/* Return an MPI (or opaque MPI) described by NAME and the context EC.
If COPY is true a copy is returned, if not a const MPI may be
returned. In any case mpi_free must be used. */
gcry_mpi_t
_gcry_ecc_get_mpi (const char *name, mpi_ec_t ec, int copy)
{
if (!*name)
return NULL;
if (!strcmp (name, "p") && ec->p)
return mpi_is_const (ec->p) && !copy? ec->p : mpi_copy (ec->p);
if (!strcmp (name, "a") && ec->a)
return mpi_is_const (ec->a) && !copy? ec->a : mpi_copy (ec->a);
if (!strcmp (name, "b") && ec->b)
return mpi_is_const (ec->b) && !copy? ec->b : mpi_copy (ec->b);
if (!strcmp (name, "n") && ec->n)
return mpi_is_const (ec->n) && !copy? ec->n : mpi_copy (ec->n);
if (!strcmp (name, "d") && ec->d)
return mpi_is_const (ec->d) && !copy? ec->d : mpi_copy (ec->d);
/* Return a requested point coordinate. */
if (!strcmp (name, "g.x") && ec->G && ec->G->x)
return mpi_is_const (ec->G->x) && !copy? ec->G->x : mpi_copy (ec->G->x);
if (!strcmp (name, "g.y") && ec->G && ec->G->y)
return mpi_is_const (ec->G->y) && !copy? ec->G->y : mpi_copy (ec->G->y);
if (!strcmp (name, "q.x") && ec->Q && ec->Q->x)
return mpi_is_const (ec->Q->x) && !copy? ec->Q->x : mpi_copy (ec->Q->x);
if (!strcmp (name, "q.y") && ec->Q && ec->Q->y)
return mpi_is_const (ec->G->y) && !copy? ec->Q->y : mpi_copy (ec->Q->y);
/* If the base point has been requested, return it in standard
encoding. */
if (!strcmp (name, "g") && ec->G)
return _gcry_mpi_ec_ec2os (ec->G, ec);
/* If the public key has been requested, return it by default in
standard uncompressed encoding or if requested in other
encodings. */
if (*name == 'q' && (!name[1] || name[1] == '@'))
{
/* If only the private key is given, compute the public key. */
if (!ec->Q)
ec->Q = _gcry_ecc_compute_public (NULL, ec, NULL, NULL);
if (!ec->Q)
return NULL;
if (name[1] != '@')
return _gcry_mpi_ec_ec2os (ec->Q, ec);
if (!strcmp (name+2, "eddsa") && ec->model == MPI_EC_TWISTEDEDWARDS)
{
unsigned char *encpk;
unsigned int encpklen;
if (!_gcry_ecc_eddsa_encodepoint (ec->Q, ec, NULL, NULL,
&encpk, &encpklen))
return mpi_set_opaque (NULL, encpk, encpklen*8);
}
}
return NULL;
}
/* 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. */
/* 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_neg (Ib.x, 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;
}
/* 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;
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_new (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)
return GPG_ERR_INTERNAL; /* We only support 256 bit. */
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;
}
