/* * Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved. * * Licensed under the OpenSSL license (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 #include #include #include #include #include "ec_lcl.h" int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen, unsigned char *sig, unsigned int *siglen, const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey) { ECDSA_SIG *s; s = ECDSA_do_sign_ex(dgst, dlen, kinv, r, eckey); if (s == NULL) { *siglen = 0; return 0; } *siglen = i2d_ECDSA_SIG(s, &sig); ECDSA_SIG_free(s); return 1; } static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, BIGNUM **rp, const unsigned char *dgst, int dlen) { BN_CTX *ctx = NULL; BIGNUM *k = NULL, *r = NULL, *X = NULL; const BIGNUM *order; EC_POINT *tmp_point = NULL; const EC_GROUP *group; int ret = 0; int order_bits; if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_PASSED_NULL_PARAMETER); return 0; } if (!EC_KEY_can_sign(eckey)) { ECerr(EC_F_ECDSA_SIGN_SETUP, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING); return 0; } if (ctx_in == NULL) { if ((ctx = BN_CTX_new()) == NULL) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE); return 0; } } else ctx = ctx_in; k = BN_new(); /* this value is later returned in *kinvp */ r = BN_new(); /* this value is later returned in *rp */ X = BN_new(); if (k == NULL || r == NULL || X == NULL) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE); goto err; } if ((tmp_point = EC_POINT_new(group)) == NULL) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); goto err; } order = EC_GROUP_get0_order(group); if (order == NULL) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); goto err; } /* Preallocate space */ order_bits = BN_num_bits(order); if (!BN_set_bit(k, order_bits) || !BN_set_bit(r, order_bits) || !BN_set_bit(X, order_bits)) goto err; do { /* get random k */ do if (dgst != NULL) { if (!BN_generate_dsa_nonce (k, order, EC_KEY_get0_private_key(eckey), dgst, dlen, ctx)) { ECerr(EC_F_ECDSA_SIGN_SETUP, EC_R_RANDOM_NUMBER_GENERATION_FAILED); goto err; } } else { if (!BN_priv_rand_range(k, order)) { ECerr(EC_F_ECDSA_SIGN_SETUP, EC_R_RANDOM_NUMBER_GENERATION_FAILED); goto err; } } while (BN_is_zero(k)); /* compute r the x-coordinate of generator * k */ if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); goto err; } if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_prime_field) { if (!EC_POINT_get_affine_coordinates_GFp (group, tmp_point, X, NULL, ctx)) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); goto err; } } #ifndef OPENSSL_NO_EC2M else { /* NID_X9_62_characteristic_two_field */ if (!EC_POINT_get_affine_coordinates_GF2m(group, tmp_point, X, NULL, ctx)) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); goto err; } } #endif if (!BN_nnmod(r, X, order, ctx)) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); goto err; } } while (BN_is_zero(r)); /* Check if optimized inverse is implemented */ if (EC_GROUP_do_inverse_ord(group, k, k, ctx) == 0) { /* compute the inverse of k */ if (group->mont_data != NULL) { /* * We want inverse in constant time, therefore we utilize the fact * order must be prime and use Fermats Little Theorem instead. */ if (!BN_set_word(X, 2)) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); goto err; } if (!BN_mod_sub(X, order, X, order, ctx)) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); goto err; } BN_set_flags(X, BN_FLG_CONSTTIME); if (!BN_mod_exp_mont_consttime(k, k, X, order, ctx, group->mont_data)) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); goto err; } } else { if (!BN_mod_inverse(k, k, order, ctx)) { ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); goto err; } } } /* clear old values if necessary */ BN_clear_free(*rp); BN_clear_free(*kinvp); /* save the pre-computed values */ *rp = r; *kinvp = k; ret = 1; err: if (!ret) { BN_clear_free(k); BN_clear_free(r); } if (ctx != ctx_in) BN_CTX_free(ctx); EC_POINT_free(tmp_point); BN_clear_free(X); return