diff --git a/cipher/ecc-eddsa.c b/cipher/ecc-eddsa.c index 813e030d..89b708a0 100644 --- a/cipher/ecc-eddsa.c +++ b/cipher/ecc-eddsa.c @@ -1,861 +1,864 @@ /* ecc-eddsa.c - Elliptic Curve EdDSA signatures * Copyright (C) 2013, 2014 g10 Code GmbH * * This file is part of Libgcrypt. * * Libgcrypt is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as * published by the Free Software Foundation; either version 2.1 of * the License, or (at your option) any later version. * * Libgcrypt is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with this program; if not, see . */ #include #include #include #include #include #include "g10lib.h" #include "mpi.h" #include "cipher.h" #include "context.h" #include "ec-context.h" #include "ecc-common.h" static void reverse_buffer (unsigned char *buffer, unsigned int length) { unsigned int tmp, i; for (i=0; i < length/2; i++) { tmp = buffer[i]; buffer[i] = buffer[length-1-i]; buffer[length-1-i] = tmp; } } /* Helper to scan a hex string. */ static gcry_mpi_t scanval (const char *string) { gpg_err_code_t rc; gcry_mpi_t val; rc = _gcry_mpi_scan (&val, GCRYMPI_FMT_HEX, string, 0, NULL); if (rc) log_fatal ("scanning ECC parameter failed: %s\n", gpg_strerror (rc)); return val; } /* Encode MPI using the EdDSA scheme. MINLEN specifies the required length of the buffer in bytes. On success 0 is returned an a malloced buffer with the encoded point is stored at R_BUFFER; the length of this buffer is stored at R_BUFLEN. */ static gpg_err_code_t eddsa_encodempi (gcry_mpi_t mpi, unsigned int minlen, unsigned char **r_buffer, unsigned int *r_buflen) { unsigned char *rawmpi; unsigned int rawmpilen; rawmpi = _gcry_mpi_get_buffer (mpi, minlen, &rawmpilen, NULL); if (!rawmpi) return gpg_err_code_from_syserror (); *r_buffer = rawmpi; *r_buflen = rawmpilen; return 0; } /* Encode (X,Y) using the EdDSA scheme. MINLEN is the required length in bytes for the result. If WITH_PREFIX is set the returned buffer is prefixed with a 0x40 byte. On success 0 is returned and a malloced buffer with the encoded point is stored at R_BUFFER; the length of this buffer is stored at R_BUFLEN. */ static gpg_err_code_t eddsa_encode_x_y (gcry_mpi_t x, gcry_mpi_t y, unsigned int minlen, int with_prefix, unsigned char **r_buffer, unsigned int *r_buflen) { unsigned char *rawmpi; unsigned int rawmpilen; int off = with_prefix? 1:0; rawmpi = _gcry_mpi_get_buffer_extra (y, minlen, off?-1:0, &rawmpilen, NULL); if (!rawmpi) return gpg_err_code_from_syserror (); if (mpi_test_bit (x, 0) && rawmpilen) rawmpi[off + rawmpilen - 1] |= 0x80; /* Set sign bit. */ if (off) rawmpi[0] = 0x40; *r_buffer = rawmpi; *r_buflen = rawmpilen + off; return 0; } /* Encode POINT using the EdDSA scheme. X and Y are either scratch variables supplied by the caller or NULL. CTX is the usual context. If WITH_PREFIX is set the returned buffer is prefixed with a 0x40 byte. On success 0 is