test/ecdhtest.c

   1 /*
   2  * Copyright 2002-2016 The OpenSSL Project Authors. All Rights Reserved.
   3  *
   4  * Licensed under the OpenSSL license (the "License").  You may not use
   5  * this file except in compliance with the License.  You can obtain a copy
   6  * in the file LICENSE in the source distribution or at
   7  * https://www.openssl.org/source/license.html
   8  */
   9
  10 /* ====================================================================
  11  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
  12  *
  13  * The Elliptic Curve Public-Key Crypto Library (ECC Code) included
  14  * herein is developed by SUN MICROSYSTEMS, INC., and is contributed
  15  * to the OpenSSL project.
  16  *
  17  * The ECC Code is licensed pursuant to the OpenSSL open source
  18  * license provided below.
  19  *
  20  * The ECDH software is originally written by Douglas Stebila of
  21  * Sun Microsystems Laboratories.
  22  *
  23  */
  24
  25 #include <stdio.h>
  26 #include <stdlib.h>
  27 #include <string.h>
  28
  29 #include "../e_os.h"
  30
  31 #include <openssl/opensslconf.h> /* for OPENSSL_NO_EC */
  32 #include <openssl/crypto.h>
  33 #include <openssl/bio.h>
  34 #include <openssl/bn.h>
  35 #include <openssl/objects.h>
  36 #include <openssl/rand.h>
  37 #include <openssl/sha.h>
  38 #include <openssl/err.h>
  39
  40 #ifdef OPENSSL_NO_EC
  41 int main(int argc, char *argv[])
  42 {
  43     printf("No ECDH support\n");
  44     return (0);
  45 }
  46 #else
  47 # include <openssl/ec.h>
  48
  49 static const char rnd_seed[] =
  50     "string to make the random number generator think it has entropy";
  51
  52 typedef struct {
  53     const int nid;
  54     const char *da;
  55     const char *db;
  56     const char *Z;
  57 } ecdh_kat_t;
  58
  59 static const ecdh_kat_t ecdh_kats[] = {
  60     /* Keys and shared secrets from RFC 5114 */
  61     { NID_X9_62_prime192v1,
  62     "323FA3169D8E9C6593F59476BC142000AB5BE0E249C43426",
  63     "631F95BB4A67632C9C476EEE9AB695AB240A0499307FCF62",
  64     "AD420182633F8526BFE954ACDA376F05E5FF4F837F54FEBE" },
  65     { NID_secp224r1,
  66     "B558EB6C288DA707BBB4F8FBAE2AB9E9CB62E3BC5C7573E22E26D37F",
  67     "AC3B1ADD3D9770E6F6A708EE9F3B8E0AB3B480E9F27F85C88B5E6D18",
  68     "52272F50F46F4EDC9151569092F46DF2D96ECC3B6DC1714A4EA949FA" },
  69     { NID_X9_62_prime256v1,
  70     "814264145F2F56F2E96A8E337A1284993FAF432A5ABCE59E867B7291D507A3AF",
  71     "2CE1788EC197E096DB95A200CC0AB26A19CE6BCCAD562B8EEE1B593761CF7F41",
  72     "DD0F5396219D1EA393310412D19A08F1F5811E9DC8EC8EEA7F80D21C820C2788" },
  73     { NID_secp384r1,
  74     "D27335EA71664AF244DD14E9FD1260715DFD8A7965571C48D709EE7A7962A156"
  75     "D706A90CBCB5DF2986F05FEADB9376F1",
  76     "52D1791FDB4B70F89C0F00D456C2F7023B6125262C36A7DF1F80231121CCE3D3"
  77     "9BE52E00C194A4132C4A6C768BCD94D2",
  78     "5EA1FC4AF7256D2055981B110575E0A8CAE53160137D904C59D926EB1B8456E4"
