// Copyright 2002-2016 The OpenSSL Project Authors. All Rights Reserved. // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // https://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. #include #include #include #include #include #include #include "../../internal.h" #include "../bn/internal.h" #include "../ec/internal.h" #include "../service_indicator/internal.h" #include "internal.h" // digest_to_scalar interprets |digest_len| bytes from |digest| as a scalar for // ECDSA. static void digest_to_scalar(const EC_GROUP *group, EC_SCALAR *out, const uint8_t *digest, size_t digest_len) { const BIGNUM *order = EC_GROUP_get0_order(group); 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; } bn_big_endian_to_words(out->words, order->width, digest, digest_len); // 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); } int ecdsa_verify_fixed_no_self_test(const uint8_t *digest, size_t digest_len, const uint8_t *sig, size_t sig_len, 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; } size_t scalar_len = BN_num_bytes(EC_GROUP_get0_order(group)); EC_SCALAR r, s, u1, u2, s_inv_mont, m; if (sig_len != 2 * scalar_len || !ec_scalar_from_bytes(group, &r, sig, scalar_len) || ec_scalar_is_zero(group, &r) || !ec_scalar_from_bytes(group, &s, sig + scalar_len, scalar_len) || ec_scalar_is_zero(group, &s)) { OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_BAD_SIGNATURE); return 0; } // s_inv_mont = s^-1 in the Montgomery domain. if (!ec_scalar_to_montgomery_inv_vartime(group, &s_inv_mont, &s)) { OPENSSL_PUT_ERROR(ECDSA, ERR_R_INTERNAL_ERROR); return 0; } // 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_JACOBIAN 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; } int ecdsa_verify_fixed(const uint8_t *digest, size_t digest_len, const uint8_t *sig, size_t sig_len, const EC_KEY *key) { boringssl_ensure_ecc_self_test(); return ecdsa_verify_fixed_no_self_test(digest, digest_len, sig, sig_len, key); } static int ecdsa_sign_impl(const EC_GROUP *group, int *out_retry, uint8_t *sig, size_t *out_sig_len, size_t max_sig_len, const EC_SCALAR *priv_key, const EC_SCALAR *k, const uint8_t *digest, size_t digest_len) { *out_retry = 0; // Check that the size of the group order is FIPS compliant (FIPS 186-4 // B.5.2). const BIGNUM *order = EC_GROUP_get0_order(group); if (BN_num_bits(order) < 160) { OPENSSL_PUT_ERROR(EC, EC_R_INVALID_GROUP_ORDER); return 0; } size_t sig_len = 2 * BN_num_bytes(order); if (sig_len > max_sig_len) { OPENSSL_PUT_ERROR(EC, EC_R_BUFFER_TOO_SMALL); return 0; } // Compute r, the x-coordinate of k * generator. EC_JACOBIAN tmp_point; EC_SCALAR r; if (!ec_point_mul_scalar_base(group, &tmp_point, k) || !ec_get_x_coordinate_as_scalar(group, &r, &tmp_point)) { return 0; } if (constant_time_declassify_int(ec_scalar_is_zero(group, &r))) { *out_retry = 1; return 0; } // s = priv_key * r. 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 s; ec_scalar_to_montgomery(group, &s, &r); ec_scalar_mul_montgomery(group, &s, priv_key, &s); // s = m + priv_key * r. EC_SCALAR tmp; digest_to_scalar(group, &tmp, digest, digest_len); ec_scalar_add(group, &s, &s, &tmp); // s = k^-1 * (m + priv_key * r). First, we compute k^-1 in the Montgomery // domain. This is |ec_scalar_to_montgomery| followed by // |ec_scalar_inv0_montgomery|, but |ec_scalar_inv0_montgomery| followed by // |ec_scalar_from_montgomery| is equivalent and slightly more efficient. // Then, as above, only one parameter is in the Montgomery domain, so the // result is in the normal domain. Finally, note k is non-zero (or computing r // would fail), so the inverse must exist. ec_scalar_inv0_montgomery(group, &tmp, k); // tmp = k^-1 R^2 ec_scalar_from_montgomery(group, &tmp, &tmp); // tmp = k^-1 R ec_scalar_mul_montgomery(group, &s, &s, &tmp); if (constant_time_declassify_int(ec_scalar_is_zero(group, &s))) { *out_retry = 1; return 0; } CONSTTIME_DECLASSIFY(r.words, sizeof(r.words)); CONSTTIME_DECLASSIFY(s.words, sizeof(r.words)); size_t len; ec_scalar_to_bytes(group, sig, &len, &r); assert(len == sig_len / 2); ec_scalar_to_bytes(group, sig + len, &len, &s); assert(len == sig_len / 2); *out_sig_len = sig_len; return 1; } int ecdsa_sign_fixed_with_nonce_for_known_answer_test( const uint8_t *digest, size_t digest_len, uint8_t *sig, size_t *out_sig_len, size_t max_sig_len, const EC_KEY *eckey, const uint8_t *nonce, size_t nonce_len) { if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) { OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_NOT_IMPLEMENTED); return 0; } 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 0; } const EC_SCALAR *priv_key = &eckey->priv_key->scalar; EC_SCALAR k; if (!ec_scalar_from_bytes(group, &k, nonce, nonce_len)) { return 0; } int retry_ignored; return ecdsa_sign_impl(group, &retry_ignored, sig, out_sig_len, max_sig_len, priv_key, &k, digest, digest_len); } int ecdsa_sign_fixed(const uint8_t *digest, size_t digest_len, uint8_t *sig, size_t *out_sig_len, size_t max_sig_len, const EC_KEY *eckey) { boringssl_ensure_ecc_self_test(); if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) { OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_NOT_IMPLEMENTED); return 0; } 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 0; } const BIGNUM *order = EC_GROUP_get0_order(group); const EC_SCALAR *priv_key = &eckey->priv_key->scalar; // Pass a SHA512 hash of the private key and digest as additional data // into the RBG. This is a hardening measure against entropy failure. static_assert(BCM_SHA512_DIGEST_LENGTH >= 32, "additional_data is too large for SHA-512"); FIPS_service_indicator_lock_state(); SHA512_CTX sha; uint8_t additional_data[BCM_SHA512_DIGEST_LENGTH]; BCM_sha512_init(&sha); BCM_sha512_update(&sha, priv_key->words, order->width * sizeof(BN_ULONG)); BCM_sha512_update(&sha, digest, digest_len); BCM_sha512_final(additional_data, &sha); // Cap iterations so callers who supply invalid values as custom groups do not // infinite loop. This does not impact valid parameters (e.g. those covered by // FIPS) because the probability of requiring even one retry is negligible, // let alone 32. static const int kMaxIterations = 32; int ret = 0; int iters = 0; for (;;) { EC_SCALAR k; if (!ec_random_nonzero_scalar(group, &k, additional_data)) { goto out; } // TODO(davidben): Move this inside |ec_random_nonzero_scalar| or lower, so // that all scalars we generate are, by default, secret. CONSTTIME_SECRET(k.words, sizeof(k.words)); int retry; ret = ecdsa_sign_impl(group, &retry, sig, out_sig_len, max_sig_len, priv_key, &k, digest, digest_len); if (ret || !retry) { goto out; } iters++; if (iters > kMaxIterations) { OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_TOO_MANY_ITERATIONS); goto out; } } out: FIPS_service_indicator_unlock_state(); return ret; }