7b, 0xa5, 0xa7, 0xab, 0xb1, 0xc7, 0xd7, 0xf0, 0x19, 0x20, 0x25, 0x37, 0x3d, 0x46, 0x53, 0x76, 0x77, 0x78, 0x91, 0xb8, 0xd6, 0xd7, 0xf3, + 0xf8, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0c, 0x1d, 0x31, 0x41, +}; +static const uint8_t ML_DSA_44_sigver_11_msg[] = { + 0x3d, 0xe9, 0xc8, 0xcd, 0xa0, 0x14, 0x78, 0x4f, 0x23, 0xc8, 0xcb, 0x6d, 0x41, 0x29, 0x4d, 0x39, 0xd2, 0x7c, 0x9a, 0x5d, 0xf8, 0xf8, 0xd9, 0x39, 0xb6, 0xf2, 0xd8, 0x21, 0x82, 0x4e, 0x58, 0x4b, + 0xc0, 0xba, 0x51, 0x60, 0x37, 0xe1, 0x00, 0xc6, 0x8c, 0x02, 0x48, 0x0d, 0xad, 0x43, 0x6e, 0x12, 0xdd, 0x09, 0x5d, 0xff, 0xe2, 0x93, 0xdf, 0x8e, 0x4a, 0xff, 0xaf, 0xa0, 0xda, 0x05, 0x51, 0x6b, + 0xd5, 0x79, 0xb1, 0xb0, 0x3b, 0x2a, 0x43, 0x30, 0x7c, 0x7d, 0xf0, 0xd8, 0x86, 0x24, 0x38, 0x65, 0x93, 0xb2, 0x26, 0xd4, 0xba, 0x2e, 0xc5, 0x71, 0x6a, 0x8c, 0x8b, 0x7a, 0x11, 0x7c, 0x43, 0x7d, + 0xda, 0xce, 0x31, 0xe6, 0xa9, 0x02, 0xc4, 0x03, 0xdd, 0x17, 0x2d, 0xa7, 0x05, 0x4a, 0x1b, 0xd6, 0x79, 0xc0, 0x1c, 0x1d, 0x82, 0x2c, 0x3a, 0x07, 0x5f, 0x5a, 0xb2, 0x00, 0x2d, 0x21, 0x47, 0xa9, +}; +static const uint8_t ML_DSA_44_sigver_11_sig[] = { + 0x4a, 0x3c, 0x06, 0x83, 0xee, 0x52, 0xa2, 0xe3, 0x70, 0x37, 0x16, 0xe4, 0x4d, 0x32, 0x12, 0x08, 0x37, 0x4c, 0xb0, 0xec, 0xa7, 0x4f, 0x9e, 0x6a, 0x62, 0x4a, 0x19, 0x47, 0xb6, 0x78, 0x8a, 0xd7, + 0xf6, 0xae, 0x68, 0xf3, 0x20, 0xa5, 0x80, 0xd3, 0x56, 0x97, 0xe4, 0x8b, 0x27, 0x67, 0x79, 0xd4, 0xf5, 0xd2, 0xc8, 0xaf, 0x78, 0x17, 0x7f, 0x12, 0xc9, 0xcd, 0x11, 0x78, 0x75, 0xe0, 0xcb, 0x03, + 0x92, 0x93, 0xf1, 0x40, 0xc2, 0x4d, 0x80, 0xc8, 0x95, 0xec, 0xd7, 0xae, 0x9c, 0x7c, 0x8a, 0xb7, 0x23, 0x95, 0xa2, 0x73, 0x6d, 0x7d, 0xad, 0x6f, 0xe3, 0xea, 0x57, 0xf2, 0x1f, 0x96, 0x81, 0x80, + 0x6d, 0x82, 0x1c, 0x91, 0xeb, 0x79, 0x0b, 0xbd, 0x7f, 0x4a, 0xec, 0xa9, 0x61, 0x00, 0xca, 0x22, 0x5a, 0x45, 0xca, 0xbe, 0x93, 0x72, 0xf4, 0x87, 0x32, 0xb1, 0xa0, 0x74, 0x5b, 0xba, 0xda, 0xea, + 0x05, 0x94, 0xcd, 0x87, 0x87, 0x5c, 0x05, 0xb7, 0x03, 0xfd, 0xac, 0xeb, 0x44, 0x17, 0x36, 0x81, 0x1e, 0x2b, 0x6a, 0xae, 0xd1, 0x72, 0xb6, 0xed, 0xb8, 0xfd, 0xd0, 0x87, 0xef, 0x22, 0xd3, 0x0c, + 0xee, 0xaa, 0x7f, 0x9e, 0x9a, 0x0d, 0xac, 0xd1, 0x3d, 0x60, 0x74, 0x9c, 0x0a, 0x04, 0xc3, 0x76, 0xb8, 0x04, 0x87, 0x2a, 0x6c, 0x50, 0x56, 0xc3, 0x7b, 0x9b, 0x64, 0xb4, 0x06, 0x0c, 0xdb, 0xac, + 0x15, 0xb1, 0xc0, 0x0c, 0xf9, 0xac, 0x77, 0xdb, 0x99, 0xc5, 0x06, 0xfd, 0xae, 0x0a, 0xe1, 0x6c, 0x19, 0x8d, 0xe0, 0xbe, 0xfc, 0x4c, 0xab, 0xd6, 0xb3, 0x8b, 0xc7, 0xe2, 0x68, 0x11, 0x28, 0x44, + 0xb8, 0xed, 0x55, 0x25, 0xa5, 0x62, 0x4a, 0x36, 0x70, 0x1a, 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0x90, 0x7e, 0x10, 0x24, 0x38, 0xc6, 0xd7, 0xb9, 0x2d, 0x08, 0x68, 0xc0, 0x3b, 0x8e, 0x5f, 0xe9, 0xd6, 0xae, 0xd8, 0x3c, 0x4b, 0x82, 0x21, 0xda, 0x60, 0x78, 0x45, 0x13, + 0x43, 0xac, 0xc8, 0x6e, 0xc5, 0xb3, 0x77, 0x6f, 0x98, 0x60, 0x31, 0xa0, 0x96, 0x3b, 0xa7, 0x8d, 0xc2, 0x04, 0x5d, 0x04, 0xf5, 0x99, 0x78, 0x0d, 0xfb, 0x1e, 0x82, 0x77, 0xc9, 0x6a, 0xb8, 0x4e, + 0xe3, 0xa2, 0x7d, 0x14, 0x5f, 0x8e, 0xe7, 0xa8, 0x6c, 0x04, 0xbd, 0xc4, 0xa6, 0xaf, 0xa0, 0xa8, 0xca, 0x9f, 0x58, 0xc5, 0x5c, 0x60, 0xe3, 0x21, 0x01, 0xb5, 0x17, 0xee, 0x1b, 0x15, 0x4f, 0x60, + 0x29, 0x0f, 0x63, 0x5f, 0xd1, 0x3e, 0x4f, 0xac, 0x42, 0x2e, 0xa8, 0x74, 0xac, 0x10, 0x42, 0x02, 0x89, 0x9e, 0x02, 0x08, 0x32, 0xc1, 0x5f, 0xcd, 0x82, 0x9a, 0xba, 0x48, 0xcb, 0x43, 0xae, 0x8d, + 0x15, 0x1b, 0x2e, 0x36, 0x54, 0xad, 0xb1, 0xb6, 0xdd, 0xde, 0xf1, 0xfc, 0x27, 0x39, 0x3b, 0x64, 0x72, 0x74, 0xa6, 0xa8, 0xdc, 0x10, 0x18, 0x1c, 0x24, 0x40, 0x4c, 0x56, 0x60, 0x6e, 0x8a, 0x8d, + 0x8f, 0xa7, 0xad, 0xb3, 0xe1, 0xf1, 0x04, 0x08, 0x0f, 0x16, 0x18, 0x26, 0x33, 0x42, 0x64, 0x6c, 0x85, 0xbe, 0xc5, 0xc6, 0xe3, 0xe7, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0c, 0x15, 0x26, 0x36, +}; +static const uint8_t ML_DSA_44_sigver_12_msg[] = { + 0xab, 0xa8, 0x3f, 0x23, 0x91, 0x7f, 0x4e, 0xe6, 0x84, 0xc8, 0xc3, 0x45, 0x74, 0x33, 0xe1, 0xcb, 0x08, 0xd1, 0xa3, 0xce, 0x58, 0xea, 0x49, 0xa5, 0x97, 0xf8, 0x2c, 0x9d, 0x54, 0x9d, 0xfd, 0x2c, + 0x8e, 0x46, 0x09, 0x43, 0xfa, 0x31, 0xd2, 0x52, 0xc1, 0xcc, 0x4a, 0xd1, 0xad, 0x2f, 0xc9, 0x9e, 0x93, 0x39, 0xb7, 0xf2, 0x2e, 0xc2, 0x28, 0xb4, 0xec, 0x39, 0x55, 0x63, 0xd2, 0x0f, 0xb2, 0xcf, + 0x9a, 0x70, 0x75, 0x3e, 0xd1, 0x74, 0x04, 0xc0, 0xc3, 0xd1, 0x91, 0x81, 0x9f, 0x35, 0xdf, 0xec, 0x5c, 0xfe, 0xac, 0x07, 0x6c, 0x97, 0x9d, 0x03, 0x84, 0xdb, 0xb8, 0xff, 0xf1, 0x96, 0x24, 0x52, + 0x4d, 0xe9, 0x07, 0x8c, 0x1c, 0x26, 0x9c, 0x40, 0x40, 0x24, 0x8a, 0xcc, 0xc6, 0xad, 0x90, 0xa4, 0x39, 0x47, 0xfa, 0xf6, 0x62, 0x00, 0xb9, 0xa2, 0xfd, 0x91, 0x64, 0x6e, 0xb4, 0x45, 0xe5, 0x4f, +}; +static const uint8_t ML_DSA_44_sigver_12_sig[] = { + 0x42, 0xb0, 0xae, 0x8f, 0xec, 0xac, 0x6b, 0x97, 0x47, 0xd4, 0xdf, 0xb2, 0xcd, 0xfd, 0x59, 0x89, 0x26, 0xa8, 0x87, 0xbb, 0x9b, 0x23, 0xd2, 0x0f, 0x6f, 0x74, 0x64, 0x6d, 0xb4, 0x0a, 0x6d, 0x59, + 0x98, 0xa2, 0x9a, 0x3f, 0x4d, 0x83, 0xde, 0x79, 0xf2, 0xd7, 0x4f, 0x36, 0x9e, 0xe1, 0x26, 0xde, 0x43, 0x0a, 0x4a, 0x1e, 0x4b, 0x2e, 0x59, 0x76, 0xa9, 0x79, 0xfb, 0xf2, 0x2b, 0xd9, 0x30, 0x85, + 0x05, 0x8d, 0x27, 0xf7, 0x69, 0x41, 0x1d, 0xe3, 0xf4, 0xd8, 0x0e, 0x25, 0x2d, 0xa1, 0xef, 0x8b, 0x4b, 0xa7, 0x05, 0xa9, 0x70, 0xca, 0x0d, 0x87, 0xe4, 0x4f, 0x7f, 0x1b, 0x4f, 0xee, 0xba, 0x25, + 0x70, 0xe1, 0xec, 0x6e, 0x13, 0x3e, 0x63, 0x99, 0x58, 0xd8, 0xbd, 0x3d, 0x41, 0x07, 0x35, 0x09, 0x50, 0x3b, 0x4b, 0xae, 0x90, 0x6e, 0x4d, 0x66, 0x3f, 0x00, 0xf9, 0x75, 0x77, 0xaf, 0x3a, 0xc5, + 0x26, 0x02, 0x15, 0xbd, 0x29, 0x74, 0x04, 0xc1, 0x07, 0xdc, 0x60, 0x3b, 0x70, 0xb4, 0xf6, 0x11, 0xe9, 0xfa, 0xea, 0x80, 0x05, 0x1e, 0x21, 0x1c, 0x34, 0xfb, 0x42, 0x84, 0xf4, 0x39, 0xa6, 0x7b, + 0xd9, 0x26, 0x6e, 0x76, 0xa9, 0xda, 0x05, 0xa7, 0xa3, 0xe4, 0x12, 0x48, 0x3e, 0xe8, 0xa4, 0x1f, 0x1e, 0x65, 0x87, 0xd1, 0xf5, 0x44, 0x25, 0x39, 0xc1, 0x33, 0xd1, 0x80, 0x36, 0xa5, 0xc1, 0x94, + 0xac, 0x77, 0x6e, 0xa6, 0x52, 0x2c, 0xba, 0x1a, 0x49, 0xf4, 0x0b, 0xda, 0x2d, 0x36, 0x06, 0xe9, 0x0e, 0xc3, 0x6e, 0x2a, 0x80, 0x6c, 0xd9, 0x88, 0xed, 0x18, 0xe2, 0xd4, 0xa6, 0x64, 0x8f, 0x31, + 0xc8, 0x62, 0x07, 0x1f, 0x9f, 0x5e, 0x07, 0xba, 0xc0, 0x04, 0x45, 0x79, 0xfe, 0x5c, 0xf8, 0xc9, 0xba, 0x94, 0xd0, 0xef, 0xbc, 0x50, 0xad, 0xb4, 0x27, 0xd5, 0x1a, 0xac, 0x95, 0xbe, 0x74, 0xa9, + 0x1e, 0x30, 0x90, 0x2a, 0x6e, 0x54, 0xa3, 0x3f, 0x8b, 0xf9, 0xe4, 0x76, 0xec, 0x19, 0x12, 0x03, 0xc7, 0xe4, 0xb2, 0xe7, 0x59, 0xe7, 0x34, 0xc9, 0x21, 0x12, 0xcd, 0x6c, 0x1f, 0xda, 0x59, 0x5e, + 0x57, 0x74, 0x53, 0x6b, 0xbc, 0xa8, 0x3c, 0xf1, 0x2a, 0x00, 0x1c, 0x4b, 0xd4, 0xba, 0x29, 0xb7, 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0x7f, 0xa6, 0xd9, 0x18, 0xc2, 0xb7, 0xdb, 0xc7, 0x52, 0xb6, 0x18, + 0x2a, 0x6e, 0x50, 0x73, 0x40, 0x16, 0x1b, 0x1f, 0x0a, 0xd5, 0x51, 0x67, 0xe0, 0x1b, 0xee, 0x73, 0xf4, 0xaa, 0xfb, 0xc5, 0x1e, 0x82, 0xd7, 0xcb, 0x2f, 0x78, 0x0f, 0x94, 0x3f, 0xa7, 0x86, 0x44, + 0xdc, 0xef, 0xc4, 0x61, 0x37, 0xf7, 0x6d, 0x76, 0x1e, 0x83, 0xdb, 0x23, 0xc0, 0xd7, 0x07, 0x0e, 0xe7, 0xfd, 0x70, 0x5b, 0xba, 0xc5, 0xdf, 0xe3, 0x98, 0x49, 0xf2, 0x8b, 0x4a, 0xac, 0x5b, 0x17, + 0x07, 0x22, 0x38, 0x02, 0x69, 0x51, 0xaa, 0x06, 0xe0, 0xcd, 0x95, 0x63, 0x92, 0xdb, 0xde, 0x08, 0x90, 0x1e, 0xb9, 0xdc, 0xf5, 0xa4, 0x2f, 0x97, 0xf8, 0x43, 0xf1, 0x16, 0x8b, 0xda, 0xc6, 0xb2, + 0x0e, 0x71, 0xe8, 0xf6, 0x13, 0x31, 0xe2, 0x30, 0x3e, 0xab, 0x3b, 0x77, 0x9e, 0xad, 0xcc, 0xbc, 0x75, 0x08, 0xa2, 0xf2, 0x59, 0x9d, 0xfe, 0xa3, 0xb1, 0xba, 0x06, 0x27, 0x4b, 0xe0, 0x31, 0x3b, + 0xf5, 0xbf, 0xe1, 0x67, 0x83, 0xf9, 0x4f, 0x3d, 0xf7, 0xcb, 0x9e, 0x27, 0xe7, 0x2f, 0xa5, 0x1a, 0x80, 0xf0, 0x56, 0xad, 0x21, 0x6c, 0x76, 0x88, 0x6b, 0xff, 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0x6c, 0x20, 0xf7, 0xc9, 0x1c, 0xca, 0x50, 0x9e, 0xb9, 0x1a, 0x43, 0xb5, 0xbe, 0x76, 0x09, 0x45, 0x77, 0xa2, 0xe6, 0xa7, 0x84, 0x21, + 0x66, 0xdb, 0xb5, 0xb4, 0x81, 0x5a, 0x87, 0x21, 0xf7, 0xcc, 0x63, 0x9f, 0xfd, 0x05, 0x59, 0x31, 0xe3, 0x56, 0xf6, 0xc3, 0x36, 0x88, 0xd2, 0xf8, 0x04, 0x1f, 0x6e, 0x6b, 0x24, 0x62, 0x38, 0x9a, + 0x34, 0x48, 0x55, 0x76, 0x7f, 0x85, 0x92, 0xa5, 0xa7, 0xc4, 0xc5, 0xd8, 0x05, 0x11, 0x1f, 0x26, 0x3d, 0x3e, 0x40, 0x42, 0x4b, 0x5b, 0x6b, 0x95, 0xa0, 0xb6, 0xc5, 0xdc, 0xe3, 0xef, 0x08, 0x0b, + 0x0e, 0x17, 0x33, 0x41, 0x49, 0x61, 0x6a, 0x73, 0x78, 0x79, 0x7e, 0x89, 0x8a, 0x91, 0x9d, 0xa7, 0xbc, 0xcb, 0xcc, 0xe7, 0xee, 0x2a, 0x39, 0x41, 0x70, 0x7e, 0x8b, 0xee, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0c, 0x1e, 0x35, 0x3c, +}; +static const uint8_t ML_DSA_44_sigver_13_msg[] = { + 0x50, 0xf8, 0x49, 0x2b, 0x17, 0x35, 0xe3, 0x2e, 0x32, 0xd2, 0x75, 0xe0, 0xbc, 0x94, 0xab, 0xce, 0xaf, 0x82, 0x0f, 0xb6, 0xe3, 0xb9, 0xcf, 0x3d, 0xe9, 0x76, 0x20, 0xc6, 0xe0, 0x86, 0xbe, 0x11, + 0x22, 0x86, 0xff, 0xdc, 0x83, 0x63, 0xc8, 0x24, 0x97, 0xca, 0x3b, 0xf7, 0x53, 0xb4, 0x1b, 0x3b, 0x98, 0x27, 0x3b, 0x56, 0x1a, 0x1e, 0x72, 0x4f, 0xd4, 0xcc, 0x8f, 0xdf, 0x59, 0x7b, 0xf8, 0x6d, + 0xca, 0xc9, 0x95, 0xd8, 0xcf, 0x43, 0xf6, 0xea, 0xd9, 0x2a, 0xd4, 0x55, 0x09, 0xa4, 0x0a, 0x78, 0x56, 0x7a, 0x42, 0xd9, 0xf3, 0x88, 0xda, 0xb7, 0x5e, 0xcf, 0x20, 0x7a, 0x4d, 0xa2, 0x4e, 0x6c, + 0x20, 0x44, 0x9c, 0x5e, 0x2d, 0x72, 0xb5, 0xda, 0x00, 0x2f, 0xdf, 0xf5, 0xd5, 0xd1, 0x1e, 0xf5, 0x46, 0xdc, 0x81, 0xa8, 0xe7, 0x18, 0xb2, 0x66, 0x27, 0xc2, 0x4a, 0x85, 0x1e, 0xf7, 0x1a, 0xb9, +}; +static const uint8_t ML_DSA_44_sigver_13_sig[] = { + 0x0e, 0x74, 0xe2, 0xb1, 0x62, 0xc5, 0x0f, 0x7c, 0xeb, 0x44, 0x2c, 0xd3, 0x45, 0x3b, 0x91, 0x1f, 0xe4, 0x70, 0x65, 0xf0, 0x56, 0xf3, 0xdc, 0xd2, 0x91, 0xfe, 0xf0, 0x74, 0xbf, 0x00, 0xe0, 0x94, + 0xb2, 0xff, 0x7c, 0xb3, 0x29, 0xc7, 0xb8, 0xdd, 0x8f, 0x61, 0x96, 0x16, 0x8e, 0x3d, 0xc8, 0xfb, 0xf8, 0x31, 0x56, 0xb9, 0x3e, 0xd0, 0xe4, 0xf4, 0x2a, 0xcb, 0x76, 0x65, 0x42, 0x5f, 0x0d, 0xae, + 0xe7, 0xf8, 0xfb, 0x3d, 0x4a, 0x6b, 0x29, 0xfc, 0xbf, 0x9d, 0xb3, 0x50, 0x7b, 0x32, 0x55, 0xce, 0x86, 0xcd, 0x52, 0xc6, 0xf7, 0xce, 0x75, 0xe9, 0xf2, 0x05, 0x4a, 0x8b, 0x31, 0x80, 0x54, 0x41, + 0xf3, 0x44, 0x52, 0x1e, 0x33, 0xf0, 0x28, 0x5b, 0x58, 0xaa, 0xbf, 0xe6, 0xf5, 0x39, 0xa8, 0xc0, 0xca, 0xda, 0xc5, 0xd0, 0x91, 0xae, 0x88, 0xa8, 0x86, 0x42, 0xf9, 0x0f, 0x50, 0x52, 0xbb, 0x99, + 0x66, 0x96, 0x0f, 0x7f, 0xf8, 0xa2, 0xae, 0x4b, 0xc0, 0x95, 0x93, 0x74, 0xbe, 0xc9, 0xc5, 0xcd, 0xb9, 0x8e, 0x61, 0xd3, 0x69, 0x9b, 0x54, 0x5a, 0x7a, 0x5b, 0x23, 0x31, 0xc3, 0xeb, 0xc5, 0xa6, + 0x7a, 0x9c, 0xae, 0xed, 0xe9, 0xce, 0x63, 0xfd, 0x11, 0xcd, 0x0e, 0x1d, 0x1c, 0xf2, 0xe3, 0x3c, 0x33, 0x59, 0x1e, 0xcc, 0x84, 0x33, 0xc1, 0xe4, 0x43, 0x0a, 0xad, 0xf3, 0x3a, 0xdf, 0x07, 0x3b, + 0xf1, 0xde, 0xfe, 0x20, 0x3e, 0x96, 0x8d, 0xf9, 0x86, 0x04, 0xe9, 0x25, 0x45, 0x0e, 0xfb, 0xb9, 0xf8, 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0xdb, 0x0f, 0x26, 0x40, 0x47, 0x48, 0x4f, 0x7c, 0x85, 0x87, 0x98, 0x9b, 0xb4, 0xc4, 0xc8, 0x15, + 0x26, 0x2b, 0x2c, 0x2f, 0x3a, 0x3c, 0x47, 0x57, 0x6b, 0x6e, 0x81, 0x92, 0x93, 0xd8, 0xe6, 0xef, 0x03, 0x07, 0x10, 0x16, 0x21, 0x22, 0x26, 0x3d, 0x6f, 0x76, 0x89, 0x96, 0xa6, 0xb1, 0xe3, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x11, 0x1f, 0x30, 0x3f, +}; +static const uint8_t ML_DSA_44_sigver_14_msg[] = { + 0x8e, 0x9b, 0x39, 0xaf, 0x90, 0xa9, 0x5c, 0x98, 0x4b, 0xf5, 0x78, 0xe7, 0x98, 0xb1, 0x8c, 0x59, 0x5c, 0xbf, 0x19, 0xa8, 0xdb, 0x8c, 0x48, 0xb1, 0x98, 0xa0, 0x53, 0xfb, 0xbd, 0xd3, 0xab, 0x7a, + 0x8c, 0xce, 0x81, 0xf2, 0x7f, 0x86, 0x76, 0x8a, 0x97, 0xbf, 0x43, 0xbd, 0x09, 0x8f, 0x0c, 0x86, 0x8f, 0x98, 0xeb, 0x01, 0x2b, 0x3a, 0xcc, 0x0f, 0x8e, 0xb8, 0x35, 0x07, 0x34, 0xf3, 0x57, 0x8f, + 0xb3, 0x81, 0x77, 0xa4, 0x38, 0x1c, 0xf2, 0x47, 0xc1, 0x45, 0xe3, 0xa8, 0x9c, 0xd6, 0x69, 0xce, 0xa8, 0x87, 0xef, 0x15, 0x63, 0x5e, 0xfb, 0x03, 0x73, 0xb9, 0x0e, 0x71, 0xcd, 0x37, 0xcf, 0x7a, + 0x67, 0xdf, 0x93, 0x72, 0x5d, 0xb4, 0x0e, 0x7e, 0xad, 0x4e, 0x60, 0x27, 0x3d, 0x3f, 0xc8, 0x9d, 0x29, 0x03, 0x3e, 0x03, 0x6e, 0xbf, 0x6e, 0x47, 0xf4, 0xd4, 0x58, 0x46, 0x9b, 0x9f, 0x96, 0x20, +}; +static const uint8_t ML_DSA_44_sigver_14_sig[] = { + 0x4c, 0xeb, 0xe3, 0x8d, 0x2a, 0xd8, 0x66, 0x12, 0xe5, 0xe7, 0xd8, 0x02, 0x8f, 0x30, 0x77, 0x53, 0xe5, 0x9c, 0xb2, 0x70, 0x3f, 0x74, 0x3c, 0xc2, 0xa7, 0x3a, 0x9a, 0x41, 0x30, 0x51, 0xe2, 0x8a, + 0xed, 0x6e, 0x7c, 0x59, 0x65, 0x3e, 0x0b, 0x6c, 0xc8, 0x8b, 0x88, 0xd4, 0xed, 0xe3, 0x97, 0x86, 0x63, 0x28, 0x0b, 0xfe, 0x4c, 0xfd, 0xc1, 0x54, 0xdd, 0x0e, 0xfe, 0xba, 0x84, 0xb8, 0xe7, 0x84, + 0x9d, 0x18, 0x28, 0x52, 0xdc, 0x5e, 0xad, 0xc8, 0x62, 0x29, 0x13, 0x87, 0xde, 0x36, 0x51, 0xb4, 0xec, 0xbc, 0xe7, 0xab, 0x39, 0x54, 0x4c, 0xee, 0xa9, 0x56, 0x97, 0x65, 0x1e, 0x79, 0xc8, 0x83, + 0x7c, 0xeb, 0xc1, 0xa4, 0xed, 0xb8, 0x1b, 0xe9, 0x91, 0x96, 0x77, 0x1a, 0x46, 0x4d, 0x5c, 0x38, 0x65, 0x6e, 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0x73, 0xe8, 0xe3, 0xbe, 0x33, 0xfd, 0x0f, 0x55, 0x91, 0xe2, 0x17, 0x87, 0xbc, 0x8a, 0x1b, + 0x36, 0x65, 0x10, 0x4e, 0xe1, 0x44, 0x54, 0x77, 0xdc, 0x6c, 0xac, 0xda, 0x1c, 0x8b, 0xf0, 0x8e, 0x02, 0xb6, 0xb5, 0xd8, 0x1f, 0xc7, 0xa6, 0x7b, 0x5f, 0x54, 0xa7, 0xf8, 0x83, 0xe9, 0x2a, 0x99, + 0xe0, 0xd0, 0x7c, 0x4d, 0xba, 0x0b, 0xc6, 0xae, 0x79, 0xc2, 0x3c, 0x25, 0xa5, 0x00, 0x23, 0xa4, 0x7e, 0x83, 0x32, 0x93, 0x15, 0xba, 0x04, 0x9c, 0xb3, 0x98, 0x5a, 0x05, 0x18, 0x93, 0xbb, 0x53, + 0x0b, 0x15, 0x30, 0x34, 0x3a, 0x42, 0x4f, 0x51, 0x5d, 0x81, 0x90, 0x9f, 0xad, 0xcd, 0xd9, 0xe1, 0x01, 0x0b, 0x2a, 0x59, 0x65, 0x71, 0x79, 0x87, 0x88, 0x9a, 0xa0, 0xa7, 0xad, 0xb3, 0xf3, 0x14, + 0x18, 0x2a, 0x3b, 0x43, 0x45, 0x4b, 0x58, 0x8c, 0xb2, 0xdb, 0xec, 0xf8, 0xfa, 0x02, 0x25, 0x58, 0x8b, 0x96, 0xa5, 0xc8, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, 0x1f, 0x2d, 0x34, +}; +static const uint8_t ML_DSA_44_sigver_15_msg[] = { + 0xd3, 0xc6, 0x32, 0xa9, 0xad, 0x8b, 0xad, 0xb4, 0x1a, 0x22, 0xcc, 0xcd, 0x57, 0xb1, 0xd4, 0x29, 0xb2, 0xda, 0x6a, 0x47, 0x88, 0x0b, 0x95, 0xaa, 0x52, 0x9b, 0x9b, 0xbf, 0x9b, 0x18, 0xe4, 0x3f, + 0x59, 0x41, 0x2c, 0x84, 0x41, 0xf0, 0xfb, 0x79, 0x56, 0xd4, 0x07, 0xa6, 0xec, 0xd3, 0xbe, 0xb6, 0x5a, 0x7e, 0xb8, 0x16, 0xf5, 0x02, 0xa4, 0xff, 0x4a, 0x73, 0x99, 0xa8, 0x05, 0x04, 0x88, 0x22, + 0xc9, 0xb8, 0xa1, 0x15, 0x67, 0x2f, 0xa8, 0x6b, 0xf0, 0x60, 0x4a, 0x2c, 0x0a, 0xdf, 0x1e, 0xec, 0x44, 0xa0, 0xc3, 0x24, 0x3a, 0xad, 0xf8, 0xfa, 0x57, 0x93, 0xb3, 0xe9, 0x5b, 0xeb, 0xd9, 0xa0, + 0x01, 0x12, 0x86, 0x0a, 0xc0, 0x03, 0x57, 0x1e, 0xa2, 0xf3, 0xc4, 0xee, 0xfd, 0xfb, 0x93, 0xfe, 0x5d, 0xf5, 0x94, 0xde, 0xa5, 0x89, 0x34, 0x50, 0xc2, 0x61, 0x18, 0xbe, 0x4d, 0x4a, 0x5e, 0xb5, +}; +static const uint8_t ML_DSA_44_sigver_15_sig[] = { + 0x7a, 0xaa, 0xa0, 0xa8, 0x0a, 0xc8, 0x1b, 0x1d, 0x4e, 0xbd, 0xa4, 0x07, 0xc8, 0xb7, 0xc2, 0xdd, 0xb2, 0x0e, 0xca, 0x18, 0xde, 0xe9, 0x5b, 0x35, 0xdc, 0x21, 0x98, 0x58, 0x16, 0xc8, 0xae, 0x08, + 0x07, 0x0c, 0x49, 0x11, 0xd8, 0x10, 0x6c, 0x50, 0xce, 0xe8, 0xc2, 0x1c, 0x72, 0xae, 0xbf, 0x51, 0x45, 0x6e, 0x88, 0x20, 0x72, 0x43, 0x5c, 0xf5, 0xd5, 0x57, 0xed, 0x21, 0x9a, 0x82, 0xdf, 0x76, + 0xcd, 0xcb, 0x36, 0x38, 0xe2, 0x35, 0x32, 0x91, 0xa1, 0xba, 0x8b, 0xa3, 0x5b, 0x9b, 0xc2, 0xed, 0xf0, 0x3d, 0xa7, 0x3d, 0x7c, 0x0a, 0x0e, 0x65, 0xa2, 0xd6, 0xea, 0xb1, 0xab, 0x2a, 0xef, 0x4a, + 0xbe, 0x33, 0x29, 0xd9, 0xee, 0x81, 0x47, 0x7e, 0x02, 0x54, 0xa0, 0x4c, 0x2c, 0x19, 0x3d, 0xcd, 0xf5, 0x7d, 0x53, 0x5a, 0xcc, 0xb3, 0xfa, 0x9e, 0x37, 0x03, 0x7b, 0x81, 0x47, 0x59, 0x35, 0x65, + 0x0c, 0xb8, 0x16, 0xac, 0xc7, 0xe9, 0x44, 0xb4, 0x5d, 0x00, 0x7d, 0xde, 0xf7, 0xd8, 0x6b, 0x5f, 0x1e, 0x50, 0xe3, 0x2c, 0xcc, 0xd0, 0x2e, 0xe2, 0xec, 0x55, 0x95, 0xe1, 0x42, 0xbf, 0x06, 0xd4, + 0xed, 0x48, 0xc1, 0x41, 0x97, 0x77, 0x0a, 0x7c, 0x4e, 0x93, 0x19, 0x8f, 0x9f, 0x75, 0x45, 0x2d, 0xfa, 0x91, 0x5e, 0x30, 0xd4, 0xfc, 0x7a, 0x50, 0x4d, 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0xad, 0x75, 0xc3, 0x9b, 0xfb, 0x40, 0x67, 0x61, + 0x03, 0x10, 0x4c, 0x5e, 0x66, 0x7b, 0x7e, 0xb2, 0xcb, 0xda, 0xe0, 0xf1, 0x05, 0x1a, 0x25, 0x29, 0x35, 0x50, 0x56, 0x58, 0x7a, 0xbd, 0xc3, 0xc8, 0xcb, 0xe3, 0xee, 0xfb, 0x00, 0x02, 0x10, 0x24, + 0x3f, 0x80, 0xb2, 0xbc, 0xc2, 0xc6, 0xdf, 0xe4, 0xe5, 0xfb, 0x03, 0x07, 0x26, 0x2a, 0x60, 0x6b, 0x6c, 0x99, 0x9f, 0xa5, 0xa6, 0xaa, 0xaf, 0xb1, 0xc1, 0xc5, 0xd7, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0c, 0x1c, 0x2a, 0x3b, +}; +static const uint8_t ML_DSA_65_sigver_pub[] = { + 0x6c, 0x9e, 0x7a, 0x1e, 0xe3, 0x66, 0x25, 0x76, 0x0e, 0x5d, 0x2f, 0x33, 0xdf, 0x29, 0x29, 0xda, 0x56, 0x20, 0x32, 0x34, 0x06, 0x91, 0x60, 0xe5, 0xf2, 0xbf, 0x03, 0x9c, 0x11, 0x06, 0x22, 0x73, + 0x07, 0x3c, 0x23, 0x75, 0x66, 0xce, 0x05, 0x5d, 0x87, 0x1f, 0x38, 0xac, 0xd1, 0xa9, 0x85, 0x9a, 0x82, 0x44, 0x67, 0xf1, 0x9b, 0xe6, 0x8e, 0x4f, 0x00, 0x64, 0x5d, 0x22, 0x5c, 0x42, 0xc8, 0x5a, + 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0xef, 0x5d, 0x00, 0x90, 0x6a, 0xd2, 0xf0, 0xc0, 0x45, 0x35, 0x4e, 0xfd, 0xe7, 0xc9, 0xa2, 0x76, 0xe7, 0x3d, 0x9e, 0xdd, + 0x11, 0xd1, 0xca, 0x5c, 0x29, 0x7b, 0x9a, 0x68, 0x51, 0xe7, 0xf6, 0x7e, 0x21, 0xeb, 0x06, 0x1b, 0xb5, 0x5d, 0x9e, 0x67, 0x3c, 0x4a, 0x75, 0xfe, 0xb8, 0x4d, 0x52, 0x62, 0x9e, 0xec, 0xc5, 0x3c, + 0x24, 0xbe, 0xa9, 0x51, 0x53, 0x05, 0x1a, 0xc2, 0x06, 0xc8, 0x7d, 0xf5, 0x54, 0x10, 0xca, 0x1f, 0xe6, 0xcf, 0xc3, 0xf4, 0x03, 0xa6, 0xd9, 0xd4, 0x3e, 0xa8, 0x4c, 0x60, 0xc9, 0x45, 0xe6, 0x42, + 0xb2, 0x83, 0x63, 0x38, 0xb5, 0xaf, 0x9f, 0x69, 0xe5, 0x27, 0x08, 0xb2, 0xe2, 0x25, 0x93, 0x3d, 0xb3, 0x20, 0xbb, 0x3f, 0x79, 0x0d, 0x39, 0x7f, 0x22, 0xd7, 0xb6, 0xf8, 0xa4, 0x33, 0xcd, 0xac, + 0xe9, 0x81, 0x0a, 0xa0, 0xe2, 0x7c, 0x69, 0x95, 0x55, 0x53, 0x0c, 0x56, 0x2d, 0xbf, 0x75, 0x17, 0xa4, 0x16, 0x26, 0x28, 0xbf, 0x10, 0xd1, 0xb6, 0xdb, 0xac, 0xef, 0x5c, 0x9e, 0xd5, 0x1e, 0x55, + 0xd9, 0xa8, 0x9d, 0x60, 0xe0, 0xfc, 0x37, 0x8c, 0x47, 0xa2, 0x1d, 0x5e, 0x0f, 0x2d, 0xc3, 0xbc, 0xef, 0x5e, 0x05, 0xc6, 0xe0, 0x26, 0x15, 0x30, 0xfb, 0x02, 0x7e, 0x50, 0x32, 0x55, 0x8c, 0xa2, + 0xb4, 0x70, 0x05, 0xbd, 0xde, 0x99, 0x90, 0x99, 0x30, 0x39, 0x1e, 0xad, 0x7f, 0x3f, 0x0a, 0x96, 0xb3, 0xde, 0xda, 0x54, 0xa1, 0x11, 0x45, 0xf5, 0x30, 0xe5, 0x1d, 0xef, 0x89, 0x2e, 0x5a, 0xb0, + 0x20, 0x4d, 0x61, 0x4e, 0x6e, 0x38, 0xaf, 0xe7, 0x9c, 0xa9, 0x2c, 0x28, 0x15, 0x8d, 0x57, 0x01, 0x20, 0x35, 0x3b, 0x7a, 0x4d, 0xe0, 0x88, 0x98, 0x46, 0xd8, 0x35, 0x29, 0x49, 0x39, 0x55, 0x7e, + 0xd0, 0xae, 0xda, 0x27, 0x0d, 0x4d, 0x73, 0xed, 0x84, 0xd3, 0xd4, 0x9f, 0x9f, 0x03, 0x2d, 0x43, 0x45, 0x7b, 0xf5, 0x9b, 0xb7, 0xd6, 0x63, 0x59, 0xdc, 0x53, 0xf9, 0xb4, 0x69, 0x63, 0xb2, 0x17, + 0x84, 0xb0, 0x6c, 0xbc, 0xf0, 0x4b, 0xec, 0x1e, 0x33, 0xa3, 0x33, 0x71, 0x53, 0x27, 0x16, 0xc9, 0xed, 0xb3, 0xfb, 0xed, 0xb8, 0x19, 0x99, 0xb4, 0x37, 0x2d, 0x09, 0x45, 0xc1, 0x0a, 0xe8, 0x26, + 0xc6, 0x0f, 0xfe, 0x93, 0x17, 0x0b, 0x6d, 0x29, 0x4b, 0x38, 0x91, 0xb0, 0xd2, 0xa7, 0xb3, 0x5b, 0x28, 0xa8, 0x97, 0x18, 0x45, 0xdc, 0x2f, 0xec, 0xe2, 0x37, 0xb8, 0x0f, 0x20, 0xb3, 0x79, 0xcc, + 0x4d, 0x13, 0x6d, 0xab, 0x3f, 0xbb, 0x37, 0x92, 0xc6, 0x3e, 0xc6, 0x1f, 0x5c, 0x75, 0x5b, 0xc9, 0xdb, 0x35, 0x08, 0x6f, 0xbf, 0x46, 0xd2, 0xb7, 0x97, 0x0d, 0xca, 0x2a, 0x85, 0x23, 0xfd, 0xb4, + 0xc7, 0xa0, 0xb8, 0xe4, 0x2f, 0x8a, 0xf9, 0xac, 0xad, 0x2a, 0x0e, 0xfc, 0x11, 0x36, 0x02, 0xa4, 0xea, 0x62, 0xe4, 0xeb, 0xb7, 0xd2, 0x69, 0xc3, 0xa4, 0x0b, 0xa2, 0xc4, 0x4e, 0xdd, 0x29, 0x56, +}; +static const uint8_t ML_DSA_65_sigver_16_msg[] = { + 0x02, 0xf2, 0xf9, 0x30, 0x68, 0x0b, 0x35, 0x02, 0x10, 0x15, 0xb0, 0xda, 0x41, 0x3d, 0x32, 