/* LibTomCrypt, modular cryptographic library -- Tom St Denis */ /* SPDX-License-Identifier: Unlicense */ #include "tomcrypt_private.h" #ifdef LTC_MECC /** @file ecc_verify_hash.c ECC Crypto, Tom St Denis */ /** Verify an ECC signature in RFC7518 format @param sig The signature to verify @param siglen The length of the signature (octets) @param hash The hash (message digest) that was signed @param hashlen The length of the hash (octets) @param sigformat The format of the signature (ecc_signature_type) @param stat Result of signature, 1==valid, 0==invalid @param key The corresponding public ECC key @return CRYPT_OK if successful (even if the signature is not valid) */ int ecc_verify_hash_ex(const unsigned char *sig, unsigned long siglen, const unsigned char *hash, unsigned long hashlen, ecc_signature_type sigformat, int *stat, const ecc_key *key) { ecc_point *mG = NULL, *mQ = NULL; void *r, *s, *v, *w, *u1, *u2, *e, *p, *m, *a, *a_plus3; void *mu = NULL, *ma = NULL; void *mp = NULL; int err; unsigned long pbits, pbytes, i, shift_right; unsigned char ch, buf[MAXBLOCKSIZE]; LTC_ARGCHK(sig != NULL); LTC_ARGCHK(hash != NULL); LTC_ARGCHK(stat != NULL); LTC_ARGCHK(key != NULL); /* default to invalid signature */ *stat = 0; /* allocate ints */ if ((err = mp_init_multi(&r, &s, &v, &w, &u1, &u2, &e, &a_plus3, LTC_NULL)) != CRYPT_OK) { return err; } p = key->dp.order; m = key->dp.prime; a = key->dp.A; if ((err = mp_add_d(a, 3, a_plus3)) != CRYPT_OK) { goto error; } /* allocate points */ mG = ltc_ecc_new_point(); mQ = ltc_ecc_new_point(); if (mQ == NULL || mG == NULL) { err = CRYPT_MEM; goto error; } if (sigformat == LTC_ECCSIG_ANSIX962) { /* ANSI X9.62 format - ASN.1 encoded SEQUENCE{ INTEGER(r), INTEGER(s) } */ if ((err = der_decode_sequence_multi_ex(sig, siglen, LTC_DER_SEQ_SEQUENCE | LTC_DER_SEQ_STRICT, LTC_ASN1_INTEGER, 1UL, r, LTC_ASN1_INTEGER, 1UL, s, LTC_ASN1_EOL, 0UL, LTC_NULL)) != CRYPT_OK) { goto error; } } else if (sigformat == LTC_ECCSIG_RFC7518) { /* RFC7518 format - raw (r,s) */ i = mp_unsigned_bin_size(key->dp.order); if (siglen != (2 * i)) { err = CRYPT_INVALID_PACKET; goto error; } if ((err = mp_read_unsigned_bin(r, (unsigned char *)sig, i)) != CRYPT_OK) { goto error; } if ((err = mp_read_unsigned_bin(s, (unsigned char *)sig+i, i)) != CRYPT_OK) { goto error; } } else if (sigformat == LTC_ECCSIG_ETH27) { /* Ethereum (v,r,s) format */ if (pk_oid_cmp_with_ulong("1.3.132.0.10", key->dp.oid, key->dp.oidlen) != CRYPT_OK) { /* Only valid for secp256k1 - OID 1.3.132.0.10 */ err = CRYPT_ERROR; goto error; } if (siglen != 65) { /* Only secp256k1 curves use this format, so must be 65 bytes long */ err = CRYPT_INVALID_PACKET; goto error; } if ((err = mp_read_unsigned_bin(r, (unsigned char *)sig, 32)) != CRYPT_OK) { goto error; } if ((err = mp_read_unsigned_bin(s, (unsigned char *)sig+32, 32)) != CRYPT_OK) { goto error; } } #ifdef LTC_SSH else if (sigformat == LTC_ECCSIG_RFC5656) { char name[64], name2[64]; unsigned long namelen = sizeof(name); unsigned long name2len = sizeof(name2); /* Decode as SSH data