  79     "27AA8A4540884C37DE159A58028ABC0E" },
  80     { NID_secp521r1,
  81     "0113F82DA825735E3D97276683B2B74277BAD27335EA71664AF2430CC4F33459"
  82     "B9669EE78B3FFB9B8683015D344DCBFEF6FB9AF4C6C470BE254516CD3C1A1FB4"
  83     "7362",
  84     "00CEE3480D8645A17D249F2776D28BAE616952D1791FDB4B70F7C3378732AA1B"
  85     "22928448BCD1DC2496D435B01048066EBE4F72903C361B1A9DC1193DC2C9D089"
  86     "1B96",
  87     "00CDEA89621CFA46B132F9E4CFE2261CDE2D4368EB5656634C7CC98C7A00CDE5"
  88     "4ED1866A0DD3E6126C9D2F845DAFF82CEB1DA08F5D87521BB0EBECA77911169C"
  89     "20CC" },
  90     /* Keys and shared secrets from RFC 5903 */
  91     { NID_X9_62_prime256v1,
  92     "C88F01F510D9AC3F70A292DAA2316DE544E9AAB8AFE84049C62A9C57862D1433",
  93     "C6EF9C5D78AE012A011164ACB397CE2088685D8F06BF9BE0B283AB46476BEE53",
  94     "D6840F6B42F6EDAFD13116E0E12565202FEF8E9ECE7DCE03812464D04B9442DE" },
  95     { NID_secp384r1,
  96     "099F3C7034D4A2C699884D73A375A67F7624EF7C6B3C0F160647B67414DCE655"
  97     "E35B538041E649EE3FAEF896783AB194",
  98     "41CB0779B4BDB85D47846725FBEC3C9430FAB46CC8DC5060855CC9BDA0AA2942"
  99     "E0308312916B8ED2960E4BD55A7448FC",
 100     "11187331C279962D93D604243FD592CB9D0A926F422E47187521287E7156C5C4"
 101     "D603135569B9E9D09CF5D4A270F59746" },
 102     { NID_secp521r1,
 103     "0037ADE9319A89F4DABDB3EF411AACCCA5123C61ACAB57B5393DCE47608172A0"
 104     "95AA85A30FE1C2952C6771D937BA9777F5957B2639BAB072462F68C27A57382D"
 105     "4A52",
 106     "0145BA99A847AF43793FDD0E872E7CDFA16BE30FDC780F97BCCC3F078380201E"
 107     "9C677D600B343757A3BDBF2A3163E4C2F869CCA7458AA4A4EFFC311F5CB15168"
 108     "5EB9",
 109     "01144C7D79AE6956BC8EDB8E7C787C4521CB086FA64407F97894E5E6B2D79B04"
 110     "D1427E73CA4BAA240A34786859810C06B3C715A3A8CC3151F2BEE417996D19F3"
 111     "DDEA" },
 112     /* Keys and shared secrets from RFC 7027 */
 113     { NID_brainpoolP256r1,
 114     "81DB1EE100150FF2EA338D708271BE38300CB54241D79950F77B063039804F1D",
 115     "55E40BC41E37E3E2AD25C3C6654511FFA8474A91A0032087593852D3E7D76BD3",
 116     "89AFC39D41D3B327814B80940B042590F96556EC91E6AE7939BCE31F3A18BF2B" },
 117     { NID_brainpoolP384r1,
 118     "1E20F5E048A5886F1F157C74E91BDE2B98C8B52D58E5003D57053FC4B0BD65D6"
 119     "F15EB5D1EE1610DF870795143627D042",
 120     "032640BC6003C59260F7250C3DB58CE647F98E1260ACCE4ACDA3DD869F74E01F"
 121     "8BA5E0324309DB6A9831497ABAC96670",
 122     "0BD9D3A7EA0B3D519D09D8E48D0785FB744A6B355E6304BC51C229FBBCE239BB"
 123     "ADF6403715C35D4FB2A5444F575D4F42" },
 124     { NID_brainpoolP512r1,
 125     "16302FF0DBBB5A8D733DAB7141C1B45ACBC8715939677F6A56850A38BD87BD59"
 126     "B09E80279609FF333EB9D4C061231FB26F92EEB04982A5F1D1764CAD57665422",
 127     "230E18E1BCC88A362FA54E4EA3902009292F7F8033624FD471B5D8ACE49D12CF"
 128     "ABBC19963DAB8E2F1EBA00BFFB29E4D72D13F2224562F405CB80503666B25429",
 129     "A7927098655F1F9976FA50A9D566865DC530331846381C87256BAF3226244B76"
