/* ==================================================================== * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * * 3. All advertising materials mentioning features or use of this * software must display the following acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)" * * 4. 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IN NO EVENT SHALL THE OpenSSL PROJECT OR * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED * OF THE POSSIBILITY OF SUCH DAMAGE. * ==================================================================== * * This product includes cryptographic software written by Eric Young * (eay@cryptsoft.com). This product includes software written by Tim * Hudson (tjh@cryptsoft.com). */ #include #include #include #include #include #include #include #include #include "../bn/internal.h" #include "../ec/internal.h" #include "../../internal.h" // digest_to_scalar interprets |digest_len| bytes from |digest| as a scalar for // ECDSA. Note this value is not fully reduced modulo the order, only the // correct number of bits. static void digest_to_scalar(const EC_GROUP *group, EC_SCALAR *out, const uint8_t *digest, size_t digest_len) { const BIGNUM *order = &group->order; size_t num_bits = BN_num_bits(order); // Need to truncate digest if it is too long: first truncate whole bytes. size_t num_bytes = (num_bits + 7) / 8; if (digest_len > num_bytes) { digest_len = num_bytes; } OPENSSL_memset(out, 0, sizeof(EC_SCALAR)); for (size_t i = 0; i < digest_len; i++) { out->bytes[i] = digest[digest_len - 1 - i]; } // If it is still too long, truncate remaining bits with a shift. if (8 * digest_len > num_bits) { bn_rshift_words(out->words, out->words, 8 - (num_bits & 0x7), order->width); } // |out| now has the same bit width as |order|, but this only bounds by // 2*|order|. Subtract the order if out of range. // // Montgomery multiplication accepts the looser bounds, so this isn't strictly // necessary, but it is a cleaner abstraction and has no performance impact. BN_ULONG tmp[EC_MAX_WORDS]; bn_reduce_once_in_place(out->words, 0 /* no carry */, order->d, tmp, order->width); } ECDSA_SIG *ECDSA_SIG_new(void) { ECDSA_SIG *sig = OPENSSL_malloc(sizeof(ECDSA_SIG)); if (sig == NULL) { return NULL; } sig->r = BN_new(); sig->s = BN_new(); if (sig->r == NULL || sig->s == NULL) { ECDSA_SIG_free(sig); return NULL; } return sig; } void ECDSA_SIG_free(ECDSA_SIG *sig) { if (sig == NULL) { return; } BN_free(sig->r); BN_free(sig->s); OPENSSL_free(sig); } void ECDSA_SIG_get0(const ECDSA_SIG *sig, const BIGNUM **out_r, const BIGNUM **out_s) { if (out_r != NULL) { *out_r = sig->r; } if (out_s != NULL) { *out_s = sig->s; } } int ECDSA_SIG_set0(ECDSA_SIG *sig, BIGNUM *r, BIGNUM *s) { if (r == NULL || s == NULL) { return 0; } BN_free(sig->r); BN_free(sig->s); sig->r = r; sig->s = s; return 1; } int ECDSA_do_verify(const uint8_t *digest, size_t digest_len, const ECDSA_SIG *sig, const EC_KEY *eckey) { const EC_GROUP *group = EC_KEY_get0_group(eckey); const EC_POINT *pub_key = EC_KEY_get0_public_key(eckey); if (group == NULL || pub_key == NULL || sig == NULL) { OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_MISSING_PARAMETERS); return 0; } EC_SCALAR r, s, u1, u2, s_inv_mont, m; if (BN_is_zero(sig->r) || !ec_bignum_to_scalar(group, &r, sig->r) || BN_is_zero(sig->s) || !ec_bignum_to_scalar(group, &s, sig->s)) { OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_BAD_SIGNATURE); return 0; } // s_inv_mont = s^-1 in the Montgomery domain. This is ec_scalar_inv_montgomery_vartime(group, &s_inv_mont, &s); // u1 = m * s^-1 mod order // u2 = r * s^-1 mod order // // |s_inv_mont| is in Montgomery form while |m| and |r| are not, so |u1| and // |u2| will be taken out of Montgomery form, as desired. digest_to_scalar(group, &m, digest, digest_len); ec_scalar_mul_montgomery(group, &u1, &m, &s_inv_mont); ec_scalar_mul_montgomery(group, &u2, &r, &s_inv_mont); EC_RAW_POINT point; if (!ec_point_mul_scalar_public(group, &point, &u1, &pub_key->raw, &u2)) { OPENSSL_PUT_ERROR(ECDSA, ERR_R_EC_LIB); return 0; } if (!ec_cmp_x_coordinate(group, &point, &r)) { OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_BAD_SIGNATURE); return 0; } return 1; } static int ecdsa_sign_setup(const EC_KEY *eckey, EC_SCALAR *out_kinv_mont, EC_SCALAR *out_r, const uint8_t *digest, size_t digest_len, const EC_SCALAR *priv_key) { // Check that the size of the group order is FIPS compliant (FIPS 186-4 // B.5.2). const EC_GROUP *group = EC_KEY_get0_group(eckey); const BIGNUM *order = EC_GROUP_get0_order(group); if (BN_num_bits(order) < 160) { OPENSSL_PUT_ERROR(ECDSA, EC_R_INVALID_GROUP_ORDER); return 0; } int ret = 0; EC_SCALAR k; EC_RAW_POINT tmp_point; do { // Include the private key and message digest in the k generation. if (eckey->fixed_k != NULL) { if (!ec_bignum_to_scalar(group, &k, eckey->fixed_k)) { goto err; } } else { // Pass a SHA512 hash of the private key and digest as additional data // into the RBG. This is a hardening measure against entropy failure. OPENSSL_COMPILE_ASSERT(SHA512_DIGEST_LENGTH >= 32, additional_data_is_too_large_for_sha512); SHA512_CTX sha; uint8_t additional_data[SHA512_DIGEST_LENGTH]; SHA512_Init(&sha); SHA512_Update(&sha, priv_key->words, order->width * sizeof(BN_ULONG)); SHA512_Update(&sha, digest, digest_len); SHA512_Final(additional_data, &sha); if (!ec_random_nonzero_scalar(group, &k, additional_data)) { goto err; } } // Compute k^-1 in the Montgomery domain. This is |ec_scalar_to_montgomery| // followed by |ec_scalar_inv_montgomery|, but |ec_scalar_inv_montgomery| // followed by |ec_scalar_from_montgomery| is equivalent and slightly more // efficient. ec_scalar_inv_montgomery(group, out_kinv_mont, &k); ec_scalar_from_montgomery(group, out_kinv_mont, out_kinv_mont); // Compute r, the x-coordinate of generator * k. if (!ec_point_mul_scalar(group, &tmp_point, &k, NULL, NULL) || !ec_get_x_coordinate_as_scalar(group, out_r, &tmp_point)) { goto err; } } while (ec_scalar_is_zero(group, out_r)); ret = 1; err: OPENSSL_cleanse(&k, sizeof(k)); return ret; } ECDSA_SIG *ECDSA_do_sign(const uint8_t *digest, size_t digest_len, const EC_KEY *eckey) { if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) { OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_NOT_IMPLEMENTED); return NULL; } const EC_GROUP *group = EC_KEY_get0_group(eckey); if (group == NULL || eckey->priv_key == NULL) { OPENSSL_PUT_ERROR(ECDSA, ERR_R_PASSED_NULL_PARAMETER); return NULL; } const BIGNUM *order = EC_GROUP_get0_order(group); const EC_SCALAR *priv_key = &eckey->priv_key->scalar; int ok = 0; ECDSA_SIG *ret = ECDSA_SIG_new(); EC_SCALAR kinv_mont, r_mont, s, m, tmp; if (ret == NULL) { OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE); return NULL; } digest_to_scalar(group, &m, digest, digest_len); for (;;) { if (!ecdsa_sign_setup(eckey, &kinv_mont, &r_mont, digest, digest_len, priv_key) || !bn_set_words(ret->r, r_mont.words, order->width)) { goto err; } // Compute priv_key * r (mod order). Note if only one parameter is in the // Montgomery domain, |ec_scalar_mod_mul_montgomery| will compute the answer // in the normal domain. ec_scalar_to_montgomery(group, &r_mont, &r_mont); ec_scalar_mul_montgomery(group, &s, priv_key, &r_mont); // Compute tmp = m + priv_key * r. ec_scalar_add(group, &tmp, &m, &s); // Finally, multiply s by k^-1. That was retained in Montgomery form, so the // same technique as the previous multiplication works. ec_scalar_mul_montgomery(group, &s, &tmp, &kinv_mont); if (!bn_set_words(ret->s, s.words, order->width)) { goto err; } if (!BN_is_zero(ret->s)) { // s != 0 => we have a valid signature break; } } ok = 1; err: if (!ok) { ECDSA_SIG_free(ret); ret = NULL; } OPENSSL_cleanse(&kinv_mont, sizeof(kinv_mont)); OPENSSL_cleanse(&r_mont, sizeof(r_mont)); OPENSSL_cleanse(&s, sizeof(s)); OPENSSL_cleanse(&tmp, sizeof(tmp)); OPENSSL_cleanse(&m, sizeof(m)); return ret; }