returned and a malloced buffer with the encoded point is stored at R_BUFFER; the length of this buffer is stored at R_BUFLEN. */ gpg_err_code_t _gcry_ecc_eddsa_encodepoint (mpi_point_t point, mpi_ec_t ec, gcry_mpi_t x_in, gcry_mpi_t y_in, int with_prefix, unsigned char **r_buffer, unsigned int *r_buflen) { gpg_err_code_t rc; gcry_mpi_t x, y; x = x_in? x_in : mpi_new (0); y = y_in? y_in : mpi_new (0); if (_gcry_mpi_ec_get_affine (x, y, point, ec)) { log_error ("eddsa_encodepoint: Failed to get affine coordinates\n"); rc = GPG_ERR_INTERNAL; } else rc = eddsa_encode_x_y (x, y, ec->nbits/8, with_prefix, r_buffer, r_buflen); if (!x_in) mpi_free (x); if (!y_in) mpi_free (y); return rc; } /* Make sure that the opaque MPI VALUE is in compact EdDSA format. This function updates MPI if needed. */ gpg_err_code_t _gcry_ecc_eddsa_ensure_compact (gcry_mpi_t value, unsigned int nbits) { gpg_err_code_t rc; const unsigned char *buf; unsigned int rawmpilen; gcry_mpi_t x, y; unsigned char *enc; unsigned int enclen; if (!mpi_is_opaque (value)) return GPG_ERR_INV_OBJ; buf = mpi_get_opaque (value, &rawmpilen); if (!buf) return GPG_ERR_INV_OBJ; rawmpilen = (rawmpilen + 7)/8; if (rawmpilen > 1 && (rawmpilen%2)) { if (buf[0] == 0x04) { /* Buffer is in SEC1 uncompressed format. Extract y and compress. */ rc = _gcry_mpi_scan (&x, GCRYMPI_FMT_STD, buf+1, (rawmpilen-1)/2, NULL); if (rc) return rc; rc = _gcry_mpi_scan (&y, GCRYMPI_FMT_STD, buf+1+(rawmpilen-1)/2, (rawmpilen-1)/2, NULL); if (rc) { mpi_free (x); return rc; } rc = eddsa_encode_x_y (x, y, nbits/8, 0, &enc, &enclen); mpi_free (x); mpi_free (y); if (rc) return rc; mpi_set_opaque (value, enc, 8*enclen); } else if (buf[0] == 0x40) { /* Buffer is compressed but with our SEC1 alike compression indicator. Remove that byte. FIXME: We should write and use a function to manipulate an opaque MPI in place. */ if (!_gcry_mpi_set_opaque_copy (value, buf + 1, (rawmpilen - 1)*8)) return gpg_err_code_from_syserror (); } } return 0; } /* Recover X from Y and SIGN (which actually is a parity bit). */ gpg_err_code_t _gcry_ecc_eddsa_recover_x (gcry_mpi_t x, gcry_mpi_t y, int sign, mpi_ec_t ec) { gpg_err_code_t rc = 0; gcry_mpi_t u, v, v3, t; static gcry_mpi_t p58, seven; if (ec->dialect != ECC_DIALECT_ED25519) return GPG_ERR_NOT_IMPLEMENTED; if (!p58) p58 = scanval ("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD"); if (!seven) seven = mpi_set_ui (NULL, 7); u = mpi_new (0); v = mpi_new (0); v3 = mpi_new (0); t = mpi_new (0); /* Compute u and v */ /* u = y^2 */ mpi_mulm (u, y, y, ec->p); /* v = b*y^2 */ mpi_mulm (v, ec->b, u, ec->p); /* u = y^2-1 */ mpi_sub_ui (u, u, 1); /* v = b*y^2+1 */ mpi_add_ui (v, v, 1); /* Compute sqrt(u/v) */ /* v3 = v^3 */ mpi_powm (v3, v, mpi_const (MPI_C_THREE), ec->p); /* t = v3 * v3 * u * v = u * v^7 */ mpi_powm (t, v, seven, ec->p); mpi_mulm (t, t, u, ec->p); /* t = t^((p-5)/8) = (u * v^7)^((p-5)/8) */ mpi_powm (t, t, p58, ec->p); /* x = t * u * v^3 = (u * v^3) * (u * v^7)^((p-5)/8) */ mpi_mulm (t, t, u, ec->p); mpi_mulm (x, t, v3, ec->p); /* Adjust if needed. */ /* t = v * x^2 */ mpi_mulm (t, x, x, ec->p); mpi_mulm (t, t, v, ec->p); /* -t == u ? x = x * sqrt(-1) */ mpi_sub (t, ec->p, t); if (!mpi_cmp (t, u)) { static gcry_mpi_t m1; /* Fixme: this is not thread-safe. */ if (!m1) m1 = scanval ("2B8324804FC1DF0B2B4D00993DFBD7A7" "2F431806AD2FE478C4EE1B274A0EA0B0"); mpi_mulm (x, x, m1, ec->p); /* t = v * x^2 */ mpi_mulm (t, x, x, ec->p); mpi_mulm (t, t, v, ec->p); /* -t == u ? x = x * sqrt(-1) */ mpi_sub (t, ec->p, t); if (!mpi_cmp (t, u)) rc = GPG_ERR_INV_OBJ; } /* Choose the desired square root according to parity */ if (mpi_test_bit (x, 0) != !!sign) mpi_sub (x, ec->p, x); mpi_free (t); mpi_free (v3); mpi_free (v); mpi_free (u); return rc; } /* Decode the EdDSA style encoded PK and set it into RESULT. CTX is the usual curve context. If R_ENCPK is not NULL, the encoded PK is stored at that address; this is a new copy to be released by the caller. In contrast to the supplied PK, this is not an MPI and thus guaranteed to be properly padded. R_ENCPKLEN receives the length of that encoded key. */ gpg_err_code_t _gcry_ecc_eddsa_decodepoint (gcry_mpi_t pk, mpi_ec_t ctx, mpi_point_t result, unsigned char **r_encpk, unsigned int *r_encpklen) { gpg_err_code_t rc; unsigned char *rawmpi; unsigned int rawmpilen; int sign; if (mpi_is_opaque (pk)) { const unsigned char *buf; buf = mpi_get_opaque (pk, &rawmpilen); if (!buf) return GPG_ERR_INV_OBJ; rawmpilen = (rawmpilen + 7)/8; /* Handle compression prefixes. The size of the buffer will be odd in this case. */ if (rawmpilen > 1 && (rawmpilen%2)) { /* First check whether the public key has been given in standard uncompressed format (SEC1). No need to recover x in this case. */ if (buf[0] == 0x04) { gcry_mpi_t x, y; rc = _gcry_mpi_scan (&x, GCRYMPI_FMT_STD, buf+1, (rawmpilen-1)/2, NULL); if (rc) return rc; rc = _gcry_mpi_scan (&y, GCRYMPI_FMT_STD, buf+1+(rawmpilen-1)/2, (rawmpilen-1)/2,NULL); if (rc) { mpi_free (x); return rc; } if (r_encpk) { rc = eddsa_encode_x_y (x, y, ctx->nbits/8, 0, r_encpk, r_encpklen); if (rc) { mpi_free (x); mpi_free (y); return rc; } } mpi_snatch (result->x, x); mpi_snatch (result->y, y); mpi_set_ui (result->z, 1); return 0; } /* Check whether the public key has been prefixed with a 0x40 byte to explicitly indicate compressed format using a SEC1 alike prefix byte. This is a Libgcrypt extension. */ if (buf[0] == 0x40) { rawmpilen--; buf++; } } /* EdDSA compressed point. */ rawmpi = xtrymalloc (rawmpilen? rawmpilen:1); if (!rawmpi) return gpg_err_code_from_syserror (); memcpy (rawmpi, buf, rawmpilen); reverse_buffer (rawmpi, rawmpilen); } else { /* Note: Without using an opaque MPI it is not reliable possible to find out whether the public key has been given in uncompressed format. Thus we expect native EdDSA format. */ rawmpi = _gcry_mpi_get_buffer (pk, ctx->nbits/8, &rawmpilen, NULL); if (!rawmpi) return gpg_err_code_from_syserror (); } if (rawmpilen) { sign = !!