#include "includes.h"
#include "common.h"
+#include "utils/const_time.h"
#include "crypto/sha256.h"
#include "crypto/crypto.h"
#include "eap_defs.h"
#include "eap_pwd_common.h"
+#define MAX_ECC_PRIME_LEN 66
+
+
/* The random function H(x) = HMAC-SHA256(0^32, x) */
struct crypto_hash * eap_pwd_h_init(void)
{
}
+static void buf_shift_right(u8 *buf, size_t len, size_t bits)
+{
+ size_t i;
+ for (i = len - 1; i > 0; i--)
+ buf[i] = (buf[i - 1] << (8 - bits)) | (buf[i] >> bits);
+ buf[0] >>= bits;
+}
+
+
/*
* compute a "random" secret point on an elliptic curve based
* on the password and identities.
const u8 *token)
{
struct crypto_bignum *qr = NULL, *qnr = NULL, *one = NULL;
+ struct crypto_bignum *qr_or_qnr = NULL;
+ u8 qr_bin[MAX_ECC_PRIME_LEN];
+ u8 qnr_bin[MAX_ECC_PRIME_LEN];
+ u8 qr_or_qnr_bin[MAX_ECC_PRIME_LEN];
+ u8 x_bin[MAX_ECC_PRIME_LEN];
struct crypto_bignum *tmp1 = NULL, *tmp2 = NULL, *pm1 = NULL;
struct crypto_hash *hash;
unsigned char pwe_digest[SHA256_MAC_LEN], *prfbuf = NULL, ctr;
- int is_odd, ret = 0, check, found = 0;
- size_t primebytelen, primebitlen;
- struct crypto_bignum *x_candidate = NULL, *rnd = NULL, *cofactor = NULL;
+ int ret = 0, check, res;
+ u8 found = 0; /* 0 (false) or 0xff (true) to be used as const_time_*
+ * mask */
+ size_t primebytelen = 0, primebitlen;
+ struct crypto_bignum *x_candidate = NULL, *cofactor = NULL;
const struct crypto_bignum *prime;
+ u8 mask, found_ctr = 0, is_odd = 0;
if (grp->pwe)
return -1;
+ os_memset(x_bin, 0, sizeof(x_bin));
+
prime = crypto_ec_get_prime(grp->group);
cofactor = crypto_bignum_init();
grp->pwe = crypto_ec_point_init(grp->group);
/* get a random quadratic residue and nonresidue */
while (!qr || !qnr) {
- int res;
-
if (crypto_bignum_rand(tmp1, prime) < 0)
goto fail;
res = crypto_bignum_legendre(tmp1, prime);
if (!tmp1)
goto fail;
}
+ if (crypto_bignum_to_bin(qr, qr_bin, sizeof(qr_bin),
+ primebytelen) < 0 ||
+ crypto_bignum_to_bin(qnr, qnr_bin, sizeof(qnr_bin),
+ primebytelen) < 0)
+ goto fail;
os_memset(prfbuf, 0, primebytelen);
ctr = 0;
eap_pwd_h_update(hash, &ctr, sizeof(ctr));
eap_pwd_h_final(hash, pwe_digest);
- crypto_bignum_deinit(rnd, 1);
- rnd = crypto_bignum_init_set(pwe_digest, SHA256_MAC_LEN);
- if (!rnd) {
- wpa_printf(MSG_INFO, "EAP-pwd: unable to create rnd");
- goto fail;
- }
+ is_odd = const_time_select_u8(
+ found, is_odd, pwe_digest[SHA256_MAC_LEN - 1] & 0x01);
if (eap_pwd_kdf(pwe_digest, SHA256_MAC_LEN,
(u8 *) "EAP-pwd Hunting And Pecking",
os_strlen("EAP-pwd Hunting And Pecking"),
prfbuf, primebitlen) < 0)
goto fail;
+ if (primebitlen % 8)
+ buf_shift_right(prfbuf, primebytelen,
+ 8 - primebitlen % 8);
crypto_bignum_deinit(x_candidate, 1);
x_candidate = crypto_bignum_init_set(prfbuf, primebytelen);
goto fail;
}
- /*
- * eap_pwd_kdf() returns a string of bits 0..primebitlen but
- * BN_bin2bn will treat that string of bits as a big endian
- * number. If the primebitlen is not an even multiple of 8
- * then excessive bits-- those _after_ primebitlen-- so now
- * we have to shift right the amount we masked off.
- */
- if ((primebitlen % 8) &&
- crypto_bignum_rshift(x_candidate,
- (8 - (primebitlen % 8)),
- x_candidate) < 0)
- goto fail;
-
if (crypto_bignum_cmp(x_candidate, prime) >= 0)
continue;
- wpa_hexdump(MSG_DEBUG, "EAP-pwd: x_candidate",
- prfbuf, primebytelen);
+ wpa_hexdump_key(MSG_DEBUG, "EAP-pwd: x_candidate",
+ prfbuf, primebytelen);
+ const_time_select_bin(found, x_bin, prfbuf, primebytelen,
+ x_bin);
/*
* compute y^2 using the equation of the curve
* Flip a coin, multiply by the random quadratic residue or the
* random quadratic nonresidue and record heads or tails.