ret; } int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, BIGNUM **rp) { return ecdsa_sign_setup(eckey, ctx_in, kinvp, rp, NULL, 0); } ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len, const BIGNUM *in_kinv, const BIGNUM *in_r, EC_KEY *eckey) { int ok = 0, i; BIGNUM *kinv = NULL, *s, *m = NULL, *tmp = NULL, *blind = NULL; BIGNUM *blindm = NULL; const BIGNUM *order, *ckinv; BN_CTX *ctx = NULL; const EC_GROUP *group; ECDSA_SIG *ret; const BIGNUM *priv_key; group = EC_KEY_get0_group(eckey); priv_key = EC_KEY_get0_private_key(eckey); if (group == NULL || priv_key == NULL) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_PASSED_NULL_PARAMETER); return NULL; } if (!EC_KEY_can_sign(eckey)) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING); return NULL; } ret = ECDSA_SIG_new(); if (ret == NULL) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); return NULL; } ret->r = BN_new(); ret->s = BN_new(); if (ret->r == NULL || ret->s == NULL) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); goto err; } s = ret->s; ctx = BN_CTX_secure_new(); if (ctx == NULL) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); goto err; } BN_CTX_start(ctx); tmp = BN_CTX_get(ctx); m = BN_CTX_get(ctx); blind = BN_CTX_get(ctx); blindm = BN_CTX_get(ctx); if (blindm == NULL) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); goto err; } order = EC_GROUP_get0_order(group); if (order == NULL) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_EC_LIB); goto err; } i = BN_num_bits(order); /* * Need to truncate digest if it is too long: first truncate whole bytes. */ if (8 * dgst_len > i) dgst_len = (i + 7) / 8; if (!BN_bin2bn(dgst, dgst_len, m)) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); goto err; } /* If still too long truncate remaining bits with a shift */ if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); goto err; } do { if (in_kinv == NULL || in_r == NULL) { if (!ecdsa_sign_setup(eckey, ctx, &kinv, &ret->r, dgst, dgst_len)) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_ECDSA_LIB); goto err; } ckinv = kinv; } else { ckinv = in_kinv; if (BN_copy(ret->r, in_r) == NULL) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); goto err; } } /* * The normal signature calculation is: * * s := k^-1 * (m + r * priv_key) mod order * * We will blind this to protect against side channel attacks * * s := k^-1 * blind^-1 * (blind * m + blind * r * priv_key) mod order */ /* Generate a blinding value */ do { if (!BN_priv_rand(blind, BN_num_bits(order) - 1, BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY)) goto err; } while (BN_is_zero(blind)); BN_set_flags(blind, BN_FLG_CONSTTIME); BN_set_flags(blindm, BN_FLG_CONSTTIME); BN_set_flags(tmp, BN_FLG_CONSTTIME); /* tmp := blind * priv_key * r mod order */ if (!BN_mod_mul(tmp, blind, priv_key, order, ctx)) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); goto err; } if (!BN_mod_mul(tmp, tmp, ret->r, order, ctx)) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); goto err; } /* blindm := blind * m mod order */ if (!BN_mod_mul(blindm, blind, m, order, ctx)) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); goto err; } /* s : = (blind * priv_key * r) + (blind * m) mod order */ if (!BN_mod_add_quick(s, tmp, blindm, order)) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); goto err; } /* s:= s * blind^-1 mod order */ if (BN_mod_inverse(blind, blind, order, ctx) == NULL) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); goto err; } if (!BN_mod_mul(s, s, blind, order, ctx)) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); goto err; } /* s := s * k^-1 mod order */ if (!BN_mod_mul(s, s, ckinv, order, ctx)) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); goto err; } if (BN_is_zero(s)) { /* * if kinv and r have been supplied by the caller, don't * generate new kinv and r values */ if (in_kinv != NULL && in_r != NULL) { ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, EC_R_NEED_NEW_SETUP_VALUES); goto