(rawmpi[0] & 0x80); rawmpi[0] &= 0x7f; } else sign = 0; _gcry_mpi_set_buffer (result->y, rawmpi, rawmpilen, 0); if (r_encpk) { /* Revert to little endian. */ if (sign && rawmpilen) rawmpi[0] |= 0x80; reverse_buffer (rawmpi, rawmpilen); *r_encpk = rawmpi; if (r_encpklen) *r_encpklen = rawmpilen; } else xfree (rawmpi); rc = _gcry_ecc_eddsa_recover_x (result->x, result->y, sign, ctx); mpi_set_ui (result->z, 1); return rc; } /* Compute the A value as used by EdDSA. The caller needs to provide the context EC and the actual secret D as an MPI. The function returns a newly allocated 64 byte buffer at r_digest; the first 32 bytes represent the A value. NULL is returned on error and NULL stored at R_DIGEST. */ gpg_err_code_t _gcry_ecc_eddsa_compute_h_d (unsigned char **r_digest, gcry_mpi_t d, mpi_ec_t ec) { gpg_err_code_t rc; unsigned char *rawmpi = NULL; unsigned int rawmpilen; unsigned char *digest; gcry_buffer_t hvec[2]; int hashalgo, b; *r_digest = NULL; hashalgo = GCRY_MD_SHA512; if (hashalgo != GCRY_MD_SHA512) return GPG_ERR_DIGEST_ALGO; b = (ec->nbits+7)/8; if (b != 256/8) return GPG_ERR_INTERNAL; /* We only support 256 bit. */ /* Note that we clear DIGEST so we can use it as input to left pad the key with zeroes for hashing. */ digest = xtrycalloc_secure (2, b); if (!digest) return gpg_err_code_from_syserror (); memset (hvec, 0, sizeof hvec); rawmpi = _gcry_mpi_get_buffer (d, 0, &rawmpilen, NULL); if (!rawmpi) { xfree (digest); return gpg_err_code_from_syserror (); } hvec[0].data = digest; hvec[0].off = 0; hvec[0].len = b > rawmpilen? b - rawmpilen : 0; hvec[1].data = rawmpi; hvec[1].off = 0; hvec[1].len = rawmpilen; rc = _gcry_md_hash_buffers (hashalgo, 0, digest, hvec, 2); xfree (rawmpi); if (rc) { xfree (digest); return rc; } /* Compute the A value. */ reverse_buffer (digest, 32); /* Only the first half of the hash. */ digest[0] = (digest[0] & 0x7f) | 0x40; digest[31] &= 0xf8; *r_digest = digest; return 0; } /** * _gcry_ecc_eddsa_genkey - EdDSA version of the key generation. * * @sk: A struct to receive the secret key. * @E: Parameters of the curve. * @ctx: Elliptic curve computation context. * @flags: Flags controlling aspects of the creation. * * Return: An error code. * * The only @flags bit used by this function is %PUBKEY_FLAG_TRANSIENT * to use a faster RNG. */ gpg_err_code_t _gcry_ecc_eddsa_genkey (ECC_secret_key *sk, elliptic_curve_t *E, mpi_ec_t ctx, int flags) { gpg_err_code_t rc; int b = 256/8; /* The only size we currently support. */ gcry_mpi_t a, x, y; mpi_point_struct Q; gcry_random_level_t random_level; char *dbuf; size_t dlen; gcry_buffer_t hvec[1]; unsigned char *hash_d = NULL; point_init (&Q); memset (hvec, 0, sizeof hvec); if ((flags & PUBKEY_FLAG_TRANSIENT_KEY)) random_level = GCRY_STRONG_RANDOM; else random_level = GCRY_VERY_STRONG_RANDOM; a = mpi_snew (0); x = mpi_new (0); y = mpi_new (0); /* Generate a secret. */ hash_d = xtrymalloc_secure (2*b); if (!hash_d) { rc = gpg_err_code_from_syserror (); goto leave; } dlen = b; dbuf = _gcry_random_bytes_secure (dlen, random_level); /* Compute the A value. */ hvec[0].data = dbuf; hvec[0].len = dlen; rc = _gcry_md_hash_buffers (GCRY_MD_SHA512, 0, hash_d, hvec, 1); if (rc) goto leave; sk->d = _gcry_mpi_set_opaque (NULL, dbuf, dlen*8); dbuf = NULL; reverse_buffer (hash_d, 32); /* Only the first half of the hash. */ hash_d[0] = (hash_d[0] & 0x7f) | 0x40; hash_d[31] &= 0xf8; _gcry_mpi_set_buffer (a, hash_d, 32, 0); xfree (hash_d); hash_d = NULL; /* log_printmpi ("ecgen a", a); */ /* Compute Q. */ _gcry_mpi_ec_mul_point (&Q, a, &E->G, ctx); if (DBG_CIPHER) log_printpnt ("ecgen pk", &Q, ctx); /* Copy the stuff to the key structures. */ sk->E.model = E->model; sk->E.dialect = E->dialect; sk->E.p = mpi_copy (E->p); sk->E.a = mpi_copy (E->a); sk->E.b = mpi_copy (E->b); point_init (&sk->E.G); point_set (&sk->E.G, &E->G); sk->E.n = mpi_copy (E->n); sk->E.h = mpi_copy (E->h); point_init (&sk->Q); point_set (&sk->Q, &Q); leave: point_free (&Q); _gcry_mpi_release (a); _gcry_mpi_release (x); _gcry_mpi_release (y); xfree (hash_d); return rc; } /* Compute an EdDSA signature. See: * [ed25519] 23pp. (PDF) Daniel J. Bernstein, Niels Duif, Tanja * Lange, Peter Schwabe, Bo-Yin Yang. High-speed high-security * signatures. Journal of Cryptographic Engineering 2 (2012), 77-89. * Document ID: a1a62a2f76d23f65d622484ddd09caf8. * URL: http://cr.yp.to/papers.html#ed25519. Date: 2011.09.26. * * Despite that this function requires the specification of a hash * algorithm, we only support what has been specified by the paper. * This may change in the future. Note that we don't check the used * curve; the user is responsible to use Ed25519. * * Return the signature struct (r,s) from the message hash. The caller * must have allocated R_R and S. */ gpg_err_code_t _gcry_ecc_eddsa_sign (gcry_mpi_t input, ECC_secret_key *skey, gcry_mpi_t r_r, gcry_mpi_t s, int hashalgo, gcry_mpi_t pk) { int rc; mpi_ec_t ctx = NULL; int b; unsigned int tmp; unsigned char *digest = NULL; gcry_buffer_t hvec[3]; const void *mbuf; size_t mlen; unsigned char *rawmpi = NULL; unsigned int rawmpilen; unsigned char *encpk = NULL; /* Encoded public key. */ unsigned int encpklen; mpi_point_struct I; /* Intermediate value. */ mpi_point_struct Q; /* Public key. */ gcry_mpi_t a, x, y, r; memset (hvec, 0, sizeof hvec); if (!mpi_is_opaque (input)) return GPG_ERR_INV_DATA; /* Initialize some helpers. */ point_init (&I); point_init (&Q); a = mpi_snew (0); x = mpi_new (0); y = mpi_new (0); r = mpi_snew (0); ctx = _gcry_mpi_ec_p_internal_new (skey->E.model, skey->E.dialect, 0, skey->E.p, skey->E.a, skey->E.b); b = (ctx->nbits+7)/8; if (b != 256/8) { rc = GPG_ERR_INTERNAL; /* We only support 256 bit. */ goto leave; } rc = _gcry_ecc_eddsa_compute_h_d (&digest, skey->d, ctx); if (rc) goto leave; _gcry_mpi_set_buffer (a, digest, 32, 0); /* Compute the public key if it has not been supplied as optional parameter. */ if (pk) { rc = _gcry_ecc_eddsa_decodepoint (pk, ctx, &Q, &encpk, &encpklen); if (rc) goto leave; if (DBG_CIPHER) log_printhex ("* e_pk", encpk, encpklen); if (!_gcry_mpi_ec_curve_point (&Q, ctx)) { rc = GPG_ERR_BROKEN_PUBKEY; goto leave; } } else { _gcry_mpi_ec_mul_point (&Q, a, &skey->E.G, ctx); rc = _gcry_ecc_eddsa_encodepoint (&Q, ctx, x, y, 0, &encpk, &encpklen); if (rc) goto leave; if (DBG_CIPHER) log_printhex (" e_pk", encpk, encpklen); } /* Compute R. */ mbuf = mpi_get_opaque (input, &tmp); mlen = (tmp +7)/8; if (DBG_CIPHER) log_printhex (" m", mbuf, mlen); hvec[0].data = digest; hvec[0].off = 32; hvec[0].len = 32; hvec[1].data = (char*)mbuf; hvec[1].len = mlen; rc = _gcry_md_hash_buffers (hashalgo, 0, digest, hvec, 2); if (rc) goto leave; reverse_buffer (digest, 64); if (DBG_CIPHER) log_printhex (" r", digest, 64); _gcry_mpi_set_buffer (r, digest, 64, 0); _gcry_mpi_ec_mul_point (&I, r, &skey->E.G, ctx); if (DBG_CIPHER) log_printpnt (" r", &I, ctx); /* Convert R into affine coordinates and apply encoding. */ rc = _gcry_ecc_eddsa_encodepoint (&I, ctx, x, y, 0, &rawmpi, &rawmpilen); if (rc) goto leave; if (DBG_CIPHER) log_printhex (" e_r", rawmpi, rawmpilen); /* S = r + a * H(encodepoint(R) + encodepoint(pk) + m) mod n */ hvec[0].data = rawmpi; /* (this is R) */ hvec[0].off = 0; hvec[0].len = rawmpilen; hvec[1].data = encpk; hvec[1].off = 0; hvec[1].len = encpklen; hvec[2].data = (char*)mbuf; hvec[2].off = 0; hvec[2].len = mlen; rc = _gcry_md_hash_buffers (hashalgo, 0, digest, hvec, 3); if (rc) goto leave; /* No more need for RAWMPI thus we now transfer it to R_R. */ mpi_set_opaque (r_r, rawmpi, rawmpilen*8); rawmpi = NULL; reverse_buffer (digest, 64); if (DBG_CIPHER) log_printhex (" H(R+)", digest, 64); _gcry_mpi_set_buffer (s, digest, 64, 0); mpi_mulm (s, s, a, skey->E.n); mpi_addm (s, s, r, skey->E.n); rc = eddsa_encodempi (s, b, &rawmpi, &rawmpilen); if (rc) goto leave; if (DBG_CIPHER) log_printhex (" e_s", rawmpi, rawmpilen); mpi_set_opaque (s, rawmpi, rawmpilen*8); rawmpi = NULL; rc = 0; leave: _gcry_mpi_release (a); _gcry_mpi_release (x); _gcry_mpi_release (y); _gcry_mpi_release (r); xfree (digest); _gcry_mpi_ec_free (ctx); point_free (&I); point_free (&Q); xfree (encpk); xfree (rawmpi); return rc; } /* Verify an EdDSA signature. See sign_eddsa for the reference. * Check if R_IN and S_IN verifies INPUT. PKEY has the curve * parameters and PK is the EdDSA style encoded public key. */ gpg_err_code_t _gcry_ecc_eddsa_verify (gcry_mpi_t input, ECC_public_key *pkey, gcry_mpi_t r_in, gcry_mpi_t s_in, int hashalgo, gcry_mpi_t pk) { int rc; mpi_ec_t