*/
- if (crypto_bignum_is_odd(tmp1)) {
- crypto_bignum_mulmod(tmp2, qr, prime, tmp2);
- check = 1;
- } else {
- crypto_bignum_mulmod(tmp2, qnr, prime, tmp2);
- check = -1;
- }
+ mask = const_time_eq_u8(crypto_bignum_is_odd(tmp1), 1);
+ check = const_time_select_s8(mask, 1, -1);
+ const_time_select_bin(mask, qr_bin, qnr_bin, primebytelen,
+ qr_or_qnr_bin);
+ crypto_bignum_deinit(qr_or_qnr, 1);
+ qr_or_qnr = crypto_bignum_init_set(qr_or_qnr_bin, primebytelen);
+ if (!qr_or_qnr ||
+ crypto_bignum_mulmod(tmp2, qr_or_qnr, prime, tmp2) < 0)
+ goto fail;
/*
* Now it's safe to do legendre, if check is 1 then it's
* change result), if check is -1 then it's the opposite test
* (multiplying a qr by qnr would make a qnr).
*/
- if (crypto_bignum_legendre(tmp2, prime) == check) {
- if (found == 1)
- continue;
-
- /* need to unambiguously identify the solution */
- is_odd = crypto_bignum_is_odd(rnd);
-
- /*
- * We know x_candidate is a quadratic residue so set
- * it here.
- */
- if (crypto_ec_point_solve_y_coord(grp->group, grp->pwe,
- x_candidate,
- is_odd) != 0) {
- wpa_printf(MSG_INFO,
- "EAP-pwd: Could not solve for y");
- continue;
- }
-
- /*
- * If there's a solution to the equation then the point
- * must be on the curve so why check again explicitly?
- * OpenSSL code says this is required by X9.62. We're
- * not X9.62 but it can't hurt just to be sure.
- */
- if (!crypto_ec_point_is_on_curve(grp->group,
- grp->pwe)) {
- wpa_printf(MSG_INFO,
- "EAP-pwd: point is not on curve");
- continue;
- }
-
- if (!crypto_bignum_is_one(cofactor)) {
- /* make sure the point is not in a small
- * sub-group */
- if (crypto_ec_point_mul(grp->group, grp->pwe,
- cofactor,
- grp->pwe) != 0) {
- wpa_printf(MSG_INFO,
- "EAP-pwd: cannot multiply generator by order");
- continue;
- }
- if (crypto_ec_point_is_at_infinity(grp->group,
- grp->pwe)) {
- wpa_printf(MSG_INFO,
- "EAP-pwd: point is at infinity");
- continue;
- }
- }
- wpa_printf(MSG_DEBUG,
- "EAP-pwd: found a PWE in %d tries", ctr);
- found = 1;
- }
+ res = crypto_bignum_legendre(tmp2, prime);
+ if (res == -2)
+ goto fail;
+ mask = const_time_eq(res, check);
+ found_ctr = const_time_select_u8(found, found_ctr, ctr);
+ found |= mask;
}
if (found == 0) {
wpa_printf(MSG_INFO,
num);
goto fail;
}
+
+ /*
+ * We know x_candidate is a quadratic residue so set it here.
+ */
+ crypto_bignum_deinit(x_candidate, 1);
+ x_candidate = crypto_bignum_init_set(x_bin, primebytelen);
+ if (!x_candidate ||
+ crypto_ec_point_solve_y_coord(grp->group, grp->pwe, x_candidate,
+ is_odd) != 0) {
+ wpa_printf(MSG_INFO, "EAP-pwd: Could not solve for y");
+ goto fail;
+ }
+
+ /*
+ * If there's a solution to the equation then the point must be on the
+ * curve so why check again explicitly? OpenSSL code says this is
+ * required by X9.62. We're not X9.62 but it can't hurt just to be sure.
+ */
+ if (!crypto_ec_point_is_on_curve(grp->group, grp->pwe)) {
+ wpa_printf(MSG_INFO, "EAP-pwd: point is not on curve");
+ goto fail;
+ }
+
+ if (!crypto_bignum_is_one(cofactor)) {
+ /* make sure the point is not in a small sub-group */
+ if (crypto_ec_point_mul(grp->group, grp->pwe, cofactor,
+ grp->pwe) != 0) {
+ wpa_printf(MSG_INFO,
+ "EAP-pwd: cannot multiply generator by order");
+ goto fail;
+ }
+ if (crypto_ec_point_is_at_infinity(grp->group, grp->pwe)) {
+ wpa_printf(MSG_INFO, "EAP-pwd: point is at infinity");
+ goto fail;
+ }
+ }
+ wpa_printf(MSG_DEBUG, "EAP-pwd: found a PWE in %02d tries", found_ctr);
+
if (0) {
fail:
crypto_ec_point_deinit(grp->pwe, 1);
/* cleanliness and order.... */
crypto_bignum_deinit(cofactor, 1);
crypto_bignum_deinit(x_candidate, 1);
- crypto_bignum_deinit(rnd, 1);
crypto_bignum_deinit(pm1, 0);
crypto_bignum_deinit(tmp1, 1);
crypto_bignum_deinit(tmp2, 1);
crypto_bignum_deinit(qr, 1);
crypto_bignum_deinit(qnr, 1);
+ crypto_bignum_deinit(qr_or_qnr, 1);
crypto_bignum_deinit(one, 0);
- os_free(prfbuf);
+ bin_clear_free(prfbuf, primebytelen);
+ os_memset(qr_bin, 0, sizeof(qr_bin));
+ os_memset(qnr_bin, 0, sizeof(qnr_bin));
+ os_memset(qr_or_qnr_bin, 0, sizeof(qr_or_qnr_bin));
+ os_memset(pwe_digest, 0, sizeof(pwe_digest));
return ret;
}