 130     "D36403C024D7BBF0AA0803EAFF405D3D24F11A9B5C0BEF679FE1454B21C4CD1F" }
 131 };
 132
 133 /* Given private value and NID, create EC_KEY structure */
 134
 135 static EC_KEY *mk_eckey(int nid, const char *str)
 136 {
 137     int ok = 0;
 138     EC_KEY *k = NULL;
 139     BIGNUM *priv = NULL;
 140     EC_POINT *pub = NULL;
 141     const EC_GROUP *grp;
 142     k = EC_KEY_new_by_curve_name(nid);
 143     if (!k)
 144         goto err;
 145     if(!BN_hex2bn(&priv, str))
 146         goto err;
 147     if (!priv)
 148         goto err;
 149     if (!EC_KEY_set_private_key(k, priv))
 150         goto err;
 151     grp = EC_KEY_get0_group(k);
 152     pub = EC_POINT_new(grp);
 153     if (!pub)
 154         goto err;
 155     if (!EC_POINT_mul(grp, pub, priv, NULL, NULL, NULL))
 156         goto err;
 157     if (!EC_KEY_set_public_key(k, pub))
 158         goto err;
 159     ok = 1;
 160  err:
 161     BN_clear_free(priv);
 162     EC_POINT_free(pub);
 163     if (ok)
 164         return k;
 165     EC_KEY_free(k);
 166     return NULL;
 167 }
 168
 169 /*
 170  * Known answer test: compute shared secret and check it matches expected
 171  * value.
 172  */
 173
 174 static int ecdh_kat(BIO *out, const ecdh_kat_t *kat)
 175 {
 176     int rv = 0;
 177     EC_KEY *key1 = NULL, *key2 = NULL;
 178     BIGNUM *bnz = NULL;
 179     unsigned char *Ztmp = NULL, *Z = NULL;
 180     size_t Ztmplen, Zlen;
 181     BIO_puts(out, "Testing ECDH shared secret with ");
 182     BIO_puts(out, OBJ_nid2sn(kat->nid));
 183     if(!BN_hex2bn(&bnz, kat->Z))
 184         goto err;
 185     key1 = mk_eckey(kat->nid, kat->da);
 186     key2 = mk_eckey(kat->nid, kat->db);
 187     if (!key1 || !key2)
 188         goto err;
 189     Ztmplen = (EC_GROUP_get_degree(EC_KEY_get0_group(key1)) + 7) / 8;
 190     Zlen = BN_num_bytes(bnz);
 191     if (Zlen > Ztmplen)
 192         goto err;
 193     if((Ztmp = OPENSSL_zalloc(Ztmplen)) == NULL)
 194         goto err;
 195     if((Z = OPENSSL_zalloc(Ztmplen)) == NULL)
 196         goto err;
 197     if(!BN_bn2binpad(bnz, Z, Ztmplen))
 198         goto err;
 199     if (!ECDH_compute_key(Ztmp, Ztmplen,
 200                           EC_KEY_get0_public_key(key2), key1, 0))
 201         goto err;
 202     if (memcmp(Ztmp, Z, Ztmplen))
 203         goto err;
 204     memset(Ztmp, 0, Ztmplen);
 205     if (!ECDH_compute_key(Ztmp, Ztmplen,
 206                           EC_KEY_get0_public_key(key1), key2, 0))
 207         goto err;
 208     if (memcmp(Ztmp, Z, Ztmplen))
 209         goto err;
 210     rv = 1;
 211  err:
 212     EC_KEY_free(key1);
 213     EC_KEY_free(key2);
 214     OPENSSL_free(Ztmp);
 215     OPENSSL_free(Z);
 216     BN_free(bnz);
 217     if (rv)
 218         BIO_puts(out, " ok\n");
 219     else {
 220         fprintf(stderr, "Error in ECDH routines\n");
 221         ERR_print_errors_fp(stderr);
 222     }
 223     return rv;
 224 }
 225
 226 #include "ecdhtest_cavs.h"
 227
 228 /*
 229  * NIST SP800-56A co-factor ECDH tests.