ctx = NULL; int b; unsigned int tmp; mpi_point_struct Q; /* Public key. */ unsigned char *encpk = NULL; /* Encoded public key. */ unsigned int encpklen; const void *mbuf, *rbuf; unsigned char *tbuf = NULL; size_t mlen, rlen; unsigned int tlen; unsigned char digest[64]; gcry_buffer_t hvec[3]; gcry_mpi_t h, s; mpi_point_struct Ia, Ib; if (!mpi_is_opaque (input) || !mpi_is_opaque (r_in) || !mpi_is_opaque (s_in)) return GPG_ERR_INV_DATA; if (hashalgo != GCRY_MD_SHA512) return GPG_ERR_DIGEST_ALGO; point_init (&Q); point_init (&Ia); point_init (&Ib); h = mpi_new (0); s = mpi_new (0); ctx = _gcry_mpi_ec_p_internal_new (pkey->E.model, pkey->E.dialect, 0, pkey->E.p, pkey->E.a, pkey->E.b); b = ctx->nbits/8; if (b != 256/8) - return GPG_ERR_INTERNAL; /* We only support 256 bit. */ + { + rc = GPG_ERR_INTERNAL; /* We only support 256 bit. */ + goto leave; + } /* Decode and check the public key. */ rc = _gcry_ecc_eddsa_decodepoint (pk, ctx, &Q, &encpk, &encpklen); if (rc) goto leave; if (!_gcry_mpi_ec_curve_point (&Q, ctx)) { rc = GPG_ERR_BROKEN_PUBKEY; goto leave; } if (DBG_CIPHER) log_printhex (" e_pk", encpk, encpklen); if (encpklen != b) { rc = GPG_ERR_INV_LENGTH; goto leave; } /* Convert the other input parameters. */ mbuf = mpi_get_opaque (input, &tmp); mlen = (tmp +7)/8; if (DBG_CIPHER) log_printhex (" m", mbuf, mlen); rbuf = mpi_get_opaque (r_in, &tmp); rlen = (tmp +7)/8; if (DBG_CIPHER) log_printhex (" r", rbuf, rlen); if (rlen != b) { rc = GPG_ERR_INV_LENGTH; goto leave; } /* h = H(encodepoint(R) + encodepoint(pk) + m) */ hvec[0].data = (char*)rbuf; hvec[0].off = 0; hvec[0].len = rlen; hvec[1].data = encpk; hvec[1].off = 0; hvec[1].len = encpklen; hvec[2].data = (char*)mbuf; hvec[2].off = 0; hvec[2].len = mlen; rc = _gcry_md_hash_buffers (hashalgo, 0, digest, hvec, 3); if (rc) goto leave; reverse_buffer (digest, 64); if (DBG_CIPHER) log_printhex (" H(R+)", digest, 64); _gcry_mpi_set_buffer (h, digest, 64, 0); /* According to the paper the best way for verification is: encodepoint(sG - h·Q) = encodepoint(r) because we don't need to decode R. */ { void *sbuf; unsigned int slen; sbuf = _gcry_mpi_get_opaque_copy (s_in, &tmp); slen = (tmp +7)/8; reverse_buffer (sbuf, slen); if (DBG_CIPHER) log_printhex (" s", sbuf, slen); _gcry_mpi_set_buffer (s, sbuf, slen, 0); xfree (sbuf); if (slen != b) { rc = GPG_ERR_INV_LENGTH; goto leave; } } _gcry_mpi_ec_mul_point (&Ia, s, &pkey->E.G, ctx); _gcry_mpi_ec_mul_point (&Ib, h, &Q, ctx); _gcry_mpi_sub (Ib.x, ctx->p, Ib.x); _gcry_mpi_ec_add_points (&Ia, &Ia, &Ib, ctx); rc = _gcry_ecc_eddsa_encodepoint (&Ia, ctx, s, h, 0, &tbuf, &tlen); if (rc) goto leave; if (tlen != rlen || memcmp (tbuf, rbuf, tlen)) { rc = GPG_ERR_BAD_SIGNATURE; goto leave; } rc = 0; leave: xfree (encpk); xfree (tbuf); _gcry_mpi_ec_free (ctx); _gcry_mpi_release (s); _gcry_mpi_release (h); point_free (&Ia); point_free (&Ib); point_free (&Q); return rc; }