0x80, 0x42, 0xf9, 0x84, 0x43, 0x48, 0xfa, 0xac, 0x3d, 0xfd, 0x58, 0x67, 0x57, 0xc3, 0x57, 0x4e, 0x4b, + 0xad, 0xad, 0xe1, 0x1e, 0xa4, 0x09, 0x9f, 0xaf, 0x12, 0x61, 0x7d, 0x5e, 0xaa, 0x9f, 0x4c, 0xf4, 0xd4, 0xe7, 0x86, 0x28, 0xa0, 0xd3, 0x8f, 0xe3, 0x11, 0x9d, 0x3a, 0x08, 0xbb, 0x47, 0x64, 0x8e, + 0x73, 0x5b, 0x79, 0x8d, 0x32, 0x06, 0x68, 0xc9, 0x22, 0x25, 0x16, 0xd7, 0xdd, 0xbe, 0xdb, 0x37, 0x61, 0x22, 0x9f, 0x27, 0xe5, 0xc1, 0xa6, 0x27, 0x3b, 0x13, 0x25, 0x0c, 0xd2, 0xc2, 0xd4, 0x29, + 0x39, 0x5b, 0x1c, 0x86, 0xd6, 0xad, 0x16, 0x73, 0x0f, 0x6c, 0xea, 0x46, 0xfb, 0xca, 0xf7, 0x37, 0xaa, 0x0c, 0xcb, 0x8f, 0x71, 0x9d, 0xe9, 0x8f, 0xe1, 0x50, 0x3b, 0x48, 0x79, 0x78, 0x35, 0x0c, +}; +static const uint8_t ML_DSA_65_sigver_16_sig[] = { + 0xcd, 0x9b, 0xd3, 0xfc, 0xfe, 0x65, 0xf7, 0x6b, 0xd1, 0xa9, 0xc0, 0xf4, 0x86, 0x07, 0x37, 0xd7, 0xe1, 0xe5, 0xda, 0x8e, 0x7a, 0xdd, 0xe2, 0xd5, 0x28, 0xb2, 0xf8, 0x52, 0x83, 0xb3, 0x6b, 0x9e, + 0x1a, 0x06, 0x94, 0xd5, 0x63, 0x1a, 0x2b, 0x32, 0xbf, 0x0f, 0x13, 0x3f, 0xe5, 0x22, 0xe5, 0xf4, 0x0e, 0x39, 0x8b, 0x69, 0x6b, 0x50, 0x67, 0x69, 0x86, 0x46, 0x72, 0x32, 0x8c, 0x94, 0x2d, 0x7f, + 0xf1, 0x0d, 0xde, 0x0e, 0x56, 0x44, 0xfe, 0xcc, 0xda, 0x42, 0x1e, 0x89, 0xda, 0x2c, 0x3e, 0x65, 0xf4, 0x05, 0x2a, 0xaf, 0x4f, 0x2a, 0x37, 0x2b, 0x0a, 0x77, 0x7c, 0xb7, 0x6e, 0xdf, 0x55, 0xe8, + 0xd4, 0xc6, 0x07, 0xea, 0x72, 0xe7, 0x9e, 0x6f, 0x81, 0x15, 0x4b, 0x35, 0xfa, 0xa6, 0x99, 0x2d, 0x2f, 0x3a, 0x8b, 0x0c, 0x2a, 0xf0, 0xe3, 0x67, 0x24, 0x64, 0xa8, 0x7d, 0x3a, 0x34, 0x3d, 0x64, + 0xd9, 0x93, 0x66, 0xae, 0xea, 0xff, 0x81, 0xfc, 0x9f, 0x64, 0x7e, 0xad, 0x1c, 0x70, 0x35, 0xf8, 0xde, 0x51, 0x8d, 0x00, 0x3a, 0xa0, 0x91, 0x2d, 0x15, 0xc6, 0x3c, 0x0d, 0xd3, 0xb7, 0x3a, 0xb3, + 0x7a, 0xce, 0xd4, 0x24, 0x61, 0x0d, 0x6c, 0xf5, 0xbe, 0x64, 0x75, 0xb4, 0xae, 0x5c, 0x5b, 0xd9, 0xa7, 0x48, 0x56, 0x47, 0x84, 0x4c, 0x44, 0xe1, 0xc9, 0xe0, 0x1b, 0xc5, 0xc4, 0x69, 0x00, 0x5f, + 0x31, 0xa5, 0x9d, 0x01, 0x19, 0xd8, 0x72, 0xb7, 0xad, 0x4d, 0x09, 0xbd, 0xcf, 0xcc, 0x8b, 0xe2, 0x8d, 0x44, 0x6b, 0xf7, 0xfd, 0x32, 0x04, 0x16, 0x33, 0xa8, 0xa6, 0x1f, 0x55, 0xd8, 0x6b, 0xb7, + 0x39, 0x12, 0xbe, 0xcd, 0x65, 0x7b, 0xf8, 0x8b, 0xb8, 0xb8, 0xf7, 0xd0, 0x64, 0x43, 0xc5, 0x1b, 0xe6, 0x67, 0xd3, 0xc0, 0x81, 0x6a, 0x06, 0x8d, 0x1d, 0xe5, 0xdc, 0xdb, 0xaf, 0x38, 0x17, 0xb8, + 0xca, 0x4e, 0x19, 0x97, 0xbb, 0xb5, 0x18, 0x6a, 0x46, 0x7a, 0x0e, 0xaf, 0x1b, 0xc5, 0xb0, 0xc9, 0xf7, 0xd1, 0x8b, 0xf6, 0x3f, 0x5b, 0x82, 0xc6, 0x9f, 0xf5, 0xdd, 0x40, 0x36, 0x01, 0xc4, 0x8b, + 0x4f, 0xfc, 0x3c, 0xcb, 0x9c, 0x47, 0x11, 0x07, 0x3d, 0xbf, 0x81, 0x30, 0xf3, 0x10, 0x8f, 0x79, 0x35, 0x69, 0xe7, 0x17, 0x50, 0x9c, 0xaf, 0xfd, 0xd2, 0xae, 0x65, 0x9e, 0x42, 0x92, 0xb8, 0x02, + 0x83, 0xa9, 0xbd, 0x6c, 0x10, 0x67, 0xa6, 0x6a, 0x35, 0xc5, 0xb7, 0x50, 0x8d, 0xe3, 0xc6, 0x65, 0xcd, 0xe7, 0x10, 0x44, 0xed, 0xe2, 0x48, 0x9e, 0xaa, 0x6e, 0x6c, 0x42, 0xb1, 0x0f, 0x42, 0xdc, + 0x32, 0x15, 0x11, 0xbb, 0x99, 0x16, 0x27, 0xeb, 0x72, 0x27, 0xbc, 0x4e, 0x16, 0xa4, 0xcf, 0x12, 0x24, 0x33, 0x59, 0xc7, 0xed, 0x6e, 0xa4, 0xe3, 0x96, 0x04, 0x6c, 0x50, 0xf5, 0xe9, 0x12, 0x62, + 0xf0, 0xe1, 0x4a, 0x53, 0xb5, 0xe7, 0xf6, 0xee, 0xec, 0x83, 0x44, 0xa9, 0xbd, 0xdf, 0x90, 0xf9, 0xc4, 0xfc, 0x5c, 0x14, 0x52, 0x68, 0x5e, 0x90, 0x87, 0x76, 0xa4, 0x54, 0xbf, 0x66, 0xa2, 0x62, + 0x2c, 0xd4, 0x36, 0xf7, 0xdd, 0x21, 0xea, 0xe8, 0x42, 0x44, 0x81, 0x81, 0xb8, 0x32, 0x0f, 0x87, 0xb1, 0x69, 0xf6, 0xa4, 0xc8, 0x03, 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0x50, 0x34, 0x20, 0x4d, 0xd4, 0x29, 0xed, 0x6b, 0x6c, 0x8a, 0x65, 0xfc, 0xbf, 0x74, 0x6d, 0xc4, 0x43, 0xbf, 0x8f, 0x14, 0x70, 0x78, 0xcb, 0xbb, 0xfe, 0x59, 0xab, 0x11, 0x41, + 0x96, 0x68, 0x61, 0xa0, 0xbe, 0x4e, 0x95, 0xd7, 0xba, 0x98, 0x6e, 0x3b, 0x1c, 0xdc, 0x54, 0xb0, 0x6f, 0xd0, 0x91, 0x9f, 0x7d, 0x14, 0x38, 0x4e, 0xcf, 0x6f, 0xdf, 0xec, 0xd0, 0x0a, 0x50, 0x05, + 0xbc, 0xba, 0x03, 0xc3, 0xbd, 0x70, 0x46, 0x12, 0x63, 0x29, 0x93, 0x81, 0xb2, 0xec, 0x69, 0xee, 0xd3, 0x0f, 0x85, 0x5b, 0xd8, 0x6b, 0x3c, 0x7c, 0x14, 0x8f, 0x85, 0x4d, 0x76, 0x11, 0x4f, 0x2f, + 0xc4, 0x95, 0xb5, 0xd7, 0x44, 0xef, 0xa5, 0x21, 0x3c, 0x9c, 0x4d, 0x1b, 0xd8, 0x28, 0xb8, 0x40, 0x2c, 0xc5, 0x41, 0x7c, 0x24, 0x7d, 0xb4, 0x36, 0x2a, 0x67, 0xf4, 0x69, 0xc3, 0xa3, 0xea, 0xbb, + 0xa6, 0x63, 0x3d, 0x4f, 0x34, 0xb4, 0x10, 0x4f, 0xab, 0x22, 0x9b, 0xc3, 0x72, 0x1a, 0x6d, 0xf6, 0x4c, 0xe6, 0xaf, 0x6d, 0xe8, 0x4a, 0x83, 0xd8, 0x59, 0xbd, 0x05, 0x3c, 0x62, 0x7b, 0x28, 0x49, + 0x25, 0x35, 0xed, 0x37, 0xe7, 0xd8, 0x4e, 0xce, 0x65, 0x5f, 0x0e, 0xbd, 0xe0, 0x90, 0xec, 0xca, 0x26, 0xa6, 0x13, 0x2a, 0x3f, 0x74, 0x7f, 0x07, 0x1f, 0x29, 0x42, 0x44, 0x51, 0x5a, 0x69, 0xba, + 0x02, 0x1f, 0x21, 0x4a, 0xbe, 0x32, 0x34, 0x66, 0x84, 0x89, 0x8a, 0xc7, 0xd2, 0xec, 0xf4, 0x2b, 0x2f, 0x57, 0x5a, 0x7c, 0x81, 0x8b, 0x8f, 0xcc, 0xd7, 0xf4, 0xf6, 0xff, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x07, 0x10, 0x15, 0x1f, 0x2d, +}; +static const uint8_t ML_DSA_65_sigver_17_msg[] = { + 0xd5, 0xce, 0xf8, 0x4f, 0x7a, 0x72, 0x34, 0xb8, 0x44, 0xdd, 0x16, 0xfe, 0x5f, 0x1e, 0x9d, 0xd7, 0x44, 0x95, 0x5d, 0x23, 0xe9, 0xef, 0x88, 0x18, 0xfa, 0xa1, 0x9a, 0xce, 0x0a, 0x9a, 0xb6, 0x39, + 0x28, 0x50, 0xc4, 0x8c, 0xda, 0xbe, 0x3f, 0xb1, 0x62, 0x5a, 0x57, 0xe3, 0x86, 0x10, 0xe8, 0x06, 0x04, 0xba, 0x1c, 0x01, 0x11, 0x2c, 0x43, 0x99, 0x5b, 0xd3, 0x0e, 0xba, 0x24, 0x96, 0x13, 0x9c, + 0xc1, 0x9d, 0x0f, 0x47, 0x24, 0xa1, 0x92, 0x61, 0x97, 0x6e, 0x50, 0x2c, 0x88, 0xe3, 0xeb, 0x08, 0x5b, 0xbe, 0x65, 0x1d, 0x36, 0x77, 0xd6, 0x37, 0x98, 0xe9, 0x2e, 0x6c, 0x20, 0xd6, 0x20, 0xb3, + 0x87, 0xe0, 0xc7, 0x71, 0x19, 0x43, 0xc4, 0x6a, 0xd7, 0x53, 0x78, 0xe8, 0x64, 0xdb, 0x82, 0x89, 0x3f, 0x2e, 0x90, 0x44, 0x49, 0x9b, 0x7c, 0x89, 0x0e, 0x28, 0x8a, 0xe9, 0x0b, 0x69, 0xb4, 0x0e, +}; +static const uint8_t ML_DSA_65_sigver_17_sig[] = { + 0x41, 0xa4, 0x6d, 0x25, 0xac, 0x11, 0xdf, 0xc0, 0xc8, 0xda, 0x30, 0xd7, 0xcd, 0x9a, 0xe3, 0x7a, 0x9e, 0x2e, 0xc5, 0x64, 0xaf, 0x48, 0xc0, 0x2c, 0x8f, 0x97, 0xc1, 0x07, 0x04, 0xdc, 0xfa, 0x79, + 0x1f, 0x7a, 0x53, 0xee, 0xfd, 0x62, 0x6b, 0x65, 0x86, 0xc7, 0x5c, 0x7b, 0x50, 0x1e, 0xf5, 0x48, 0x69, 0x28, 0xea, 0xb6, 0x6b, 0xb7, 0x33, 0xe0, 0x7e, 0x17, 0x6d, 0xe5, 0x6f, 0x8e, 0x64, 0xd1, + 0x0e, 0xc6, 0x8a, 0x83, 0x11, 0x05, 0x7b, 0x6f, 0x85, 0x8c, 0x22, 0xcc, 0xe4, 0xa5, 0x66, 0x12, 0x98, 0xd7, 0xea, 0x48, 0x52, 0x8d, 0x52, 0x07, 0xf2, 0x65, 0x90, 0x10, 0xa9, 0x41, 0x22, 0x51, + 0x93, 0x00, 0x62, 0x7c, 0xe5, 0xd0, 0xf7, 0xdd, 0xf0, 0xa9, 0x10, 0x15, 0x39, 0xa0, 0xd2, 0x1a, 0x15, 0x11, 0x7b, 0xaa, 0x14, 0x62, 0x1d, 0x5c, 0x96, 0x07, 0xb0, 0xdf, 0xfc, 0x4f, 0xf8, 0x7c, + 0x98, 0x1a, 0x1b, 0xaa, 0xcb, 0x2d, 0x26, 0x96, 0xf6, 0xa7, 0xa9, 0x35, 0x41, 0xd7, 0x1f, 0x20, 0xd8, 0xfc, 0x9c, 0x4d, 0x4b, 0xf3, 0x08, 0x5a, 0x05, 0x0b, 0x47, 0x3a, 0x45, 0xb8, 0xcc, 0x10, + 0x17, 0x54, 0x43, 0x53, 0x84, 0x71, 0x3a, 0x7f, 0xf6, 0x22, 0xc2, 0xcf, 0x23, 0x31, 0x71, 0x91, 0x2d, 0xe7, 0x48, 0x70, 0xa0, 0x73, 0xdd, 0xfb, 0x31, 0xb2, 0x1f, 0xf3, 0xda, 0x4d, 0x10, 0xf8, + 0xcc, 0x02, 0xff, 0x8e, 0x36, 0x3d, 0x44, 0x10, 0x1d, 0x26, 0x34, 0xd5, 0x10, 0xe7, 0x45, 0x2c, 0x32, 0x75, 0x5f, 0x73, 0x9a, 0xe6, 0xb4, 0x27, 0xa8, 0x10, 0x81, 0x35, 0x0b, 0x47, 0x6a, 0x4a, + 0xa1, 0x91, 0x93, 0xa9, 0xa0, 0x48, 0xd5, 0x03, 0xcf, 0x99, 0x18, 0xc3, 0xb7, 0x12, 0xbc, 0xf2, 0x63, 0x73, 0x22, 0x55, 0x0b, 0x85, 0x4e, 0x82, 0x06, 0x1f, 0xfa, 0x93, 0x1c, 0xc0, 0xd6, 0x94, + 0x7b, 0x96, 0xc8, 0x03, 0x76, 0x4c, 0xcf, 0x15, 0xe9, 0x68, 0x33, 0x5f, 0x0e, 0xcd, 0x5c, 0x8a, 0x25, 0xc4, 0x41, 0x21, 0x03, 0x01, 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0x9a, 0x68, 0x47, 0x92, 0x03, + 0x64, 0xf8, 0x35, 0xb3, 0x55, 0x15, 0xff, 0xeb, 0xfe, 0xf2, 0x1a, 0xb7, 0x2b, 0x95, 0x88, 0x06, 0x61, 0x3e, 0x3b, 0xdf, 0xc9, 0x8a, 0x82, 0xe2, 0xb2, 0x76, 0xac, 0xe2, 0x71, 0xef, 0xa4, 0x19, + 0x05, 0x61, 0x4d, 0x9c, 0xea, 0xb0, 0x0d, 0xab, 0xeb, 0x19, 0x22, 0xe0, 0xfb, 0x47, 0x5f, 0xd5, 0xbd, 0x2c, 0x42, 0x34, 0x28, 0x45, 0xc3, 0x6a, 0x73, 0xbf, 0x42, 0xae, 0x17, 0xdd, 0xd8, 0x67, + 0x36, 0x28, 0x29, 0xd8, 0xf8, 0x9f, 0x4b, 0x48, 0x87, 0x55, 0x8e, 0x7b, 0xb1, 0x23, 0xb0, 0x02, 0x25, 0xf4, 0x2e, 0x1e, 0x8e, 0x37, 0xa7, 0x77, 0x3d, 0x00, 0x00, 0x0c, 0xf9, 0x67, 0xd6, 0x9b, + 0x75, 0xc8, 0x66, 0x8f, 0xad, 0x82, 0xc6, 0xf6, 0x32, 0x59, 0x14, 0xda, 0xf9, 0x58, 0x34, 0x9c, 0x7d, 0x5e, 0x05, 0xda, 0xaa, 0xbf, 0x60, 0x4a, 0x24, 0xce, 0x93, 0xc6, 0x72, 0xab, 0xfd, 0x65, + 0x20, 0xf9, 0xf7, 0xc6, 0x87, 0xae, 0x01, 0xdd, 0x3d, 0x91, 0xf0, 0x8a, 0x4d, 0xf2, 0x99, 0xa9, 0xde, 0x3e, 0x01, 0xe2, 0xb6, 0xb8, 0x0f, 0xbf, 0xe8, 0x87, 0x0a, 0x3f, 0x49, 0x28, 0x35, 0x98, 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0x5f, 0x88, 0xf9, 0x15, 0x26, 0x2c, 0x30, 0x5c, 0x66, 0x6a, 0x88, 0xa7, 0xaf, 0xbc, 0xc4, 0xea, 0x15, 0x41, 0xc4, + 0xea, 0xec, 0x54, 0x59, 0x5b, 0xc0, 0xef, 0xfe, 0x1c, 0x86, 0x95, 0x97, 0xb7, 0xbe, 0xd9, 0x23, 0x27, 0x83, 0x95, 0x17, 0x20, 0x43, 0x65, 0x70, 0xc7, 0xf8, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0d, 0x12, 0x18, 0x1f, 0x23, 0x2a, +}; +static const uint8_t ML_DSA_65_sigver_18_msg[] = { + 0x32, 0x2a, 0x8d, 0xd0, 0x7a, 0x5c, 0x30, 0xe8, 0x69, 0x6f, 0xd2, 0xa1, 0x1c, 0xbe, 0x14, 0xdb, 0x92, 0x74, 0x5c, 0x95, 0x8e, 0xd0, 0x7b, 0x35, 0x33, 0xe8, 0xff, 0x57, 0x5b, 0xc0, 0x56, 0xa2, + 0x6e, 0x83, 0xd6, 0x81, 0xfd, 0x6f, 0xdd, 0x89, 0x33, 0xb1, 0x69, 0x2b, 0x62, 0x74, 0x85, 0x1d, 0x0b, 0x41, 0xff, 0xa4, 0xbe, 0x76, 0x0e, 0x08, 0xac, 0x8b, 0x40, 0x58, 0xe5, 0x63, 0x9a, 0xd2, + 0x9b, 0x35, 0x16, 0xa2, 0xdb, 0x1f, 0x1c, 0x92, 0x19, 0x1a, 0x0c, 0x9d, 0xd9, 0x27, 0xc1, 0x73, 0x40, 0xe5, 0xbb, 0xf5, 0x93, 0xf2, 0xd7, 0x84, 0x26, 0xb2, 0xa1, 0x1a, 0x02, 0xf6, 0xa3, 0x3f, + 0x4e, 0x42, 0x53, 0x24, 0xe8, 0xc5, 0x02, 0xc6, 0x36, 0x93, 0x97, 0x95, 0xfb, 0x35, 0xbb, 0x4d, 0xa6, 0x42, 0x4e, 0x89, 0xa3, 0xe8, 0x15, 0xee, 0x59, 0xfe, 0x68, 0xde, 0xe6, 0x53, 0x25, 0xb0, +}; +static const uint8_t ML_DSA_65_sigver_18_sig[] = { + 0x5a, 0xba, 0xe2, 0x81, 0xa1, 0x5a, 0xbe, 0x7a, 0x3c, 0x0b, 0xe5, 0x53, 0xf4, 0x06, 0xb6, 0xf0, 0xc5, 0x76, 0x09, 0x00, 0x97, 0x62, 0x21, 0xb0, 0x83, 0x1d, 0xec, 0x6f, 0x14, 0x4a, 0xcb, 0x42, + 0x6b, 0x3a, 0x62, 0x52, 0xd5, 0x17, 0xc1, 0xc5, 0x92, 0xa5, 0xa9, 0xfd, 0xf5, 0x76, 0xc3, 0x8b, 0x7b, 0x89, 0x60, 0xe7, 0x81, 0x20, 0x13, 0x46, 0xea, 0x99, 0xad, 0x5e, 0x52, 0x93, 0x7e, 0x3c, + 0xfb, 0xeb, 0xbb, 0x40, 0xf0, 0xe2, 0x9c, 0x17, 0x39, 0x6a, 0x80, 0x8e, 0xd5, 0x8f, 0x80, 0x33, 0xc7, 0xb4, 0xba, 0xee, 0x68, 0xa3, 0xc7, 0x81, 0x1f, 0x43, 0xde, 0x3c, 0x18, 0xe0, 0x2a, 0x38, + 0xea, 0x07, 0x1e, 0x04, 0x3f, 0x81, 0x1a, 0x95, 0x80, 0x2b, 0x06, 0xa3, 0x7b, 0xcc, 0xed, 0x50, 0x53, 0x81, 0x3d, 0x47, 0x7a, 0xd6, 0x0d, 0xf5, 0xa3, 0xa5, 0xe2, 0x3d, 0x44, 0x21, 0x53, 0xe8, + 0xf8, 0xdf, 0xc2, 0x45, 0x74, 0x16, 0x80, 0x44, 0x0c, 0xff, 0xbd, 0x36, 0x4a, 0x02, 0x25, 0x97, 0x8d, 0xed, 0x96, 0x5e, 0xac, 0xea, 0x57, 0x6b, 0x0c, 0x48, 0x25, 0x68, 0x09, 0x3e, 0xd4, 0x78, + 0x1f, 0x48, 0xce, 0x48, 0x93, 0xbe, 0x76, 0x3a, 0x36, 0xd7, 0xbf, 0x72, 0x6c, 0x3d, 0xc8, 0x13, 0x06, 0xe7, 0x4a, 0x1e, 0x62, 0x61, 0xc0, 0x45, 0xf0, 0x6e, 0x99, 0x01, 0x69, 0x44, 0x2a, 0x81, + 0xb7, 0x97, 0xe2, 0xf0, 0xc4, 0x0e, 0x91, 0x75, 0x04, 0x42, 0x5e, 0x4e, 0x6d, 0x97, 0x15, 0x96, 0xfd, 0x1c, 0x76, 0x04, 0x58, 0x46, 0x15, 0x60, 0xf0, 0x2b, 0x21, 0x49, 0xea, 0x1a, 0x8b, 0x9c, + 0x28, 0x40, 0xc5, 0x85, 0x79, 0xec, 0x0a, 0x97, 0x3b, 0x46, 0xc9, 0x3c, 0x71, 0xfb, 0xb3, 0xba, 0x7e, 0xa3, 0x1b, 0x97, 0x03, 0xe6, 0xe9, 0x08, 0xfa, 0x0f, 0xc0, 0x1e, 0x9f, 0xa0, 0x0f, 0x84, + 0x7a, 0x10, 0x23, 0xb0, 0x06, 0x76, 0x7b, 0xf9, 0x78, 0x3e, 0x91, 0xf5, 0xf3, 0x71, 0x25, 0xd3, 0x6e, 0x2c, 0x84, 0x44, 0xac, 0x34, 0x0f, 0x7b, 0x21, 0x74, 0xfd, 0x03, 0xc6, 0x6f, 0x18, 0x82, + 0x72, 0xea, 0x4e, 0x74, 0xe6, 0xdb, 0x0c, 0xfa, 0x18, 0xd5, 0xb2, 0xa6, 0x3d, 0xe1, 0x7c, 0x7f, 0x53, 0xf8, 0x41, 0x8b, 0xef, 0x35, 0x1f, 0x36, 0x57, 0x70, 0x99, 0xe1, 0x65, 0xde, 0x01, 0xf8, + 0xc3, 0x02, 0xb3, 0xdb, 0xb9, 0x87, 0x77, 0x9c, 0xdc, 0x65, 0x86, 0xb8, 0xda, 0xe2, 0x0a, 0x24, 0x50, 0x62, 0x4e, 0xe0, 0x05, 0x05, 0x2e, 0xd9, 0x5e, 0x4c, 0x12, 0xa2, 0xca, 0xf1, 0xfe, 0x20, + 0xa4, 0x3f, 0x72, 0x76, 0xba, 0xd0, 0x38, 0x22, 0x2c, 0x35, 0xf9, 0x30, 0xd7, 0xeb, 0x1b, 0xf3, 0x17, 0x2e, 0x53, 0x07, 0x0d, 0x42, 0x4a, 0xf8, 0x4e, 0xb4, 0xec, 0x16, 0x78, 0xdc, 0xff, 0x2b, + 0x43, 0x1c, 0x5f, 0xc7, 0xd1, 0x6c, 0x47, 0x11, 0xcf, 0x19, 0xe6, 0x14, 0x04, 0x55, 0xe5, 0x26, 0x10, 0x5f, 0x17, 0x4a, 0x16, 0xd3, 0x73, 0x3f, 0xf9, 0x1f, 0xc8, 0x1a, 0x5e, 0x92, 0xc6, 0xa9, + 0x16, 0xf4, 0xd8, 0xf9, 0xe2, 0xf3, 0x34, 0xda, 0xe8, 0x80, 0x4e, 0x68, 0x2b, 0x53, 0x17, 0x66, 0x0e, 0xee, 0xd9, 0xe8, 0xf9, 0xc8, 0xc4, 0xe0, 0xb0, 0xc0, 0x7e, 0x0b, 0xc4, 0xab, 0x19, 0x3c, + 0x1a, 0x47, 0x50, 0x1a, 0x59, 0x82, 0x59, 0x2f, 0x57, 0x28, 0x9f, 0xe5, 0xc9, 0x19, 0xbc, 0x66, 0xa8, 0x61, 0x42, 0x93, 0x54, 0xaa, 0xfd, 0x66, 0xba, 0xdd, 0x3f, 0x38, 0x76, 0x72, 0x7b, 0xba, + 0x48, 0x98, 0xbe, 0xee, 0xb6, 0xad, 0x7e, 0x58, 0x52, 0x49, 0x3d, 0xa2, 0x96, 0x88, 0xd4, 0xf4, 0x80, 0x39, 0x8e, 0x75, 0xef, 0xde, 0x41, 0x9d, 0x9e, 0xde, 0x15, 0xff, 0xce, 0xa1, 0xbc, 0x5c, + 0x81, 0x83, 0xe0, 0x17, 0xb9, 0xf9, 0x73, 0xe6, 0xd7, 0x7c, 0xf7, 0x3b, 0x6e, 0xed, 0x2b, 0xdd, 0xe8, 0x21, 0x37, 0x90, 0x2d, 0xeb, 0x9a, 0x25, 0x8b, 0xe6, 0xd2, 0x17, 0xb9, 0xde, 0x7a, 0x08, + 0xef, 0x00, 0x18, 0xe1, 0x16, 0xf9, 0x84, 0x40, 0xf6, 0x9d, 0x62, 0x8b, 0xd1, 0x27, 0xae, 0xe4, 0x47, 0xa1, 0x7a, 0xb8, 0xff, 0xea, 0x11, 0x9a, 0x3e, 0x69, 0xa1, 0x1d, 0xe6, 0x7b, 0x15, 0xaa, + 0x6f, 0x9a, 0xb6, 0x35, 0x00, 0xeb, 0x37, 0x64, 0xac, 0xaf, 0xb4, 0x65, 0x06, 0x89, 0x77, 0x21, 0x5d, 0x8e, 0x31, 0x05, 0x05, 0xb5, 0x62, 0x2c, 0x34, 0x71, 0xee, 0xfe, 0xe5, 0x4c, 0xfe, 0xd8, + 0xbd, 0x73, 0x0d, 0xf2, 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0xa0, 0xcd, 0xf9, 0xa9, 0xe0, 0xef, 0x43, 0x85, 0xcb, 0x59, 0x1f, 0xdd, 0x8d, 0x64, 0xb5, 0x87, 0xef, 0xfb, 0x90, 0xdf, 0xf3, 0xa1, 0xcf, 0x2c, 0x05, 0x1e, 0xe9, 0x4c, 0x36, + 0x90, 0x4c, 0xf3, 0x2a, 0x6b, 0xe6, 0xd5, 0x1d, 0x33, 0xe4, 0x45, 0xb4, 0x87, 0x66, 0x67, 0x7e, 0x24, 0x38, 0x6e, 0xe1, 0xf7, 0x79, 0xcb, 0x7f, 0xf5, 0x82, 0xfb, 0x54, 0xad, 0xdf, 0x9b, 0x90, + 0x8c, 0x83, 0xb0, 0xa3, 0xb7, 0xcd, 0x7f, 0x39, 0x3c, 0xa4, 0x94, 0x40, 0xa0, 0x62, 0xad, 0x6e, 0x79, 0xb4, 0xb7, 0x8d, 0x30, 0xef, 0x43, 0xe1, 0x57, 0xd9, 0x69, 0x2a, 0x67, 0x36, 0x50, 0xa9, + 0x93, 0xc4, 0x32, 0x0f, 0xb2, 0x04, 0x68, 0xa2, 0x3a, 0xbd, 0x33, 0x36, 0x21, 0xf4, 0x10, 0x4e, 0xd0, 0xf4, 0xff, 0x07, 0xa3, 0x0a, 0xba, 0xda, 0x4d, 0xb3, 0xfd, 0xda, 0xe7, 0xc2, 0x7b, 0x39, + 0x63, 0x57, 0x34, 0xeb, 0x60, 0xc0, 0xb0, 0x6e, 0xb6, 0x4d, 0x4f, 0x29, 0x65, 0xb3, 0x57, 0x7d, 0x0f, 0x86, 0xb3, 0xb3, 0x33, 0x1f, 0xd9, 0xd2, 0xbc, 0x74, 0xf2, 0xad, 0xfe, 0x39, 0x2c, 0x9e, + 0x7a, 0x19, 0x1a, 0x40, 0x09, 0x75, 0x5d, 0x98, 0x8d, 0x8b, 0x47, 0x95, 0x05, 0x8a, 0x3a, 0x87, 0xf9, 0xb4, 0xd0, 0xb8, 0xb2, 0xfa, 0x64, 0x9f, 0x41, 0xf6, 0x8d, 0x7a, 0x3a, 0x3f, 0x97, 0x36, + 0xb6, 0xac, 0x16, 0x4e, 0x5a, 0x93, 0x7a, 0xfc, 0x7f, 0x66, 0xf2, 0x8e, 0x69, 0x08, 0x33, 0x7e, 0xba, 0xf7, 0x8d, 0x31, 0x8d, 0x46, 0x98, 0x9d, 0x01, 0x23, 0xcc, 0x45, 0xbd, 0x27, 0x43, 0x21, + 0xa1, 0x00, 0x5f, 0x11, 0x5c, 0xd4, 0x7e, 0xb1, 0x83, 0x9c, 0x03, 0x2f, 0xca, 0xc6, 0x23, 0x7f, 0x01, 0x3a, 0x8f, 0xd5, 0x21, 0x4a, 0x87, 0x61, 0x12, 0x53, 0xb0, 0x5b, 0x28, 0x52, 0xbd, 0xa8, + 0x5e, 0x8b, 0x16, 0x43, 0xe7, 0x6b, 0xa5, 0xef, 0x2c, 0x45, 0x0f, 0xab, 0x48, 0x4c, 0x05, 0x25, 0xb4, 0xb3, 0x13, 0x77, 0x17, 0x0a, 0x7d, 0xbe, 0x4c, 0x86, 0x0c, 0xd6, 0x11, 0x64, 0x5c, 0xcd, + 0x45, 0x10, 0xbf, 0x27, 0x45, 0x70, 0x5d, 0x9b, 0x1a, 0x01, 0x6c, 0x84, 0x78, 0x74, 0xa2, 0xf8, 0xcd, 0x7a, 0x16, 0x9e, 0x2b, 0xc0, 0xf7, 0x28, 0x15, 0x56, 0xf0, 0xf3, 0x26, 0xcb, 0x0b, 0x08, + 0x4d, 0xdb, 0x23, 0x07, 0x26, 0x35, 0x5a, 0xa6, 0xc2, 0x46, 0x4e, 0xbd, 0x1e, 0xa6, 0x55, 0x8e, 0x09, 0x94, 0x2c, 0x39, 0x3d, 0x98, 0xff, 0x4d, 0x1d, 0x9f, 0xae, 0x91, 0x99, 0xd3, 0x29, 0x41, + 0xe0, 0xcf, 0xa9, 0xb9, 0xbe, 0x40, 0x6d, 0xcf, 0x09, 0x62, 0x87, 0x82, 0x84, 0x4a, 0xa8, 0x41, 0xaf, 0x27, 0x4e, 0x86, 0x00, 0xa1, 0x46, 0x3a, 0x5b, 0x92, 0x50, 0xd8, 0x0e, 0xfb, 0xfe, 0x83, + 0x5d, 0xf6, 0xc7, 0xe5, 0xe3, 0xdf, 0x29, 0x06, 0x55, 0x6f, 0x1e, 0x0b, 0x85, 0x41, 0xeb, 0xc9, 0x3b, 0xf6, 0xcf, 0xfc, 0x8c, 0xcc, 0xa6, 0xda, 0xc6, 0xe6, 0xb2, 0x93, 0x5c, 0xce, 0x34, 0x20, + 0x5e, 0x9a, 0xfb, 0xd5, 0x8c, 0xc1, 0xd9, 0x67, 0x3a, 0x1a, 0xd7, 0x6a, 0xc6, 0x9b, 0x5c, 0x99, 0x70, 0xff, 0x5f, 0x4e, 0x7f, 0x51, 0x91, 0x25, 0x0b, 0x7c, 0x48, 0x3e, 0x94, 0xdb, 0x54, 0xaa, + 0x5b, 0xf6, 0xf5, 0xd5, 0x81, 0x6e, 0xdf, 0xad, 0x19, 0x2f, 0x5e, 0xc2, 0xed, 0x89, 0x3b, 0xa7, 0xdd, 0xc8, 0x81, 0x50, 0x2b, 0xe0, 0xe9, 0x60, 0x8a, 0x5f, 0xb3, 0xf3, 0x0c, 0xf1, 0x5d, 0x2b, + 0xa2, 0x3e, 0x3c, 0xa5, 0x74, 0x0c, 0xd4, 0x26, 0x76, 0x24, 0x68, 0xfd, 0xb3, 0x87, 0xd4, 0xe5, 0x4d, 0x6f, 0x83, 0xac, 0xb0, 0xb7, 0xec, 0xed, 0x00, 0x35, 0x24, 0x3a, 0x8c, 0x8d, 0x9a, 0x9f, + 0xa1, 0xc1, 0x05, 0x6e, 0x76, 0x79, 0x08, 0x11, 0x6e, 0x95, 0x0e, 0x23, 0x52, 0x5d, 0x7d, 0xb2, 0xb5, 0xed, 0xf1, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x08, 0x0a, 0x12, 0x16, 0x1a, 0x23, +}; +static const uint8_t ML_DSA_65_sigver_19_msg[] = { + 0xc2, 0x3c, 0xe9, 0x09, 0x6b, 0x49, 0xb3, 0xb1, 0x6c, 0x60, 0x12, 0x64, 0xd8, 0x10, 0x0a, 0xbf, 0xde, 0x74, 0x5d, 0x21, 0xe8, 0xd5, 0x4b, 0x1d, 0x49, 0x34, 0xbe, 0xe8, 0xfe, 0xbe, 0x6d, 0x84, + 0x56, 0x1e, 0x9a, 0xef, 0x47, 0x00, 0x12, 0xe1, 0x25, 0x14, 0xca, 0xd4, 0x8b, 0x15, 0xb7, 0x09, 0xb0, 0xbe, 0x18, 0x34, 0xc2, 0x74, 0x71, 0x5d, 0x2b, 0x30, 0x09, 0x7e, 0x2b, 0xd8, 0xc5, 0x37, + 0x35, 0x9e, 0x7a, 0x90, 0x19, 0xba, 0x7e, 0xf6, 0xa9, 0x1f, 0x95, 0x59, 0x33, 0x77, 0x4e, 0x52, 0xb2, 0xe9, 0xc1, 0xc4, 0xf6, 0xa3, 0x22, 0xd0, 0xaf, 0xb4, 0xaa, 0xc5, 0xf6, 0xbb, 0x01, 0xba, + 0x6d, 0xfe, 0x4c, 0xda, 0x68, 0x69, 0xf3, 0x71, 0x83, 0x0e, 0xd8, 0xe4, 0x44, 0x20, 0x12, 0xd5, 0xf6, 0xff, 0x3a, 0x2c, 0x92, 0x33, 0x36, 0x82, 0x78, 0xe2, 0xfa, 0x0c, 0x2c, 0x01, 0x04, 0x81, +}; +static const uint8_t ML_DSA_65_sigver_19_sig[] = { + 0xd2, 0x6c, 0x78, 0x9a, 0xc9, 0xf1, 0x92, 0x90, 0x2a, 0xf9, 0x65, 0xac, 0x03, 0x81, 0x5a, 0xc0, 0x1f, 0xc9, 0x46, 0x34, 0xd9, 0xd8, 0xa5, 0x9f, 0xe7, 0xab, 0x58, 0x4f, 0x02, 0x4f, 0x37, 0xeb, + 0x23, 0xd1, 0x28, 0xfd, 0xbf, 0xf8, 0xb8, 0x8c, 0xf7, 0x8a, 0x0b, 0x3a, 0x9b, 0x3b, 0x65, 0xa3, 0x61, 0x53, 0x26, 0xa5, 0xc5, 0x7e, 0x9c, 0xb6, 0xe0, 0xe7, 0x85, 0xb9, 0xbf, 0xe7, 0x1f, 0xd9, + 0x9c, 0xb9, 0x2f, 0x4b, 0x13, 0xf3, 0x30, 0x1c, 0xf5, 0xfa, 0x92, 0xe1, 0x6f, 0x23, 0x52, 0xf7, 0x09, 0x9a, 0x34, 0x09, 0xc8, 0x7f, 0xa2, 0x40, 0xa9, 0xb4, 0x64, 0x1e, 0x1d, 0x4b, 0xfe, 0xf0, + 0x0f, 0x0a, 0x6b, 0xf7, 0x16, 0x00, 0xe8, 0x6e, 0xe2, 0x05, 0x2a, 0x25, 0xf4, 0x42, 0x5c, 0x64, 0x1d, 0x53, 0xb4, 0x1d, 0x2d, 0x95, 0x27, 0xc0, 0x6d, 0xac, 0xc2, 0xe4, 0x04, 0x53, 0x59, 0x19, + 0xcc, 0x98, 0x79, 0x02, 0x2a, 0x44, 0x36, 0x01, 0x3a, 0xc8, 0x2c, 0x9b, 0x6a, 0x6f, 0x4c, 0x94, 0x9d, 0x41, 0xa5, 0x11, 0x47, 0x49, 0x76, 0x4a, 0x65, 0xfa, 0x49, 0x0a, 0x62, 0x00, 0x12, 0xe4, + 0xe5, 0xf7, 0x50, 0xf5, 0x0e, 0x2d, 0x38, 0x1b, 0xd0, 0x92, 0x1f, 0xef, 0x3e, 0x90, 0x0d, 0xbb, 0x64, 0xee, 0x32, 0xd2, 0x0a, 0x85, 0x21, 0x28, 0x7e, 0x9c, 0x5b, 0x38, 0xc4, 0x87, 0x59, 0x30, + 0xc3, 0xa6, 0xe4, 0xcd, 0x92, 0x37, 0xcd, 0x7c, 0x3a, 0xe8, 0x09, 0x99, 0xa7, 0x35, 0x66, 0xea, 0x5f, 0xaf, 0x10, 0x28, 0x82, 0x4f, 0xd8, 0xf5, 0x58, 0x3e, 