 230  * KATs taken from NIST documents with parameters:
 231  *
 232  * - (QCAVSx,QCAVSy) is the public key for CAVS.
 233  * - dIUT is the private key for IUT.
 234  * - (QIUTx,QIUTy) is the public key for IUT.
 235  * - ZIUT is the shared secret KAT.
 236  *
 237  * CAVS: Cryptographic Algorithm Validation System
 238  * IUT: Implementation Under Test
 239  *
 240  * This function tests two things:
 241  *
 242  * 1. dIUT * G = (QIUTx,QIUTy)
 243  *    i.e. public key for IUT computes correctly.
 244  * 2. x-coord of cofactor * dIUT * (QCAVSx,QCAVSy) = ZIUT
 245  *    i.e. co-factor ECDH key computes correctly.
 246  *
 247  * returns zero on failure or unsupported curve. One otherwise.
 248  */
 249 static int ecdh_cavs_kat(BIO *out, const ecdh_cavs_kat_t *kat)
 250 {
 251     int rv = 0, is_char_two = 0;
 252     EC_KEY *key1 = NULL;
 253     EC_POINT *pub = NULL;
 254     const EC_GROUP *group = NULL;
 255     BIGNUM *bnz = NULL, *x = NULL, *y = NULL;
 256     unsigned char *Ztmp = NULL, *Z = NULL;
 257     size_t Ztmplen, Zlen;
 258     BIO_puts(out, "Testing ECC CDH Primitive SP800-56A with ");
 259     BIO_puts(out, OBJ_nid2sn(kat->nid));
 260
 261     /* dIUT is IUT's private key */
 262     if ((key1 = mk_eckey(kat->nid, kat->dIUT)) == NULL)
 263         goto err;
 264     /* these are cofactor ECDH KATs */
 265     EC_KEY_set_flags(key1, EC_FLAG_COFACTOR_ECDH);
 266
 267     if ((group = EC_KEY_get0_group(key1)) == NULL)
 268         goto err;
 269     if ((pub = EC_POINT_new(group)) == NULL)
 270         goto err;
 271
 272     if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_characteristic_two_field)
 273         is_char_two = 1;
 274
 275     /* (QIUTx, QIUTy) is IUT's public key */
 276     if(!BN_hex2bn(&x, kat->QIUTx))
 277         goto err;
 278     if(!BN_hex2bn(&y, kat->QIUTy))
 279         goto err;
 280     if (is_char_two) {
 281 #ifdef OPENSSL_NO_EC2M
 282         goto err;
 283 #else
 284         if (!EC_POINT_set_affine_coordinates_GF2m(group, pub, x, y, NULL))
 285             goto err;
 286 #endif
 287     }
 288     else {
 289         if (!EC_POINT_set_affine_coordinates_GFp(group, pub, x, y, NULL))
 290             goto err;
 291     }
 292     /* dIUT * G = (QIUTx, QIUTy) should hold */
 293     if (EC_POINT_cmp(group, EC_KEY_get0_public_key(key1), pub, NULL))
 294         goto err;
 295
 296     /* (QCAVSx, QCAVSy) is CAVS's public key */
 297     if(!BN_hex2bn(&x, kat->QCAVSx))
 298         goto err;
 299     if(!BN_hex2bn(&y, kat->QCAVSy))
 300         goto err;
 301     if (is_char_two) {
 302 #ifdef OPENSSL_NO_EC2M
 303         goto err;
 304 #else
 305         if (!EC_POINT_set_affine_coordinates_GF2m(group, pub, x, y, NULL))
 306             goto err;
 307 #endif
 308     }
 309     else {
 310         if (!EC_POINT_set_affine_coordinates_GFp(group, pub, x, y, NULL))