err; } } else /* s != 0 => we have a valid signature */ break; } while (1); ok = 1; err: if (!ok) { ECDSA_SIG_free(ret); ret = NULL; } BN_CTX_end(ctx); BN_CTX_free(ctx); BN_clear_free(kinv); return ret; } /*- * returns * 1: correct signature * 0: incorrect signature * -1: error */ int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len, const unsigned char *sigbuf, int sig_len, EC_KEY *eckey) { ECDSA_SIG *s; const unsigned char *p = sigbuf; unsigned char *der = NULL; int derlen = -1; int ret = -1; s = ECDSA_SIG_new(); if (s == NULL) return ret; if (d2i_ECDSA_SIG(&s, &p, sig_len) == NULL) goto err; /* Ensure signature uses DER and doesn't have trailing garbage */ derlen = i2d_ECDSA_SIG(s, &der); if (derlen != sig_len || memcmp(sigbuf, der, derlen) != 0) goto err; ret = ECDSA_do_verify(dgst, dgst_len, s, eckey); err: OPENSSL_clear_free(der, derlen); ECDSA_SIG_free(s); return ret; } int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len, const ECDSA_SIG *sig, EC_KEY *eckey) { int ret = -1, i; BN_CTX *ctx; const BIGNUM *order; BIGNUM *u1, *u2, *m, *X; EC_POINT *point = NULL; const EC_GROUP *group; const EC_POINT *pub_key; /* check input values */ if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL || (pub_key = EC_KEY_get0_public_key(eckey)) == NULL || sig == NULL) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_MISSING_PARAMETERS); return -1; } if (!EC_KEY_can_sign(eckey)) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING); return -1; } ctx = BN_CTX_new(); if (ctx == NULL) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_MALLOC_FAILURE); return -1; } BN_CTX_start(ctx); u1 = BN_CTX_get(ctx); u2 = BN_CTX_get(ctx); m = BN_CTX_get(ctx); X = BN_CTX_get(ctx); if (X == NULL) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); goto err; } order = EC_GROUP_get0_order(group); if (order == NULL) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB); goto err; } if (BN_is_zero(sig->r) || BN_is_negative(sig->r) || BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) || BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_BAD_SIGNATURE); ret = 0; /* signature is invalid */ goto err; } /* calculate tmp1 = inv(S) mod order */ /* Check if optimized inverse is implemented */ if (EC_GROUP_do_inverse_ord(group, u2, sig->s, ctx) == 0) { if (!BN_mod_inverse(u2, sig->s, order, ctx)) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); goto err; } } /* digest -> m */ i = BN_num_bits(order); /* * Need to truncate digest if it is too long: first truncate whole bytes. */ if (8 * dgst_len > i) dgst_len = (i + 7) / 8; if (!BN_bin2bn(dgst, dgst_len, m)) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); goto err; } /* If still too long truncate remaining bits with a shift */ if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); goto err; } /* u1 = m * tmp mod order */ if (!BN_mod_mul(u1, m, u2, order, ctx)) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); goto err; } /* u2 = r * w mod q */ if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); goto err; } if ((point = EC_POINT_new(group)) == NULL) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_MALLOC_FAILURE); goto err; } if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB); goto err; } if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_prime_field) { if (!EC_POINT_get_affine_coordinates_GFp(group, point, X, NULL, ctx)) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB); goto err; } } #ifndef OPENSSL_NO_EC2M else { /* NID_X9_62_characteristic_two_field */ if (!EC_POINT_get_affine_coordinates_GF2m(group, point, X, NULL, ctx)) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB); goto err; } } #endif if (!BN_nnmod(u1, X, order, ctx)) { ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); goto err; } /* if the signature is correct u1 is equal to sig->r */ ret = (BN_ucmp(u1, sig->r) == 0); err: BN_CTX_end(ctx); BN_CTX_free(ctx); EC_POINT_free(point); return ret; }