0x14, 0x9f, 0x8e, 0xc0, 0x81, 0x64, + 0xf1, 0xed, 0xec, 0x85, 0x59, 0xba, 0x29, 0x87, 0x13, 0x08, 0xa4, 0x1d, 0x5a, 0x12, 0x70, 0xc8, 0xc7, 0xdd, 0x54, 0x25, 0xc2, 0xf8, 0xce, 0xf4, 0xff, 0x10, 0x1f, 0xfb, 0x2e, 0x77, 0xc9, 0x6b, + 0xb4, 0xec, 0x02, 0xac, 0x94, 0xd7, 0xca, 0xcb, 0xd3, 0xd7, 0x0f, 0x6b, 0x54, 0x0a, 0x23, 0xf5, 0x57, 0x7f, 0xb0, 0xc3, 0xd4, 0x0a, 0xde, 0x3d, 0xc9, 0x29, 0x39, 0x7e, 0xfa, 0x7f, 0xc4, 0xbc, + 0x52, 0x22, 0x20, 0xc4, 0x79, 0x5a, 0x6e, 0x28, 0xe0, 0xc8, 0x76, 0xa1, 0x8f, 0x3c, 0x26, 0x07, 0xf6, 0xf9, 0xc7, 0x44, 0x2c, 0xd8, 0xcf, 0xe9, 0x89, 0x86, 0x95, 0x4b, 0xc8, 0x39, 0xad, 0x48, + 0x39, 0x07, 0x97, 0x49, 0x84, 0x13, 0x59, 0x48, 0xa6, 0x8b, 0xa5, 0x7c, 0xd1, 0x27, 0x36, 0x7d, 0xef, 0x3d, 0x03, 0x8d, 0xc6, 0x81, 0x1a, 0x52, 0x8f, 0x51, 0x6f, 0x5c, 0x7b, 0xd8, 0xf3, 0xfe, + 0x6c, 0x42, 0xee, 0x77, 0x81, 0x2a, 0x5e, 0x97, 0xd1, 0x31, 0xfc, 0xbc, 0xc8, 0xfb, 0xd1, 0x53, 0x18, 0x2d, 0x24, 0xfe, 0xdb, 0x3b, 0x2c, 0xd1, 0xdf, 0xe5, 0xac, 0xe5, 0x9c, 0x67, 0xf8, 0x1a, + 0x45, 0xc7, 0xc5, 0x81, 0x02, 0xe9, 0x42, 0xa8, 0xf8, 0xda, 0x73, 0xd5, 0xb9, 0xb9, 0x91, 0x2d, 0x70, 0xf9, 0xd8, 0x1c, 0x42, 0x3e, 0x50, 0xf6, 0x28, 0x97, 0x40, 0xed, 0xbb, 0x66, 0x87, 0x1e, + 0xd8, 0xb9, 0xf4, 0xa7, 0xe2, 0xce, 0x2b, 0x61, 0x17, 0x5e, 0xdd, 0xa2, 0xf8, 0xf9, 0x2a, 0x9a, 0x12, 0x3c, 0xc9, 0x4a, 0xbc, 0xc5, 0x62, 0x9a, 0x44, 0xcc, 0x0f, 0xb1, 0x0f, 0xc0, 0xb6, 0x23, + 0x1b, 0x5a, 0xa9, 0x60, 0x7e, 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0x74, 0xfc, 0xb5, 0x64, 0xd3, 0x9b, 0x62, 0x64, 0x53, 0xe5, 0xf8, 0x95, 0x18, + 0xdd, 0xde, 0x57, 0x8d, 0x7c, 0x10, 0x13, 0x71, 0x7a, 0xce, 0x1a, 0x3d, 0x30, 0x14, 0x13, 0x1c, 0x04, 0x14, 0x04, 0x5b, 0x91, 0x78, 0xeb, 0xe3, 0xf5, 0x25, 0xc2, 0xd2, 0x2e, 0x19, 0x7b, 0x14, + 0xd6, 0xfc, 0xd8, 0x8f, 0x11, 0x10, 0x7b, 0x9b, 0x16, 0x1f, 0xb1, 0x19, 0x72, 0xd9, 0x90, 0xb6, 0x38, 0xbf, 0x56, 0xc1, 0xd5, 0x17, 0xdb, 0xa8, 0xa2, 0xdd, 0xfa, 0x25, 0x7f, 0x37, 0xc4, 0xe6, + 0xb8, 0xda, 0x9c, 0x93, 0x59, 0x54, 0x1b, 0xdd, 0x9f, 0x19, 0x53, 0xd6, 0x59, 0x5b, 0x08, 0x20, 0x66, 0xbf, 0x71, 0x73, 0x9b, 0x6a, 0xaf, 0x76, 0x2e, 0x0a, 0x8e, 0xf2, 0x66, 0xda, 0x22, 0xbc, + 0xc5, 0x9e, 0xa8, 0x0f, 0x62, 0x39, 0xeb, 0xfb, 0x3a, 0xb5, 0x3d, 0x1e, 0x67, 0x71, 0xdb, 0xe3, 0xbe, 0xd9, 0x74, 0x3e, 0x15, 0xc4, 0xb4, 0xf9, 0xc3, 0xae, 0x72, 0x31, 0xae, 0x1d, 0x37, 0xb2, + 0x3f, 0x41, 0x69, 0x68, 0x83, 0xbc, 0x57, 0x72, 0x6e, 0xa5, 0xd3, 0x19, 0xb4, 0x8c, 0xff, 0xe1, 0x8c, 0xa3, 0xac, 0xb9, 0xdd, 0x1d, 0x46, 0x77, 0xb4, 0xb9, 0x3b, 0x7e, 0x87, 0x8d, 0xab, 0xb5, + 0xc5, 0x00, 0x01, 0x29, 0x5a, 0x6e, 0x78, 0x81, 0xac, 0xdb, 0x47, 0x63, 0x77, 0xb0, 0xc4, 0xc5, 0xf4, 0x1d, 0x2b, 0x2c, 0x32, 0x79, 0x90, 0xb4, 0xfd, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05, 0x0a, 0x11, 0x1a, 0x21, 0x29, +}; +static const uint8_t ML_DSA_65_sigver_20_msg[] = { + 0xc4, 0xf5, 0x9f, 0xa2, 0xde, 0x30, 0xc8, 0x42, 0x0a, 0x7e, 0x7f, 0x09, 0x6b, 0xaf, 0x6a, 0xd6, 0x9b, 0x1c, 0x15, 0xa5, 0xc6, 0xe6, 0x1c, 0x9d, 0x82, 0xaf, 0xcf, 0xdb, 0x6e, 0xb8, 0xf2, 0x75, + 0xbf, 0x57, 0x87, 0x18, 0x6a, 0xae, 0x78, 0x1f, 0x48, 0x7f, 0x9f, 0x88, 0x75, 0x8c, 0x9c, 0x61, 0xf3, 0x5d, 0x50, 0x83, 0xee, 0x70, 0x42, 0x4b, 0x0d, 0x0a, 0x51, 0x57, 0x50, 0x10, 0xc2, 0xa9, + 0x07, 0xf4, 0x96, 0x08, 0x11, 0x5d, 0x33, 0xeb, 0xa0, 0x03, 0x15, 0x09, 0x32, 0x2a, 0xa7, 0xd3, 0x06, 0x1f, 0xec, 0x31, 0x62, 0xf9, 0x6a, 0x56, 0x5f, 0x98, 0x76, 0x9e, 0x9a, 0x19, 0x23, 0x5d, + 0x89, 0xd1, 0xb2, 0x1d, 0x60, 0xa3, 0x81, 0xdf, 0x8e, 0xb3, 0x7d, 0x58, 0xc6, 0xa2, 0xe4, 0x83, 0xa8, 0xeb, 0x70, 0x73, 0x6e, 0x4b, 0x7b, 0xb9, 0x11, 0xf7, 0xab, 0x92, 0x3d, 0xc2, 0x9f, 0x1e, +}; +static const uint8_t ML_DSA_65_sigver_20_sig[] = { + 0xe8, 0x95, 0xdb, 0x64, 0xc5, 0x7b, 0xc3, 0xc2, 0xa9, 0x7f, 0x0e, 0xc9, 0x33, 0x41, 0x0e, 0x98, 0xf6, 0x21, 0x61, 0x03, 0xe3, 0x42, 0x3c, 0xaf, 0x06, 0xa6, 0x71, 0x96, 0x4c, 0x51, 0x4a, 0x69, + 0x4e, 0xb6, 0xf6, 0x5c, 0xbd, 0x11, 0x37, 0xcc, 0xcf, 0x88, 0x81, 0xfa, 0x40, 0x3c, 0x5f, 0xa0, 0xe0, 0xb2, 0xf3, 0x6b, 0x9f, 0x40, 0x09, 0xc3, 0x78, 0x21, 0x0d, 0x29, 0xe5, 0x4a, 0x7a, 0x5a, + 0x9b, 0x79, 0x31, 0x97, 0xcd, 0x6d, 0x2f, 0x38, 0xd7, 0xe1, 0xf3, 0xac, 0xa6, 0x9d, 0x48, 0x88, 0x13, 0x89, 0x38, 0x1c, 0x89, 0xfa, 0x67, 0x6d, 0xe4, 0x26, 0xd6, 0x34, 0xf9, 0xa1, 0x57, 0x05, + 0x5f, 0x17, 0x28, 0x3e, 0xce, 0x82, 0x48, 0xca, 0xf1, 0x4d, 0xcf, 0x11, 0xe2, 0xd5, 0x63, 0x55, 0xb0, 0x47, 0xdf, 0x63, 0x2a, 0x18, 0x48, 0x2e, 0x79, 0xcb, 0x2d, 0x5a, 0x74, 0x39, 0x66, 0xba, + 0xa8, 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0xce, 0xe1, + 0x0a, 0x18, 0x19, 0x53, 0x54, 0x7f, 0x8b, 0xe3, 0x28, 0x72, 0x0a, 0x4a, 0x5a, 0x82, 0x90, 0xb5, 0xee, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x06, 0x0b, 0x10, 0x18, 0x1a, 0x21, +}; +static const uint8_t ML_DSA_65_sigver_21_msg[] = { + 0xc1, 0xe6, 0x65, 0xbf, 0x7b, 0x8b, 0xd0, 0x19, 0x8f, 0x06, 0x9c, 0xa1, 0x7e, 0xfc, 0x55, 0xb7, 0xeb, 0xbf, 0x9c, 0xc9, 0xd4, 0x11, 0x40, 0xbd, 0xd0, 0xb8, 0x3a, 0xa0, 0x80, 0x62, 0xff, 0xc7, + 0x17, 0xd3, 0xf6, 0xc2, 0x2d, 0xf3, 0x8e, 0xef, 0xaa, 0x6e, 0xec, 0x91, 0x76, 0x0c, 0xae, 0x0b, 0x3d, 0xfe, 0xab, 0x78, 0xb0, 0x3a, 0x7a, 0xb7, 0xa9, 0x93, 0xb2, 0x09, 0x7b, 0x7b, 0x88, 0x7b, + 0x98, 0x12, 0xae, 0x2d, 0x08, 0x92, 0xb6, 0x96, 0x37, 0x4c, 0x03, 0x4f, 0xc9, 0xe9, 0x50, 0x83, 0xc2, 0xb6, 0x1b, 0x09, 0xde, 0x97, 0xd9, 0xc5, 0x00, 0xfe, 0x55, 0xe4, 0x89, 0xc5, 0x3c, 0xae, + 0xbd, 0xb5, 0x7b, 0xc6, 0x90, 0x71, 0xc1, 0x58, 0x08, 0x89, 0x0f, 0x8a, 0x00, 0x7b, 0xb5, 0xfe, 0x77, 0x3c, 0xcf, 0xb7, 0x29, 0x46, 0x31, 0x13, 0xd9, 0x3e, 0x9e, 0xc9, 0xea, 0xbe, 0x20, 0x47, +}; +static const uint8_t ML_DSA_65_sigver_21_sig[] = { + 0x05, 0x1f, 0x8a, 0x9a, 0x5d, 0xc6, 0xd3, 0x5b, 0x14, 0x85, 0x28, 0x83, 0x59, 0xf8, 0x18, 0xde, 0xb0, 0x27, 0xe1, 0x23, 0x1d, 0xa8, 0xc0, 0x48, 0xe7, 0x9e, 0x9f, 0xe2, 0x28, 0xaa, 0x0e, 0x9f, + 0x1c, 0x0b, 0x7f, 0x4c, 0x57, 0x3b, 0x5d, 0xb8, 0xcc, 0xae, 0xbb, 0xae, 0x8e, 0xe3, 0x8d, 0x8f, 0xae, 0xfd, 0x3b, 0x8e, 0x77, 0x30, 0xbd, 0xc0, 0xe9, 0xde, 0x36, 0x5b, 0x20, 0xe5, 0xa0, 0xf9, + 0x63, 0x5a, 0x0b, 0x39, 0xc7, 0xc0, 0xd6, 0x16, 0x3b, 0x78, 0x76, 0xec, 0xc6, 0xab, 0xcd, 0x8a, 0x5f, 0x60, 0x8e, 0x72, 0x53, 0x53, 0x7c, 0x1c, 0x94, 0xc2, 0x09, 0xc8, 0x44, 0x8e, 0x02, 0x80, + 0x6b, 0x2b, 0x5e, 0xaf, 0xae, 0x24, 0x83, 0x17, 0x0b, 0x4e, 0x44, 0x50, 0x38, 0x0c, 0x2a, 0x87, 0xa5, 0x1f, 0x82, 0xb1, 0x79, 0xee, 0x0f, 0x46, 0x50, 0x94, 0x04, 0xa3, 0xa9, 0xbd, 0x74, 0xd0, + 0x4b, 0xd7, 0x56, 0x35, 0xb7, 0x97, 0xb5, 0x00, 0xf6, 0x56, 0xac, 0xae, 0x5d, 0xd7, 0x6b, 0x04, 0x74, 0x17, 0x92, 0x11, 0x25, 0x79, 0xe2, 0x40, 0x81, 0xa6, 0xc8, 0x8b, 0xf4, 0x98, 0x13, 0x46, + 0xe2, 0xb3, 0xd3, 0x82, 0x91, 0x02, 0x6d, 0x3a, 0xe4, 0x7b, 0xda, 0x50, 0xab, 0x0b, 0x23, 0xb0, 0x88, 0x11, 0x48, 0x48, 0x9c, 0xbd, 0x05, 0x7c, 0xde, 0x9a, 0x4f, 0x6f, 0xf1, 0x08, 0xb7, 0xec, + 0xce, 0xa4, 0x4d, 0x59, 0x9c, 0xe3, 0xad, 0xed, 0x82, 0xae, 0x0e, 0x8f, 0x74, 0xdb, 0x7d, 0x60, 0x41, 0x61, 0xc8, 0x66, 0x4b, 0x73, 0x89, 0x49, 0x7e, 0xc9, 0xf3, 0x5c, 0x46, 0xfe, 0xc0, 0x64, + 0xbb, 0x86, 0x7e, 0x86, 0x7e, 0x93, 0x09, 0xc1, 0x0f, 0xbc, 0x07, 0xbd, 0x5e, 0x7b, 0x8a, 0x74, 0xbb, 0xeb, 0xc1, 0xbd, 0x0e, 0x4a, 0x9b, 0x36, 0xef, 0xe2, 0x97, 0xe9, 0xf2, 0xd2, 0x3d, 0xe3, + 0x2e, 0xd7, 0x04, 0xea, 0xa3, 0x77, 0xf5, 0xc3, 0xbc, 0x4b, 0xab, 0xcc, 0xad, 0x5b, 0x4b, 0x6b, 0x9a, 0x13, 0x7f, 0x23, 0xc4, 0x6c, 0x04, 0x23, 0xab, 0xa3, 0xf1, 0xaf, 0xf0, 0x0c, 0x60, 0x71, + 0xcb, 0xa5, 0x1b, 0x7d, 0x0a, 0x8e, 0x67, 0x7f, 0x51, 0x38, 0xdb, 0x7c, 0x01, 0x3c, 0xae, 0xe1, 0xf6, 0x85, 0x01, 0x43, 0x0f, 0x0f, 0x44, 0x8a, 0xb2, 0x83, 0x69, 0x2a, 0x18, 0xd1, 0x5d, 0x8a, + 0x46, 0xba, 0x62, 0x0e, 0xa9, 0x06, 0xa3, 0x03, 0x25, 0x70, 0xa6, 0x59, 0xf5, 0x94, 0x23, 0x6f, 0x05, 0x12, 0x38, 0x9e, 0x1d, 0xe6, 0x3b, 0x8e, 0x40, 0xac, 0x22, 0xdb, 0x79, 0xde, 0x60, 0xcc, + 0xb9, 0xbc, 0xf0, 0xb2, 0x0e, 0xbe, 0xf6, 0x76, 0xa9, 0x1a, 0xab, 0xcd, 0x01, 0xd3, 0xaf, 0x88, 0x29, 0x31, 0xaf, 0xf8, 0xc8, 0x6a, 0x8c, 0x94, 0x6e, 0x09, 0xb8, 0xb5, 0xcf, 0xde, 0x62, 0xd5, + 0x3a, 0x03, 0xdf, 0x07, 0x16, 0x3b, 0x08, 0x1b, 0x29, 0x3e, 0xa0, 0x28, 0x7a, 0xeb, 0x97, 0xd1, 0x76, 0x2f, 0x34, 0x36, 0x1d, 0xde, 0x65, 0x4d, 0x40, 0x0d, 0xfa, 0xe5, 0xb3, 0x51, 0xd9, 0x07, + 0x42, 0xa0, 0xa2, 0x69, 0x86, 0x5d, 0x49, 0xc9, 0x22, 0x1d, 0xd8, 0x9e, 0x42, 0xff, 0xa6, 0x3e, 0xdd, 0xf4, 0x49, 0xb1, 0x04, 0x58, 0xcf, 0xe2, 0xea, 0x7e, 0x1a, 0x16, 0xbd, 0x22, 0xfe, 0x73, + 0xf2, 0x08, 0xb4, 0x47, 0x2d, 0xa8, 0x09, 0x4f, 0x28, 0xcb, 0x9d, 0xca, 0xed, 0x6e, 0x84, 0x3c, 0x57, 0xe9, 0xe3, 0x25, 0x8b, 0xea, 0xda, 0x48, 0xd7, 0x76, 0x1f, 0xde, 0x01, 0x04, 0xac, 0x6f, + 0x0c, 0xe0, 0x9f, 0x95, 0xe1, 0xf4, 0xaf, 0xf0, 0x05, 0x15, 0xac, 0x2e, 0x37, 0x03, 0xd2, 0xfc, 0x6d, 0x75, 0x7b, 0x12, 0xdf, 0xdc, 0x04, 0x4e, 0x85, 0x4e, 0x50, 0xff, 0x2d, 0x89, 0x79, 0x00, + 0xb0, 0xb5, 0x9b, 0xed, 0x90, 0xba, 0x42, 0x01, 0x69, 0x4e, 0x29, 0xe6, 0xa8, 0x30, 0xd8, 0x03, 0x9c, 0xd8, 0x35, 0xc7, 0x06, 0xef, 0x59, 0xe7, 0xa6, 0xb0, 0xac, 0xa7, 0xb7, 0xd0, 0xb4, 0x0d, + 0x26, 0x46, 0x61, 0x71, 0x1e, 0x03, 0x72, 0xba, 0xb7, 0x41, 0x0a, 0x74, 0x46, 0x0d, 0x07, 0xfa, 0x98, 0x8a, 0x86, 0x17, 0xd3, 0x10, 0x74, 0x95, 0x08, 0x38, 0x41, 0x10, 0x37, 0x30, 0x7b, 0x05, + 0x2f, 0xd5, 0x36, 0x82, 0x26, 0x08, 0xf9, 0xd1, 0x5b, 0xaa, 0x78, 0x0a, 0xfa, 0xe1, 0xa8, 0xd8, 0x7b, 0xf8, 0x44, 0xd3, 0xa4, 0xfb, 0x31, 0xa1, 0x76, 0xbb, 0xcb, 0xea, 0x46, 0xa7, 0x2b, 0xa9, + 0x90, 0xfc, 0xf8, 0x21, 0xac, 0x3a, 0x73, 0xac, 0xa0, 0x1e, 0x09, 0xa2, 0x0a, 0xb9, 0x3f, 0xc7, 0x37, 0xed, 0x4c, 0x4d, 0xc4, 0x82, 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0x85, + 0xf4, 0xeb, 0x9a, 0xb9, 0x3b, 0x6f, 0x10, 0xee, 0x0b, 0x24, 0x7d, 0x31, 0xf3, 0xd6, 0x2a, 0x85, 0xb9, 0x9c, 0x88, 0xcd, 0x3b, 0x19, 0xbb, 0x68, 0xe6, 0x9c, 0x51, 0xad, 0x5b, 0x0a, 0x8e, 0x9e, + 0x34, 0xed, 0x61, 0x1e, 0x24, 0xfe, 0x26, 0x44, 0xf1, 0x69, 0x7a, 0x8a, 0x11, 0xb6, 0x4b, 0x57, 0x8f, 0xee, 0x1c, 0x5c, 0xb3, 0x1a, 0x60, 0x5c, 0xd9, 0x87, 0xd7, 0x65, 0xfb, 0x68, 0xd8, 0x33, + 0xe4, 0xbe, 0x93, 0x58, 0xd8, 0x69, 0xf4, 0xde, 0x03, 0x62, 0xe6, 0x88, 0x9f, 0xbe, 0x8e, 0x95, 0xb8, 0x61, 0xe0, 0x78, 0xce, 0x6c, 0xf0, 0xff, 0x35, 0x76, 0x8a, 0xd4, 0x98, 0x03, 0xa7, 0x1e, + 0x8d, 0xc6, 0x02, 0x96, 0x03, 0x2e, 0x50, 0xa9, 0xd0, 0xa4, 0xe6, 0x4a, 0x3d, 0x46, 0x61, 0xe7, 0xc5, 0x5d, 0xaf, 0xc6, 0xfd, 0xd1, 0xb1, 0x8e, 0xb1, 0x00, 0x3d, 0x29, 0x0b, 0xe4, 0x86, 0xc5, + 0x20, 0xa2, 0xf8, 0xf0, 0xef, 0xc1, 0xcd, 0x2c, 0xef, 0xbf, 0x7e, 0x24, 0x59, 0xcc, 0x7b, 0xa8, 0x86, 0x95, 0xd1, 0x12, 0x2a, 0x74, 0x94, 0xa3, 0xa4, 0x1c, 0x32, 0x9e, 0xed, 0x2a, 0x8c, 0xd2, + 0x28, 0x2a, 0x60, 0x7f, 0x93, 0xa2, 0xb7, 0xda, 0xdf, 0x0f, 0x32, 0x41, 0x4c, 0x6b, 0xa9, 0xbe, 0xc0, 0xcb, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03, 0x09, 0x0d, 0x10, 0x19, 0x22, +}; +static const uint8_t ML_DSA_65_sigver_22_msg[] = { + 0x91, 0x30, 0xd4, 0x13, 0xad, 0x0f, 0x37, 0x09, 0x25, 0xa8, 0xf3, 0xa7, 0x80, 0x63, 0x19, 0x7f, 0x17, 0xc7, 0xa7, 0x77, 0xcd, 0x30, 0x4f, 0x31, 0xef, 0x59, 0x25, 0xe5, 0x5a, 0xe5, 0x20, 0x87, + 0x02, 0xfd, 0x41, 0xcc, 0xfb, 0x65, 0xd2, 0xd2, 0x2b, 0x2d, 0x69, 0x86, 0xb1, 0x28, 0x8e, 0x0e, 0x45, 0xc7, 0x05, 0x3b, 0x9b, 0x3c, 0x08, 0xd2, 0xfd, 0xd0, 0x78, 0x80, 0xe1, 0x62, 0x37, 0x8f, + 0x2e, 0xa4, 0xcf, 0x0f, 0x71, 0x5e, 0x46, 0x1d, 0x03, 0x42, 0xb3, 0xd5, 0x02, 0x4c, 0x01, 0x68, 0xd9, 0x07, 0x48, 0x91, 0x74, 0x4e, 0x2b, 0xd2, 0x0c, 0xb3, 0x2b, 0x42, 0x82, 0xd5, 0x15, 0xde, + 0x03, 0x6c, 0xd2, 0xb2, 0x90, 0x68, 0x15, 0x8d, 0x59, 0x7a, 0x8a, 0xc7, 0x0e, 0x14, 0x85, 0x28, 0x12, 0xfb, 0x56, 0xf6, 0x41, 0x3a, 0xfc, 0x01, 0x57, 0x60, 0x77, 0x87, 0xec, 0x9f, 0x97, 0x8c, +}; +static const uint8_t ML_DSA_65_sigver_22_sig[] = { + 0xbe, 0x9d, 0x4f, 0xcd, 0x5e, 0x8b, 0xca, 0xf5, 0xb1, 0xce, 0x72, 0xe9, 0x24, 0xf2, 0x36, 0x01, 0x72, 0x58, 0xf6, 0x2b, 0x9a, 0xb8, 0x85, 0x5f, 0xc6, 0x14, 0xa1, 0xbf, 0x12, 0xd0, 0x96, 0x1d, + 0x78, 0x38, 0x77, 0xb4, 0x7a, 0xed, 0xd9, 0x85, 0x7f, 0x9f, 0xf7, 0x9f, 0xb2, 0x36, 0xba, 0x15, 0xf1, 0x70, 0xae, 0x26, 0x03, 0xa2, 0xbf, 0x76, 0xf3, 0xcc, 0xb1, 0x32, 0xdb, 0x76, 0x2b, 0x95, + 0x85, 0x4b, 0xbd, 0x41, 0x26, 0x62, 0x5a, 0x2a, 0x87, 0xac, 0x57, 0xcb, 0x0b, 0x18, 0xa5, 0xd4, 0x32, 0x1f, 0x76, 0x06, 0x82, 0x97, 0x93, 0xba, 0x8d, 0x95, 0x93, 0x26, 0xe7, 0x17, 0xc6, 0xe6, + 0xf7, 0xf4, 0x54, 0x79, 0x15, 0x14, 0xc4, 0x15, 0x98, 0xbd, 0x4a, 0x3d, 0x27, 0x5a, 0x0d, 0x4b, 0x44, 0x24, 0xaa, 0xcc, 0x97, 0xf9, 0xb2, 0x76, 0x54, 0x83, 0xed, 0x2d, 0x77, 0xa1, 0x3c, 0xfc, + 0xa1, 0x70, 0xe9, 0x29, 0x28, 0x12, 0xf1, 0x27, 0x17, 0x1a, 0x5e, 0xee, 0x16, 0xcf, 0xbe, 0x43, 0xa2, 0x51, 0x3b, 0x08, 0xe4, 0x91, 0xa4, 0xf1, 0x19, 0xc3, 0x34, 0x11, 0x66, 0x2b, 0xe6, 0x6f, + 0xbc, 0xd2, 0xc0, 0x99, 0x91, 0x6d, 0x5d, 0x7c, 0x34, 0x62, 0x71, 0x76, 0x45, 0x48, 0xc6, 0x69, 0xb7, 0x49, 0x9c, 0x59, 0x72, 0xd8, 0x61, 0xbe, 0x96, 0x07, 0x6a, 0x2c, 0x5f, 0xb9, 0xb4, 0x31, + 0x2f, 0xa2, 0xdf, 0xb5, 0x8d, 0x0c, 0xbb, 0x02, 0xd8, 0xc2, 0x9c, 0x13, 0x1d, 0xed, 0x78, 0xcf, 0x9c, 0xde, 0x95, 0xd0, 0x08, 0x8e, 0xd8, 0x81, 0x7e, 0xc6, 0x42, 0x0f, 0x6f, 0xab, 0x90, 0x6d, + 0x33, 0xf2, 0x94, 0x23, 0xbc, 0xf4, 0xe1, 0x56, 0xab, 0xc4, 0xf6, 0x54, 0x17, 0x35, 0x3f, 0x24, 0x93, 0x8e, 0x6e, 0xf4, 0x0d, 0x7c, 0xde, 0x48, 0x2d, 0x25, 0x8a, 0x55, 0xd2, 0x2a, 0xed, 0xdd, + 0xe2, 0x39, 0xb2, 0x56, 0xaf, 0xb9, 0xf1, 0xf1, 0x53, 0x7c, 0x9f, 0x22, 0x0d, 0x6a, 0x4f, 0x9d, 0xb6, 0x74, 0x83, 0x18, 0xb0, 0x20, 0xfd, 0x42, 0x6e, 0x3a, 0x84, 0x26, 0x9a, 0x8c, 0xc3, 0xb9, + 0x8c, 0x0a, 0x4d, 0x68, 0xa1, 0x93, 0x85, 0xb7, 0x4d, 0xbf, 0x62, 0x08, 0xdd, 0xc2, 0x37, 0xe1, 0x7d, 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0x49, + 0x66, 0x8e, 0xf1, 0x35, 0xe2, 0x3b, 0xb3, 0x76, 0xbb, 0x53, 0x66, 0x2e, 0xc0, 0x44, 0x36, 0x02, 0x4a, 0x7b, 0x83, 0x98, 0x8f, 0xc0, 0xd3, 0xe8, 0x4f, 0x18, 0x3e, 0xa7, 0x34, 0x1f, 0x9f, 0x29, + 0xa9, 0x53, 0x3a, 0xfe, 0xc1, 0x3d, 0x47, 0x7a, 0x82, 0xd3, 0xcd, 0x3e, 0x18, 0x80, 0xe3, 0x5a, 0xde, 0x1e, 0xd3, 0x74, 0xa6, 0x05, 0x22, 0xf4, 0x6e, 0x99, 0xc6, 0x85, 0x1f, 0xe9, 0x3a, 0x8a, + 0x65, 0x07, 0x79, 0x2c, 0x0b, 0x6a, 0x78, 0x66, 0xcd, 0x29, 0x13, 0x86, 0x3b, 0x10, 0xa9, 0x16, 0xd7, 0xda, 0x42, 0xc6, 0x07, 0x6a, 0xea, 0x3f, 0x8e, 0xe7, 0xd9, 0xe9, 0x50, 0x0b, 0xf1, 0x5d, + 0x5f, 0x49, 0xb6, 0x2c, 0x60, 0xe2, 0x6f, 0x9f, 0x10, 0xb7, 0x9d, 0x40, 0x9d, 0x9f, 0x0f, 0x1a, 0xa8, 0x89, 0x73, 0x59, 0x8c, 0xa1, 0x86, 0x87, 0x7b, 0x8b, 0xe7, 0x01, 0xca, 0x8f, 0x1d, 0x65, + 0xa3, 0x27, 0x5c, 0x1c, 0x6a, 0x14, 0xd6, 0x04, 0x75, 0x69, 0xe4, 0x5d, 0xb8, 0x83, 0x73, 0x13, 0xd6, 0x5f, 0x77, 0x5b, 0x2b, 0x85, 0xae, 0x34, 0xe3, 0x00, 0xac, 0x93, 0x82, 0x0e, 0xda, 0xe9, + 0x34, 0x04, 0x3c, 0xb6, 0xf1, 0x95, 0xb9, 0x5f, 0xeb, 0x67, 0xec, 0x98, 0x7a, 0xf7, 0xc4, 0xcf, 0x94, 0x99, 0x01, 0x7c, 0x19, 0x94, 0x57, 0xc4, 0xb2, 0xd6, 0xa9, 0x52, 0x83, 0xa5, 0x50, 0xd6, + 0x88, 0x06, 0x24, 0x77, 0x36, 0x83, 0x62, 0xe8, 0xc1, 0xc5, 0x84, 0x13, 0xbb, 0x95, 0x74, 0x52, 0xab, 0x3b, 0x87, 0xa6, 0x8b, 0x6d, 0xbe, 0x54, 0xba, 0x58, 0x89, 0x03, 0xba, 0xa1, 0x5d, 0x75, + 0xf1, 0xcc, 0xba, 0x28, 0x29, 0x66, 0x4f, 0xf6, 0x1a, 0xd8, 0xcc, 0x3a, 0x9c, 0x53, 0x2d, 0x9e, 0x70, 0xf0, 0x76, 0xd4, 0x17, 0x83, 0x8b, 0x81, 0x7f, 0x76, 0x97, 0x93, 0x45, 0xa8, 0xb5, 0x98, + 0x8d, 0x2b, 0x19, 0x90, 0xa5, 0xcc, 0xfe, 0x31, 0xb1, 0x2c, 0x50, 0x52, 0xac, 0x8c, 0x1d, 0x7a, 0x61, 0x04, 0x58, 0xf5, 0x94, 0xd3, 0x71, 0xad, 0xbe, 0xfb, 0xd4, 0x85, 0xc9, 0x30, 0x5a, 0xff, + 0xbe, 0x95, 0x58, 0xf0, 0x8b, 0x13, 0x2f, 0x88, 0x0b, 0x5f, 0xf1, 0x51, 0xe7, 0x98, 0x10, 0x6b, 0x00, 0x17, 0x25, 0x69, 0x7b, 0xcb, 0x11, 0x23, 0x50, 0x51, 0x60, 0x72, 0x8c, 0x94, 0x9a, 0x9c, + 0xb3, 0xd0, 0xfe, 0x34, 0x38, 0x42, 0x87, 0xa1, 0xab, 0xb5, 0xe0, 0xe9, 0x24, 0x29, 0x47, 0x58, 0xde, 0x49, 0x87, 0x9d, 0xca, 0xf2, 0xfa, 0x5b, 0x68, 0x85, 0x93, 0x95, 0x96, 0x99, 0xbf, 0xc1, + 0xc2, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x06, 0x13, 0x1c, 0x21, 0x27, 0x31, +}; +static const uint8_t ML_DSA_65_sigver_23_msg[] = { + 0xba, 0x59, 0xdb, 0x4a, 0xc8, 0xd2, 0xdc, 0xaa, 0x13, 0x90, 0xf6, 0xe0, 0x50, 0x1a, 0x5c, 0x81, 0xa6, 0x8b, 0x91, 0xb6, 0x6d, 0x1b, 0xef, 0x88, 0xf0, 0x9e, 0x91, 0x11, 0xf1, 0x17, 0x33, 0xd9, + 0x4c, 0x09, 0x06, 0xa9, 0x98, 0xb8, 0x8e, 0x49, 0xac, 0x90, 0xe8, 0xb3, 0x79, 0x0d, 0xcb, 0xec, 0x51, 0xe3, 0xc1, 0xce, 0xc5, 0xc1, 0x6a, 0xc1, 0x03, 0x73, 0x03, 0x56, 0x1b, 0x89, 0x3b, 0xfc, + 0x44, 0x70, 0xed, 0x1b, 0x07, 0xae, 0x65, 0x68, 0x5a, 0x57, 0x77, 0xd8, 0xdc, 0xf3, 0xfc, 0xf4, 0xf5, 0xac, 0x9a, 0x2d, 0x14, 0x77, 0x49, 0x39, 0x25, 0x0e, 0x58, 0xfd, 0x21, 0xe8, 0xa0, 0x24, + 0x68, 0xc5, 0xa6, 0x76, 0x01, 0xc0, 0x99, 0xec, 0x11, 0xd5, 0x46, 0x0f, 0xfb, 0x8f, 0xd0, 0x5b, 0x71, 0x24, 0x3f, 0xbc, 0xad, 0xa4, 0xc1, 0xea, 0xe6, 0xee, 0xdc, 0xa0, 0x9a, 0x76, 0x3e, 0xa0, +}; +static const uint8_t ML_DSA_65_sigver_23_sig[] = { + 0x93, 0xa3, 0x53, 0x83, 0x93, 0x08, 0x34, 0x07, 0xcc, 0xb6, 0xac, 0x0a, 0xf8, 0x64, 0x69, 0xaa, 0x48, 0x91, 0x5c, 0xf8, 0x69, 0xb8, 0x0e, 0xae, 0xe9, 0xba, 0xb4, 0x1d, 0x5a, 0x07, 0xdb, 0x4a, + 0x88, 0x55, 0xfa, 0x49, 0xe9, 0x67, 0x0a, 0xb7, 0xa6, 0x00, 0x78, 0xe4, 0xd4, 0xe7, 0x20, 0x18, 0xaf, 0x92, 0xcf, 0xce, 0x91, 0xf3, 0x85, 0xdc, 0x45, 0x00, 0xaa, 0xb1, 0x56, 0x38, 0xc9, 0xf7, + 0x01, 0x20, 0x0d, 0x8e, 0x46, 0x33, 0x38, 0xfe, 0x27, 0xae, 0x7c, 0xa5, 0x3f, 0xdc, 0x65, 0xd7, 0x91, 0x23, 0xd7, 0x26, 0x96, 0xba, 0x0a, 0xbf, 0x3f, 0xb7, 0x35, 0x8e, 0x4b, 0xcc, 0xfa, 0x76, + 0x5d, 0xcd, 0x62, 0xd5, 0x4a, 0x78, 0x74, 0x44, 0x1d, 0x3e, 0x0b, 0x1b, 0x84, 0x5a, 0xc8, 0x62, 0x8b, 0x3d, 0xeb, 0xae, 0x88, 0xc6, 0xf4, 0xd6, 0x12, 0x3e, 0x32, 0x08, 0x6b, 0xc4, 0xad, 0x7d, + 0xf0, 0x32, 0xc7, 0x8f, 0xd9, 0xc6, 0x81, 0x07, 0xa7, 0x3d, 0x20, 0x00, 0xd2, 0x61, 0x4c, 0x9a, 0x43, 0x2f, 0xcd, 0x18, 0x85, 0xe1, 0x4b, 0xaa, 0x46, 0x7e, 0x99, 0x3d, 0xcb, 0xcc, 0xe5, 0xdb, + 0xd1, 0xf4, 0x78, 0x53, 0x0a, 0x0f, 0x24, 0x9f, 0xb8, 0xbd, 0xe3, 0x39, 0xe1, 0x6d, 0xe6, 0xbd, 0xe7, 0x31, 0x6b, 0xe3, 0x7f, 0x6b, 0x75, 0x34, 0xa3, 0xff, 0x6e, 0xc5, 0x1e, 0x82, 0x83, 0x19, + 0x1f, 0x4a, 0x1c, 0xe9, 0x89, 0x46, 0x04, 0xef, 0xbe, 0x6c, 0xd3, 0xc6, 0xbd, 0xce, 0x78, 0x87, 0x66, 0x9d, 0x78, 0x48, 0xdb, 0x88, 0x76, 0x4a, 0xbb, 0x99, 0x70, 0x6e, 0x6f, 0x2e, 0xb0, 0x1d, + 0x13, 0x26, 0xdf, 0x02, 0xb6, 0x77, 0x2d, 0x0a, 0x82, 0x0e, 0x1f, 0x07, 0x8f, 0x20, 0x39, 0x93, 0xfd, 0x59, 0xb0, 0x37, 0x7e, 0xa7, 0x9b, 0x51, 0x96, 0xeb, 0x6c, 0x78, 0x61, 0x09, 0x0a, 0xb4, + 0x43, 0x52, 0xc8, 0x6a, 0x38, 0x1b, 0x6c, 0x36, 0xc8, 0xf3, 0x89, 0x76, 0x13, 0xa2, 0x99, 0xec, 0xc8, 0x74, 0x69, 0xae, 0xe0, 0xfb, 0xe4, 0x50, 0xb6, 0xc4, 0x29, 0x59, 0xed, 0x8a, 0x69, 0x66, + 0x44, 0xb5, 0xde, 0x09, 0x52, 0xed, 0xfc, 0x71, 0x46, 0x0e, 0xdb, 0x24, 0x18, 0x43, 0xdc, 0x32, 0xab, 0xef, 0x30, 0x8b, 0xa3, 0xa4, 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0x57, 0x7c, 0x86, 0x96, 0x04, 0x0b, 0x6e, 0xa8, 0xc7, 0xd4, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x08, 0x0d, 0x15, 0x1c, 0x21, 0x27, +}; +static const uint8_t ML_DSA_65_sigver_24_msg[] = { + 0x4e, 0x86, 0xe3, 0x8d, 0x9c, 0x01, 0xd9, 0xdb, 0xc6, 0xa4, 0xe1, 0x4d, 0x6c, 0x57, 0x07, 0x6f, 0x68, 0x04, 0xf8, 0x10, 0x21, 0x50, 0xd6, 0xd7, 0x44, 0xd7, 0x64, 0x4e, 0x57, 0xd8, 0xf1, 0xfb, + 0x21, 0xff, 0x10, 0x28, 0x0c, 0x07, 0xc1, 0x68, 0x32, 0xbe, 0x27, 0x0c, 0xab, 0x2e, 0x85, 0xfc, 0xd0, 0x1a, 0x72, 0xb4, 0xd9, 0x49, 0xda, 0x5f, 0xaf, 0xef, 0x95, 