sequence, per RFC4251 */ if ((err = ssh_decode_sequence_multi(sig, &siglen, LTC_SSHDATA_STRING, name, &namelen, LTC_SSHDATA_MPINT, r, LTC_SSHDATA_MPINT, s, LTC_SSHDATA_EOL, NULL)) != CRYPT_OK) { goto error; } /* Check curve matches identifier string */ if ((err = ecc_ssh_ecdsa_encode_name(name2, &name2len, key)) != CRYPT_OK) { goto error; } if ((namelen != name2len) || (XSTRCMP(name, name2) != 0)) { err = CRYPT_INVALID_ARG; goto error; } } #endif else { /* Unknown signature format */ err = CRYPT_ERROR; goto error; } /* check for zero */ if (mp_cmp_d(r, 0) != LTC_MP_GT || mp_cmp_d(s, 0) != LTC_MP_GT || mp_cmp(r, p) != LTC_MP_LT || mp_cmp(s, p) != LTC_MP_LT) { err = CRYPT_INVALID_PACKET; goto error; } /* read hash - truncate if needed */ pbits = mp_count_bits(p); pbytes = (pbits+7) >> 3; if (pbits > hashlen*8) { if ((err = mp_read_unsigned_bin(e, (unsigned char *)hash, hashlen)) != CRYPT_OK) { goto error; } } else if (pbits % 8 == 0) { if ((err = mp_read_unsigned_bin(e, (unsigned char *)hash, pbytes)) != CRYPT_OK) { goto error; } } else { shift_right = 8 - pbits % 8; for (i=0, ch=0; i> shift_right); } if ((err = mp_read_unsigned_bin(e, (unsigned char *)buf, pbytes)) != CRYPT_OK) { goto error; } } /* w = s^-1 mod n */ if ((err = mp_invmod(s, p, w)) != CRYPT_OK) { goto error; } /* u1 = ew */ if ((err = mp_mulmod(e, w, p, u1)) != CRYPT_OK) { goto error; } /* u2 = rw */ if ((err = mp_mulmod(r, w, p, u2)) != CRYPT_OK) { goto error; } /* find mG and mQ */ if ((err = ltc_ecc_copy_point(&key->dp.base, mG)) != CRYPT_OK) { goto error; } if ((err = ltc_ecc_copy_point(&key->pubkey, mQ)) != CRYPT_OK) { goto error; } /* find the montgomery mp */ if ((err = mp_montgomery_setup(m, &mp)) != CRYPT_OK) { goto error; } /* for curves with a == -3 keep ma == NULL */ if (mp_cmp(a_plus3, m) != LTC_MP_EQ) { if ((err = mp_init_multi(&mu, &ma, LTC_NULL)) != CRYPT_OK) { goto error; } if ((err = mp_montgomery_normalization(mu, m)) != CRYPT_OK) { goto error; } if ((err = mp_mulmod(a, mu, m, ma)) != CRYPT_OK) { goto error; } } /* compute u1*mG + u2*mQ = mG */ if (ltc_mp.ecc_mul2add == NULL) { if ((err = ltc_mp.ecc_ptmul(u1, mG, mG, a, m, 0)) != CRYPT_OK) { goto error; } if ((err = ltc_mp.ecc_ptmul(u2, mQ, mQ, a, m, 0)) != CRYPT_OK) { goto error; } /* add them */ if ((err = ltc_mp.ecc_ptadd(mQ, mG, mG, ma, m, mp)) != CRYPT_OK) { goto error; } /* reduce */ if ((err = ltc_mp.ecc_map(mG, m, mp)) != CRYPT_OK) { goto error; } } else { /* use Shamir's trick to compute u1*mG + u2*mQ using half of the doubles */ if ((err = ltc_mp.ecc_mul2add(mG, u1, mQ, u2, mG, ma, m)) != CRYPT_OK) { goto error; } } /* v = X_x1 mod n */ if ((err = mp_mod(mG->x, p, v)) != CRYPT_OK) { goto error; } /* does v == r */ if (mp_cmp(v, r) == LTC_MP_EQ) { *stat = 1; } /* clear up and return */ err = CRYPT_OK; error: if (mG != NULL) ltc_ecc_del_point(mG); if (mQ != NULL) ltc_ecc_del_point(mQ); if (mu != NULL) mp_clear(mu); if (ma != NULL) mp_clear(ma); mp_clear_multi(r, s, v, w, u1, u2, e, a_plus3, LTC_NULL); if (mp != NULL) mp_montgomery_free(mp); return err; } #endif