 311             goto err;
 312     }
 313
 314     /* ZIUT is the shared secret */
 315     if(!BN_hex2bn(&bnz, kat->ZIUT))
 316         goto err;
 317     Ztmplen = (EC_GROUP_get_degree(EC_KEY_get0_group(key1)) + 7) / 8;
 318     Zlen = BN_num_bytes(bnz);
 319     if (Zlen > Ztmplen)
 320         goto err;
 321     if((Ztmp = OPENSSL_zalloc(Ztmplen)) == NULL)
 322         goto err;
 323     if((Z = OPENSSL_zalloc(Ztmplen)) == NULL)
 324         goto err;
 325     if(!BN_bn2binpad(bnz, Z, Ztmplen))
 326         goto err;
 327     if (!ECDH_compute_key(Ztmp, Ztmplen, pub, key1, 0))
 328         goto err;
 329     /* shared secrets should be identical */
 330     if (memcmp(Ztmp, Z, Ztmplen))
 331         goto err;
 332     rv = 1;
 333  err:
 334     EC_KEY_free(key1);
 335     EC_POINT_free(pub);
 336     BN_free(bnz);
 337     BN_free(x);
 338     BN_free(y);
 339     OPENSSL_free(Ztmp);
 340     OPENSSL_free(Z);
 341     if (rv) {
 342         BIO_puts(out, " ok\n");
 343     }
 344     else {
 345         fprintf(stderr, "Error in ECC CDH routines\n");
 346         ERR_print_errors_fp(stderr);
 347     }
 348     return rv;
 349 }
 350
 351 int main(int argc, char *argv[])
 352 {
 353     BN_CTX *ctx = NULL;
 354     int ret = 1;
 355     EC_builtin_curve *curves = NULL;
 356     size_t crv_len = 0, n = 0;
 357     BIO *out;
 358
 359     CRYPTO_set_mem_debug(1);
 360     CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
 361
 362     RAND_seed(rnd_seed, sizeof rnd_seed);
 363
 364     out = BIO_new(BIO_s_file());
 365     if (out == NULL)
 366         EXIT(1);
 367     BIO_set_fp(out, stdout, BIO_NOCLOSE | BIO_FP_TEXT);
 368
 369     if ((ctx = BN_CTX_new()) == NULL)
 370         goto err;
 371
 372     /* get a list of all internal curves */
 373     crv_len = EC_get_builtin_curves(NULL, 0);
 374     curves = OPENSSL_malloc(sizeof(*curves) * crv_len);
 375     if (curves == NULL) goto err;
 376
 377     if (!EC_get_builtin_curves(curves, crv_len)) goto err;
 378
 379     /* NAMED CURVES TESTS: moved to evptests.txt */
 380
 381     /* KATs */
 382     for (n = 0; n < (sizeof(ecdh_kats)/sizeof(ecdh_kat_t)); n++) {
 383         if (!ecdh_kat(out, &ecdh_kats[n]))
 384             goto err;
 385     }
 386
 387     /* NIST SP800-56A co-factor ECDH KATs */
 388     for (n = 0; n < (sizeof(ecdh_cavs_kats)/sizeof(ecdh_cavs_kat_t)); n++) {
 389         if (!ecdh_cavs_kat(out, &ecdh_cavs_kats[n]))
 390             goto err;
 391     }
 392
 393     ret = 0;
 394
 395  err:
 396     ERR_print_errors_fp(stderr);
 397     OPENSSL_free(curves);
 398     BN_CTX_free(ctx);
 399     BIO_free(out);
 400
 401 #ifndef OPENSSL_NO_CRYPTO_MDEBUG
 402     if (CRYPTO_mem_leaks_fp(stderr) <= 0)
 403         ret = 1;
 404 #endif
 405     EXIT(ret);
 406 }
 407 #endif