0x5d, 0x69, 0x0b, 0x99, 0xed, + 0xb1, 0x8d, 0x7c, 0xf2, 0x54, 0xd8, 0x89, 0xda, 0xb8, 0xd2, 0x59, 0xfc, 0xaf, 0x85, 0xc7, 0xd9, 0x35, 0xce, 0x5a, 0xf1, 0xc5, 0xa2, 0x88, 0x9d, 0xf1, 0x65, 0x00, 0x96, 0xe2, 0x79, 0x3a, 0x8c, + 0xba, 0xd6, 0x91, 0x72, 0x08, 0xba, 0xcb, 0x2b, 0x0c, 0x38, 0x56, 0x61, 0xe6, 0xcc, 0xc4, 0xaf, 0x85, 0x77, 0xd7, 0xa3, 0x97, 0x54, 0xc4, 0x43, 0xff, 0x84, 0xac, 0x1f, 0x03, 0x95, 0x12, 0x0f, +}; +static const uint8_t ML_DSA_65_sigver_24_sig[] = { + 0x44, 0x08, 0x9b, 0x2c, 0x3a, 0xad, 0x4a, 0x67, 0x44, 0x97, 0x0d, 0xc8, 0x43, 0x74, 0xb7, 0xa9, 0x7c, 0xcd, 0x12, 0x7a, 0x4f, 0x7a, 0xc0, 0x0c, 0xc3, 0xe5, 0x13, 0xff, 0xf8, 0x37, 0x7f, 0x45, + 0x7b, 0x64, 0xf2, 0x73, 0x97, 0x2e, 0x71, 0x51, 0x50, 0x6d, 0x15, 0xb3, 0x76, 0x03, 0x92, 0x2b, 0x00, 0xd8, 0xce, 0x35, 0xc5, 0x67, 0x5b, 0xa4, 0x3c, 0x70, 0xc2, 0x85, 0x64, 0x52, 0x92, 0x8b, + 0xec, 0x1c, 0x7c, 0xc8, 0x35, 0x18, 0x87, 0x19, 0x38, 0x9f, 0x6f, 0x3e, 0x35, 0xc1, 0x35, 0xde, 0x3c, 0x4d, 0x47, 0x86, 0x50, 0x4b, 0x45, 0x30, 0x95, 0x98, 0x40, 0x9c, 0xd5, 0xa0, 0x10, 0x71, + 0x69, 0xed, 0xe5, 0xfe, 0xc7, 0xa0, 0x43, 0x9c, 0xd3, 0xa8, 0xab, 0x1f, 0x19, 0x62, 0x50, 0x48, 0x36, 0x40, 0xc4, 0xb7, 0x96, 0x36, 0x20, 0xa6, 0x7d, 0x42, 0x1a, 0x4c, 0x9b, 0xc8, 0xf1, 0xf6, + 0x7c, 0x5f, 0xb3, 0x6b, 0x6b, 0x40, 0x5c, 0xda, 0xd5, 0xe7, 0x83, 0x20, 0xe7, 0x19, 0x51, 0x90, 0x8d, 0x0c, 0xe9, 0xd8, 0x00, 0x55, 0xda, 0x4f, 0x49, 0x9c, 0x67, 0xc5, 0x31, 0x63, 0x9b, 0xda, + 0x15, 0x35, 0xb9, 0xd4, 0x4a, 0x45, 0x0c, 0x63, 0x43, 0x0d, 0x43, 0x13, 0x9d, 0x54, 0xa9, 0x41, 0x18, 0x3c, 0xdd, 0x49, 0xcd, 0x60, 0x8f, 0x25, 0xe3, 0x7d, 0x01, 0x8c, 0x4a, 0x24, 0x77, 0xb2, + 0xe9, 0x77, 0x77, 0x9a, 0x1d, 0xab, 0x80, 0x75, 0xa5, 0x36, 0x27, 0x88, 0x55, 0xe5, 0x0b, 0xa4, 0xa1, 0x8f, 0xda, 0x14, 0xd1, 0xb8, 0xcb, 0xfe, 0x3d, 0x41, 0x4d, 0xbb, 0xe4, 0x2e, 0xd7, 0x9f, + 0x0e, 0xfc, 0x39, 0x3d, 0x3e, 0xd5, 0x96, 0x4f, 0xe6, 0xfb, 0xf2, 0xce, 0xc8, 0x7b, 0xd6, 0x93, 0xa7, 0xf9, 0x86, 0xa6, 0x98, 0x3e, 0xae, 0x7c, 0xc8, 0x44, 0x1e, 0x46, 0x16, 0x84, 0xbe, 0xd2, + 0xd1, 0x9c, 0xae, 0xc6, 0xcf, 0x65, 0xa9, 0xba, 0xaa, 0xdf, 0x13, 0x93, 0x4c, 0xf0, 0x2c, 0xde, 0xf9, 0xfe, 0x1c, 0xb8, 0xed, 0xbf, 0x74, 0x61, 0x69, 0x2c, 0x65, 0xbf, 0x71, 0x42, 0x1d, 0x85, + 0x81, 0x37, 0x52, 0xca, 0xd9, 0x28, 0x18, 0x81, 0xfe, 0xc4, 0x2d, 0x03, 0x1e, 0xb7, 0x91, 0xf2, 0x52, 0x1c, 0x23, 0x4c, 0xe0, 0x82, 0x18, 0x9d, 0x1e, 0xdf, 0x71, 0x8a, 0x9d, 0xb2, 0x82, 0x90, + 0xbf, 0x29, 0xfb, 0xdb, 0x6b, 0x08, 0xb5, 0x33, 0x58, 0x8e, 0x85, 0xd9, 0x87, 0x76, 0x69, 0xfd, 0x63, 0x64, 0x27, 0x6c, 0x0c, 0x0a, 0xc9, 0x37, 0x36, 0x45, 0xc6, 0x73, 0x4f, 0x77, 0xa5, 0x9b, + 0xa4, 0x41, 0xd7, 0x73, 0x8a, 0xef, 0xf2, 0x90, 0xea, 0xf2, 0x81, 0xd0, 0xcc, 0x7d, 0x6e, 0xf5, 0x13, 0x2e, 0x03, 0x32, 0xba, 0x47, 0x5c, 0x70, 0x72, 0xfa, 0x75, 0x0a, 0xb4, 0x60, 0x0a, 0xa2, + 0xf4, 0x5b, 0x00, 0xb5, 0x61, 0xae, 0xf2, 0xfd, 0x14, 0x52, 0x67, 0xf6, 0xcc, 0x53, 0xce, 0x3e, 0xf1, 0xd1, 0x29, 0x91, 0xac, 0x16, 0x24, 0x8b, 0xfc, 0xae, 0x69, 0x3c, 0xaf, 0xe1, 0xa5, 0xe1, + 0x97, 0x08, 0x06, 0xfe, 0xc9, 0xfc, 0x22, 0x9a, 0x65, 0x2d, 0x71, 0x50, 0x45, 0x7b, 0x05, 0x81, 0x26, 0xa3, 0x9b, 0x3c, 0xb6, 0x85, 0xfb, 0x24, 0xa2, 0x70, 0xf5, 0x2a, 0x5b, 0xd9, 0xba, 0xd7, + 0x21, 0x0c, 0xf6, 0x42, 0xae, 0xb0, 0x27, 0x6c, 0xec, 0xe6, 0x3a, 0x09, 0x9e, 0xe7, 0x68, 0xef, 0xaa, 0xa2, 0x9c, 0xd8, 0x33, 0x6e, 0xfd, 0x6b, 0x1a, 0x18, 0xb4, 0x5b, 0xfa, 0x07, 0x76, 0x9d, + 0x62, 0x89, 0xac, 0x0c, 0x0f, 0x1b, 0xd9, 0x87, 0xc9, 0x63, 0x6b, 0x10, 0xa7, 0x2e, 0xa1, 0x45, 0xcd, 0xbf, 0xa1, 0x3a, 0x42, 0x8e, 0xeb, 0x7e, 0xe0, 0x4c, 0x77, 0xeb, 0x13, 0x3c, 0x2b, 0x3b, + 0x7d, 0xc5, 0xf9, 0x94, 0x8d, 0x89, 0xa8, 0x07, 0x1e, 0xdd, 0x71, 0x77, 0x48, 0x8c, 0x0d, 0x75, 0xd4, 0x83, 0x1d, 0x58, 0x50, 0xc3, 0x83, 0x9d, 0x5e, 0xe1, 0x7a, 0x7a, 0x7d, 0xbd, 0xd7, 0xa4, + 0xeb, 0xd7, 0x52, 0x31, 0xeb, 0xe5, 0x24, 0x03, 0xa6, 0x5b, 0xfa, 0xe5, 0x35, 0xd2, 0xce, 0x4a, 0x2b, 0xe9, 0xd0, 0x6c, 0x7a, 0xe7, 0x8c, 0xe1, 0x1a, 0x2a, 0x29, 0x4f, 0xb4, 0x66, 0x4c, 0xc9, + 0xab, 0x62, 0xe3, 0x07, 0x16, 0x7a, 0x30, 0xcf, 0x49, 0xaf, 0x09, 0x81, 0x7a, 0x85, 0xc5, 0xc3, 0x02, 0xa2, 0x86, 0x04, 0xf9, 0x5b, 0xe3, 0x3e, 0xc0, 0x78, 0xa0, 0x0b, 0xf2, 0xed, 0x02, 0xd1, + 0x15, 0x2d, 0xd8, 0x6f, 0x90, 0xd3, 0xaf, 0x8b, 0x8d, 0x79, 0x5f, 0xe7, 0x0c, 0x9d, 0x45, 0x77, 0x50, 0x39, 0x2f, 0xfb, 0xf1, 0x5e, 0x5f, 0x5a, 0x57, 0xd7, 0x04, 0xbe, 0x8f, 0x1f, 0xb7, 0x96, + 0x4c, 0xe1, 0x1a, 0x4d, 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0x27, 0x2c, 0xf0, 0x16, 0x24, 0x36, 0xce, 0x47, 0xb9, 0x6d, 0x37, 0x90, 0x1f, 0x0c, 0xfd, 0x83, 0x5f, 0x33, 0xab, 0x57, 0xe1, 0x06, 0x5d, 0x8d, + 0x23, 0xaf, 0x79, 0xec, 0x09, 0x64, 0x69, 0xd0, 0xc7, 0xd9, 0xd7, 0x37, 0x7b, 0x57, 0xf3, 0x5d, 0x5b, 0x05, 0xab, 0x51, 0x8b, 0x74, 0xdc, 0x27, 0x75, 0x4e, 0x79, 0x21, 0x3f, 0xda, 0x80, 0x97, + 0xf4, 0x55, 0xa1, 0xd1, 0x0a, 0x96, 0xc4, 0xbd, 0x07, 0x85, 0xc8, 0x62, 0x6b, 0x77, 0xfe, 0x3f, 0x58, 0x17, 0x77, 0x3b, 0x0f, 0x0c, 0x7d, 0x68, 0xfe, 0x7d, 0xef, 0x38, 0x99, 0xcb, 0xea, 0x8d, + 0x1c, 0x01, 0x75, 0x91, 0xeb, 0x8f, 0x7b, 0xf2, 0x9a, 0x49, 0x82, 0x03, 0x12, 0x4b, 0x8b, 0xed, 0xa2, 0x98, 0xdc, 0x22, 0xd9, 0xda, 0xc2, 0x09, 0x2e, 0xe6, 0x40, 0x77, 0x38, 0x3f, 0x3e, 0x60, + 0x3d, 0x16, 0x51, 0xf8, 0x26, 0xf6, 0xb4, 0xe5, 0xe3, 0x8e, 0xf0, 0x1d, 0xef, 0xec, 0x91, 0xc6, 0x2e, 0xa2, 0x75, 0x2a, 0x75, 0x5b, 0x61, 0xff, 0x46, 0xb0, 0xf2, 0x1a, 0x3f, 0xfa, 0x79, 0xaa, + 0xe8, 0x0a, 0x72, 0xa7, 0x7c, 0xb1, 0x80, 0x5a, 0x35, 0x5a, 0xfc, 0x75, 0x41, 0x18, 0x4c, 0x4d, 0xed, 0xf9, 0xb2, 0xb2, 0x7a, 0x28, 0xca, 0xbf, 0xd5, 0x1b, 0xa0, 0x17, 0x5b, 0x34, 0xa9, 0xaf, + 0xde, 0x50, 0xd9, 0x2b, 0x03, 0x2d, 0x74, 0xa2, 0x8b, 0x81, 0x07, 0x82, 0xde, 0xee, 0xbe, 0xba, 0xa9, 0xf6, 0x1b, 0xab, 0xf7, 0x67, 0x03, 0xee, 0x34, 0x59, 0x0b, 0x9f, 0x81, 0x66, 0x59, 0xd0, + 0x5d, 0x30, 0xb5, 0xfd, 0x20, 0x4b, 0x06, 0x09, 0xfb, 0x82, 0xc7, 0xd9, 0xc8, 0xc0, 0xb7, 0x12, 0x18, 0xe7, 0xf6, 0x2e, 0xb4, 0x20, 0x2a, 0xad, 0x79, 0x45, 0xdf, 0x4f, 0xdd, 0x15, 0x6c, 0x9f, + 0x3e, 0x92, 0x14, 0x21, 0x25, 0xf9, 0x05, 0x46, 0x44, 0xbe, 0xc0, 0xdf, 0xf1, 0x57, 0x0a, 0x63, 0x20, 0x98, 0xc9, 0xa1, 0x28, 0x1e, 0x8c, 0x92, 0x9e, 0xc7, 0x28, 0x24, 0xb7, 0xea, 0x0f, 0x0e, + 0xf0, 0x34, 0xae, 0xf0, 0x48, 0xba, 0x47, 0x48, 0x41, 0x19, 0xa5, 0x4d, 0x06, 0x91, 0x39, 0xa8, 0x12, 0x35, 0x3c, 0x43, 0x48, 0x59, 0xb5, 0xd2, 0x5b, 0x6c, 0x9b, 0xba, 0x01, 0x46, 0x75, 0xbe, + 0xbf, 0xd1, 0xd2, 0xdf, 0x17, 0x22, 0x26, 0x29, 0x4e, 0x85, 0x88, 0x8f, 0xd9, 0xdd, 0xfd, 0x11, 0x5d, 0x7b, 0x7e, 0x81, 0xb8, 0xbc, 0x0d, 0x16, 0x58, 0x6b, 0x6c, 0xbb, 0xc9, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x08, 0x0c, 0x14, 0x1f, 0x26, 0x2c, +}; +static const uint8_t ML_DSA_65_sigver_25_msg[] = { + 0x62, 0xc2, 0xa8, 0x5a, 0x6a, 0xe4, 0x00, 0x91, 0xae, 0x35, 0x06, 0x8e, 0xb3, 0xe5, 0xb5, 0x48, 0x03, 0xf4, 0x95, 0xd4, 0x9b, 0xc1, 0x77, 0xf7, 0xa2, 0x92, 0x82, 0xdf, 0x0c, 0x90, 0x0e, 0x86, + 0xf6, 0x61, 0x55, 0xb4, 0x02, 0x60, 0x64, 0xe7, 0xd6, 0xcf, 0x7a, 0x17, 0x1f, 0x8b, 0xbb, 0x33, 0x44, 0x92, 0x32, 0xeb, 0x5d, 0x7d, 0xb2, 0xb7, 0x76, 0xab, 0xba, 0xce, 0xcc, 0xd6, 0x60, 0x29, + 0x4c, 0x25, 0x19, 0x6e, 0x19, 0xfa, 0xda, 0x35, 0xe0, 0xf3, 0x52, 0x4d, 0x78, 0xed, 0xa2, 0x5d, 0x61, 0x4f, 0xb5, 0x6d, 0xba, 0x5b, 0xac, 0x10, 0xd0, 0x6e, 0xae, 0xdd, 0x96, 0x44, 0xda, 0x29, + 0x1d, 0xf3, 0x05, 0xc1, 0xe9, 0x1c, 0x82, 0xfa, 0x00, 0xec, 0x47, 0x0a, 0x8e, 0x82, 0x25, 0x25, 0x89, 0x51, 0x13, 0xa6, 0xff, 0x7d, 0x1d, 0x52, 0xe7, 0x03, 0x8b, 0x9c, 0xf4, 0xdb, 0x22, 0x27, +}; +static const uint8_t ML_DSA_65_sigver_25_sig[] = { + 0x9b, 0x82, 0x9a, 0x09, 0x3e, 0xc2, 0x53, 0xff, 0x3d, 0x95, 0x5e, 0xba, 0x3c, 0x0f, 0xda, 0x29, 0xcd, 0x14, 0x08, 0x9c, 0x6d, 0x69, 0x9f, 0x26, 0xfc, 0x62, 0xbc, 0xd4, 0x0f, 0x43, 0xd1, 0x58, + 0x2f, 0x2b, 0x69, 0x31, 0x38, 0xaa, 0xca, 0x59, 0xa1, 0x62, 0xce, 0xfb, 0xda, 0x63, 0x28, 0xf1, 0xbd, 0x67, 0x69, 0x0c, 0x63, 0xb9, 0x03, 0xf5, 0x06, 0x2d, 0xcd, 0xff, 0xa8, 0x40, 0xdc, 0x2d, + 0xfd, 0x40, 0x51, 0xf8, 0x2a, 0x55, 0x7f, 0xfd, 0xaa, 0xe8, 0xf4, 0xa4, 0xfb, 0x34, 0x0d, 0x6f, 0x4a, 0xf0, 0x3a, 0x19, 0xab, 0x92, 0x8f, 0x42, 0xdf, 0xd2, 0x9f, 0xf8, 0xd0, 0x28, 0x33, 0x3a, + 0x0c, 0x33, 0x6d, 0x25, 0x3c, 0x82, 0x61, 0x75, 0xc5, 0xa1, 0x94, 0xc0, 0x44, 0x1d, 0xac, 0x1c, 0x5a, 0x4c, 0x4a, 0x3e, 0x0b, 0x83, 0x94, 0xe4, 0x36, 0x78, 0xdc, 0x91, 0x5b, 0xc9, 0x86, 0x28, + 0xbf, 0x56, 0x5c, 0x9e, 0x75, 0x1b, 0xf9, 0x80, 0x1d, 0xd6, 0xad, 0x4a, 0x36, 0x21, 0xb5, 0x0c, 0x8d, 0xd1, 0x52, 0x0f, 0x0c, 0xfe, 0x47, 0x5f, 0x5b, 0xf8, 0x43, 0xdc, 0x25, 0x68, 0xb2, 0x63, + 0x97, 0x85, 0x87, 0x32, 0x2f, 0xd1, 0xd2, 0x70, 0x9e, 0xcd, 0x86, 0x9a, 0x77, 0xf0, 0x54, 0xc0, 0xa4, 0x5d, 0x46, 0x6d, 0x29, 0x7e, 0xd9, 0xb6, 0x3f, 0x10, 0x02, 0x08, 0x26, 0x83, 0x6f, 0x53, + 0x1a, 0x06, 0xdf, 0xbe, 0x20, 0xbf, 0xba, 0x0b, 0x3f, 0x20, 0x40, 0x33, 0x78, 0x3c, 0x55, 0x05, 0xbd, 0x82, 0xde, 0x73, 0x22, 0x04, 0x91, 0x7e, 0x3d, 0xa1, 0x23, 0x16, 0x55, 0x9d, 0x07, 0x36, + 0x66, 0x00, 0xcd, 0x18, 0xee, 0x2a, 0x32, 0x9a, 0xb3, 0xb2, 0x0b, 0xb0, 0xc9, 0xc6, 0x07, 0xd0, 0x66, 0x00, 0x44, 0xd2, 0xa9, 0xac, 0xc5, 0xd2, 0x58, 0x06, 0xf8, 0x9d, 0xfd, 0x58, 0x13, 0xc9, + 0xe5, 0x4e, 0x0c, 0xdf, 0xc1, 0x90, 0xa2, 0x06, 0x30, 0x0f, 0xbc, 0x8e, 0x25, 0x61, 0xbf, 0x3f, 0x23, 0xd0, 0x40, 0x52, 0x90, 0x2e, 0x49, 0xcd, 0x5d, 0xa5, 0x30, 0xa4, 0xd2, 0xbc, 0x2e, 0x5f, + 0x47, 0xee, 0x93, 0xd0, 0x58, 0x8a, 0xa6, 0x6e, 0xc8, 0xca, 0xfd, 0xd4, 0xb3, 0x53, 0xd7, 0x3b, 0x6c, 0x17, 0x65, 0x21, 0x14, 0x05, 0xc0, 0x80, 0xa6, 0x14, 0x12, 0x9c, 0xf9, 0x34, 0x6a, 0x15, + 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0x7b, 0x4d, 0x8a, 0x83, 0xdb, 0xa0, 0x7d, 0xb5, 0xd1, 0x6f, 0x96, 0xb5, 0x1a, 0x46, 0xb7, 0x71, 0x21, 0x3f, + 0xe8, 0x81, 0x0d, 0x53, 0xb1, 0xee, 0x68, 0xea, 0x8a, 0x2e, 0xf1, 0x87, 0x0d, 0xaa, 0x7e, 0x9c, 0xb8, 0x57, 0x0f, 0xa0, 0x4d, 0xf8, 0x17, 0xad, 0x58, 0xec, 0x65, 0x56, 0x92, 0x9a, 0xe4, 0x90, + 0xb0, 0x94, 0x63, 0xb6, 0x63, 0xd8, 0x99, 0xc0, 0xf0, 0x1c, 0x5a, 0x30, 0xe3, 0x19, 0x91, 0x81, 0x2f, 0x60, 0xa6, 0x86, 0x87, 0x7c, 0x25, 0x40, 0x84, 0xfa, 0x73, 0xc4, 0xe2, 0x8d, 0x82, 0x67, + 0xe4, 0x3f, 0xc8, 0x73, 0xba, 0xc3, 0x2a, 0x2e, 0xef, 0x54, 0xca, 0x23, 0x5d, 0x20, 0x89, 0xc7, 0xbd, 0x98, 0xd9, 0x00, 0x99, 0xee, 0x35, 0x12, 0xb6, 0x29, 0xbc, 0x63, 0xa6, 0x9e, 0xab, 0x96, + 0xd2, 0xf6, 0x0e, 0xa0, 0x1d, 0x29, 0x3d, 0xff, 0xc6, 0xfc, 0x35, 0x5a, 0x72, 0x6b, 0x0e, 0xb9, 0x1d, 0x66, 0x35, 0x88, 0x34, 0xb1, 0xdf, 0xcd, 0xcf, 0x57, 0x38, 0xf9, 0x29, 0x22, 0x6a, 0x63, + 0xbc, 0x8f, 0x86, 0x17, 0x40, 0xd8, 0x44, 0xe4, 0x7e, 0x2d, 0x3b, 0x73, 0x1d, 0x03, 0xa9, 0x02, 0xf7, 0x62, 0x7c, 0x0f, 0x28, 0x7f, 0x18, 0x63, 0xca, 0x4e, 0x29, 0x77, 0x3e, 0x96, 0x6c, 0x9b, + 0xde, 0x3d, 0x6e, 0xb2, 0xc8, 0x3f, 0x1f, 0xea, 0x43, 0x22, 0x7b, 0xd9, 0xb5, 0x56, 0xb9, 0x77, 0x33, 0x78, 0xf3, 0xd5, 0xcb, 0xf5, 0x71, 0xeb, 0x68, 0x77, 0xa3, 0x34, 0xc4, 0x38, 0xc8, 0x07, + 0x1b, 0x9c, 0xa6, 0xb8, 0xf2, 0xad, 0x85, 0xe6, 0x6c, 0xca, 0x13, 0x12, 0x82, 0x6f, 0xc0, 0x42, 0x8f, 0xa8, 0x0a, 0xf2, 0x51, 0xd1, 0x3e, 0x3b, 0xe1, 0x57, 0xde, 0x90, 0x02, 0x03, 0xa2, 0xb2, + 0xf0, 0x9c, 0xd2, 0x2e, 0xd5, 0xcb, 0x33, 0xa7, 0x1a, 0x10, 0x15, 0x48, 0x28, 0x78, 0x4b, 0xc0, 0xd9, 0x09, 0x3b, 0x73, 0x10, 0x96, 0xbc, 0xb1, 0x4f, 0xdd, 0x8a, 0x59, 0xc0, 0x6b, 0xa7, 0xbb, + 0xb6, 0xf4, 0x62, 0x85, 0xeb, 0x75, 0xbe, 0x0f, 0x7e, 0x51, 0x43, 0xe1, 0x6f, 0xdb, 0x3b, 0x03, 0x09, 0x30, 0x33, 0x92, 0xe6, 0x2e, 0x53, 0x62, 0x99, 0xc8, 0x25, 0x29, 0x3e, 0x57, 0x64, 0x04, + 0x08, 0x33, 0xbc, 0xd0, 0xdb, 0xe3, 0xff, 0x00, 0x12, 0x2f, 0x56, 0xc1, 0xc2, 0x36, 0x4b, 0x79, 0x82, 0x93, 0xb9, 0xcb, 0xe3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05, 0x0a, 0x0f, 0x17, 0x1d, 0x25, +}; +static const uint8_t ML_DSA_65_sigver_26_msg[] = { + 0xa0, 0x3a, 0x6a, 0x22, 0x60, 0xac, 0x66, 0x40, 0xcf, 0x95, 0xc0, 0x73, 0x5a, 0xb6, 0x7d, 0x18, 0xea, 0x11, 0x4c, 0x85, 0x52, 0xd2, 0xf7, 0x28, 0x0e, 0x61, 0xee, 0x10, 0x73, 0x15, 0x2f, 0xe4, + 0xa0, 0xe2, 0x80, 0x94, 0xd2, 0x9b, 0xd1, 0xec, 0x79, 0xb2, 0x83, 0x98, 0xd1, 0x0a, 0x9a, 0xef, 0xc2, 0xc5, 0x51, 0x25, 0xc9, 0x94, 0xd8, 0x21, 0xcf, 0x3d, 0xbd, 0x31, 0x99, 0xdf, 0xf2, 0x52, + 0x2e, 0x92, 0x7e, 0xf4, 0xa5, 0x40, 0xdd, 0x3b, 0x36, 0x16, 0x1a, 0x2b, 0xf3, 0xc6, 0x65, 0xcc, 0x93, 0x87, 0xf0, 0x66, 0x67, 0x5e, 0x76, 0x1e, 0xd6, 0x26, 0xd4, 0xb0, 0xd6, 0x08, 0x02, 0x93, + 0xde, 0x77, 0x5f, 0x36, 0xd7, 0x2d, 0x76, 0xb2, 0x2b, 0xb9, 0x83, 0x40, 0xb3, 0xaf, 0x47, 0xa3, 0xee, 0x94, 0x39, 0x9c, 0x73, 0xd0, 0xc9, 0x8e, 0xc9, 0x55, 0x22, 0x1b, 0xf2, 0x09, 0xf4, 0xba, +}; +static const uint8_t ML_DSA_65_sigver_26_sig[] = { + 0xab, 0x5e, 0x73, 0x94, 0xa0, 0xbd, 0xca, 0x1d, 0xae, 0x69, 0xc3, 0x0e, 0x1c, 0xf4, 0x9f, 0xb4, 0xfc, 0x57, 0xdc, 0xbe, 0xf5, 0x88, 0x58, 0xf8, 0x1b, 0xfd, 0x72, 0xb5, 0x2b, 0xd9, 0x61, 0x7f, + 0x71, 0xac, 0x52, 0x5b, 0xf2, 0xe6, 0x32, 0x7f, 0x55, 0x1e, 0xc3, 0x20, 0x8d, 0xf6, 0x7d, 0x0f, 0xaf, 0x56, 0x33, 0xc4, 0x2e, 0x45, 0xf0, 0x1b, 0xfc, 0x23, 0xbe, 0xb5, 0x49, 0x80, 0xea, 0x8f, + 0xa1, 0xc8, 0xec, 0xc4, 0xf3, 0xc7, 0x12, 0x39, 0xff, 0xf9, 0x32, 0xd4, 0xaa, 0xa7, 0x63, 0x19, 0x9c, 0xfd, 0x07, 0xb7, 0xcd, 0x87, 0x60, 0xbe, 0xfc, 0xf0, 0x9d, 0xc5, 0x93, 0x27, 0x29, 0x79, + 0xa2, 0xba, 0x07, 0x60, 0xb8, 0x5d, 0x36, 0xca, 0x15, 0x1e, 0xf2, 0x00, 0xbe, 0x3c, 0x87, 0xea, 0xb2, 0xab, 0x3b, 0x00, 0xde, 0x63, 0x10, 0xf6, 0xae, 0x8b, 0xb6, 0xe6, 0xba, 0xb0, 0x63, 0x9a, + 0xa6, 0x5e, 0x06, 0xcc, 0x88, 0xac, 0xb8, 0x4e, 0x48, 0xe5, 0x82, 0x3b, 0xc4, 0x1e, 0x58, 0x1d, 0xd1, 0x99, 0xb2, 0xff, 0xcd, 0x04, 0xec, 0xff, 0xca, 0xdf, 0x37, 0xfb, 0x5a, 0xaa, 0x68, 0xc4, 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0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x06, 0x0c, 0x14, 0x1e, 0x23, 0x2d, +}; +static const uint8_t ML_DSA_65_sigver_27_msg[] = { + 0xea, 0xab, 0x79, 0xbe, 0x10, 0x79, 0x07, 0x1d, 0xc2, 0x60, 0x01, 0xdb, 0x74, 0x3d, 0x1f, 0x5c, 0x08, 0x5d, 0xab, 0x69, 0x96, 0x7a, 0x4e, 0x69, 0x3d, 0x8e, 0xda, 0x97, 0x59, 0x4f, 0xb4, 0xc7, + 0x85, 0x5f, 0x9c, 0x89, 0xcb, 0xa9, 0x5d, 0x0b, 0xb6, 0xbc, 0x2b, 0x36, 0xe0, 0x30, 0x33, 0x6d, 0x4f, 0x02, 0x5f, 0x97, 0x47, 0x48, 0x7e, 0x86, 0x34, 0x45, 0x68, 0x6d, 0x84, 0xbd, 0xda, 0xed, + 0x97, 0xe1, 0x0c, 0xa8, 0xaa, 0x6e, 0x5e, 0x67, 0xf4, 0xf3, 0xb2, 0x15, 0x00, 0x83, 0xae, 0xa5, 0xfc, 0x5e, 0x55, 0x33, 0x3c, 0x4b, 0xa9, 0x91, 0x07, 0x47, 0xf7, 0x2a, 0x11, 0x51, 0xfe, 0x68, + 0xd2, 0x2b, 0xba, 0x8f, 0xd6, 0x30, 0xcb, 0xa4, 0x35, 0x9b, 0xe2, 0xf0, 0xda, 0x86, 0xcd, 0x2c, 0x6f, 0x79, 0xbf, 0x83, 0x26, 0xac, 0x19, 0x51, 0x71, 0xe2, 0xd8, 0x76, 0x13, 0x93, 0x03, 0xd6, +}; +static const uint8_t ML_DSA_65_sigver_27_sig[] = { + 0x77, 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0x65, 0xe0, 0x8a, 0x96, 0xb7, 0xb3, 0x99, 0x05, 0x3d, 0x09, 0x80, 0x1f, + 0xba, 0x56, 0x35, 0x0b, 0xba, 0xc2, 0x3e, 0x60, 0x6c, 0xb1, 0xf0, 0x3a, 0x5b, 0xac, 0xe7, 0xd3, 0xff, 0xbf, 0x35, 0x97, 0x40, 0x2a, 0x6f, 0x4b, 0x39, 0xd7, 0x5b, 0xd8, 0x81, 0x39, 0x3c, 0x7b, + 0x48, 0x6f, 0x01, 0xce, 0xec, 0xe4, 0x06, 0x0d, 0x5d, 0xbd, 0xbe, 0xa8, 0x98, 0x7d, 0x50, 0x8c, 0xf9, 0x17, 0x23, 0x41, 0x23, 0x70, 0x40, 0x35, 0x9e, 0x4f, 0x43, 0x14, 0x31, 0x3e, 0x1f, 0x15, + 0x8c, 0x10, 0x5f, 0x2d, 0xe9, 0xb1, 0xe8, 0x07, 0x0d, 0xde, 0xac, 0x3a, 0x89, 0x47, 0x4e, 0xb2, 0x27, 0x18, 0x88, 0x28, 0xbd, 0xfb, 0x32, 0x3c, 0x3a, 0x11, 0x62, 0xc2, 0xfe, 0x2f, 0xe2, 0xe5, + 0xed, 0xda, 0xdd, 0x65, 0x3e, 0x92, 0x18, 0xfe, 0x8f, 0x16, 0xdf, 0x41, 0x63, 0x0c, 0x32, 0x7b, 0x7a, 0x5a, 0xff, 0xd0, 0xf3, 0x15, 0x52, 0x14, 0x4a, 0x9a, 0x34, 0x82, 0x56, 0xa1, 0x01, 0x10, + 0x95, 0x1f, 0x48, 0x9e, 0xac, 0xfa, 0xad, 0x08, 0x7d, 0x12, 0x69, 0x9a, 0x26, 0x62, 0x1f, 0xb8, 0x83, 0xab, 0x78, 0x07, 0x18, 0x4f, 0x2c, 0x8e, 0xf8, 0x4d, 0xdd, 0x6c, 0x26, 0x2c, 0xe2, 0xdb, + 0x19, 0x2b, 0x27, 0x51, 0xe5, 0x4d, 0x07, 0x0a, 0xc7, 0x99, 0x33, 0xe6, 0x59, 0x58, 0xda, 0xc8, 0x7a, 0xd3, 0x59, 0x2b, 0xc3, 0xec, 0x1b, 0x3b, 0x8c, 0x72, 0x64, 0x9e, 0x19, 0xa0, 0x26, 0xff, + 0x7b, 0x2b, 0xb7, 0xeb, 0x2d, 0x78, 0x47, 0xe0, 0xef, 0x58, 0xaa, 0x38, 0xfd, 0x2a, 0x9e, 0xf2, 0xa2, 0x4c, 0x8f, 0x01, 0xf7, 0x40, 0x10, 0xdd, 0x5b, 0x15, 0xdc, 0x47, 0x24, 0x33, 0x09, 0xf3, + 0x2e, 0x47, 0x26, 0x8f, 0x94, 0xd8, 0x21, 0x39, 0x31, 0xb1, 0x6e, 0x63, 0x9b, 0x71, 0xd1, 0x25, 0xe0, 0x69, 0xc2, 0x95, 0x21, 0x66, 0x22, 0xad, 0x54, 0x8a, 0x47, 0xb6, 0x52, 0x71, 0x99, 0x10, + 0x9b, 0x24, 0x33, 0x55, 0xd1, 0xe0, 0x50, 0x6e, 0x8c, 0x76, 0x62, 0x7f, 0x92, 0xcc, 0x17, 0x0d, 0x70, 0xea, 0xc2, 0xf1, 0x30, 0x61, 0xd7, 0xa7, 0x32, 0x5f, 0x2c, 0x03, 0xa8, 0x38, 0x15, 0x23, + 0x5b, 0x89, 0xe2, 0xb8, 0x96, 0xd1, 0xab, 0xbe, 0xbb, 0x71, 0x5f, 0xa6, 0x8f, 0xc3, 0xb5, 0xe4, 0xdf, 0x33, 0x54, 0xbd, 0x7a, 0xe3, 0x73, 0x77, 0xe5, 0x7c, 0x07, 0xfd, 0xf0, 0x91, 0xe2, 0x05, + 0x3d, 0x65, 0xe7, 0x16, 0x0d, 0x70, 0xda, 0xe0, 0x6c, 0xaa, 0xe7, 0x17, 0x2c, 0x8c, 0x2e, 0x0f, 0x5a, 0x03, 0x83, 0x37, 0x7a, 0x0b, 0x4f, 0xd8, 0x3b, 0xdf, 0x44, 0x47, 0xfd, 0xfd, 0x41, 0x8f, + 0x79, 0x80, 0x0d, 0x8e, 0x55, 0x4b, 0x7e, 0x56, 0x4f, 0x04, 0xd0, 0xcc, 0x0b, 0xa4, 0x43, 0x05, 0x5a, 0xe7, 0xb3, 0x4d, 0x32, 0x12, 0xbf, 0x56, 0xcd, 0xe3, 0x84, 0x96, 0xe1, 0x64, 0x7e, 0x61, + 0xaf, 0x07, 0xb4, 0x00, 0x82, 0xaa, 0x9d, 0xb1, 0x6d, 0xc0, 0x41, 0xe2, 0xdf, 0x4e, 0x94, 0xe7, 0x62, 0xc2, 0x0d, 0x8b, 0xe0, 0x32, 0x06, 0x11, 0x79, 0x36, 0x63, 0xdb, 0xec, 0x33, 0x50, 0xee, + 0xda, 0xf9, 0xb2, 0xe7, 0xaf, 0xa4, 0x6d, 0xb0, 0xd4, 0xdf, 0xb6, 0x55, 0x6e, 0xce, 0xc2, 0xcf, 0x08, 0x14, 0xd3, 0xe0, 0x0c, 0x4b, 0x57, 0x8a, 0x90, 0xa1, 0xe1, 0xef, 0x4a, 0x53, 0x9c, 0xe8, + 0x5c, 0x92, 0x94, 0xa2, 0xc1, 0xc3, 0xdb, 0xec, 0x23, 0x2a, 0x44, 0x46, 0xa1, 0xbd, 0xf8, 0x04, 0x3a, 0x6c, 0xd1, 0xd3, 0xd7, 0xdd, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x0c, 0x10, 0x18, 0x1f, 0x26, +}; +static const uint8_t ML_DSA_65_sigver_28_msg[] = { + 0x07, 0xf9, 0xcc, 0xc3, 0x42, 0x6b, 0x0c, 0xe4, 0xc1, 0xd2, 0x8d, 0xa2, 0x31, 0x4b, 0xff, 0x42, 0xbc, 0xe5, 0xeb, 0x03, 0x26, 0x16, 0x17, 0x97, 0xc4, 0x0b, 0xe6, 0x56, 0xbd, 0xad, 0x88, 0xd5, + 0x99, 0x6e, 0x1b, 0x6e, 0xdb, 0xc8, 0x2a, 0xcf, 0x96, 0xaf, 0xc7, 0xc8, 0x6e, 0x6a, 0xa9, 0x02, 0x78, 0x75, 0x4b, 0x03, 0x8a, 0x8b, 0x07, 0x23, 0x67, 0xa7, 0x8c, 0x6c, 0x3b, 0xa3, 0x94, 0x89, + 0x9a, 0xfc, 0x0c, 0xda, 0x4d, 0x78, 0xb7, 0x07, 0xe9, 0x75, 0x8f, 0x2d, 0x39, 0x7f, 0x3f, 0x50, 0x78, 0x22, 0xf9, 0x52, 0x36, 0x23, 0xd1, 0xa6, 0x49, 0x68, 0xe6, 0x93, 0xd0, 0x13, 0x45, 0x25, + 0xdd, 0x01, 0x47, 0xad, 0xbb, 0x22, 0x24, 0x71, 0xc7, 0x81, 0x26, 0x5b, 0x31, 0x50, 0x8c, 0x4e, 0x3b, 0x5c, 0x80, 0x80, 0xc8, 0x72, 0x8a, 0xe2, 0xa9, 0xc7, 0xfc, 0x72, 0xe9, 0x7f, 0x89, 0x10, +}; +static const uint8_t ML_DSA_65_sigver_28_sig[] = { + 0x6f, 0x33, 0xb6, 0xcd, 0x83, 0x14, 0xf3, 0x73, 0x5e, 0x91, 0x20, 0x10, 0x84, 0x79, 0x23, 0xb7, 0x61, 0x8d, 0xb9, 0xea, 0xeb, 0x01, 0x61, 0xf4, 0x07, 0x0a, 0xb7, 0xd7, 0x6d, 0xbd, 0x70, 0x84, + 0xe7, 0xff, 0x1b, 0xb0, 0x13, 0x33, 0xe8, 0x0b, 0xef, 0x83, 0x0d, 0x3f, 0x06, 0x26, 0x2e, 0xb9, 0xa7, 0x0a, 0x73, 0xaf, 0x73, 0x55, 0x2d, 0xd9, 0x01, 0x13, 0x8a, 0x4c, 0xc4, 0xc3, 0x01, 0x53, + 0xc9, 0x5f, 0x62, 0xcb, 0x4a, 0x33, 0xb1, 0x41, 0x96, 0xdb, 0xbc, 0xc5, 0x51, 0xb5, 0xb3, 0xd0, 0xa7, 0xc0, 0x52, 0xd9, 0x25, 0x1d, 0x5c, 0x26, 0x0c, 0xbf, 0x68, 0x30, 0x49, 0x76, 0x68, 0x99, + 0x45, 0x51, 0x11, 0xe5, 0x1f, 0x1e, 0xba, 0x80, 0xd0, 0xf4, 0xb4, 0x6a, 0x4a, 0x2e, 0x95, 0xa4, 0x7c, 0x23, 0x26, 0xe8, 0x37, 0xca, 0x16, 0x00, 0x84, 0xb8, 0x07, 0x81, 0xa3, 0x25, 0xfc, 0x0c, + 0x75, 0x11, 0xba, 0x80, 0x48, 0x7a, 0x31, 0xd0, 0x7e, 0x69, 0x7e, 0x43, 0x28, 0xed, 0x46, 0x30, 0xc4, 0xe4, 0xd9, 0xb3, 0x54, 0x7d, 0xbe, 0xb8, 0xb9, 0x03, 0x7d, 0x4d, 0xd0, 0xaf, 0xab, 0xb8, + 0x13, 0x5c, 0x19, 0x83, 0xcc, 0x92, 0xc3, 0x56, 0xfb, 0x02, 0xf9, 0x3d, 0xb1, 0x7d, 0x42, 0xa0, 0x42, 0xd5, 0xa8, 0x20, 0x47, 0xb6, 0x7b, 0x26, 0xdb, 0x54, 0xbd, 0xdc, 0x9e, 0x6a, 0x42, 0xc2, + 0xf4, 0xb4, 0xcf, 0x6a, 0x79, 0xad, 0x6f, 0x29, 0x4e, 0x07, 0x63, 0x11, 0x1f, 0xeb, 0xac, 0xed, 0x66, 0x74, 0x5d, 0x3d, 0x8e, 0x3e, 0xbb, 0xfa, 0xf9, 0x34, 0xf6, 0xcb, 0x4a, 0x11, 0x41, 0xa2, + 0x38, 0x0c, 0xff, 0xd9, 0x9e, 0x9e, 0xfd, 0x97, 0xd8, 0x54, 0x84, 0x24, 0xff, 0xcc, 0xe6, 0xa6, 0xc3, 0xc7, 0x3a, 0x93, 0x1d, 0xe4, 0x73, 0x63, 0x0f, 0xe3, 0x64, 0xd0, 0xca, 0xe7, 0xc4, 0x05, + 0x70, 0x48, 0x60, 0x46, 0xa7, 0x15, 0x29, 0x6e, 0xd9, 0x55, 0x43, 0xf6, 0x5f, 0x70, 0x86, 0xd1, 0xee, 0x37, 0x53, 0x38, 0x1c, 0xfb, 0x1e, 0xdb, 0xd6, 0xef, 0x38, 0xa3, 0xbd, 0x3b, 0x98, 0x2a, + 0x64, 0x23, 0x5c, 0xa1, 0xfb, 0x8b, 0x71, 0x4a, 0x4e, 0x75, 0xd8, 0x48, 0xea, 0xaa, 0x34, 0x89, 0xda, 0xa6, 0xda, 0xfb, 0x89, 0x69, 0x36, 0xc3, 0x8f, 0xc4, 0x73, 0x4a, 0xba, 0xb0, 0x20, 0xfe, + 0x98, 0xbf, 0x18, 0x9a, 0x15, 0xad, 0xc0, 0x8e, 0x18, 0x06, 0xf5, 0xb3, 0x6f, 0x76, 0x8d, 0x76, 0xd9, 0x10, 0x1b, 0xb3, 0x26, 0xf7, 0x6a, 0x38, 0x5f, 0x40, 0xcd, 0xad, 0x62, 0x9a, 0xab, 0xe5, + 0x1b, 0xa3, 0xd4, 0x4c, 0x1b, 0xf5, 0x26, 0xb0, 0xb1, 0x49, 0x48, 0x1a, 0xbc, 0x5e, 0x36, 0x31, 0x0b, 0xd4, 0x5b, 0xc2, 0xc6, 0xcc, 0x15, 0x0f, 0x1a, 0xdc, 0xac, 0x72, 0x1b, 0x9a, 0x88, 0x42, + 0x1b, 0x76, 0xe5, 0x92, 0xd9, 0x61, 0xad, 0x1a, 0x2e, 0x10, 0x1a, 0x67, 0x52, 0x66, 0xd5, 0xca, 0xcc, 0x1b, 0x5b, 0xb7, 0x74, 0x6f, 0x02, 0xa3, 0xe2, 0xee, 0x93, 0xf3, 0x47, 0x50, 0x59, 0x4c, + 0x28, 0x8e, 0xd3, 0xc0, 0x9c, 0x63, 0x45, 0xc1, 0xc2, 0x5b, 0x90, 0xff, 0xbd, 0xef, 0x95, 0xb2, 0xdc, 0xbb, 0xc2, 0x23, 0x9b, 0xe3, 0xe5, 0x22, 0x58, 0x9e, 0x27, 0x12, 0x03, 0x06, 0x75, 0xd9, + 0x8c, 0x76, 0xbd, 0xc0, 0xb8, 0x63, 0x35, 0xf0, 0x60, 0x37, 0xe9, 0x0c, 0x7b, 0xf7, 0x06, 0xb6, 0x58, 0x88, 0xc1, 0x35, 0xe4, 0x8d, 0x17, 0xf5, 0xc0, 0x65, 0x3d, 0xbd, 0x7b, 0xa8, 0xc2, 0x5f, + 0x8b, 0xaf, 0xe7, 0x61, 0xf0, 0x86, 0x37, 0xad, 0xe2, 0xe6, 0xb5, 0x2d, 0x40, 0x84, 0xa7, 0xba, 0x6e, 0xcb, 0xd3, 0xa2, 0x43, 0xbf, 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0xc0, 0x9a, 0xe1, 0xb3, 0x1b, 0x56, 0x95, 0xb0, 0x0d, 0x7b, 0xa8, + 0x15, 0x24, 0xaa, 0x1e, 0xfa, 0x11, 0x40, 0x28, 0x3e, 0x3a, 0x81, 0x40, 0x57, 0x5c, 0x33, 0xb0, 0xc6, 0xc6, 0x79, 0xe8, 0xf6, 0xac, 0x6c, 0x8b, 0xb0, 0x9e, 0x06, 0x6a, 0xc3, 0xa3, 0x9d, 0x73, + 0x2e, 0xc2, 0x92, 0x09, 0xc9, 0x63, 0x88, 0xa6, 0xe0, 0x53, 0x80, 0xee, 0xc6, 0xf9, 0xb9, 0x57, 0xd6, 0x61, 0x3a, 0x97, 0x9e, 0xec, 0xbd, 0x8d, 0x41, 0xce, 0x7a, 0x07, 0x5d, 0x66, 0xa4, 0x4a, + 0x21, 0x2c, 0x93, 0x35, 0x77, 0x1f, 0x99, 0x02, 0x68, 0x28, 0x87, 0xac, 0xbb, 0xa4, 0x02, 0x07, 0x52, 0xb2, 0x50, 0xab, 0xbb, 0x88, 0x6c, 0x7b, 0x0b, 0xc5, 0x0b, 0x8c, 0x65, 0x9e, 0x4b, 0xf8, + 0x9c, 0xee, 0xbe, 0xec, 0xa0, 0x53, 0xe5, 0x22, 0x88, 0xbc, 0xd4, 0xe5, 0x53, 0x6a, 0xcb, 0x96, 0x9c, 0xbb, 0x61, 0xab, 0xcd, 0xc0, 0x0e, 0x4f, 0x57, 0x5d, 0x5b, 0x10, 0x84, 0xc6, 0xea, 0x43, + 0x21, 0xbd, 0xe6, 0x1a, 0xa7, 0x28, 0xf0, 0x3a, 0xd0, 0x72, 0xa6, 0x78, 0xfd, 0xf2, 0x03, 0x38, 0x6e, 0xd0, 0x82, 0x8f, 0x18, 0x83, 0xa9, 0x6d, 0xff, 0x45, 0xb1, 0x5f, 0x81, 0xa5, 0x04, 0x08, + 0xa5, 0xe5, 0x43, 0x93, 0xdc, 0x17, 0x57, 0xdf, 0x3f, 0xd3, 0x04, 0xe9, 0xaa, 0x21, 0x22, 0x87, 0xbb, 0xce, 0xf5, 0xc9, 0x25, 0x87, 0x98, 0x9a, 0xb4, 0xa6, 0x99, 0xd2, 0xad, 0x3e, 0xed, 0x03, + 0x6d, 0x4d, 0x5f, 0xa5, 0x75, 0xd1, 0x83, 0xdb, 0x87, 0xe0, 0x94, 0xb8, 0xf0, 0x66, 0xf1, 0x25, 0xfb, 0x97, 0xa2, 0x77, 0x83, 0xc9, 0x6a, 0xa9, 0xb8, 0x62, 0x8e, 0x49, 0x13, 0x63, 0xbe, 0x43, + 0x69, 0x60, 0x7c, 0xfd, 0xd8, 0x1f, 0x4f, 0x61, 0x37, 0xee, 0x70, 0x73, 0x25, 0xc4, 0x42, 0x0f, 0x3d, 0xb2, 0xb5, 0xed, 0x08, 0x83, 0xdb, 0xf9, 0xfb, 0xf8, 0x68, 0x71, 0xf6, 0xee, 0xce, 0xe4, + 0x9f, 0xa9, 0x1b, 0x09, 0x72, 0xa9, 0x69, 0x4d, 0x0d, 0xd6, 0xbe, 0x79, 0x7f, 0x6c, 0xe1, 0x8e, 0x2f, 0x6a, 0x13, 0x5f, 0x82, 0xea, 0x01, 0xed, 0x3f, 0x26, 0x9c, 0x46, 0xc6, 0x59, 0xb0, 0xa3, + 0x0e, 0x9a, 0x79, 0x19, 0x30, 0x9a, 0xb2, 0x24, 0xc2, 0xe8, 0xd9, 0x6a, 0xe5, 0xb1, 0x13, 0x5e, 0xf9, 0x62, 0xbd, 0x9a, 0x22, 0xbb, 0x68, 0xf9, 0xb8, 0x47, 0x97, 0x19, 0xee, 0x5b, 0x22, 0x96, + 0x16, 0x73, 0xf5, 0xea, 0x32, 0x4f, 0xa6, 0xfa, 0xa0, 0x11, 0x83, 0x6e, 0xd1, 0xad, 0x1c, 0x0b, 0xbd, 0x93, 0x78, 0xc8, 0x2c, 0x8a, 0x20, 0xea, 0xb4, 0x48, 0x16, 0x95, 0x57, 0xed, 0x40, 0x44, + 0x83, 0x3b, 0x2b, 0x28, 0x4f, 0x62, 0xe3, 0x4b, 0xd3, 0xa6, 0xdf, 0xe3, 0x73, 0x0a, 0x6d, 0x4c, 0x73, 0xad, 0xcc, 0xe2, 0x4b, 0x05, 0x99, 0xe7, 0x30, 0x01, 0x9d, 0x71, 0xef, 0xc0, 0x32, 0xf8, + 0x49, 0xf0, 0x04, 0x4c, 0x19, 0xfa, 0xb0, 0xb3, 0x7c, 0x41, 0x52, 0xcb, 0x51, 0x8c, 0x53, 0x2f, 0x78, 0xdf, 0x6c, 0xb6, 0xdf, 0x2e, 0xae, 0xa6, 0x03, 0x22, 0x62, 0x10, 0xfc, 0x42, 0xb1, 0x9e, + 0xe6, 0x6b, 0x8a, 0xb2, 0xee, 0x61, 0xdb, 0x70, 0x34, 0x03, 0xde, 0x26, 0x96, 0xe0, 0xa9, 0x0c, 0xd0, 0xb3, 0xea, 0xe8, 0xd6, 0x10, 0xef, 0x52, 0xc7, 0x61, 0xa9, 0x1c, 0xe1, 0x6a, 0xf4, 0xa6, + 0x50, 0x7e, 0x04, 0x82, 0x0c, 0xbc, 0x7a, 0x83, 0xc6, 0x79, 0xf6, 0x74, 0x97, 0x92, 0x32, 0xba, 0x01, 0xa5, 0x81, 0x00, 0x1d, 0xc0, 0x21, 0x1d, 0x37, 0x59, 0x9e, 0x83, 0xd2, 0x08, 0x1a, 0x2f, + 0xb0, 0x92, 0x6a, 0x0f, 0xb0, 0x33, 0x35, 0x1e, 0xba, 0xa3, 0xc8, 0x0d, 0xc1, 0x74, 0x76, 0x30, 0xb9, 0x18, 0xf0, 0x04, 0xa5, 0xc8, 0xd4, 0xe6, 0x8c, 0xd0, 0xaf, 0xfe, 0xb7, 0x46, 0x95, 0xef, + 0x10, 0x0a, 0x19, 0x63, 0x77, 0x17, 0x35, 0x3c, 0x58, 0x65, 0x95, 0xfe, 0xd8, 0xc3, 0x48, 0x14, 0x3e, 0xdc, 0xb8, 0x34, 0xb5, 0x4e, 0xdb, 0x40, 0xb0, 0xe8, 0x7b, 0xda, 0xd3, 0x49, 0x7a, 0xb4, + 0x01, 0x1f, 0xd4, 0x8d, 0x6c, 0xbd, 0x6e, 0x0a, 0x04, 0xd9, 0xb7, 0x9f, 0x98, 0x1a, 0xde, 0x33, 0x40, 0xe1, 0xa3, 0xa4, 0x5e, 0xdd, 0xed, 0xc0, 0xec, 0xe1, 0x21, 0x76, 0x7f, 0x52, 0xd1, 0xa2, + 0x8c, 0x06, 0x97, 0x3c, 0x8d, 0x98, 0x00, 0x77, 0x4c, 0x23, 0xfb, 0x32, 0xf9, 0x88, 0x4e, 0x38, 0x26, 0x2c, 0x37, 0x66, 0x88, 0xba, 0xbf, 0xcf, 0xff, 0x61, 0x79, 0x0f, 0x16, 0x4e, 0x75, 0xf0, + 0x34, 0x4e, 0x76, 0x85, 0x92, 0xfa, 0x47, 0x6b, 0x7f, 0xa7, 0xd5, 0xeb, 0xfc, 0x1c, 0x22, 0x2f, 0x33, 0x7b, 0x85, 0xb9, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x09, 0x0b, 0x10, 0x16, 0x1d, 0x25, +}; +static const uint8_t ML_DSA_65_sigver_29_msg[] = { + 0x05, 0x79, 0xcd, 0xc4, 0xfe, 0x55, 0xc4, 0x16, 0x03, 0x77, 0xbc, 0xb1, 0x2b, 0x67, 0xbe, 0xab, 0x78, 0xba, 0xb1, 0x25, 0xf9, 0xba, 0x89, 0x24, 0x79, 0x06, 0x60, 0x31, 0x41, 0x3a, 0x63, 0xbf, + 0x60, 0xe3, 0x1a, 0xbf, 0x90, 0xd9, 0xdd, 0x84, 0x5f, 0xcf, 0x8f, 0x6f, 0x9c, 0xe1, 0x96, 0x4b, 0x67, 0xdd, 0x8a, 0x92, 0x87, 0x7a, 0x73, 0x20, 0x38, 0x5d, 0x9d, 0xdb, 0xd9, 0x23, 0xe5, 0x92, + 0xe7, 0x59, 0x93, 0xc1, 0xb3, 0x25, 0x88, 0x03, 0x4d, 0x39, 0x9f, 0x6c, 0xdb, 0xc2, 0x82, 0x17, 0xe2, 0x39, 0x55, 0x26, 0xcd, 0x4a, 0x18, 0xf4, 0xa5, 0xce, 0xe4, 0x19, 0xdc, 0x2a, 0xbd, 0xfe, + 0x3c, 0x6a, 0x32, 0x1e, 0xf8, 0x79, 0x85, 0xbc, 0x04, 0x57, 0xdc, 0xa0, 0x6e, 0x18, 0xee, 0x1d, 0x76, 0x7a, 0x06, 0x96, 0x22, 0x21, 0xfd, 0x19, 0x77, 0x8c, 0x3a, 0x39, 0xe2, 0x8d, 0x5b, 0x28, +}; +static const uint8_t ML_DSA_65_sigver_29_sig[] = { + 0x9f, 0x04, 0xf0, 0xf9, 0xad, 0xaf, 0x2f, 0xb2, 0x0f, 0x6a, 0x51, 0x94, 0x66, 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+static const uint8_t ML_DSA_65_sigver_30_msg[] = { + 0x3c, 0x77, 0xc6, 0x7f, 0xc3, 0x4b, 0xd5, 0x14, 0x6a, 0xf5, 0xdd, 0xea, 0x08, 0xec, 0xb7, 0xe5, 0x9d, 0xbd, 0x4f, 0x0c, 0x67, 0x62, 0x28, 0x76, 0x86, 0x95, 0xdf, 0x4a, 0x7c, 0x20, 0x85, 0x4b, + 0x49, 0xe6, 0x95, 0x98, 0x15, 0x21, 0x4c, 0xdf, 0x93, 0xd5, 0x8a, 0xcf, 0xca, 0xce, 0xb6, 0xb7, 0x13, 0x08, 0xbf, 0xda, 0xbc, 0x6f, 0xfa, 0xd2, 0x0f, 0xdc, 0xa0, 0x0f, 0x2b, 0x69, 0xea, 0xf5, + 0xc4, 0xa8, 0xb8, 0xbf, 0xa3, 0xca, 0xed, 0x5d, 0x98, 0x0c, 0x7b, 0x61, 0x35, 0x38, 0x53, 0x27, 0xa5, 0x0b, 0xb4, 0x66, 0x15, 0x4a, 0xf3, 0x02, 0xa5, 0x39, 0x62, 0x03, 0x7e, 0xe4, 0xec, 0x0f, + 0x37, 0xbf, 0x07, 0x1e, 0xf5, 0x5b, 0xc2, 0xc7, 0x6e, 0xd5, 0x24, 0xb0, 0x71, 0x9f, 0x0c, 0x72, 0xe0, 0x1e, 0xf4, 0x17, 0x78, 0x21, 0xb4, 0xcc, 0xc6, 0xae, 0x1a, 0x66, 0x91, 0x5c, 0x32, 0xbc, +}; +static const uint8_t ML_DSA_65_sigver_30_sig[] = { + 0x2d, 0x26, 0xe2, 0xb8, 0x1d, 0x84, 0x12, 0x44, 0xc2, 0xb8, 0xfe, 0xf2, 0x40, 0xc6, 0xb4, 0xeb, 0x2e, 0x4b, 0x78, 0xe3, 0x36, 0x3e, 0xf6, 0xd9, 0x31, 0xc2, 0xd1, 0x37, 0x99, 0x24, 0xe0, 0xc0, + 0xdf, 0xa5, 0x79, 0x9d, 0x6a, 0x5a, 0xe4, 0xa6, 0xc5, 0xae, 0xe7, 0x85, 0x59, 0x8f, 0x5e, 0xdd, 0x01, 0x4f, 0x3f, 0xc0, 0x86, 0xcf, 0x5c, 0x00, 0x60, 0x9d, 0xd6, 0x8a, 0x54, 0xe2, 0xef, 0x65, + 0x19, 0x41, 0xef, 0x66, 0x3a, 0x78, 0x8f, 0x77, 0x6b, 0x32, 0xb2, 0xb3, 0x2c, 0x3e, 0x9d, 0xd5, 0x3c, 0x6f, 0x2b, 0x2c, 0xee, 0x72, 0xd7, 0x70, 0xb3, 0xa4, 0x20, 0xc6, 0xac, 0x5d, 0x1f, 0x5d, + 0x18, 0x50, 0xed, 0x42, 0x76, 0x55, 0x2d, 0x4e, 0x3a, 0x41, 0xb2, 0x03, 0xa2, 0x09, 0xe7, 0x95, 0x35, 0xca, 0x43, 0xa5, 0xf5, 0x76, 0xab, 0x37, 0xc9, 0xfe, 0x13, 0x04, 0xa3, 0xc3, 0xe2, 0x75, + 0xd0, 0x27, 0x8e, 0x05, 0xbc, 0x90, 0x42, 0x5d, 0xe3, 0x3c, 0x9a, 0x54, 0xdc, 0xd4, 0xbd, 0xe1, 0xaa, 0xf6, 0x59, 0xf6, 0x73, 0xee, 0x15, 0x4b, 0xc9, 0x2a, 0xa7, 0x64, 0x56, 0xbc, 0xa5, 0x66, + 0x58, 0x37, 0xef, 0xf2, 0xe4, 0xb7, 0xf9, 0xdf, 0x03, 0xb6, 0x38, 0xc4, 0x9c, 0x01, 0x3f, 0x64, 0xc1, 0x3f, 0x13, 0xcb, 0x52, 0xef, 0x34, 0x61, 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0xa6, 0x13, 0x1f, 0x36, 0xa5, 0x9c, 0x93, 0x6e, 0x0b, 0x23, 0xf0, 0xed, 0x06, 0x1a, 0x74, 0x12, 0xa3, 0x40, 0x74, 0x08, 0xd4, 0x9c, + 0x29, 0x76, 0xbc, 0x6f, 0x50, 0xe4, 0x4b, 0xa3, 0x2d, 0x21, 0xf8, 0x19, 0xaf, 0x80, 0x26, 0x8d, 0xa3, 0xe2, 0x5b, 0x7b, 0x51, 0x7f, 0xf9, 0x98, 0x63, 0x93, 0xfd, 0x9b, 0x88, 0x0c, 0x1c, 0xa9, + 0xd3, 0x72, 0xa3, 0x5b, 0xd5, 0x0f, 0x98, 0xc6, 0xeb, 0x10, 0xab, 0x19, 0x58, 0xdf, 0xc1, 0xbe, 0x1a, 0x5a, 0xe0, 0xd6, 0x06, 0xc5, 0x35, 0x5e, 0xe9, 0x2c, 0x5b, 0x0d, 0x92, 0x59, 0xc1, 0xcf, + 0xdf, 0xc2, 0x78, 0x6a, 0x81, 0xf1, 0xa7, 0xb7, 0x7e, 0x18, 0x5a, 0x9b, 0xa9, 0x60, 0x01, 0x9e, 0x16, 0x01, 0x4d, 0xc6, 0x4b, 0x50, 0x32, 0xf9, 0x19, 0x58, 0xfe, 0xe7, 0xf8, 0x7a, 0x8c, 0xf6, + 0x59, 0x78, 0x95, 0x58, 0xc8, 0x2e, 0x77, 0x64, 0x80, 0xa6, 0xf4, 0xca, 0x13, 0x38, 0x44, 0xe0, 0xa5, 0x4f, 0x7f, 0x2c, 0x31, 0x5f, 0xc6, 0x92, 0x7a, 0xbe, 0x68, 0x4e, 0x05, 0x43, 0x16, 0x31, + 0x15, 0xd6, 0xb6, 0xd3, 0xf2, 0x47, 0xbf, 0xb2, 0x2f, 0x0c, 0xd6, 0xcd, 0x49, 0x77, 0xc9, 0xb8, 0x8c, 0xb5, 0x88, 0x01, 0x10, 0x31, 0xb2, 0x65, 0xba, 0x46, 0x9c, 0xfc, 0x2b, 0xd1, 0xdc, 0x17, + 0x27, 0x2b, 0xc8, 0x54, 0x79, 0x26, 0xc2, 0x55, 0x33, 0x5d, 0xa0, 0xfc, 0xa8, 0xf6, 0x6f, 0x31, 0xe0, 0x77, 0x7c, 0xf4, 0x31, 0x7c, 0x26, 0xff, 0x84, 0xd5, 0x8a, 0x3c, 0xef, 0xe5, 0x47, 0x5e, + 0x75, 0x3d, 0x12, 0xf7, 0x93, 0xf1, 0xf9, 0x29, 0xdf, 0x9e, 0xcb, 0x06, 0x63, 0x48, 0x71, 0x9e, 0xaa, 0xc1, 0x4d, 0x71, 0xdd, 0x11, 0xdf, 0x23, 0xc3, 0x74, 0x72, 0x72, 0x92, 0x96, 0x01, 0xc8, + 0x90, 0x21, 0xad, 0xec, 0xb0, 0x2c, 0x55, 0x25, 0xce, 0x5b, 0x73, 0xcd, 0x1f, 0xa6, 0x9e, 0x9b, 0x36, 0x37, 0x5d, 0x68, 0xc4, 0x01, 0x2f, 0x45, 0x52, 0xbb, 0x55, 0x5e, 0x84, 0xd2, 0xfe, 0x02, + 0x6c, 0x76, 0x86, 0x87, 0x8c, 0x91, 0xa8, 0xb4, 0xb5, 0xcc, 0xe2, 0xf3, 0x0b, 0x0f, 0x45, 0x5f, 0x91, 0x95, 0xa7, 0xc0, 0x25, 0x69, 0x74, 0x98, 0xce, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05, 0x0a, 0x0f, 0x1c, 0x24, 0x29, +}; +static const uint8_t ML_DSA_87_sigver_pub[] = { + 0x59, 0xb2, 0x37, 0x1f, 0xe7, 0xba, 0xcc, 0x20, 0x7f, 0xe1, 0xfe, 0xe8, 0x8a, 0x8b, 0x38, 0x05, 0xa7, 0x05, 0x28, 0x65, 0x69, 0x17, 0x89, 0xbb, 0x90, 0x54, 0x2f, 0xa4, 0x7f, 0x7e, 0xf2, 0xb7, + 0x5f, 0xca, 0x13, 0xdb, 0xa5, 0x88, 0x8b, 0xec, 0x32, 0x05, 0x14, 0xdc, 0xb0, 0x5f, 0xd2, 0x6e, 0xb5, 0x54, 0x1f, 0x6e, 0x57, 0x2e, 0xce, 0xa6, 0xc4, 0xf1, 0xd3, 0x8a, 0xa7, 0x02, 0x59, 0x09, + 0x4a, 0xa9, 0x45, 0xf1, 0x9f, 0xed, 0x0d, 0x98, 0x0e, 0x65, 0xdb, 0xf6, 0x5d, 0xb8, 0x0f, 0x56, 0x4f, 0xe2, 0x9d, 0x83, 0x6c, 0x54, 0x79, 0x28, 0x8b, 0x55, 0xcf, 0x07, 0xf4, 0xe0, 0x01, 0x59, + 0xb6, 0x95, 0x5d, 0xab, 0xde, 0xcc, 0x8c, 0x4d, 0x66, 0xae, 0x68, 0x87, 0x28, 0xba, 0x6d, 0x5c, 0x04, 0x42, 0xf3, 0xc1, 0x23, 0x2c, 0x78, 0x2c, 0x46, 0x5b, 0x9b, 0x7c, 0x50, 0x14, 0xb1, 0x46, + 0x40, 0x65, 0xcc, 0xd8, 0xa5, 0x6d, 0x6b, 0x1c, 0x16, 0x51, 0x08, 0x69, 0xe0, 0x14, 0xe6, 0x93, 0x39, 0x98, 0xef, 0x72, 0x55, 0x20, 0xb4, 0x00, 0x91, 0x3d, 0x93, 0xb0, 0xec, 0x75, 0xe2, 0xfb, + 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0x29, 0x77, 0x9b, 0x21, 0xce, 0x2c, 0xbd, 0x16, 0x02, 0x18, 0xdf, 0x41, 0xf6, 0x61, 0xda, 0x1a, 0xd9, 0x5a, 0xd4, 0x0b, 0x8c, 0x35, 0x3c, 0x7f, 0x10, 0xfc, 0x23, 0xf8, + 0x30, 0xd1, 0x17, 0xbc, 0xae, 0xf8, 0xce, 0xce, 0xbc, 0xbf, 0xa4, 0x9d, 0x79, 0xd8, 0xd9, 0x39, 0x1e, 0x8d, 0x08, 0x28, 0x1f, 0x00, 0x0a, 0x55, 0xe9, 0x2d, 0xb3, 0x31, 0xbd, 0xec, 0xd7, 0x31, + 0x83, 0xe0, 0x58, 0xff, 0x3f, 0xe5, 0x83, 0x9a, 0xf5, 0x0d, 0x8c, 0x55, 0xf2, 0x2f, 0x6a, 0xff, 0x5a, 0x33, 0xda, 0x77, 0x4b, 0xa1, 0xb3, 0xe6, 0x43, 0xf5, 0x87, 0x7c, 0xf5, 0x49, 0xc4, 0xf9, + 0x08, 0xea, 0x64, 0xa3, 0x7d, 0xf3, 0xbf, 0xa4, 0xcd, 0x5f, 0x70, 0xf8, 0xcd, 0x15, 0x44, 0x76, 0xd3, 0x4b, 0xc8, 0x53, 0xc9, 0xe8, 0xf7, 0x97, 0x9e, 0x5f, 0x4e, 0xbb, 0x88, 0x8a, 0xf7, 0x61, +}; +static const uint8_t ML_DSA_87_sigver_31_msg[] = { + 0x4a, 0xc4, 0x67, 0x5c, 0x96, 0xd9, 0x11, 0x7d, 0x1e, 0xde, 0xb8, 0x0d, 0x7c, 0xd2, 0x84, 0xa3, 0xe1, 0xe1, 0xfe, 0x03, 0x8e, 0x30, 0x12, 0x05, 0xb4, 0xc4, 0x08, 0xeb, 0x96, 0x52, 0x35, 0xad, + 0x1c, 0x85, 0xf8, 0xbe, 0x3f, 0x77, 0xca, 0x48, 0x6f, 0xd2, 0x07, 0xf7, 0xc7, 0x5f, 0x41, 0x21, 0xcd, 0x3c, 0xa2, 0xb2, 0x3d, 0x6b, 0xce, 0x43, 0x82, 0xa6, 0xd3, 0x61, 0x21, 0x81, 0x50, 0x25, + 0xd5, 0x80, 0x6c, 0xbe, 0xf4, 0x52, 0xe0, 0x83, 0x93, 0x3c, 0x6e, 0x5c, 0x73, 0x94, 0xac, 0x88, 0x26, 0x2a, 0x6d, 0xe7, 0x77, 0x0b, 0x2d, 0x88, 0x43, 0xec, 0x10, 0x1f, 0xfb, 0x5e, 0x84, 0xde, + 0x2f, 0x7a, 0x8b, 0x74, 0xe7, 0x67, 0x4b, 0x3b, 0x23, 0x19, 0xbd, 0x6b, 0xf4, 0x11, 0x2f, 0x92, 0xc5, 0xcf, 0xc0, 0xa5, 0x5f, 0x7f, 0xa0, 0x61, 0xf4, 0x53, 0x25, 0x40, 0x8d, 0x03, 0x9d, 0x51, +}; +static const uint8_t ML_DSA_87_sigver_31_sig[] = { + 0x4b, 0x3f, 0x52, 0xf0, 0x81, 0xb3, 0xd9, 0x14, 0xbc, 0x7c, 0x6c, 0x07, 0x3b, 0x18, 0x2b, 0x26, 0x8a, 0xdf, 0x51, 0x89, 0xe2, 0x98, 0xa8, 0x69, 0xbf, 0xb9, 0x91, 0xb1, 0x99, 0x99, 0x3c, 0x10, + 0x42, 0xde, 0xf5, 0xb5, 0x92, 0x70, 0xb6, 0xcd, 0x3f, 0xf8, 0xf9, 0x07, 0xa1, 0xcb, 0x0d, 0x3b, 0x6f, 0xed, 0xca, 0x14, 0x38, 0x38, 0xf8, 0xf8, 0x1e, 0x0c, 0x37, 0x0f, 0xfe, 0xee, 0x6b, 0x25, + 0xcd, 0x07, 0x03, 0x56, 0x41, 0xa0, 0x51, 0x94, 0x4e, 0xab, 0x51, 0x6c, 0xfb, 0xb8, 0x01, 0x53, 0x6b, 0x4f, 0x26, 0x2b, 0x16, 0x19, 0x8e, 0x7d, 0xdb, 0x1d, 0x61, 0xc3, 0x5a, 0x64, 0xd9, 0x0d, + 0x39, 0x48, 0xce, 0xaa, 0xc8, 0xee, 0x58, 0x0d, 0xce, 0xf5, 0x40, 0xed, 0x99, 0xd9, 0x12, 0xbb, 0xa2, 0xbc, 0x4f, 0x51, 0x45, 0xbb, 0x94, 0x9c, 0x73, 0xcc, 0xbd, 0x58, 0x26, 0x13, 0xb1, 0x0e, + 0xaa, 0xe8, 0x63, 0xac, 0xa3, 0x46, 0x83, 0xeb, 0x92, 0x2b, 0x3d, 0xad, 0xfc, 0x74, 0xf7, 0x6f, 0x47, 0xe4, 0x97, 0x86, 0x02, 0x59, 0x24, 0x02, 0xd9, 0x15, 0x43, 0x94, 0xeb, 0x09, 0xfb, 0xc2, + 0xeb, 0xcc, 0xc5, 0x94, 0x73, 0x2f, 0x2d, 0x8b, 0xc3, 0x83, 0x50, 0xe5, 0x53, 0x5a, 0x44, 0x12, 0xa7, 0x7a, 0xdd, 0x79, 0x16, 0x60, 0x45, 0x76, 0xfd, 0x6a, 0x36, 0x31, 0xe5, 0x15, 0xba, 0xf2, + 0x6a, 0x6f, 0x9c, 0xa4, 0x06, 0x1e, 0xbb, 0xdd, 0x3b, 0xec, 0x71, 0x79, 0xad, 0x58, 0x55, 0x2a, 0x5b, 0x50, 0x8f, 0x31, 0x34, 0x8a, 0x56, 0xad, 0x1a, 0xda, 0x7a, 0x05, 0x35, 0x2c, 0x72, 0xc0, + 0x04, 0xb9, 0x4c, 0x47, 0xe7, 0x04, 0x9a, 0x10, 0xb3, 0xa5, 0x9b, 0xf2, 0x38, 0xa8, 0xdf, 0xc6, 0xc7, 0x01, 0x9a, 0x17, 0xf0, 0x5d, 0x5b, 0xfc, 0xb9, 0xd9, 0x3d, 0x9d, 0x1c, 0xcb, 0xcb, 0x47, + 0xf8, 0xc4, 0x38, 0x09, 0x8f, 0xdb, 0xdf, 0xe2, 0x3f, 0x9f, 0x78, 0xbc, 0x28, 0x06, 0x99, 0x08, 0xc6, 0xb9, 0x89, 0x8b, 0x43, 0x4c, 0xbf, 0x37, 0x78, 0x7e, 0x1a, 0xf6, 0xa6, 0xb8, 0x27, 0xe8, + 0x30, 0xe9, 0xf7, 0x62, 0x9c, 0xd8, 0xf5, 0x10, 0x70, 0xc4, 0xc8, 0xa8, 0xde, 0xb2, 0x60, 0xd0, 0x7c, 0x3e, 0x41, 0xd8, 0x49, 0x04, 0x84, 0x87, 0x74, 0x91, 0xb3, 0x9a, 0xa6, 0xd9, 0xe1, 0x0d, + 0x91, 0x74, 0x8b, 0x64, 0xe3, 0x31, 0x60, 0x62, 0x9d, 0x8a, 0xe4, 0x3e, 0xfd, 0x5f, 0x85, 0x78, 0x1e, 0x69, 0xf7, 0x6b, 0x68, 0x95, 0xc1, 0x41, 0xeb, 0xcd, 0xdf, 0xee, 0xb4, 0x85, 0xa0, 0x0b, + 0xdb, 0xa4, 0xf7, 0xc9, 0x91, 0xf5, 0x3f, 0x2f, 0x84, 0x93, 0x39, 0x26, 0xaf, 0x39, 0xe6, 0x96, 0x4a, 0xbf, 0x2d, 0xfe, 0xbb, 0xc1, 0x9a, 0x7e, 0x31, 0xc5, 0x07, 0x97, 0xb8, 0xda, 0x29, 0x31, + 0xe1, 0x0f, 0x3d, 0xac, 0x49, 0x3f, 0x19, 0x8d, 0xfd, 0x78, 0x5d, 0x21, 0xad, 0xb2, 0xc0, 0x62, 0xb0, 0x97, 0xe8, 0x89, 0xa2, 0x07, 0x37, 0xf1, 0x86, 0x00, 0x8f, 0x29, 0x28, 0xf6, 0xb8, 0x4d, + 0x6e, 0x09, 0xe9, 0x75, 0xa8, 0xf2, 0xaa, 0xad, 0xc7, 0x85, 0x23, 0x42, 0x34, 0xfd, 0xa0, 0x37, 0x03, 0xa7, 0xc2, 0x1f, 0x81, 0x2d, 0x65, 0x0b, 0xd2, 0x51, 0x0b, 0x30, 0xf0, 0x55, 0x00, 0x81, + 0x04, 0x7a, 0x15, 0x5c, 0x84, 0x85, 0x86, 0xa9, 0x6f, 0x10, 0x0d, 0x77, 0x4f, 0x3e, 0x39, 0xe0, 0x29, 0xb0, 0x77, 0x7c, 0xd3, 0x3e, 0x68, 0x31, 0x8a, 0x11, 0xc1, 0x98, 0x02, 0x93, 0xfa, 0xd3, + 0xe7, 0x87, 0xd2, 0x0d, 0xfe, 0x7e, 0xee, 0x70, 0x53, 0xc0, 0x5e, 0xeb, 0x6a, 0x15, 0x9b, 0xaa, 0xd4, 0x02, 0x0b, 0x9e, 0xc3, 0xf5, 0x37, 0xda, 0x4d, 0xad, 0xaf, 0xb3, 0xb1, 0xbb, 0x1d, 0xbe, + 0xb2, 0xd5, 0xb8, 0xf9, 0xd0, 0x5a, 0x01, 0x97, 0x98, 0xea, 0xe0, 0xed, 0x09, 0x9d, 0xb0, 0x66, 0xd7, 0x3e, 0xe8, 0xe9, 0xa5, 0x6d, 0xe3, 0x68, 0xe8, 0x78, 0xa7, 0xff, 0x39, 0x14, 0x0d, 0x80, + 0x21, 0xd5, 0x00, 0x85, 0xe6, 0x25, 0x29, 0x41, 0xab, 0x31, 0x53, 0x09, 0xcb, 0x53, 0xaa, 0xa4, 0x9e, 0x86, 0x34, 0x7f, 0xba, 0xd5, 0x4a, 0x1f, 0x87, 0x3e, 0x0c, 0xb4, 0xb8, 0x6a, 0x8d, 0x5b, + 0x1b, 0x2a, 0x95, 0xd4, 0x85, 0xf3, 0x7a, 0x9f, 0xb6, 0x10, 0x5d, 0xf8, 0x44, 0x0f, 0xdb, 0x85, 0x78, 0xf2, 0x62, 0x4c, 0x07, 0x93, 0x29, 0x56, 0x9a, 0x75, 0xf3, 0x6f, 0x2c, 0x55, 0xd8, 0xd0, + 0x30, 0xfb, 0xfe, 0xaa, 0x88, 0x89, 0xad, 0x74, 0x6c, 0x32, 0x3b, 0x1a, 0xc4, 0xec, 0x8c, 0x40, 0x3e, 0x77, 0x5a, 0x6f, 0xbe, 0x59, 0x6e, 0x7e, 0x6a, 0x5a, 0x28, 0x63, 0x57, 0x66, 0x25, 0x14, + 0x99, 0x40, 0x97, 0x6f, 0x7c, 0xc9, 0x36, 0x17, 0xb4, 0x3f, 0xb1, 0x34, 0x89, 0x07, 0x4e, 0xca, 0xc5, 0xbe, 0xb1, 0xa4, 0xdf, 0xe5, 0x8b, 0x9a, 0xd2, 0xe0, 0xc6, 0xa1, 0x5b, 0x76, 0xa7, 0xc2, + 0xd2, 0x08, 0x72, 0x5a, 0x31, 0x23, 0xca, 0x4e, 0x6f, 0x2c, 0x58, 0x47, 0xee, 0x5f, 0xa8, 0x38, 0x49, 0x19, 0xef, 0x89, 0x01, 0x1d, 0x21, 0x9b, 0x25, 0x7b, 0x3e, 0x4d, 0xc4, 0xf2, 0x09, 0x51, + 0x60, 0x84, 0x4c, 0xae, 0xea, 0xfc, 0xf8, 0x57, 0x26, 0x0f, 0x1c, 0x63, 0xd3, 0xb0, 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0x64, 0xdf, 0x08, 0xed, 0x0f, 0xc2, 0x9f, 0xdc, 0x3c, 0x7b, 0x76, 0x2b, + 0x39, 0x93, 0x32, 0x06, 0x33, 0x40, 0xd4, 0x73, 0x96, 0x62, 0x19, 0xbf, 0xc8, 0x7b, 0x4a, 0x3c, 0x91, 0xc8, 0x0f, 0x0e, 0x4b, 0xa8, 0x6a, 0xa1, 0x87, 0x9c, 0x76, 0x62, 0x5c, 0x86, 0x80, 0xa2, + 0x27, 0xab, 0x22, 0x78, 0x06, 0x59, 0xd4, 0xb5, 0xd3, 0x0e, 0x0e, 0x9a, 0x0d, 0xce, 0x09, 0x4d, 0xaf, 0x53, 0x76, 0x79, 0x27, 0x3a, 0x9b, 0x27, 0x7e, 0xd2, 0xa2, 0xe2, 0x50, 0xee, 0xa0, 0x93, + 0x82, 0x04, 0xc9, 0xe9, 0x63, 0xd3, 0x38, 0x52, 0x2a, 0x3d, 0x1a, 0x44, 0x40, 0xe2, 0xa1, 0x23, 0x97, 0xa5, 0xb9, 0x7d, 0x35, 0x65, 0x73, 0x07, 0xbe, 0xc9, 0x4c, 0xc0, 0xc7, 0x2c, 0x5c, 0x6b, + 0x09, 0xda, 0xf2, 0xba, 0xf0, 0x02, 0x0b, 0x7d, 0x8c, 0xa5, 0x60, 0xbf, 0x65, 0x96, 0x92, 0x9a, 0xc8, 0xd4, 0xe5, 0x46, 0x0f, 0x78, 0x37, 0xb4, 0x1b, 0x4a, 0xe6, 0xff, 0x12, 0x33, 0x9d, 0xb8, + 0xeb, 0xd7, 0x02, 0x8a, 0xac, 0xfe, 0x0b, 0x42, 0xe0, 0x2c, 0xde, 0x90, 0x67, 0x83, 0xab, 0xff, 0x69, 0x4e, 0x7c, 0xbe, 0x08, 0x97, 0xed, 0x6e, 0xd4, 0x38, 0xac, 0xdb, 0x00, 0xa4, 0x70, 0x9c, + 0xfe, 0xf7, 0x15, 0x0e, 0xbe, 0xb0, 0x8c, 0x8f, 0xf6, 0xc1, 0x54, 0x38, 0x15, 0xf4, 0xb8, 0x95, 0x1c, 0x3c, 0xac, 0xe4, 0x99, 0x58, 0x64, 0x58, 0xa7, 0x3c, 0x85, 0x72, 0x38, 0x9a, 0xfc, 0x97, + 0x03, 0xa7, 0xfe, 0xaf, 0x67, 0x34, 0x45, 0xfb, 0x4b, 0x0c, 0xca, 0xa5, 0x11, 0xd4, 0xa2, 0xcf, 0x46, 0x3f, 0x57, 0xe3, 0xa6, 0xd7, 0x2d, 0xa0, 0x4b, 0x25, 0x66, 0x99, 0xa3, 0x02, 0x12, 0xe7, + 0xc5, 0x76, 0x8e, 0xfc, 0x15, 0x1b, 0x71, 0x74, 0x41, 0x56, 0x57, 0x5a, 0x2e, 0x94, 0x43, 0x31, 0x92, 0x32, 0xd1, 0x59, 0xc6, 0xcc, 0x00, 0x6f, 0xdb, 0x57, 0xc5, 0x81, 0x73, 0xad, 0x8d, 0x2c, + 0x86, 0x6c, 0x88, 0x87, 0x43, 0x7c, 0x22, 0x38, 0x88, 0xe2, 0x1e, 0xf6, 0x7e, 0x1a, 0x33, 0x2c, 0x1f, 0xdf, 0xcc, 0x15, 0xef, 0x17, 0x47, 0x6f, 0xe0, 0xfb, 0x57, 0xd4, 0x22, 0x98, 0x94, 0x72, + 0x5e, 0x14, 0x74, 0xc1, 0xba, 0x12, 0x16, 0x56, 0x28, 0x17, 0xf1, 0x6c, 0x53, 0xec, 0xe0, 0x1c, 0x7f, 0x9e, 0x36, 0x64, 0xee, 0xdb, 0xba, 0x94, 0x95, 0x29, 0x87, 0x43, 0x1a, 0xa2, 0xa5, 0x7d, + 0x33, 0x0e, 0xb1, 0x1b, 0x28, 0xe6, 0xbf, 0x77, 0x0e, 0x34, 0x9e, 0xce, 0x35, 0x0c, 0x83, 0xe9, 0x0d, 0xa6, 0xfe, 0x0d, 0x0a, 0x4a, 0xb9, 0x71, 0x5d, 0xb2, 0x8b, 0xdd, 0x39, 0x7f, 0xaf, 0xa1, + 0x42, 0x83, 0x02, 0x15, 0x1e, 0x1f, 0x22, 0x2b, 0x44, 0x69, 0x87, 0x9e, 0xb5, 0xd0, 0xf0, 0x18, 0x60, 0x6a, 0x75, 0x94, 0xbf, 0xc8, 0x2c, 0x39, 0x4e, 0x91, 0xb9, 0x26, 0x44, 0x95, 0xc9, 0x06, + 0x3d, 0x50, 0x52, 0x62, 0x79, 0x9b, 0x9f, 0xcb, 0xe6, 0x31, 0x6b, 0xbc, 0xc8, 0xd8, 0x09, 0x30, 0x53, 0x63, 0x6a, 0x74, 0xd4, 0xfa, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x0f, 0x16, 0x1b, 0x1f, 0x29, 0x2e, 0x36, +}; +static const uint8_t ML_DSA_87_sigver_32_msg[] = { + 0x5b, 0xd0, 0x74, 0x13, 0x25, 0x60, 0xf3, 0x73, 0xc7, 0xba, 0x6d, 0xf8, 0xb3, 0x10, 0x12, 0x98, 0x2e, 0xe3, 0x5d, 0xae, 0xf1, 0x97, 0x05, 0xa0, 0xb4, 0x6b, 0x3c, 0x34, 0xd4, 0x74, 0xdc, 0xcc, + 0x8b, 0x08, 0x88, 0xe5, 0xc2, 0xf0, 0x45, 0xba, 0x71, 0xd6, 0xb6, 0xa0, 0x8c, 0x31, 0xca, 0x63, 0xb9, 0x57, 0x6b, 0xcf, 0x10, 0xb4, 0x3b, 0xe4, 0xb5, 0x36, 0x03, 0x6a, 0x1b, 0x65, 0x4a, 0x7e, + 0x5a, 0xf9, 0x29, 0x7e, 0x74, 0xcb, 0xf0, 0x99, 0xb2, 0x6d, 0x63, 0x2d, 0x7b, 0xba, 0xd7, 0xb8, 0xd6, 0x57, 0x99, 0x1e, 0xf3, 0x36, 0xc6, 0xb4, 0x86, 0xfc, 0xb0, 0xb2, 0x8a, 0xf8, 0x28, 0xd4, + 0x03, 0x31, 0x5b, 0x63, 0xe9, 0xa0, 0xba, 0x52, 0x75, 0x5e, 0x06, 0xd6, 0x69, 0xc2, 0xe0, 0x66, 0xe9, 0x8e, 0x63, 0x43, 0x39, 0x4d, 0xb0, 0xb5, 0x5c, 0x12, 0x1f, 0x2e, 0x1d, 0x66, 0xf8, 0xb8, +}; +static const uint8_t ML_DSA_87_sigver_32_sig[] = { + 0xcb, 0x2f, 0x66, 0xef, 0xaa, 0xfb, 0x00, 0x6c, 0x0d, 0x60, 0xa8, 0x1b, 0x32, 0x46, 0x1b, 0x76, 0xa3, 0x1c, 0x3a, 0x81, 0x45, 0x13, 0x44, 0x4b, 0x33, 0x12, 0x46, 0x94, 0x27, 0x39, 0x5e, 0x0b, + 0x53, 0x0c, 0x67, 0xd9, 0xcc, 0x5d, 0x25, 0x52, 0xaa, 0x54, 0x4c, 0x4e, 0x2a, 0x6e, 0x13, 0x2c, 0xa5, 0x5e, 0x18, 0x76, 0x42, 0xdd, 0x9f, 0xc0, 0x89, 0x77, 0xfa, 0xa7, 0x01, 0x23, 0x49, 0xe2, + 0x3e, 0x53, 0x74, 0x18, 0xa9, 0x06, 0x91, 0x95, 0x7b, 0x03, 0xe8, 0xfd, 0x43, 0x5d, 0x67, 0x0f, 0x8a, 0xc6, 0x71, 0xc0, 0xcb, 0xbe, 0x3a, 0xbf, 0x6e, 0xc2, 0x8b, 0xcd, 0x3d, 0x66, 0x36, 0x2e, + 0xc8, 0xa1, 0x34, 0x02, 0xbd, 0x18, 0xc7, 0xd7, 0x82, 0xc9, 0x69, 0x01, 0xea, 0x26, 0x23, 0x5a, 0x34, 0xea, 0xcb, 0x04, 0xd2, 0x94, 0x90, 0x72, 0x43, 0x0b, 0x0d, 0xe3, 0x25, 0x6b, 0x3e, 0xd2, + 0x76, 0x30, 0xef, 0xa9, 0x15, 0xfd, 0x13, 0x02, 0xe1, 0xac, 0xea, 0x76, 0x2b, 0x52, 0x33, 0x0e, 0x7a, 0xcb, 0x34, 0xf3, 0x06, 0xdf, 0x3d, 0xe2, 0x6c, 0x98, 0x55, 0x9e, 0x36, 0x2e, 0x93, 0x0e, + 0x89, 0x91, 0x9d, 0x1c, 0x26, 0x41, 0xbd, 0x37, 0x54, 0x2c, 0x03, 0x5a, 0x7e, 0xf2, 0x5f, 0x6b, 0x8c, 0x29, 0x04, 0x46, 0x67, 0xed, 0x39, 0x4f, 0x0e, 0x3f, 0x83, 0x08, 0x76, 0xdd, 0xc2, 0x96, + 0xc8, 0x80, 0xfe, 0xbe, 0xb3, 0x0d, 0x87, 0x87, 0x69, 0x11, 0xb1, 0xf4, 0xfa, 0x58, 0x2d, 0x19, 0x1f, 0xc7, 0xc2, 0x74, 0xf5, 0x2c, 0x5e, 0x53, 0xe0, 0xdf, 0x6f, 0x0a, 0x5c, 0x2c, 0x3b, 0x6d, + 0x78, 0x1e, 0x22, 0x2b, 0x72, 0xc0, 0xa4, 0x1c, 0x5a, 0x40, 0xf4, 0x89, 0x86, 0xea, 0x28, 0xa6, 0x29, 0x6b, 0xdc, 0xfc, 0x48, 0xfe, 0x8f, 0xf0, 0xa5, 0x57, 0x28, 0x4a, 0x4c, 0xb4, 0x96, 0x80, + 0x59, 0xf4, 0x4d, 0xa7, 0xfb, 0x77, 0xa7, 0xa5, 0xdb, 0x86, 0x84, 0xd6, 0x15, 0x1e, 0xe3, 0x5b, 0xf1, 0xbc, 0x79, 0x58, 0xc0, 0x86, 0xa1, 0xe5, 0xc9, 0x07, 0xc6, 0x44, 0x69, 0xaf, 0x21, 0x3c, + 0x3e, 0x78, 0x66, 0xd4, 0x04, 0x50, 0x8f, 0x72, 0x37, 0x87, 0xf6, 0xa1, 0x07, 0x29, 0x14, 0xf6, 0x62, 0x79, 0x37, 0x6f, 0xbe, 0xcd, 0xc8, 0x53, 0x90, 0x6e, 0x8e, 0x80, 0x6b, 0x3d, 0x07, 0xf0, + 0x6e, 0x63, 0x55, 0xd5, 0xf9, 0x71, 0x91, 0xe4, 0xc5, 0x5c, 0x55, 0xad, 0x78, 0x27, 0x3f, 0x10, 0x65, 0x0e, 0x70, 0x18, 0xa9, 0x89, 0x54, 0x2d, 0x68, 0xee, 0x80, 0x73, 0x50, 0x1d, 0x33, 0x1c, + 0x7b, 0x9d, 0x80, 0x04, 0x9c, 0x94, 0xb3, 0xf8, 0xcf, 0x6f, 0x0d, 0x7e, 0x56, 0x9c, 0x53, 0xeb, 0x76, 0xa4, 0x86, 0x1b, 0x94, 0xdb, 0x95, 0xaa, 0xb1, 0xc0, 0x9b, 0xae, 0xe0, 0xb9, 0x98, 0x01, + 0x2e, 0x72, 0xdf, 0x70, 0x21, 0x76, 0xce, 0x95, 0x78, 0xf1, 0x99, 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0x13, 0x1d, 0xac, 0x0d, 0x6c, 0x22, 0x62, 0xd3, 0x30, 0x26, 0xa6, 0xf9, 0xf0, 0x47, 0xdc, 0xb0, 0xae, 0x1c, 0x4a, 0x39, 0x4e, 0xdd, 0x0c, 0x5d, 0x89, 0x9b, 0x03, 0xdd, + 0x4d, 0x58, 0x75, 0x76, 0x8d, 0x01, 0x0d, 0x16, 0x40, 0x41, 0x8d, 0x96, 0xad, 0xc7, 0xcc, 0xd4, 0x23, 0x37, 0x41, 0x51, 0x56, 0x62, 0x64, 0x66, 0x78, 0xc8, 0xd0, 0xeb, 0xef, 0x09, 0x46, 0x69, + 0x87, 0x88, 0x89, 0xc1, 0xd5, 0x15, 0x17, 0x18, 0x27, 0x5e, 0x9f, 0xba, 0xbd, 0xc0, 0x2f, 0x3f, 0x5b, 0x61, 0x70, 0x94, 0xae, 0xc7, 0x16, 0x18, 0x2d, 0x3d, 0x4e, 0x5b, 0x82, 0xa2, 0xd3, 0xd7, + 0xe6, 0xed, 0xf1, 0x23, 0x41, 0x5b, 0x98, 0xb1, 0xe9, 0xea, 0x00, 0x05, 0x10, 0x1d, 0x25, 0x2e, 0x36, 0x43, 0x4a, +}; +static const uint8_t ML_DSA_87_sigver_33_msg[] = { + 0xfa, 0x88, 0x98, 0xa1, 0x92, 0x36, 0xfe, 0xb6, 0xdf, 0x01, 0x46, 0x96, 0x74, 0xf0, 0x14, 0x83, 0x3f, 0x99, 0x73, 0x80, 0xa9, 0x17, 0xdc, 0x1c, 0x6e, 0x03, 0xe5, 0xa1, 0xec, 0x12, 0x89, 0x65, + 0x81, 0x34, 0xe1, 0x6d, 0xc7, 0xcb, 0xfd, 0x74, 0x5a, 0x08, 0xae, 0x05, 0x63, 0xd5, 0x30, 0xdb, 0x01, 0xb0, 0x97, 0xfa, 0x23, 0xc9, 0x22, 0xdb, 0xf5, 0x60, 0x6d, 0x90, 0xab, 0x58, 0xbe, 0x8d, + 0x06, 0xa9, 0x6c, 0xa5, 0xcb, 0x15, 0x33, 0xd6, 0x93, 0x97, 0x49, 0xcc, 0xf2, 0xd1, 0x7c, 0xdb, 0x93, 0x91, 0xfa, 0xaa, 0xa0, 0x90, 0x0f, 0xed, 0xda, 0xac, 0x82, 0xfb, 0xa2, 0x91, 0x0b, 0xa4, + 0xd4, 0xa1, 0xd7, 0xe0, 0xb1, 0xc4, 0x6c, 0xfb, 0x5a, 0x38, 0x8a, 0x33, 0xb7, 0xfd, 0x87, 0x78, 0x5b, 0x10, 0x22, 0xb7, 0xfc, 0x92, 0x2f, 0xde, 0x89, 0x1e, 0x6a, 0x37, 0x10, 0x8e, 0x0e, 0x1e, +}; +static const uint8_t ML_DSA_87_sigver_33_sig[] = { + 0x2b, 0x03, 0x16, 0xa1, 0xa5, 0x24, 0x84, 0xbe, 0xd6, 0x20, 0x83, 0xad, 0xa2, 0x7b, 0x20, 0x41, 0x06, 0xf7, 0xb0, 0xe5, 0x71, 0x76, 0x21, 0x08, 0x8e, 0x95, 0xe2, 0xce, 0xff, 0xc2, 0xc8, 0x3d, + 0x91, 0xbf, 0x58, 0xab, 0xe0, 0x6b, 0x2f, 0x1d, 0x6c, 0xcb, 0x15, 0x53, 0x6a, 0x49, 0xce, 0xb8, 0xc1, 0xe6, 0x11, 0xbc, 0x67, 0xdc, 0x1a, 0xfe, 0x04, 0x85, 0x9c, 0xf3, 0xa7, 0x14, 0xeb, 0x8d, + 0xd6, 0xa9, 0xdb, 0x99, 0x0a, 0x52, 0xe0, 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0x53, 0x57, 0x96, 0x78, 0x44, 0x4b, 0xd3, 0xdf, 0xa5, 0xb6, 0x5b, 0xc3, 0x94, 0xcf, 0xc8, 0xdc, 0xef, 0x55, 0x43, 0x0c, 0x35, 0x84, + 0x60, 0x98, 0x9f, 0xb4, 0xb7, 0x32, 0x3d, 0x41, 0x5c, 0xba, 0xdc, 0xf5, 0xf7, 0x06, 0x1c, 0x2e, 0x84, 0xa5, 0xc7, 0xeb, 0x0a, 0xa1, 0xcf, 0xf5, 0x1c, 0x23, 0x3b, 0x71, 0x99, 0x9a, 0xc0, 0x1d, + 0x3c, 0x42, 0x4c, 0x7f, 0x9f, 0xa3, 0xdf, 0x08, 0x21, 0x89, 0xa2, 0xc0, 0xca, 0xe4, 0xf8, 0x37, 0x41, 0x77, 0x88, 0xa7, 0xd0, 0xde, 0xf8, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05, 0x0d, 0x14, 0x18, 0x1f, 0x27, 0x2f, 0x36, +}; +static const uint8_t ML_DSA_87_sigver_34_msg[] = { + 0x3f, 0xd7, 0x8c, 0xaf, 0x8d, 0xfe, 0xc5, 0x32, 0x28, 0x2c, 0x5d, 0xde, 0x30, 0x9b, 0xaf, 0x88, 0xcf, 0x1e, 0x58, 0xab, 0xf7, 0x93, 0x42, 0x58, 0x08, 0x53, 0xda, 0x3e, 0x88, 0x6e, 0x21, 0x8b, + 0x8c, 0xb1, 0xfe, 0xa5, 0x59, 0x6a, 0xfb, 0x30, 0x6b, 0x18, 0x62, 0x4d, 0x07, 0x66, 0x99, 0xba, 0xe4, 0x75, 0x9c, 0xcb, 0x55, 0x1c, 0x63, 0x3d, 0x7c, 0xe6, 0x19, 0x89, 0x2f, 0x30, 0x4b, 0x8b, + 0x79, 0x65, 0x45, 0xca, 0x55, 0x94, 0xfd, 0x6b, 0xe9, 0xae, 0xc8, 0x5a, 0xd1, 0xbe, 0x3e, 0x22, 0xdc, 0x0a, 0x6f, 0xd3, 0xf9, 0x9a, 0xf1, 0xd1, 0x7c, 0x54, 0x39, 0x57, 0xd5, 0xe5, 0xde, 0x33, + 0x73, 0x34, 0x0c, 0x46, 0x88, 0x76, 0xc4, 0x54, 0x48, 0x95, 0x66, 0x46, 0xee, 0xdf, 0x92, 0xb6, 0x3d, 0xef, 0x6f, 0x0e, 0x64, 0xbe, 0xbf, 0x85, 0xab, 0xcd, 0x40, 0x1a, 0xe8, 0x46, 0x01, 0x4e, +}; +static const uint8_t ML_DSA_87_sigver_34_sig[] = { + 0xce, 0x15, 0xb9, 0xc2, 0x13, 0x01, 0x8f, 0x31, 0xdb, 0x2b, 0x8d, 0x42, 0x29, 0x25, 0x58, 0xc3, 0x07, 0xcf, 0x88, 0x3c, 0x9a, 0xeb, 0x56, 0x7c, 0x33, 0xdc, 0x2a, 0xb9, 0x4f, 0x94, 0x93, 0xe9, + 0xe2, 0x40, 0xbb, 0xfb, 0x64, 0x55, 0x30, 0x8a, 0xcf, 0x55, 0x70, 0x6d, 0xf3, 0x47, 0xe5, 0x5c, 0xe5, 0x0b, 0xb5, 0xa8, 0x0f, 0xfe, 0xbe, 0x86, 0x56, 0xf5, 0xea, 0x7d, 0x81, 0x6f, 0x6e, 0x99, + 0x6f, 0x4f, 0xf5, 0xca, 0xe3, 0x56, 0xe5, 0xd0, 0x71, 0x6a, 0x95, 0x9b, 0xab, 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0x39, 0xc7, 0xc4, 0xe7, 0xb3, 0x90, 0x3c, 0x27, 0xaa, 0x7c, 0xc1, 0xc1, 0xe2, 0x5f, 0x8f, 0x99, + 0x15, 0x62, 0xa2, 0xc6, 0x2f, 0x42, 0x4d, 0x53, 0x6c, 0x9f, 0xd4, 0xd7, 0xdd, 0xf1, 0xf5, 0x36, 0x38, 0x42, 0x47, 0x72, 0x73, 0x81, 0xa3, 0xb4, 0xc9, 0xd5, 0xeb, 0xf6, 0x1b, 0x22, 0x27, 0x30, + 0x6f, 0x82, 0xc3, 0xdb, 0x65, 0x86, 0xa3, 0xa8, 0x1a, 0x4f, 0x57, 0x64, 0x6c, 0x9b, 0xe9, 0xfc, 0x61, 0x73, 0x75, 0x80, 0x1a, 0x1b, 0x3e, 0x72, 0x86, 0x95, 0xaf, 0xb0, 0xd4, 0xec, 0xf1, 0xfa, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x0f, 0x1c, 0x24, 0x28, 0x30, 0x34, 0x40, +}; +static const uint8_t ML_DSA_87_sigver_35_msg[] = { + 0xb6, 0xa3, 0x20, 0x36, 0x8a, 0xe2, 0x14, 0xa1, 0x2b, 0x14, 0xa0, 0xa9, 0x50, 0x31, 0x71, 0x00, 0x00, 0x81, 0xaa, 0x86, 0x31, 0x15, 0x1d, 0x69, 0x40, 0x4a, 0x1d, 0x77, 0xc6, 0xee, 0xfc, 0x21, + 0x9a, 0x54, 0x0b, 0x4f, 0x48, 0x8d, 0x2e, 0xde, 0x8c, 0x98, 0x73, 0x34, 0x52, 0x44, 0xce, 0x04, 0x7d, 0xde, 0x56, 0xb6, 0x36, 0xc8, 0x50, 0xc1, 0xf2, 0x68, 0xc3, 0xb8, 0xc1, 0xa0, 0x39, 0x9e, + 0x49, 0xf2, 0xee, 0x1e, 0x36, 0xef, 0xde, 0x57, 0x38, 0xe1, 0x4f, 0x82, 0xd7, 0x0f, 0xd1, 0x04, 0x03, 0xde, 0x18, 0x00, 0x8d, 0x45, 0x13, 0x88, 0x72, 0x42, 0x3e, 0x26, 0xe4, 0x66, 0xbf, 0xdb, + 0x1a, 0x4b, 0x44, 0x23, 0x49, 0xd1, 0xe3, 0x95, 0xde, 0xe4, 0xfc, 0x4a, 0x51, 0xc3, 0x04, 0x30, 0x8f, 0xa8, 0x1e, 0x81, 0x7b, 0x53, 0xe9, 0x8d, 0x15, 0x38, 0xef, 0x1a, 0x84, 0xbd, 0x3b, 0x34, +}; +static const uint8_t ML_DSA_87_sigver_35_sig[] = { + 0xc6, 0x2e, 0x45, 0x88, 0x02, 0xb7, 0x06, 0x20, 0x14, 0xe7, 0xa4, 0x4f, 0xe2, 0xd8, 0xa3, 0x9a, 0x16, 0xdc, 0x69, 0x9c, 0x77, 0x7c, 0xe2, 0x58, 0x84, 0x6b, 0xca, 0x2c, 0x9b, 0x31, 0x0f, 0x83, + 0x96, 0x81, 0x47, 0x54, 0x29, 0x53, 0x65, 0xab, 0xf0, 0x71, 0x32, 0x17, 0x22, 0xf3, 0xbe, 0x06, 0xa0, 0x00, 0xb8, 0x84, 0x75, 0xf8, 0x8d, 0xa9, 0x08, 0x8f, 0x63, 0x6d, 0xb9, 0x74, 0xe4, 0xca, + 0x96, 0xf3, 0x8f, 0x66, 0x7c, 0x7f, 0x13, 0x67, 0x44, 0x68, 0xa0, 0x1a, 0xec, 0x08, 0x44, 0x54, 0xfc, 0x5a, 0x71, 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0x74, 0xee, 0xe2, 0x1f, 0x07, 0x50, 0x62, 0x77, 0xc4, 0xaf, 0x20, 0x0d, 0xeb, 0x32, 0x7d, + 0xfb, 0x94, 0xe4, 0xc1, 0x47, 0x2c, 0x23, 0x5f, 0x4e, 0xed, 0xe6, 0x1e, 0xf2, 0x1f, 0x55, 0xa6, 0xe7, 0x08, 0x69, 0x83, 0xa6, 0x28, 0x25, 0x39, 0x46, 0x27, 0x6f, 0x58, 0x80, 0xdd, 0x95, 0xb9, + 0xba, 0x8c, 0x25, 0x85, 0xe3, 0xdf, 0xd2, 0x56, 0xc3, 0x5d, 0x6e, 0xaf, 0x7c, 0xb2, 0xa6, 0xef, 0xf8, 0x92, 0x98, 0xfc, 0xfc, 0x77, 0x31, 0xe9, 0xe2, 0x4f, 0xe3, 0x75, 0x88, 0x18, 0x8b, 0xea, + 0x69, 0x2c, 0x3a, 0x65, 0xf5, 0x76, 0x8a, 0x7f, 0x5b, 0x0b, 0x98, 0x38, 0x6a, 0x24, 0xc8, 0x0c, 0x9a, 0x27, 0x6c, 0xcb, 0x0e, 0x24, 0xb1, 0xd4, 0xd6, 0x84, 0xb1, 0xe2, 0xaa, 0x31, 0xb8, 0x6e, + 0x75, 0x2d, 0x33, 0x83, 0x32, 0x47, 0xb4, 0x65, 0x8f, 0x9f, 0x31, 0x99, 0x9d, 0x7d, 0x1c, 0x54, 0x73, 0xe4, 0x86, 0x5c, 0x97, 0x60, 0x28, 0xda, 0x0d, 0x1b, 0x1d, 0xd5, 0x5c, 0xa9, 0xce, 0x08, + 0x25, 0xab, 0x26, 0x4b, 0xb3, 0xf2, 0x4f, 0xc1, 0x28, 0x6a, 0x59, 0x84, 0x9e, 0xa9, 0xba, 0xdb, 0xfe, 0x4e, 0xec, 0xf9, 0x04, 0x75, 0x1f, 0xda, 0xcb, 0x74, 0x63, 0x72, 0x59, 0xe7, 0x5c, 0x01, + 0x09, 0x46, 0xb2, 0xbc, 0xc1, 0xcd, 0x03, 0x1f, 0x32, 0x78, 0x7e, 0xaa, 0xb4, 0xc5, 0x3c, 0x59, 0x5c, 0xca, 0x2e, 0x34, 0x4d, 0x6e, 0x70, 0x79, 0xc0, 0xf6, 0x14, 0x19, 0x57, 0x5a, 0x62, 0x66, + 0x7d, 0x8c, 0xa1, 0xab, 0xee, 0xef, 0xfa, 0x5d, 0x82, 0x84, 0x88, 0xb4, 0xbd, 0xad, 0xaf, 0xb4, 0xbb, 0x11, 0x57, 0xa4, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x06, 0x0e, 0x12, 0x1a, 0x27, 0x2d, 0x31, 0x34, +}; +static const uint8_t ML_DSA_87_sigver_36_msg[] = { + 0x20, 0x06, 0x17, 0x16, 0x0b, 0xc7, 0x47, 0x3b, 0x67, 0x98, 0x3f, 0x09, 0x0e, 0xb2, 0x4e, 0xfa, 0x04, 0xf3, 0xdf, 0x77, 0x22, 0xb6, 0x28, 0x84, 0x37, 0xf3, 0x2c, 0xba, 0xce, 0x38, 0x7e, 0xca, + 0x67, 0xe3, 0x84, 0xf4, 0xea, 0xdc, 0xbf, 0xdf, 0x21, 0x34, 0x1a, 0x81, 0xc0, 0xd2, 0x42, 0x70, 0xc2, 0xd4, 0x68, 0x19, 0x64, 0x44, 0x66, 0xa5, 0xfa, 0x02, 0xf2, 0xcb, 0xa7, 0x68, 0x6f, 0x81, + 0x19, 0x00, 0xdc, 0x50, 0x23, 0x11, 0xce, 0x6c, 0x0d, 0x43, 0xbb, 0x88, 0x5b, 0x22, 0x86, 0x29, 0xbe, 0xd3, 0x23, 0x3d, 0xb9, 0x98, 0xcb, 0x43, 0x33, 0xa7, 0x05, 0xb9, 0x49, 0xcd, 0x23, 0xdd, + 0xbd, 0x75, 0xa4, 0x47, 0xfc, 0x00, 0x43, 0xe6, 0x12, 0x22, 0xb2, 0x2f, 0x87, 0x99, 0x4d, 0x00, 0xbb, 0x3b, 0x98, 0xca, 0x46, 0x2c, 0xf7, 0xbe, 0x47, 0xd8, 0x50, 0x66, 0xf7, 0xe0, 0x8e, 0xbf, +}; +static const uint8_t ML_DSA_87_sigver_36_sig[] = { + 0xd1, 0x75, 0x0d, 0xcc, 0xd7, 0xd2, 0x5a, 0xf7, 0xd1, 0x6c, 0x5f, 0xc6, 0x80, 0xd2, 0xad, 0xfc, 0x8a, 0xf7, 0xac, 0xcd, 0x53, 0x61, 0x18, 0x23, 0x40, 0x64, 0x48, 0xeb, 0x4b, 0x74, 0x8f, 0x85, + 0xb0, 0x8c, 0x71, 0xc7, 0x0a, 0xa9, 0x4a, 0x92, 0xae, 0x83, 0x78, 0x2f, 0x51, 0x0a, 0x03, 0x65, 0xdc, 0x9a, 0x34, 0x2c, 0x97, 0xa9, 0xf4, 0x30, 0xf6, 0x2e, 0x87, 0xd1, 0x63, 0xae, 0x14, 0x22, + 0x42, 0x7a, 0xcb, 0x89, 0xac, 0x0d, 0xd0, 0xc1, 0xfd, 0xd2, 0x5a, 0xce, 0x09, 0x7a, 0x2e, 0x78, 0x52, 0x49, 0x4d, 0x50, 0x89, 0xe1, 0xbc, 0x6c, 0xb1, 0xe0, 0x8a, 0x66, 0xa4, 0x8c, 0xe3, 0x91, + 0xbb, 0x3f, 0xa9, 0xc6, 0x91, 0x18, 0x2d, 0x7c, 0xc1, 0x8e, 0x37, 0x8e, 0x50, 0xe1, 0x29, 0xa8, 0x7a, 0x33, 0xbe, 0x64, 0x16, 0xd0, 0x4e, 0x41, 0x1e, 0xfb, 0xc9, 0xf1, 0x9b, 0x69, 0xbd, 0xa9, + 0x66, 0xc7, 0x78, 0x64, 0x4f, 0xa7, 0xc6, 0x2f, 0xa6, 0x3b, 0x94, 0xbd, 0x45, 0xaa, 0xc7, 0x03, 0x35, 0x07, 0xbc, 0x11, 0x55, 0x22, 0x4c, 0x12, 0x4f, 0xe2, 0xdb, 0xab, 0xbc, 0x5f, 0xec, 0x1c, + 0x65, 0xad, 0x76, 0x1c, 0x92, 0x55, 0x2a, 0x6b, 0x4a, 0x21, 0x93, 0xb6, 0x43, 0x9b, 0x1e, 0xad, 0xd0, 0x40, 0x11, 0xa7, 0xd6, 0x30, 0xcd, 0x3b, 0x72, 0x81, 0x12, 0xbe, 0x33, 0xd6, 0xa9, 0x01, + 0x3f, 0x8b, 0xa2, 0xd3, 0xbf, 0xdf, 0x78, 0xcb, 0x08, 0x4d, 0x72, 0x9c, 0x50, 0xe9, 0xa7, 0x1e, 0x4b, 0xae, 0x1a, 0x92, 0x1b, 0x60, 0x60, 0x69, 0xb5, 0x57, 0x57, 0x4e, 0x3d, 0x89, 0x26, 0x69, + 0x97, 0xdb, 0xc1, 0xf3, 0xfe, 0x0b, 0x71, 0x3c, 0xd8, 0xcb, 0xb6, 0x6c, 0x29, 0xcd, 0x43, 0x42, 0x53, 0xc1, 0x2f, 0x8c, 0xe8, 0x97, 0xc9, 0xd8, 0x5d, 0x88, 0xf8, 0x9f, 0x95, 0x31, 0x49, 0xb3, + 0xa4, 0x97, 0x8d, 0x38, 0xfc, 0x3a, 0xb6, 0x30, 0x8f, 0x32, 0x92, 0xba, 0x7b, 0xe6, 0xc3, 0xaf, 0xd9, 0xd6, 0x01, 0x45, 0xf5, 0xcc, 0x7b, 0x62, 0xfc, 0xfc, 0x46, 0xc6, 0x24, 0x39, 0x86, 0x4d, + 0x89, 0x88, 0x19, 0xeb, 0xf9, 0x5b, 0x76, 0x14, 0x41, 0x5f, 0xf2, 0x76, 0x9a, 0xc9, 0x92, 0x0f, 0x12, 0xc4, 0x75, 0x52, 0xb5, 0x69, 0xf5, 0x85, 0x0f, 0x45, 0x45, 0x77, 0x62, 0x94, 0x5c, 0x5f, + 0x2e, 0x16, 0xd5, 0xd7, 0x01, 0x29, 0xa0, 0xb0, 0xda, 0x67, 0x7d, 0x00, 0x2a, 0x47, 0xf7, 0x30, 0xab, 0xe8, 0xb1, 0xab, 0xb9, 0x15, 0x52, 0x3d, 0x87, 0x2d, 0x6e, 0xdc, 0x68, 0x35, 0x97, 0x2f, + 0xc8, 0xda, 0x39, 0x53, 0x15, 0xd2, 0x74, 0x2b, 0x70, 0x8a, 0x07, 0x46, 0xff, 0x5e, 0x54, 0x96, 0x0c, 0x20, 0xc1, 0x95, 0xa3, 0x36, 0xc8, 0x38, 0x3b, 0x2c, 0xc1, 0xf9, 0x7e, 0x5d, 0x59, 0xbb, + 0x57, 0xbf, 0x91, 0xad, 0xdb, 0xff, 0xaa, 0x5c, 0x31, 0xd1, 0x0b, 0x43, 0x8a, 0xd9, 0xb4, 0xef, 0xa7, 0x65, 0x8c, 0x40, 0x48, 0xa1, 0x72, 0x26, 0xb6, 0x21, 0xf7, 0x87, 0xb9, 0xd7, 0xa0, 0x6a, + 0xd1, 0x4f, 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0xf1, 0x9e, 0xe1, 0x8e, 0xc1, 0x4d, 0x2a, 0xd6, 0x93, 0xad, 0xaa, 0x3c, 0x92, 0xef, + 0x4a, 0x1a, 0x9c, 0x61, 0xfb, 0xd2, 0x2b, 0x8d, 0x67, 0xa9, 0x8e, 0xa2, 0x61, 0x72, 0x92, 0xd3, 0xb7, 0x5b, 0xc1, 0x7d, 0x9c, 0xe1, 0x51, 0x2d, 0xcf, 0x5f, 0x47, 0xe6, 0xfe, 0x50, 0x0e, 0x5f, + 0x2f, 0x94, 0xe4, 0xd2, 0x7c, 0xe0, 0x83, 0xa8, 0xfb, 0xef, 0x4f, 0x7b, 0xe4, 0x79, 0xfb, 0x0b, 0x4b, 0xfe, 0x84, 0x88, 0x0e, 0x6a, 0x60, 0xb2, 0x03, 0xc8, 0x1d, 0xc0, 0x4f, 0x9a, 0xee, 0x20, + 0xa6, 0x41, 0xa0, 0x1b, 0x26, 0x30, 0x80, 0xbd, 0xe6, 0xec, 0x02, 0x14, 0x07, 0xc7, 0xf1, 0x82, 0x31, 0x62, 0xee, 0x44, 0xeb, 0xd9, 0x46, 0x73, 0xde, 0x5d, 0xb5, 0xfa, 0x5c, 0x7b, 0xa4, 0xe6, + 0x90, 0x08, 0xc7, 0x5e, 0x15, 0xb1, 0xf7, 0xba, 0x62, 0xbe, 0xdc, 0x28, 0xdb, 0x36, 0x83, 0xdc, 0xeb, 0x5e, 0xbd, 0x71, 0x9b, 0xab, 0x6e, 0x6b, 0xe3, 0x71, 0x90, 0xe0, 0xd7, 0x13, 0x9f, 0x78, + 0x61, 0x1e, 0xc6, 0xd1, 0x57, 0xe2, 0x22, 0x09, 0x7f, 0xcf, 0x43, 0x59, 0x92, 0x0a, 0xa5, 0x8f, 0x4c, 0xdc, 0x56, 0xd1, 0x41, 0x7e, 0xe8, 0xd4, 0x59, 0x16, 0xce, 0x05, 0x5c, 0x9c, 0x34, 0x59, + 0xb6, 0xb5, 0x22, 0xa5, 0x66, 0xaf, 0xc5, 0x59, 0x70, 0xbb, 0x6a, 0xbb, 0x2d, 0x9d, 0x2a, 0x2f, 0x93, 0xb3, 0x19, 0x13, 0x12, 0xc4, 0xac, 0x2d, 0x56, 0xef, 0x96, 0xff, 0x3d, 0xe0, 0x00, 0xff, + 0x9c, 0x67, 0xac, 0xd1, 0xfe, 0x53, 0x91, 0x75, 0xa2, 0x3f, 0x90, 0xfd, 0x3c, 0x7a, 0xbb, 0x5c, 0x25, 0x02, 0x8a, 0x68, 0x8f, 0xbe, 0x4d, 0xaa, 0xf7, 0xa8, 0xdb, 0x6c, 0xfd, 0x53, 0x1a, 0xba, + 0x7c, 0x8f, 0xc3, 0xcb, 0x98, 0x36, 0xc4, 0x14, 0x79, 0x33, 0x09, 0x6f, 0xdb, 0x40, 0x65, 0xb7, 0xa8, 0x8b, 0x42, 0xcb, 0x20, 0x87, 0x2e, 0xd4, 0x2f, 0x15, 0x9a, 0x2f, 0x70, 0xf7, 0xfa, 0x17, + 0x40, 0xce, 0x45, 0xd2, 0x29, 0x5d, 0xf3, 0x2c, 0xbc, 0x8b, 0xac, 0x47, 0xed, 0x2e, 0xd5, 0x6d, 0xfb, 0x5b, 0x60, 0xf1, 0xc5, 0x78, 0x61, 0x2e, 0x0a, 0x0e, 0xda, 0x21, 0xc2, 0x45, 0x85, 0xdf, + 0xe3, 0x25, 0x40, 0x2d, 0xe9, 0x84, 0x0b, 0x64, 0x9f, 0x2f, 0x85, 0xd4, 0xc6, 0x2e, 0x04, 0x8a, 0xc8, 0x4e, 0x56, 0xb5, 0x55, 0x75, 0x4e, 0x68, 0xf3, 0x2d, 0x25, 0xf6, 0x5e, 0x12, 0x63, 0xf5, + 0x40, 0x70, 0xa6, 0xb3, 0xb9, 0xd6, 0xd9, 0xec, 0x09, 0x4c, 0x4d, 0x50, 0x7e, 0xa6, 0xac, 0xb8, 0xbe, 0xd0, 0x22, 0x45, 0xcf, 0xe8, 0x38, 0x3f, 0x9a, 0xa2, 0xb6, 0xc8, 0xfb, 0x92, 0xde, 0xe0, + 0x3c, 0x67, 0x6b, 0x73, 0x9a, 0xae, 0xf4, 0x0e, 0x48, 0x4c, 0x82, 0xfa, 0x0a, 0x27, 0x28, 0x84, 0xbd, 0xbe, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x08, 0x12, 0x16, 0x1d, 0x20, 0x27, 0x2c, 0x32, +}; +static const uint8_t ML_DSA_87_sigver_37_msg[] = { + 0x81, 0xe4, 0x4e, 0x2a, 0x69, 0x14, 0x1d, 0x37, 0xcc, 0x48, 0x65, 0xe6, 0x6e, 0x76, 0x37, 0x31, 0x77, 0x9f, 0x2c, 0xe3, 0x5f, 0x8f, 0x88, 0xbf, 0xe8, 0xda, 0x1d, 0x19, 0xd8, 0x5c, 0x15, 0x93, + 0x04, 0xed, 0x11, 0xc1, 0xc1, 0x56, 0xde, 0x03, 0x05, 0xe8, 0x66, 0xe8, 0xe2, 0x5e, 0x99, 0x6d, 0xcb, 0x08, 0x31, 0x62, 0x5e, 0x79, 0x00, 0x93, 0xa5, 0x0f, 0x80, 0x48, 0x17, 0x22, 0x1f, 0x32, + 0x30, 0x47, 0x45, 0x08, 0xe3, 0x03, 0x3a, 0xa8, 0x01, 0x8a, 0x5c, 0x60, 0x23, 0x2e, 0xcf, 0x69, 0x22, 0x34, 0x3b, 0xf7, 0x8e, 0x45, 0xdb, 0x49, 0xf6, 0xf5, 0xc4, 0xfb, 0xfe, 0xdf, 0x8e, 0x61, + 0x48, 0x89, 0x16, 0xb2, 0xc7, 0xbc, 0xa2, 0x07, 0x00, 0xc0, 0xa7, 0x39, 0xc2, 0xf6, 0x88, 0x6a, 0x0b, 0x7f, 0x27, 0xa5, 0x83, 0x67, 0xbc, 0x46, 0xf9, 0x0d, 0xc5, 0x86, 0x0a, 0x3a, 0x69, 0xa8, +}; +static const uint8_t ML_DSA_87_sigver_37_sig[] = { + 0x1f, 0xae, 0x6d, 0xeb, 0x76, 0xe4, 0xe0, 0x31, 0x3c, 0xb7, 0x7e, 0x0f, 0x14, 0xc2, 0x1a, 0x09, 0x5a, 0xc1, 0x1e, 0xa2, 0x6c, 0x1e, 0x16, 0xfc, 0xb3, 0x16, 0xed, 0x13, 0xc1, 0x35, 0x67, 0x46, + 0xe8, 0x9b, 0x6a, 0x14, 0xb9, 0x17, 0x2a, 0x80, 0x47, 0xae, 0xe8, 0x54, 0x63, 0xb6, 0x36, 0x70, 0xbd, 0x3d, 0x5a, 0x98, 0x76, 0x45, 0x2b, 0xa2, 0x53, 0x92, 0xc0, 0x7a, 0xd1, 0x79, 0x48, 0x4c, + 0x74, 0xf6, 0x46, 0x1d, 0xf5, 0xc7, 0x11, 0x49, 0xf9, 0xfa, 0xd2, 0x8f, 0x43, 0x47, 0x1d, 0x81, 0x10, 0x66, 0xbd, 0xaa, 0x0e, 0x53, 0xef, 0x8b, 0x72, 0x8d, 0x14, 0xd8, 0xc5, 0x57, 0x92, 0x4c, + 0x9a, 0xa7, 0xc1, 0x47, 0x1e, 0x31, 0x81, 0x2f, 0x0e, 0xe8, 0x6f, 0x48, 0x46, 0x71, 0x0b, 0x4f, 0x50, 0xaa, 0x69, 0x3d, 0xea, 0x90, 0x9b, 0x1c, 0xbb, 0xf6, 0x2b, 0xf6, 0x4a, 0x54, 0x9a, 0x7a, + 0xeb, 0x38, 0x28, 0x64, 0x88, 0xbe, 0x3a, 0x5f, 0x1d, 0x70, 0xd4, 0x67, 0xe0, 0xa8, 0x9f, 0x58, 0x5b, 0x37, 0x06, 0x37, 0x5f, 0xb3, 0x9b, 0xbf, 0x87, 0x8b, 0xf9, 0x40, 0xbf, 0x4e, 0xbc, 0x8b, + 0x14, 0x61, 0x4b, 0xce, 0x15, 0x4d, 0x72, 0x6d, 0xd9, 0x66, 0x8a, 0x62, 0xa9, 0x82, 0x15, 0x7c, 0x44, 0x4f, 0xc9, 0x72, 0x88, 0x5f, 0x36, 0xcc, 0xa9, 0xa7, 0xb8, 0x25, 0xa3, 0xa4, 0xa6, 0x27, + 0x02, 0x7b, 0x32, 0x49, 0xcf, 0x91, 0xda, 0xc3, 0x4c, 0x07, 0xdf, 0x07, 0x6d, 0xf6, 0xb3, 0x4c, 0x85, 0xa9, 0x7c, 0xd5, 0xb5, 0x0c, 0x3c, 0x26, 0xa3, 0xcc, 0xcd, 0x72, 0xd8, 0xe9, 0xb9, 0x1b, + 0xc3, 0x28, 0xe3, 0xd4, 0x87, 0xe6, 0xb5, 0x0d, 0xe0, 0x28, 0xab, 0x62, 0x8f, 0x16, 0x41, 0x28, 0x4d, 0xad, 0x8e, 0x6f, 0xdb, 0x18, 0x35, 0x45, 0xa3, 0x7a, 0x55, 0xf2, 0xb2, 0x75, 0x46, 0x72, + 0xf3, 0xed, 0x82, 0xc9, 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0xd2, 0xdd, 0xe6, 0x08, 0x0f, 0x23, 0x38, 0x67, 0x70, 0xd3, 0x3c, 0x51, 0x83, 0xbe, 0xdc, 0xe3, 0x00, 0x3f, 0xa6, 0x73, 0x7b, 0x7c, 0x84, 0xc9, 0xf0, 0xff, 0x10, 0x5a, 0x91, 0xa3, + 0xa7, 0xf4, 0x03, 0x34, 0x4c, 0x60, 0xa5, 0x2b, 0x52, 0x64, 0xcf, 0xd3, 0xe2, 0xfe, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05, 0x0c, 0x12, 0x15, 0x1c, 0x22, 0x27, 0x2e, +}; +static const uint8_t ML_DSA_87_sigver_38_msg[] = { + 0x9a, 0xba, 0x3d, 0x05, 0x1a, 0x7e, 0x3e, 0x19, 0xe6, 0xdb, 0xcb, 0xdc, 0xce, 0x66, 0x77, 0x67, 0x8e, 0xa0, 0xf8, 0x88, 0x16, 0xba, 0x02, 0x14, 0x0a, 0xe5, 0xfd, 0x27, 0xe0, 0xa5, 0x6d, 0x38, + 0x20, 0x1e, 0x76, 0x22, 0x19, 0x93, 0x40, 0xc0, 0xc8, 0xb8, 0x64, 0x0e, 0x28, 0xbd, 0x6d, 0x31, 0x8b, 0x6e, 0xf5, 0x6f, 0x67, 0xbd, 0x76, 0x10, 0xdd, 0x57, 0x99, 0x5a, 0x3e, 0x06, 0xd1, 0x4a, + 0xea, 0xf3, 0x99, 0x3c, 0x98, 0x02, 0xd5, 0x84, 0x10, 0x60, 0x45, 0x8d, 0xcb, 0xdf, 0x6b, 0xa3, 0x40, 0x3b, 0x2d, 0xb2, 0xf0, 0x57, 0x2c, 0xb9, 0x5b, 0x0f, 0x25, 0xef, 0x17, 0x50, 0x21, 0x0d, + 0x45, 0x2f, 0xee, 0x94, 0x60, 0xad, 0x6d, 0xb8, 0x21, 0xe5, 0xc7, 0x94, 0x77, 0xd2, 0x20, 0x03, 0x46, 0xb0, 0xab, 0x5f, 0x14, 0x17, 0x7a, 0xd9, 0x88, 0xfa, 0xea, 0x06, 0xbb, 0xf7, 0x69, 0xd7, +}; +static const uint8_t ML_DSA_87_sigver_38_sig[] = { + 0xf8, 0xb9, 0x6b, 0xa9, 0x12, 0x81, 0x1c, 0xee, 0x92, 0xb0, 0xd1, 0x5d, 0x06, 0x31, 0x11, 0xff, 0x37, 0x75, 0xc2, 0xa9, 0x6b, 0xba, 0x5a, 0x4f, 0x79, 0xa5, 0xec, 0x6d, 0xb4, 0x7f, 0x2f, 0xde, + 0x21, 0xb6, 0x4b, 0x04, 0xef, 0x9a, 0xf9, 0x57, 0x1d, 0x2e, 0x18, 0x98, 0x88, 0xc2, 0x17, 0x0d, 0x8c, 0x35, 0xdb, 0x68, 0xee, 0xff, 0x49, 0x2c, 0x68, 0x13, 0x5c, 0x6f, 0xf6, 0x9d, 0x0e, 0x4d, + 0x3c, 0x44, 0x84, 0x3a, 0x8e, 0x65, 0xd1, 0x31, 0x16, 0x29, 0x60, 0x0b, 0xe1, 0xd6, 0xb1, 0x46, 0x82, 0xb5, 0x41, 0x87, 0xd5, 0xd7, 0x5d, 0x03, 0x1d, 0x0a, 0x58, 0xe1, 0xd6, 0x3d, 0x83, 0x25, + 0x05, 0xae, 0xd8, 0x13, 0x13, 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0xfe, 0x15, 0x3b, 0x52, 0x9e, 0xab, 0xc2, 0xe1, 0x30, 0x66, 0x6d, 0x87, 0x8d, 0x92, 0x99, 0xa0, 0xa5, 0xba, 0xff, 0x58, 0x76, 0x8e, 0xe8, 0xf0, + 0x1d, 0x39, 0x76, 0x8a, 0xa2, 0xc5, 0xf4, 0x0f, 0x23, 0x4f, 0x59, 0x84, 0x8f, 0xe0, 0x0b, 0x38, 0xc6, 0xeb, 0x2a, 0x60, 0x8b, 0xa8, 0xb5, 0xba, 0xbb, 0xc0, 0xc7, 0xce, 0xdb, 0xf7, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x09, 0x10, 0x1b, 0x20, 0x27, 0x2e, 0x32, 0x3e, +}; +static const uint8_t ML_DSA_87_sigver_39_msg[] = { + 0x8f, 0x96, 0xc9, 0x63, 0xca, 0xdf, 0xd3, 0x58, 0x5a, 0x29, 0xe3, 0xe7, 0xa4, 0x66, 0x18, 0xfc, 0xec, 0x87, 0xd1, 0x8f, 0x54, 0xb7, 0xf2, 0x83, 0xe0, 0xc7, 0x61, 0xc2, 0x24, 0xb4, 0xfc, 0x93, + 0xc4, 0xfd, 0x70, 0x5d, 0x73, 0x06, 0x64, 0x4f, 0x32, 0x15, 0xd4, 0x52, 0x7c, 0x58, 0x17, 0x3b, 0x2c, 0xab, 0x90, 0x05, 0x67, 0xa3, 0x78, 0x00, 0xf4, 0x3c, 0x69, 0x2f, 0x2f, 0x05, 0x6e, 0x2f, + 0x7c, 0x60, 0x3f, 0xbc, 0xa1, 0x45, 0xa7, 0x7d, 0x8c, 0x38, 0x33, 0xcd, 0xb7, 0xe6, 0xc0, 0x49, 0xf6, 0x90, 0xc8, 0x92, 0xe3, 0x79, 0xf3, 0x04, 0xb9, 0x11, 0xa3, 0x1a, 0x83, 0xf1, 0x88, 0x65, + 0xe3, 0x8c, 0x39, 0x3d, 0xa1, 0x0e, 0xcb, 0xf5, 0x3e, 0x74, 0x7e, 0x5b, 0xa8, 0x32, 0x11, 0x97, 0x57, 0xec, 0x20, 0xb7, 0x6b, 0x52, 0xbc, 0xb5, 0x9d, 0xe1, 0xca, 0x6d, 0x3b, 0xe5, 0xf1, 0x0b, +}; +static const uint8_t ML_DSA_87_sigver_39_sig[] = { + 0xf3, 0x23, 0x03, 0x27, 0x9f, 0x88, 0x02, 0x24, 0xa7, 0xef, 0xb8, 0x5c, 0x7b, 0x57, 0x69, 0x44, 0x2b, 0xdc, 0x94, 0x97, 0x00, 0xd6, 0xd5, 0x4b, 0x5e, 0x3a, 0x76, 0xec, 0xd8, 0xea, 0xb8, 0x21, + 0xfc, 0x85, 0x15, 0xd2, 0x15, 0x93, 0x4a, 0xb7, 0x4b, 0x2f, 0x10, 0xea, 0x86, 0x48, 0xe6, 0x72, 0x7d, 0x91, 0xb1, 0x1e, 0x0d, 0xca, 0x12, 0xa1, 0xf3, 0xe3, 0xea, 0x93, 0x5f, 0x77, 0x55, 0xc4, + 0x86, 0x14, 0xee, 0x56, 0xe6, 0x41, 0x56, 0x14, 0x54, 0x27, 0x83, 0xeb, 0x48, 0x64, 0x18, 0xa0, 0x5d, 0xaf, 0x90, 0x07, 0x74, 0x59, 0x64, 0x69, 0xb2, 0x62, 0xca, 0x86, 0x08, 0xa9, 0x6b, 0x26, + 0x7f, 0x0c, 0x10, 0x53, 0x27, 0xae, 0xb9, 0xf8, 0x35, 0x41, 0xf4, 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0x0d, 0x2f, 0x48, 0x49, 0x65, 0xab, 0xdd, 0xdf, 0xe6, 0x39, 0x8b, 0xd3, 0x1b, 0x39, 0x5e, 0xa2, 0xa4, 0xe8, + 0xef, 0x07, 0x2f, 0x32, 0x3c, 0x42, 0x58, 0xd8, 0xf9, 0x21, 0x6a, 0xa0, 0xd4, 0xe1, 0x48, 0x51, 0x6e, 0x76, 0xa1, 0xbe, 0xc8, 0xd9, 0xf3, 0xf7, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x06, 0x0e, 0x17, 0x1a, 0x21, 0x29, 0x2e, 0x38, +}; +static const uint8_t ML_DSA_87_sigver_40_msg[] = { + 0x0c, 0x63, 0xcc, 0xd1, 0x67, 0xa8, 0x8f, 0x14, 0x19, 0x42, 0x86, 0xf5, 0x29, 0xac, 0x33, 0xf7, 0x29, 0x65, 0x94, 0xd9, 0xff, 0x53, 0x0c, 0xf1, 0xc7, 0x89, 0x4a, 0x89, 0xc7, 0x3f, 0xf3, 0x56, + 0x9d, 0x2a, 0xa1, 0x69, 0x1b, 0xf5, 0x82, 0x21, 0x91, 0x9a, 0xac, 0x32, 0x5a, 0x3a, 0x86, 0xbc, 0xb5, 0x5f, 0x0e, 0xa6, 0xeb, 0x48, 0x08, 0xad, 0xcc, 0xe8, 0xc6, 0xea, 0xca, 0x20, 0xaf, 0xc5, + 0x74, 0xe0, 0x2f, 0xb0, 0x68, 0xe8, 0x57, 0x37, 0x0c, 0x80, 0x21, 0x07, 0x01, 0xd9, 0xd9, 0x8d, 0x73, 0x15, 0xaa, 0x76, 0x04, 0x67, 0x36, 0xcc, 0xda, 0x09, 0x52, 0x72, 0x2d, 0x8e, 0xa1, 0xb3, + 0xa2, 0xad, 0x0b, 0x33, 0xc7, 0xfa, 0xd1, 0x5f, 0xd6, 0x13, 0x0e, 0x22, 0x15, 0xe2, 0xb7, 0x1e, 0x5b, 0xf3, 0x78, 0x6c, 0xd4, 0x52, 0x73, 0x80, 0x14, 0xf7, 0xab, 0x3a, 0x48, 0x2d, 0x4a, 0x1a, +}; +static const uint8_t ML_DSA_87_sigver_40_sig[] = { + 0xc9, 0x5e, 0x93, 0x4c, 0xa2, 0x35, 0xdc, 0x9e, 0xee, 0xb4, 0x58, 0x17, 0xa6, 0x23, 0x9b, 0x16, 0x77, 0x09, 0xe5, 0x9f, 0xe2, 0x5c, 0x86, 0x84, 0x22, 0x13, 0x15, 0xc4, 0xf8, 0xa7, 0x6d, 0xa0, + 0x28, 0x28, 0x6b, 0x07, 0xd6, 0xdd, 0x07, 0x33, 0xd1, 0xfa, 0x71, 0x3a, 0x94, 0x96, 0x4f, 0x32, 0x55, 0x87, 0xe2, 0xbc, 0x49, 0x19, 0x08, 0xb8, 0xed, 0x3a, 0x40, 0xa0, 0x14, 0xc8, 0x2f, 0xd2, + 0x5d, 0x26, 0xb0, 0x37, 0x73, 0x64, 0xf6, 0xde, 0x69, 0xcc, 0xf1, 0x4a, 0x5f, 0xd6, 0x5a, 0xf5, 0xf5, 0x62, 0x78, 0xb2, 0x02, 0xb5, 0xdc, 0x38, 0x12, 0xc9, 0x80, 0x1e, 0x96, 0xc4, 0x03, 0x81, + 0xfc, 0x45, 0xae, 0xc5, 0xfa, 0x23, 0xd3, 0xb0, 0xc9, 0x9e, 0x79, 0xff, 0xd9, 0x31, 0x60, 0x4f, 0xcf, 0x9f, 0x51, 0xcd, 0x09, 0x48, 0x4a, 0x67, 0x1a, 0x13, 0x74, 0x55, 0x8e, 0xec, 0xf3, 0x1c, + 0x83, 0xeb, 0x83, 0x7d, 0x71, 0x83, 0x07, 0x2f, 0xf7, 0xcd, 0xb1, 0x22, 0x0f, 0x58, 0xe6, 0xb7, 0x75, 0x22, 0x13, 0x9f, 0x0f, 0x15, 0x04, 0x97, 0x48, 0xa4, 0x6b, 0x40, 0x4c, 0xbb, 0x0d, 0xa0, + 0x79, 0xa3, 0x47, 0xcb, 0xe2, 0x81, 0xd7, 0x17, 0x61, 0x6d, 0xc8, 0xf9, 0xfa, 0xf5, 0xdf, 0x53, 0x73, 0xa3, 0xaf, 0x9f, 0xc2, 0x24, 0x93, 0x58, 0x60, 0x68, 0xc1, 0x4f, 0x7b, 0xa5, 0xff, 0x7b, + 0x90, 0xe6, 0x92, 0xa6, 0x56, 0x88, 0xc8, 0x96, 0x5b, 0xd6, 0x45, 0x2b, 0x80, 0x7b, 0xe5, 0xcb, 0x76, 0xeb, 0xf4, 0x5a, 0xcc, 0x3d, 0xe9, 0xbb, 0x0e, 0x1b, 0x35, 0xb1, 0xfd, 0x8c, 0xf3, 0x83, + 0x93, 0x3f, 0x1a, 0x99, 0x28, 0x82, 0x5e, 0x62, 0xdc, 0xc3, 0x64, 0x8d, 0x93, 0x39, 0x21, 0xc9, 0x26, 0xc1, 0xbe, 0x1b, 0x40, 0xbf, 0x72, 0x94, 0xbf, 0x92, 0x41, 0x22, 0x65, 0x00, 0xab, 0xec, + 0x04, 0x20, 0xea, 0xb0, 0xbd, 0x02, 0x1b, 0x04, 0x10, 0xd9, 0xa7, 0x91, 0x81, 0x92, 0x16, 0x80, 0x49, 0x1a, 0xc9, 0x16, 0x28, 0x19, 0xae, 0x3b, 0x98, 0x21, 0xe4, 0x37, 0x77, 0x54, 0xa3, 0x7a, + 0x0a, 0xc9, 0xa0, 0xf3, 0xec, 0xc0, 0x38, 0xbf, 0xbf, 0xfd, 0xfd, 0x7e, 0x39, 0x77, 0xd0, 0x08, 0x74, 0x35, 0xca, 0x18, 0x43, 0xb2, 0x18, 0xe6, 0xc0, 0x24, 0x75, 0x91, 0x24, 0xba, 0xfa, 0x88, + 0x9f, 0x59, 0xab, 0x0d, 0x17, 0x8e, 0xb2, 0xc3, 0x89, 0x6c, 0xff, 0x03, 0x1c, 0x57, 0xda, 0x3e, 0xbb, 0xbb, 0xd6, 0x6c, 0xbf, 0xbd, 0x72, 0xbd, 0xd5, 0x2d, 0x19, 0xd1, 0xae, 0x30, 0x7c, 0xb9, + 0xe2, 0xb8, 0xba, 0xf3, 0xbe, 0x55, 0x6d, 0xf7, 0x1b, 0x28, 0xbc, 0xa6, 0xf9, 0xb2, 0xeb, 0x69, 0xf8, 0x00, 0x5a, 0xbb, 0x8d, 0x29, 0x11, 0x7c, 0x43, 0xbf, 0x42, 0x45, 0x9e, 0xa8, 0x13, 0xc8, + 0xcb, 0x43, 0x85, 0xee, 0xc2, 0x39, 0x84, 0xba, 0xe6, 0x61, 0xc5, 0x9b, 0xfb, 0x7f, 0x9f, 0x06, 0xde, 0x0a, 0x41, 0xf7, 0x04, 0x30, 0xaa, 0x44, 0x8b, 0xbb, 0xf2, 0x93, 0xa9, 0xe6, 0x6b, 0x55, + 0x99, 0x5b, 0x3a, 0x51, 0x14, 0x03, 0x2a, 0x11, 0xfa, 0xbe, 0xe6, 0xbf, 0xc0, 0xdb, 0x02, 0xac, 0xb8, 0xe4, 0x88, 0xa0, 0x5d, 0x4e, 0xfd, 0x95, 0xad, 0xa2, 0xa4, 0x75, 0x61, 0xe9, 0x1c, 0x3a, + 0xfb, 0x64, 0xd2, 0x4b, 0x69, 0xd0, 0xb1, 0xe3, 0x20, 0xb1, 0x11, 0x1f, 0xc4, 0xcd, 0x1d, 0x48, 0xf1, 0xdc, 0xec, 0x0c, 0x82, 0x10, 0xe6, 0xe6, 0x32, 0xba, 0x1c, 0xd0, 0x44, 0x8e, 0x33, 0x99, + 0xbe, 0x8f, 0xf9, 0xfe, 0x05, 0xd2, 0x80, 0xcd, 0x82, 0x7f, 0x09, 0xcc, 0xa0, 0xa0, 0x7f, 0xac, 0x04, 0xb2, 0xc1, 0xc9, 0x6d, 0xcb, 0x77, 0x8a, 0x16, 0x73, 0x5c, 0x5b, 0xe6, 0xd7, 0x18, 0x43, + 0xe9, 0xfb, 0xd0, 0x09, 0x5c, 0x46, 0x0c, 0x60, 0x33, 0x75, 0x0a, 0x3a, 0x6a, 0x40, 0x78, 0x8d, 0xf5, 0x3c, 0x11, 0x56, 0x24, 0xa7, 0x51, 0x47, 0xd8, 0xfa, 0x8c, 0x17, 0x86, 0xf3, 0x92, 0xdf, + 0x1e, 0x52, 0xda, 0xf6, 0x8b, 0xee, 0x09, 0xdd, 0x08, 0x1a, 0x22, 0x44, 0x0d, 0x80, 0x10, 0x61, 0x26, 0x0b, 0xbb, 0xbe, 0xe3, 0xfa, 0xda, 0xa4, 0x48, 0x1d, 0x71, 0xe9, 0xd8, 0x37, 0x13, 0x7d, + 0x6e, 0xa5, 0x6a, 0xa4, 0xb8, 0xa3, 0x0d, 0x5e, 0xb0, 0x16, 0x3b, 0x71, 0x17, 0xc1, 0x40, 0x4b, 0xd7, 0xe2, 0xb8, 0x43, 0xfd, 0xf0, 0xfc, 0x3e, 0x63, 0x3a, 0xc0, 0x32, 0x95, 0xc4, 0x05, 0xfd, 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0xb9, 0xb3, 0x94, 0xdc, 0x7d, 0x50, 0xbf, 0x61, 0x67, 0x71, 0x81, 0x6b, 0xdd, 0x17, 0xe7, 0xe6, 0x4b, 0xbb, 0x51, 0xeb, 0x36, 0x42, + 0x1f, 0x10, 0x95, 0xf1, 0xcc, 0x6d, 0xe3, 0x63, 0xf2, 0x6a, 0x3c, 0x05, 0x38, 0xd4, 0xfc, 0xa4, 0x19, 0x9d, 0x5b, 0xbd, 0xfd, 0x9a, 0x48, 0x9a, 0x71, 0xd8, 0x8b, 0x76, 0x87, 0x73, 0x92, 0x0c, + 0x28, 0x1b, 0xd9, 0xfc, 0x9a, 0x84, 0x8c, 0xbe, 0xf9, 0xd1, 0x36, 0x11, 0x4d, 0x21, 0x5a, 0x6f, 0x99, 0x6c, 0x61, 0xd6, 0x01, 0x48, 0x4e, 0xef, 0x72, 0x7e, 0x01, 0x40, 0x5e, 0xe8, 0xd9, 0x92, + 0x85, 0xa1, 0x4d, 0xeb, 0xc2, 0x31, 0xef, 0x9b, 0x2b, 0xb0, 0x11, 0x08, 0xeb, 0xf4, 0x8e, 0x3c, 0x12, 0xb0, 0xd7, 0x23, 0x70, 0x7f, 0xde, 0x4c, 0x87, 0xa6, 0x73, 0xd5, 0x11, 0x87, 0x30, 0xce, + 0xf0, 0xd2, 0x3d, 0xa5, 0x6c, 0xf7, 0xd1, 0xfe, 0x6e, 0x4f, 0x7c, 0xa9, 0x0d, 0x30, 0x55, 0x0c, 0x07, 0x3b, 0x21, 0x24, 0xc8, 0x3d, 0x78, 0x83, 0x5e, 0xdc, 0x93, 0xb8, 0x6b, 0x20, 0x2b, 0xa6, + 0x4c, 0x63, 0x00, 0xec, 0x11, 0xf8, 0xd7, 0xa2, 0x30, 0x7b, 0xbf, 0xea, 0x50, 0xec, 0xc3, 0xfc, 0x41, 0x56, 0x0f, 0xe2, 0xde, 0x65, 0x84, 0xd1, 0xc9, 0xba, 0x7c, 0xa1, 0x0d, 0xa7, 0xc7, 0x02, + 0x84, 0x05, 0x20, 0x53, 0x61, 0x6f, 0xec, 0x2a, 0xae, 0xf2, 0xd5, 0xae, 0x02, 0x4b, 0xd2, 0x95, 0x64, 0x97, 0xbf, 0x35, 0x96, 0x95, 0x72, 0xe9, 0xdf, 0x38, 0x37, 0x73, 0x88, 0x6c, 0x36, 0xd2, + 0xf4, 0xbb, 0xf7, 0x6e, 0x3a, 0x44, 0xcb, 0x36, 0xcd, 0x4f, 0x64, 0x06, 0x48, 0x31, 0xf5, 0xf3, 0xc9, 0xa2, 0x12, 0xa6, 0xa2, 0x3d, 0xa7, 0xfb, 0x5e, 0x05, 0x18, 0x90, 0xd7, 0x81, 0x40, 0xd4, + 0x11, 0x3e, 0x21, 0xfa, 0xac, 0xf8, 0x44, 0x4a, 0xf9, 0xc7, 0x3a, 0xfe, 0x4d, 0xd5, 0x47, 0x72, 0xcd, 0xc9, 0xa5, 0x8c, 0x78, 0x36, 0xc9, 0xed, 0xe9, 0x82, 0x7d, 0x6c, 0x7a, 0x2b, 0x1d, 0x99, + 0xfa, 0x6c, 0x33, 0x75, 0x60, 0x03, 0x77, 0x1d, 0x6c, 0xeb, 0x3f, 0xa0, 0x51, 0x39, 0xa6, 0xa8, 0x97, 0x7b, 0xe3, 0xa9, 0x31, 0xae, 0x65, 0xdb, 0xf9, 0xfc, 0x4e, 0xec, 0x43, 0x2f, 0x7f, 0xee, + 0x23, 0x37, 0xcd, 0xf2, 0x0d, 0x21, 0x2f, 0x68, 0xbb, 0xe1, 0xf3, 0x3c, 0x50, 0x52, 0x5c, 0x61, 0x9c, 0xc2, 0xc5, 0xf0, 0x09, 0x1b, 0x7b, 0x8c, 0x8f, 0xbe, 0xc4, 0xcc, 0xe1, 0x82, 0x98, 0x03, + 0x10, 0x45, 0x56, 0x5a, 0x65, 0xb8, 0x08, 0x12, 0x1d, 0x2e, 0x38, 0x50, 0x75, 0xc2, 0xfe, 0x11, 0x60, 0x6a, 0x95, 0x9b, 0xc3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x0b, 0x14, 0x1d, 0x1f, 0x26, 0x2f, 0x35, +}; +static const uint8_t ML_DSA_87_sigver_41_msg[] = { + 0x0b, 0x34, 0x0e, 0x19, 0xb2, 0x04, 0x39, 0x41, 0xe7, 0xb0, 0xf8, 0x05, 0x07, 0xf1, 0xf5, 0x86, 0xbd, 0xcc, 0x03, 0xd1, 0x9a, 0x75, 0xdd, 0xd2, 0x38, 0x09, 0xaf, 0xd1, 0x1c, 0xcf, 0xfa, 0xd3, + 0xc4, 0x67, 0x3c, 0x82, 0x5b, 0x14, 0x87, 0x7f, 0xa1, 0xd0, 0xdd, 0x66, 0x24, 0xba, 0xa8, 0xe4, 0x80, 0xa9, 0x80, 0x02, 0x50, 0x8c, 0xc6, 0x48, 0xb6, 0x6a, 0x2d, 0x3a, 0x83, 0xda, 0x12, 0xc5, + 0x16, 0x1c, 0xbf, 0xaf, 0xd5, 0x75, 0x30, 0x3d, 0xce, 0x54, 0x5e, 0x61, 0xbd, 0x94, 0x3c, 0x66, 0x43, 0x33, 0xac, 0x2e, 0x95, 0x11, 0xef, 0x84, 0x16, 0x12, 0xf7, 0x8c, 0x52, 0x56, 0xd3, 0xff, + 0x31, 0x9b, 0xfa, 0x61, 0x20, 0xeb, 0x17, 0x2c, 0xd8, 0x15, 0x13, 0x40, 0x10, 0xdd, 0x5a, 0xae, 0xf6, 0x7f, 0x90, 0x57, 0xd9, 0x43, 0x60, 0x11, 0x7d, 0xe0, 0x9b, 0xed, 0xa2, 0x09, 0x53, 0xe2, +}; +static const uint8_t ML_DSA_87_sigver_41_sig[] = { + 0x49, 0xa6, 0x5d, 0x11, 0x40, 0xd4, 0x66, 0x75, 0xe1, 0x54, 0xd9, 0x9e, 0x7c, 0x15, 0x8f, 0x42, 0x4c, 0x92, 0x12, 0x04, 0xbf, 0x93, 0xe3, 0x2e, 0x84, 0xa7, 0xe3, 0x20, 0x9f, 0x55, 0xd4, 0x82, + 0x9e, 0x39, 0xc0, 0xba, 0x4a, 0xd6, 0xc1, 0x00, 0xb4, 0xd6, 0xae, 0xd8, 0x1c, 0x55, 0x69, 0x62, 0xf1, 0x2b, 0x50, 0xc3, 0xa1, 0xaa, 0x43, 0xe0, 0x7a, 0xa7, 0xd1, 0x94, 0x70, 0xe7, 0xd9, 0xf1, + 0x59, 0x2a, 0x69, 0xda, 0xec, 0x64, 0x2e, 0x70, 0x59, 0x24, 0xb5, 0x23, 0xd4, 0xf2, 0x19, 0x70, 0xfa, 0xcb, 0x78, 0xbe, 0xda, 0xfe, 0x43, 0x96, 0x7f, 0xb8, 0xf4, 0x75, 0xf0, 0x2d, 0x3b, 0x8e, + 0xaf, 0xde, 0xa3, 0xb2, 0x1f, 0xe8, 0x62, 0xf1, 0xe9, 0xd8, 0xcc, 0xda, 0xda, 0xc6, 0x89, 0xa6, 0x05, 0x15, 0x8d, 0x0d, 0x06, 0xf3, 0xee, 0x2d, 0xae, 0xcf, 0x6d, 0xa2, 0xdd, 0xc0, 0x14, 0x0d, + 0x31, 0xae, 0x1a, 0x5f, 0x99, 0x17, 0x94, 0x8e, 0xe2, 0xab, 0xbc, 0xb5, 0x4c, 0xef, 0x3c, 0x4f, 0x63, 0x07, 0xcc, 0x72, 0x80, 0xd3, 0x8c, 0xb4, 0xa5, 0x1f, 0xcc, 0xd5, 0x38, 0xdc, 0xf4, 0xac, + 0xe1, 0x43, 0x69, 0x79, 0x2f, 0xe8, 0x80, 0xfa, 0xe5, 0x36, 0xf3, 0x5c, 0x48, 0x82, 0x8b, 0x77, 0x79, 0xa1, 0xb9, 0xbd, 0xda, 0x19, 0x29, 0x3f, 0x04, 0x3d, 0xe2, 0x69, 0xb9, 0x7f, 0x0c, 0xbb, + 0x26, 0x47, 0xad, 0xc0, 0xf0, 0x43, 0x41, 0xdc, 0xc7, 0x42, 0x68, 0x44, 0xb5, 0x8d, 0x4f, 0x32, 0xc0, 0xec, 0xbd, 0xbc, 0x06, 0x8c, 0xae, 0xa0, 0xa6, 0xe4, 0xb8, 0x96, 0x0b, 0xb8, 0x0d, 0x75, + 0xc2, 0x3a, 0x60, 0xac, 0xd6, 0x15, 0x11, 0x9b, 0x32, 0x80, 0x94, 0x7f, 0x45, 0x93, 0x83, 0x19, 0x89, 0xe5, 0x42, 0x6e, 0x2d, 0x26, 0x83, 0x64, 0xb6, 0xd3, 0x81, 0xf3, 0x1c, 0xc4, 0x08, 0x37, + 0x43, 0xf2, 0x9b, 0x56, 0xf4, 0xc4, 0x02, 0xf6, 0x36, 0x24, 0x3a, 0x62, 0xb0, 0xca, 0xd3, 0x15, 0xb1, 0xcf, 0x14, 0xbc, 0x12, 0x0d, 0x1d, 0xda, 0xea, 0x3c, 0xe7, 0x86, 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0xc8, 0x52, 0x19, 0x77, 0x63, 0x7b, 0xb2, 0x73, 0x83, 0xab, 0xbf, + 0xb7, 0x36, 0x23, 0x5a, 0x11, 0xef, 0x55, 0xe1, 0xfd, 0xe9, 0xac, 0xd2, 0xe9, 0x4f, 0xaf, 0x24, 0xf4, 0x78, 0x93, 0x50, 0xcf, 0xa5, 0x8c, 0x11, 0x10, 0xcb, 0xee, 0xa2, 0xa2, 0x9c, 0x4a, 0xa9, + 0x26, 0x9c, 0x53, 0x22, 0x38, 0xbe, 0xf1, 0xd6, 0xeb, 0x65, 0x75, 0x7c, 0x21, 0x33, 0xab, 0x99, 0x2d, 0x4e, 0xd1, 0x16, 0xc9, 0x4b, 0xc4, 0x4d, 0x74, 0x63, 0x01, 0x77, 0x55, 0x06, 0xa3, 0xb2, + 0x20, 0xd2, 0x77, 0x5a, 0x57, 0x78, 0x92, 0x07, 0xd4, 0x96, 0x68, 0xa5, 0xc3, 0x28, 0x58, 0xea, 0xf6, 0x4e, 0xfb, 0xd3, 0x3f, 0x1c, 0x25, 0x8d, 0x29, 0xf9, 0x06, 0xe7, 0x33, 0x6d, 0x6c, 0x32, + 0x37, 0xbf, 0xa2, 0x02, 0x2e, 0x99, 0x92, 0x75, 0xc5, 0xda, 0xa6, 0x06, 0xb0, 0x06, 0x59, 0x8c, 0xad, 0x77, 0xee, 0x67, 0xe3, 0x33, 0x6f, 0x3e, 0x27, 0x37, 0xd2, 0x78, 0x7f, 0x8f, 0x52, 0x98, + 0x01, 0x15, 0x53, 0x81, 0x0c, 0x15, 0x27, 0x44, 0x51, 0x57, 0xcc, 0xf8, 0x06, 0x40, 0x47, 0x78, 0x89, 0x98, 0x9a, 0xc8, 0xea, 0x04, 0x54, 0x62, 0x79, 0x8d, 0xc9, 0xd4, 0x19, 0x4b, 0x61, 0x6a, + 0x8e, 0xd1, 0xd3, 0xfd, 0x07, 0x32, 0x45, 0x5c, 0x89, 0xaa, 0xce, 0xd4, 0xfd, 0x3e, 0x65, 0x89, 0xa3, 0xe9, 0x25, 0x2b, 0x54, 0x75, 0xba, 0xef, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x0c, 0x15, 0x1c, 0x24, 0x2d, 0x32, 0x39, +}; +static const uint8_t ML_DSA_87_sigver_42_msg[] = { + 0xea, 0x70, 0x7f, 0x27, 0xa8, 0x89, 0x6a, 0xa8, 0x60, 0xfd, 0xf5, 0xd5, 0x89, 0x7b, 0x58, 0x53, 0x8d, 0x1c, 0xb6, 0x09, 0x6c, 0xdf, 0x2a, 0xd5, 0xf5, 0x83, 0xc5, 0xd4, 0xfc, 0xc2, 0xc9, 0x18, + 0x39, 0xc1, 0xad, 0x44, 0x92, 0x02, 0x16, 0xf8, 0xd0, 0x27, 0xaa, 0xee, 0x2e, 0x56, 0x3d, 0x77, 0x9e, 0x86, 0xfa, 0xc4, 0xb2, 0x50, 0x24, 0x97, 0xb4, 0x12, 0x29, 0xbe, 0x82, 0x3a, 0xcf, 0x0b, + 0xeb, 0x23, 0x2c, 0xc6, 0xf3, 0xf7, 0xda, 0x88, 0xe0, 0x68, 0x5a, 0x91, 0x76, 0xdf, 0xe7, 0x1e, 0x42, 0x47, 0x0f, 0xcc, 0xcd, 0xb4, 0x3c, 0x66, 0x88, 0xa0, 0x3b, 0x6d, 0x8a, 0xf6, 0x61, 0x2a, + 0xb8, 0x21, 0xcd, 0x16, 0x75, 0x7f, 0xbe, 0xae, 0x52, 0xc7, 0x79, 0xef, 0xb6, 0xac, 0x38, 0xef, 0x7f, 0xb4, 0xb5, 0xe3, 0x65, 0x88, 0x2c, 0xb8, 0x3a, 0xa2, 0x46, 0xb2, 0xa5, 0x2d, 0x50, 0x59, +}; +static const uint8_t ML_DSA_87_sigver_42_sig[] = { + 0x37, 0x2b, 0xf9, 0xfd, 0x20, 0x61, 0xbd, 0x26, 0x93, 0x9a, 0x23, 0xc3, 0xdb, 0x12, 0x87, 0x46, 0xea, 0x33, 0x46, 0xf0, 0xc0, 0xe7, 0x5c, 0x4c, 0x35, 0x84, 0x05, 0xc1, 0x2c, 0xac, 0x96, 0x36, + 0xd2, 0x41, 0xa5, 0xe5, 0x55, 0xad, 0xf1, 0xb8, 0xc4, 0x48, 0x15, 0x23, 0x26, 0xf9, 0x24, 0x8e, 0xbe, 0x31, 0xe8, 0xc1, 0x71, 0xb3, 0xce, 0x7c, 0x00, 0x79, 0x61, 0x0c, 0x6c, 0x71, 0x5b, 0xf8, + 0xda, 0x26, 0xf4, 0x34, 0x4c, 0x0f, 0x04, 0x3e, 0xae, 0x26, 0xe7, 0x49, 0xe5, 0x6b, 0xaa, 0x19, 0x0e, 0x50, 0x2b, 0xcb, 0xe7, 0x07, 0x40, 0xa8, 0xcd, 0xed, 0x41, 0xcf, 0x2f, 0xab, 0x99, 0xaf, + 0x00, 0xa6, 0xd7, 0x88, 0xff, 0x05, 0xc3, 0x0c, 0xb8, 0xb9, 0xac, 0xc1, 0x25, 0xfe, 0xac, 0x8c, 0x7c, 0xdf, 0xc1, 0xdd, 0x72, 0x26, 0xc8, 0x19, 0xbe, 0x3a, 0x23, 0x7b, 0xee, 0x81, 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0x02, 0xa3, 0xde, 0x95, + 0xd8, 0x8b, 0xf9, 0x84, 0x92, 0x03, 0x5d, 0xae, 0x2d, 0x46, 0x87, 0x95, 0xda, 0x1c, 0x32, 0xde, 0x79, 0x57, 0x17, 0xd4, 0x3b, 0x1b, 0xb0, 0xde, 0xd8, 0xc4, 0x50, 0xc3, 0x4c, 0xee, 0xc2, 0x7a, + 0xb1, 0x38, 0xd3, 0x03, 0xa0, 0x83, 0x98, 0x0f, 0x53, 0x5d, 0x9f, 0x63, 0xee, 0xf8, 0xd8, 0x20, 0x0a, 0x52, 0xee, 0x84, 0x80, 0x2b, 0x5c, 0x6d, 0x4c, 0xb1, 0x4d, 0x75, 0xcc, 0x8a, 0x71, 0x92, + 0x02, 0x36, 0x3f, 0x97, 0x87, 0x8b, 0x3e, 0x71, 0x9f, 0xb6, 0x07, 0x89, 0x7c, 0x49, 0x75, 0x28, 0x75, 0xa4, 0xc9, 0xca, 0x7c, 0xaa, 0xd5, 0x51, 0x1d, 0xb6, 0x52, 0x3a, 0xfd, 0xf0, 0xce, 0xf8, + 0xbc, 0xfd, 0x96, 0xab, 0x23, 0x90, 0x44, 0xfb, 0x53, 0xee, 0xbf, 0x3a, 0x70, 0x00, 0x1c, 0x62, 0xe9, 0xb8, 0x6e, 0x1a, 0x60, 0x47, 0x09, 0x08, 0x23, 0x30, 0x08, 0x1e, 0xe7, 0x53, 0x8c, 0x47, + 0x4d, 0x94, 0xb0, 0xc5, 0xfb, 0x26, 0x64, 0x78, 0x7c, 0x85, 0xcc, 0xed, 0x00, 0x08, 0x0e, 0x13, 0x49, 0x86, 0x9e, 0xa6, 0xaa, 0xcd, 0xf3, 0x21, 0x54, 0x6f, 0xe4, 0x15, 0x26, 0x8a, 0x8d, 0x91, + 0x95, 0xb6, 0xc8, 0xdd, 0xeb, 0x33, 0x78, 0x87, 0xa9, 0xbc, 0xe2, 0x0c, 0x2c, 0x41, 0x78, 0xb2, 0xc2, 0xca, 0xd9, 0x38, 0x6f, 0x7c, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05, 0x0c, 0x17, 0x1b, 0x25, 0x2b, 0x33, 0x36, +}; +static const uint8_t ML_DSA_87_sigver_43_msg[] = { + 0xeb, 0xda, 0x4b, 0x41, 0x98, 0xc0, 0x41, 0xf5, 0x15, 0xba, 0x16, 0xe2, 0x27, 0xf1, 0x49, 0x1f, 0x54, 0x10, 0x9b, 0x04, 0xc5, 0x83, 0x68, 0x55, 0x03, 0x81, 0x49, 0xb6, 0x09, 0x78, 0xea, 0x14, + 0x6d, 0xf4, 0x62, 0x99, 0xa3, 0x87, 0x94, 0xd6, 0x1d, 0xa8, 0x9d, 0xcb, 0x74, 0xa4, 0x6e, 0x3e, 0xfe, 0xd1, 0x6c, 0x83, 0x28, 0x84, 0x19, 0x4e, 0x74, 0xee, 0xc8, 0x2c, 0x96, 0x5e, 0x9d, 0xb2, + 0x85, 0x8b, 0x87, 0x96, 0x2f, 0x48, 0xf0, 0xc0, 0x94, 0xc3, 0x89, 0xdf, 0xd1, 0xdd, 0x44, 0xcb, 0xae, 0xdf, 0x14, 0xa6, 0x2a, 0x70, 0x9f, 0xf4, 0x8a, 0x92, 0xe1, 0x93, 0x47, 0x28, 0x99, 0xa6, + 0x87, 0x6e, 0xa8, 0xb9, 0x70, 0x1c, 0x1d, 0x13, 0x78, 0x96, 0xf3, 0xc7, 0x79, 0xa4, 0xe0, 0x56, 0x82, 0x0f, 0x55, 0x30, 0x05, 0x24, 0x20, 0x2e, 0x44, 0xf8, 0xb2, 0x4d, 0x5b, 0x68, 0x57, 0x87, +}; +static const uint8_t ML_DSA_87_sigver_43_sig[] = { + 0xa2, 0xe6, 0xdf, 0xcd, 0xb9, 0x3d, 0xae, 0xf3, 0xa2, 0xb0, 0xa3, 0xa5, 0x48, 0xea, 0x48, 0xd5, 0x11, 0x57, 0xf4, 0x50, 0x34, 0x13, 0x4a, 0xcc, 0xa1, 0x5a, 0x29, 0xe5, 0x41, 0x74, 0x75, 0xaf, + 0xe7, 0x2f, 0x57, 0x1b, 0x34, 0x54, 0x5f, 0x92, 0xde, 0x26, 0xb0, 0x6f, 0x14, 0x1b, 0x1a, 0x18, 0x54, 0x5c, 0xb0, 0x6d, 0x54, 0x7a, 0x1e, 0x3d, 0x19, 0xf9, 0x00, 0x6d, 0x7c, 0x0e, 0x96, 0x40, + 0x27, 0x3a, 0xe4, 0x24, 0xee, 0x20, 0xcd, 0xc0, 0xab, 0x8c, 0xcd, 0x68, 0x0a, 0xd1, 0xca, 0x98, 0x04, 0x71, 0x08, 0xed, 0x0f, 0xfa, 0xdb, 0xd8, 0xb5, 0x68, 0x75, 0x3e, 0x4f, 0xa7, 0xc7, 0x4c, + 0xe7, 0x9f, 0x79, 0x80, 0x29, 0x74, 0x26, 0xbe, 0xf9, 0xed, 0x2c, 0x88, 0xed, 0x43, 0xb4, 0x5b, 0x92, 0xe7, 0x7d, 0x47, 0x48, 0x0d, 0xeb, 0x54, 0x99, 0x3b, 0xb0, 0x3a, 0x95, 0x6f, 0x61, 0x7f, + 0xbc, 0x9e, 0x40, 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0x32, 0xeb, 0xd6, 0xd0, 0x74, 0x60, 0x63, 0x80, 0xf3, 0x7f, 0x3e, 0x9d, 0x18, 0x6e, 0x4a, 0x93, 0xeb, 0x09, 0x8b, 0x6e, 0xc0, 0x45, 0x58, 0x43, 0xe7, 0x78, 0x4a, 0x9c, 0xcc, 0x67, 0xe0, + 0x32, 0x69, 0x20, 0x22, 0x39, 0x93, 0xce, 0xef, 0x7e, 0x4a, 0xe3, 0x99, 0xe2, 0x19, 0x93, 0xcc, 0xd0, 0x78, 0x08, 0x48, 0x04, 0xea, 0xb9, 0x88, 0x1b, 0x6c, 0x40, 0xce, 0x2b, 0x20, 0xbe, 0xc9, + 0x7d, 0xf6, 0x03, 0x81, 0xe9, 0x30, 0xcb, 0xcc, 0x03, 0x8a, 0x4a, 0x91, 0x53, 0xb2, 0xaf, 0x6a, 0xc6, 0xf7, 0x43, 0xfe, 0x6e, 0x2f, 0xda, 0x9a, 0x0f, 0xbd, 0x4c, 0x00, 0xd9, 0x3c, 0x97, 0x23, + 0x33, 0xc8, 0xa8, 0xd9, 0x90, 0x41, 0xd8, 0xc9, 0x37, 0x18, 0xca, 0x0c, 0xb8, 0x64, 0xb5, 0xe5, 0x00, 0x59, 0xd7, 0x39, 0x78, 0xfa, 0x3f, 0xf3, 0x31, 0x15, 0x88, 0x0d, 0x43, 0xd9, 0x3b, 0x85, + 0x12, 0x24, 0x6d, 0x82, 0xcf, 0x10, 0x4a, 0x4b, 0x52, 0x5f, 0x6f, 0x8b, 0x95, 0xaa, 0xb9, 0xc8, 0xdf, 0x02, 0x64, 0x94, 0x97, 0xa9, 0xaa, 0xf0, 0x1e, 0xb4, 0xc7, 0xeb, 0x1e, 0x23, 0x27, 0x38, + 0x55, 0x71, 0x75, 0xe6, 0x09, 0x0c, 0x2f, 0x65, 0x7e, 0x9d, 0xba, 0xd6, 0xf9, 0x08, 0x60, 0xbb, 0xde, 0xe0, 0xf7, 0x01, 0x23, 0x6c, 0x84, 0x89, 0xa7, 0xc2, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05, 0x11, 0x18, 0x1c, 0x24, 0x2d, 0x33, 0x3a, +}; +static const uint8_t ML_DSA_87_sigver_44_msg[] = { + 0x72, 0xca, 0x11, 0x53, 0x75, 0xe6, 0x12, 0x29, 0x7c, 0x7b, 0xf0, 0x46, 0x0d, 0x38, 0x24, 0x7b, 0x36, 0x61, 0xf5, 0xab, 0xeb, 0x7c, 0xf4, 0xe3, 0x27, 0x8b, 0xb4, 0x9e, 0x2d, 0xf2, 0xa9, 0x66, + 0x00, 0xf1, 0x9d, 0x95, 0xf6, 0x7b, 0xe9, 0x2f, 0x99, 0xdf, 0x20, 0x4d, 0x06, 0xad, 0xe7, 0xc8, 0xf4, 0xc0, 0x4c, 0x52, 0x7a, 0xb5, 0xf7, 0x0f, 0x60, 0x07, 0xce, 0x5f, 0x16, 0xab, 0x09, 0x9d, + 0xc8, 0xf7, 0xf4, 0xf4, 0x01, 0x18, 0x3c, 0x83, 0xb4, 0x70, 0x60, 0xe3, 0x8b, 0x55, 0xeb, 0xf6, 0xea, 0xca, 0x4a, 0x37, 0x8f, 0x72, 0x5e, 0xf4, 0xe5, 0x9e, 0xae, 0x32, 0xfe, 0x9d, 0xa0, 0xf9, + 0xc2, 0xac, 0xa2, 0xf1, 0xa4, 0xd2, 0x93, 0x3e, 0xf8, 0xdc, 0xc5, 0xd8, 0xa9, 0xdd, 0xae, 0x0e, 0x3a, 0xcd, 0xfd, 0xb6, 0xa5, 0xcc, 0x4a, 0x6b, 0xe9, 0x98, 0xc7, 0x95, 0x57, 0x34, 0x5f, 0x79, +}; +static const uint8_t ML_DSA_87_sigver_44_sig[] = { + 0x12, 0x11, 0xbf, 0x1a, 0xe5, 0x54, 0xb5, 0x7c, 0x92, 0xae, 0x74, 0xbd, 0x8f, 0xd1, 0xed, 0xa9, 0xb2, 0x2e, 0x89, 0x93, 0xd2, 0x67, 0x5d, 0x2a, 0x2b, 0x68, 0xbe, 0x5e, 0x07, 0x5b, 0x18, 0x15, + 0xdc, 0x1b, 0x65, 0x58, 0x24, 0x26, 0xa3, 0x7b, 0x0c, 0x6b, 0x5f, 0x4b, 0xdf, 0x20, 0x12, 0x9e, 0x0b, 0x1e, 0x04, 0xbd, 0x27, 0xe3, 0x38, 0x88, 0x14, 0x8e, 0xcb, 0x88, 0xa0, 0xec, 0x7c, 0xb7, + 0xcc, 0x58, 0xe3, 0x76, 0x7b, 0xfe, 0x35, 0x38, 0xe2, 0x49, 0x96, 0x76, 0x1c, 0x62, 0x43, 0x77, 0xd2, 0x15, 0x0c, 0x41, 0xd5, 0x9e, 0x18, 0x88, 0x9d, 0xfe, 0x6b, 0x52, 0x0c, 0xa7, 0xf7, 0x13, + 0x4b, 0x21, 0x98, 0xf4, 0x04, 0x6f, 0x49, 0xc9, 0x3d, 0x17, 0x67, 0x0d, 0x31, 0x4d, 0x85, 0x61, 0x75, 0xe6, 0x98, 0x4e, 0xda, 0x6e, 0xaf, 0x11, 0x36, 0xff, 0x25, 0x04, 0xf9, 0xb6, 0xb8, 0x2a, + 0x84, 0xc7, 0x2d, 0xa8, 0xca, 0x0d, 0xb3, 0xbc, 0x23, 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0xab, 0xc8, 0xba, 0x95, 0x2e, 0xf3, 0xfb, 0xd8, 0xb7, 0x4c, 0xa4, 0xc1, 0x67, 0xe1, 0x23, 0x01, 0x45, 0x94, 0xa4, 0x63, 0x46, 0xb5, 0xad, 0x01, 0xc4, + 0x8d, 0x69, 0x55, 0x65, 0xab, 0xe8, 0xfc, 0x55, 0x4b, 0xbc, 0xa4, 0xcb, 0xc1, 0xd4, 0x22, 0x26, 0xc0, 0x6a, 0xc9, 0xe0, 0x8f, 0x27, 0x57, 0x88, 0x28, 0xa2, 0xfc, 0xfa, 0xc7, 0x32, 0xa5, 0xd9, + 0x6d, 0xcc, 0x88, 0x95, 0x17, 0xf1, 0x82, 0xc4, 0x51, 0x18, 0x45, 0x6f, 0x91, 0x43, 0x78, 0x47, 0x6b, 0x31, 0x76, 0xc3, 0xbc, 0x0a, 0xf7, 0xce, 0x0e, 0xbf, 0x92, 0xdf, 0x82, 0x0b, 0x3a, 0x70, + 0x94, 0xbc, 0xa1, 0x10, 0x5a, 0x99, 0x63, 0xd8, 0xae, 0x10, 0x29, 0x2f, 0xa4, 0x3d, 0xc1, 0x1d, 0xc9, 0xe9, 0x9d, 0xc6, 0xd6, 0x1d, 0x9d, 0x02, 0xf7, 0xfc, 0x96, 0xfe, 0x65, 0xb2, 0xa3, 0x31, + 0x43, 0x44, 0x5b, 0x65, 0xcf, 0x3e, 0x41, 0x4f, 0x77, 0x7e, 0xa8, 0xce, 0xdb, 0x7b, 0x84, 0x41, 0x61, 0x83, 0x9b, 0xa4, 0xa9, 0xb9, 0xcc, 0x40, 0x49, 0xaf, 0xdd, 0xe0, 0xe1, 0xfd, 0x3b, 0x3c, + 0x72, 0xc4, 0xf3, 0x27, 0x3b, 0xa5, 0xf2, 0xf9, 0x72, 0x90, 0x98, 0xf9, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05, 0x0d, 0x0f, 0x17, 0x1e, 0x23, 0x28, 0x2c, +}; +static const uint8_t ML_DSA_87_sigver_45_msg[] = { + 0x83, 0x6b, 0xa1, 0xd9, 0x86, 0xc1, 0x1f, 0x4d, 0x70, 0xfa, 0x74, 0xac, 0xbf, 0xeb, 0x03, 0xe2, 0x65, 0x59, 0x1c, 0xf9, 0x09, 0xed, 0xb3, 0x77, 0x0d, 0xe8, 0xcf, 0x10, 0xb5, 0xbd, 0xab, 0xa9, + 0x15, 0x8d, 0xa3, 0x68, 0xe4, 0x9a, 0xfe, 0xfa, 0x0d, 0x0c, 0x2e, 0xd2, 0x6f, 0xbd, 0xa4, 0x0f, 0xb4, 0x27, 0xe9, 0xef, 0x98, 0xa7, 0xc8, 0x26, 0xd3, 0x85, 0x74, 0x85, 0xbc, 0x2c, 0x5a, 0x9f, + 0xcd, 0xe3, 0x6a, 0x63, 0xfb, 0xb7, 0x0a, 0x4f, 0x49, 0xb5, 0xa1, 0xd2, 0x14, 0x87, 0xfd, 0x81, 0x6e, 0x8b, 0x3d, 0x10, 0x5c, 0x78, 0x8c, 0x7f, 0xf1, 0x9e, 0x20, 0xee, 0xea, 0x48, 0xaf, 0xae, + 0xde, 0x42, 0x59, 0x6d, 0x3e, 0x12, 0x9a, 0xf1, 0x38, 0x46, 0x68, 0x25, 0x26, 0xba, 0xc5, 0xf4, 0x74, 0x5e, 0xce, 0x6c, 0xdb, 0x39, 0xe1, 0x27, 0x50, 0xa8, 0x76, 0x95, 0xa9, 0x42, 0x95, 0xb1, +}; +static const uint8_t ML_DSA_87_sigver_45_sig[] = { + 0x7e, 0x17, 0xe9, 0x86, 0xb9, 0x81, 0x70, 0x3c, 0x6b, 0x9c, 0x92, 0x5d, 0xbc, 0x9b, 0xd0, 0xfe, 0xd0, 0x04, 0x3d, 0x53, 0x2c, 0x3d, 0x10, 0xbc, 0x26, 0xf8, 0x22, 0xf4, 0x8e, 0xc2, 0x7a, 0x48, + 0x9d, 0x98, 0x3d, 0x33, 0xeb, 0x27, 0xd6, 0x47, 0xb1, 0xe1, 0xbc, 0x79, 0xf3, 0x5f, 0x61, 0xfc, 0x51, 0xe6, 0x9b, 0x4b, 0x4e, 0x98, 0xaa, 0x10, 0x85, 0x07, 0xdf, 0x2a, 0x52, 0x1f, 0xdd, 0x32, + 0xe0, 0x1b, 0x69, 0x18, 0x29, 0x8f, 0xe9, 0xb7, 0x09, 0xb9, 0xaf, 0xc6, 0x2d, 0x80, 0x7c, 0xe4, 0xfd, 0x00, 0xf8, 0xfc, 0x7d, 0x57, 0xb9, 0xbd, 0xc8, 0xf2, 0x6f, 0x18, 0x40, 0x4b, 0x2e, 0x4c, + 0x4d, 0x71, 0xbf, 0x87, 0xfe, 0x96, 0x0e, 0x40, 0x9d, 0xbb, 0x1e, 0x14, 0x7d, 0xf3, 0xee, 0xf0, 0x2c, 0x22, 0xa2, 0x77, 0xc4, 0x9c, 0x34, 0xa0, 0x86, 0xdd, 0x0a, 0x3a, 0x7d, 0xc5, 0x78, 0xc2, + 0xcb, 0xdb, 0x82, 0xd8, 0xac, 0xb9, 0x87, 0x49, 0xd5, 0x73, 0x98, 0x36, 0xf8, 0x87, 0x4f, 0x06, 0xa2, 0xc2, 0x53, 0xd5, 0x46, 0xb5, 0x95, 0x62, 0xa7, 0x2e, 0xd7, 0xb7, 0x9b, 0x14, 0x21, 0xe9, + 0xe4, 0xea, 0xe9, 0x22, 0xd0, 0x04, 0xd8, 0x0d, 0xd3, 0x74, 0xb3, 0x0a, 0xea, 0x20, 0x67, 0x7d, 0x1e, 0x38, 0x10, 0x71, 0x61, 0xcc, 0x88, 0xbe, 0xfe, 0x64, 0xe6, 0x8d, 0xdd, 0xc1, 0x8b, 0xd9, + 0xee, 0xb7, 0x30, 0x16, 0x71, 0xf3, 0xd6, 0xe3, 0xd6, 0x9e, 0x7f, 0x53, 0xd5, 0xb8, 0xc5, 0x93, 0x69, 0x05, 0x9c, 0xdd, 0xe0, 0x11, 0xfe, 0x08, 0x34, 0x65, 0xb4, 0x9d, 0x06, 0x24, 0x16, 0x03, + 0x6b, 0xf9, 0xc9, 0x3f, 0x3e, 0x73, 0xf5, 0xb9, 0x6e, 0x4c, 0x03, 0x5a, 0x79, 0xa5, 0x3a, 0x93, 0x5f, 0xef, 0x30, 0x08, 0x72, 0xce, 0xa9, 0x93, 0xa8, 0x50, 0x5e, 0xde, 0x74, 0x83, 0x22, 0x4e, + 0x3b, 0x07, 0x09, 0x0b, 0xf4, 0x80, 0x24, 0x10, 0x00, 0x71, 0x7e, 0x00, 0x0f, 0x4f, 0x3a, 0x6a, 0x97, 0xac, 0xe6, 0x50, 0x6d, 0xb1, 0xd0, 0x93, 0x9f, 0x05, 0x51, 0xed, 0xdd, 0x6a, 0x6a, 0xf1, + 0x28, 0x36, 0x62, 0xb9, 0xaa, 0x67, 0x7f, 0xff, 0x5c, 0x37, 0x44, 0x19, 0x59, 0xaf, 0x5a, 0xbb, 0x88, 0xf9, 0x2d, 0x8f, 0xe2, 0x91, 0x9f, 0xe3, 0x6b, 0x6c, 0x0f, 0xae, 0xa5, 0x5c, 0x3d, 0xde, + 0x54, 0xbc, 0x20, 0x16, 0x17, 0xe8, 0xfd, 0x1f, 0xe4, 0x1d, 0x43, 0x36, 0x50, 0xc5, 0x9e, 0x96, 0xe2, 0x47, 0xd4, 0xc8, 0x65, 0xe7, 0xf2, 0xce, 0x02, 0x63, 0x28, 0xec, 0x14, 0x4c, 0x83, 0xbe, + 0xff, 0x28, 0x6b, 0x16, 0x36, 0xf0, 0x20, 0x72, 0xe3, 0xec, 0x09, 0x22, 0x5f, 0x5c, 0xab, 0x89, 0xb5, 0x55, 0xdb, 0x19, 0xa0, 0x52, 0xf4, 0xb2, 0x2b, 0xa8, 0x55, 0xe6, 0x44, 0xa4, 0xc0, 0xb7, + 0x7e, 0x21, 0x1f, 0x90, 0x1b, 0xa0, 0x66, 0xdc, 0x7e, 0x78, 0xaf, 0xd5, 0x72, 0x46, 0x4c, 0x01, 0x55, 0xd2, 0xde, 0x48, 0x33, 0xe9, 0x89, 0x16, 0xfb, 0x2e, 0xa7, 0x96, 0xe8, 0x56, 0xdd, 0x6f, + 0xa7, 0x09, 0xac, 0x30, 0x09, 0xdf, 0x27, 0x11, 0x05, 0x60, 0x0b, 0xad, 0x66, 0x93, 0x97, 0xf0, 0x69, 0x5d, 0xf7, 0xd8, 0x9b, 0xec, 0xe8, 0x74, 0xbc, 0x70, 0xb2, 0x71, 0x48, 0xa1, 0xa1, 0xbd, + 0xf6, 0x2b, 0xdf, 0xc5, 0x65, 0x9f, 0x66, 0xf8, 0xf8, 0x72, 0xee, 0xb2, 0x08, 0x3d, 0x43, 0xb6, 0x93, 0x5e, 0xb8, 0xf9, 0xd9, 0xdb, 0x1f, 0x0a, 0xcc, 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0xc3, 0x2f, 0x40, 0xed, 0xa5, 0x23, 0x21, 0x95, 0xb6, 0x0a, 0x1f, 0x43, 0x40, 0x7f, 0x75, 0x7c, 0xb1, 0x1a, 0x08, 0xa2, 0xbe, 0x08, 0x5a, 0x19, 0x23, 0xbb, 0x29, 0xfb, 0x4f, + 0x13, 0x40, 0x45, 0x03, 0xb7, 0xe8, 0x4a, 0xc9, 0xa0, 0xb8, 0x1a, 0x16, 0xe0, 0x33, 0x43, 0x52, 0x0e, 0x68, 0xf4, 0xdc, 0x68, 0x57, 0x14, 0xc8, 0xac, 0x84, 0x89, 0x77, 0x36, 0xbc, 0x14, 0x00, + 0x07, 0x5d, 0xed, 0x53, 0x1e, 0xd9, 0xe4, 0x35, 0x38, 0x51, 0xa0, 0x1a, 0xae, 0x39, 0x41, 0xc5, 0x72, 0xc2, 0xda, 0x11, 0x21, 0x13, 0x46, 0x2e, 0xdc, 0x49, 0x9b, 0x90, 0x9c, 0x77, 0xe6, 0x5b, + 0x4a, 0x79, 0x14, 0xac, 0xb8, 0x8e, 0x8d, 0xea, 0xbe, 0x3b, 0x44, 0x7c, 0x5c, 0xa6, 0x8c, 0x02, 0x56, 0xb5, 0x44, 0x38, 0xf1, 0xb8, 0x93, 0xbd, 0xf0, 0xdd, 0xb2, 0xad, 0x46, 0x85, 0x1e, 0xe6, + 0x28, 0x73, 0xf8, 0xb9, 0x7e, 0xaa, 0x8f, 0xe8, 0xed, 0xbf, 0x1d, 0xe1, 0x5c, 0x4c, 0xa8, 0xc4, 0xd5, 0x7c, 0x1c, 0x2e, 0x45, 0xf3, 0xd0, 0x45, 0xc5, 0x69, 0x03, 0xca, 0xc8, 0x1b, 0xb0, 0x83, + 0x45, 0x2d, 0x23, 0xac, 0x83, 0x8e, 0x84, 0xf2, 0x6e, 0x62, 0xb5, 0x17, 0x67, 0x85, 0x61, 0x6e, 0xde, 0xbd, 0x14, 0xdd, 0xd4, 0xed, 0x34, 0x9f, 0x6a, 0xc3, 0xf9, 0x32, 0xfc, 0x82, 0x74, 0x47, + 0x14, 0x8f, 0xd0, 0x5a, 0x85, 0xb8, 0xd2, 0x40, 0x39, 0x95, 0x34, 0x14, 0x57, 0x0f, 0x51, 0xa4, 0xd8, 0xb2, 0xff, 0xb4, 0x01, 0xb2, 0xea, 0xcd, 0x14, 0xee, 0xc7, 0xc3, 0xc5, 0x56, 0xf7, 0xd8, + 0x0d, 0x68, 0xca, 0x89, 0xae, 0x77, 0x2d, 0x7e, 0xce, 0x3b, 0x4c, 0xcf, 0x14, 0xce, 0x8c, 0x23, 0x89, 0xe9, 0x34, 0xcd, 0xc1, 0x92, 0xf1, 0x06, 0xfa, 0x31, 0xfe, 0xe1, 0x7d, 0x69, 0xde, 0x01, + 0x57, 0x1d, 0xbd, 0xb8, 0x50, 0x7d, 0x00, 0x28, 0x92, 0xd7, 0x7f, 0xf8, 0xd9, 0xde, 0x6b, 0x01, 0x11, 0x43, 0x3e, 0x1b, 0x98, 0x78, 0xa3, 0x7d, 0x97, 0xd1, 0x4c, 0x46, 0xfd, 0x74, 0x88, 0x70, + 0x14, 0xd3, 0xbd, 0xbd, 0xb8, 0x37, 0x8d, 0x03, 0xa6, 0xcd, 0x1c, 0x30, 0x12, 0x0c, 0x95, 0x49, 0x5f, 0x1e, 0x2a, 0x00, 0xbd, 0xde, 0x36, 0x82, 0x7b, 0x81, 0xb7, 0xa6, 0xdf, 0x0d, 0xa2, 0x24, + 0x45, 0x42, 0xf4, 0x23, 0x0b, 0x19, 0xba, 0xc1, 0xf3, 0x6b, 0x8e, 0xe9, 0xad, 0x92, 0x47, 0x2f, 0xc1, 0x51, 0x4f, 0x73, 0x79, 0xee, 0x38, 0xe8, 0xbe, 0xbe, 0xe5, 0x84, 0xcd, 0x29, 0x98, 0xbc, + 0xf8, 0xcd, 0xa8, 0xf0, 0xeb, 0xc8, 0x70, 0xfc, 0xbf, 0xca, 0xc7, 0xde, 0x70, 0x45, 0x16, 0x3c, 0xe7, 0x39, 0x32, 0x40, 0x5d, 0x63, 0x93, 0x84, 0xaa, 0xf4, 0xd2, 0x8b, 0x48, 0x01, 0xe1, 0xf7, + 0x59, 0x24, 0xf8, 0x31, 0x9e, 0x9a, 0xab, 0xe7, 0xf5, 0x67, 0xe6, 0x58, 0x35, 0x69, 0x88, 0x8f, 0xb1, 0xc0, 0xc6, 0x07, 0xdf, 0x08, 0xe8, 0xa0, 0xc8, 0xc3, 0xf3, 0x0f, 0x38, 0xb5, 0xc1, 0x77, + 0xf2, 0x33, 0x4c, 0x33, 0xf5, 0x37, 0x14, 0x2e, 0x57, 0xe8, 0x9c, 0xaf, 0x4b, 0x1c, 0xcf, 0x90, 0x8c, 0x0d, 0x7f, 0x3d, 0xb7, 0x98, 0x64, 0xc4, 0x00, 0x1b, 0xc4, 0x5c, 0x38, 0x82, 0xbd, 0x7b, + 0x26, 0x38, 0x40, 0x51, 0x74, 0x91, 0xb7, 0xe4, 0x15, 0x94, 0x95, 0xb0, 0xb6, 0xe7, 0x00, 0x53, 0x63, 0x89, 0xae, 0xcb, 0xfe, 0x2d, 0x3f, 0x44, 0x50, 0xd0, 0xd2, 0xdc, 0xe5, 0xee, 0x15, 0x51, + 0x5d, 0x66, 0xa6, 0xac, 0x1b, 0x90, 0x18, 0x63, 0x6d, 0x76, 0x78, 0x8d, 0xa4, 0xab, 0xb9, 0xba, 0xd2, 0x0e, 0x2b, 0x2e, 0x31, 0x89, 0x92, 0xd9, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x08, 0x0e, 0x15, 0x1e, 0x24, 0x26, 0x31, 0x39, +}; +static const ML_DSA_SIG_VER_TEST_DATA ml_dsa_sigver_testdata[] = { + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 20, 1), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 1, 1), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 2, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 3, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 4, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 5, 1), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 6, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 7, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 8, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 9, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 10, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 11, 1), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 12, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 13, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 14, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-44", ML_DSA_44, 15, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 16, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 17, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 18, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 19, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 21, 1), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 22, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 23, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 24, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 25, 1), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 26, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 27, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 28, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 29, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-65", ML_DSA_65, 30, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 31, 1), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 32, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 33, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 34, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 35, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 36, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 37, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 38, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 39, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 40, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 41, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 42, 1), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 43, 1), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 44, 0), + ML_DSA_SIG_VER_TEST_ITEM("ML-DSA-87", ML_DSA_87, 45, 0), +}; diff --git a/test/ml_dsa_test.c b/test/ml_dsa_test.c index db71ed843f9..e02ed397a67 100644 --- a/test/ml_dsa_test.c +++ b/test/ml_dsa_test.c @@ -107,7 +107,7 @@ err: static int ml_dsa_siggen_test(int tst_id) { int ret = 0; - const ML_DSA_SIG_TEST_DATA *td = &ml_dsa_siggen_testdata[tst_id]; + const ML_DSA_SIG_GEN_TEST_DATA *td = &ml_dsa_siggen_testdata[tst_id]; EVP_PKEY_CTX *sctx = NULL; EVP_PKEY *pkey = NULL; EVP_SIGNATURE *sig_alg = NULL; @@ -153,11 +153,6 @@ static int ml_dsa_siggen_test(int tst_id) goto err; if (!TEST_mem_eq(digest, digest_len, td->sig_digest, td->sig_digest_len)) goto err; - - if (!TEST_int_eq(EVP_PKEY_verify_message_init(sctx, sig_alg, params), 1) - || !TEST_int_eq(EVP_PKEY_verify(sctx, psig, psig_len, - td->msg, td->msg_len), 1)) - goto err; ret = 1; err: EVP_SIGNATURE_free(sig_alg); @@ -167,6 +162,38 @@ err: return ret; } +static int ml_dsa_sigver_test(int tst_id) +{ + int ret = 0; + const ML_DSA_SIG_VER_TEST_DATA *td = &ml_dsa_sigver_testdata[tst_id]; + EVP_PKEY_CTX *vctx = NULL; + EVP_PKEY *pkey = NULL; + EVP_SIGNATURE *sig_alg = NULL; + OSSL_PARAM params[2], *p = params; + int encode = 0; + + *p++ = OSSL_PARAM_construct_int(OSSL_SIGNATURE_PARAM_MESSAGE_ENCODING, &encode); + *p = OSSL_PARAM_construct_end(); + + if (!ml_dsa_create_keypair(&pkey, td->alg, NULL, 0, td->pub, td->pub_len)) + goto err; + + if (!TEST_ptr(vctx = EVP_PKEY_CTX_new_from_pkey(lib_ctx, pkey, NULL))) + goto err; + if (!TEST_ptr(sig_alg = EVP_SIGNATURE_fetch(lib_ctx, td->alg, NULL))) + goto err; + if (!TEST_int_eq(EVP_PKEY_verify_message_init(vctx, sig_alg, params), 1) + || !TEST_int_eq(EVP_PKEY_verify(vctx, td->sig, td->sig_len, + td->msg, td->msg_len), td->expected)) + goto err; + ret = 1; +err: + EVP_SIGNATURE_free(sig_alg); + EVP_PKEY_free(pkey); + EVP_PKEY_CTX_free(vctx); + return ret; +} + const OPTIONS *test_get_options(void) { static const OPTIONS options[] = { @@ -200,6 +227,7 @@ int setup_tests(void) ADD_ALL_TESTS(ml_dsa_keygen_test, OSSL_NELEM(ml_dsa_keygen_testdata)); ADD_ALL_TESTS(ml_dsa_siggen_test, OSSL_NELEM(ml_dsa_siggen_testdata)); + ADD_ALL_TESTS(ml_dsa_sigver_test, OSSL_NELEM(ml_dsa_sigver_testdata)); return 1; }