int verifyRingSignatureAB(data_chunk &keyImage, uint256 &txnHash, int nRingSize, const uint8_t *pPubkeys, const data_chunk &sigC, const uint8_t *pSigS)
{
// https://bitcointalk.org/index.php?topic=972541.msg10619684
// forall_{i=1..n} compute e_i=s_i*G+c_i*P_i and E_i=s_i*H(P_i)+c_i*I_j and c_{i+1}=h(P_1,...,P_n,e_i,E_i)
// check c_{n+1}=c_1
if (fDebugRingSig)
{
//LogPrintf("%s size %d\n", __func__, nRingSize); // happens often
};
if (sigC.size() != EC_SECRET_SIZE)
return errorN(1, "%s: sigC size != EC_SECRET_SIZE.", __func__);
if (keyImage.size() != EC_COMPRESSED_SIZE)
return errorN(1, "%s: keyImage size != EC_COMPRESSED_SIZE.", __func__);
int rv = 0;
uint256 tmpPkHash;
uint256 tmpHash;
uint8_t tempData[66]; // hold raw point data to hash
CHashWriter ssPkHash(SER_GETHASH, PROTOCOL_VERSION);
CHashWriter ssCjHash(SER_GETHASH, PROTOCOL_VERSION);
for (int i = 0; i < nRingSize; ++i)
{
ssPkHash.write((const char*)&pPubkeys[i * EC_COMPRESSED_SIZE], EC_COMPRESSED_SIZE);
};
tmpPkHash = ssPkHash.GetHash();
BN_CTX_start(bnCtx);
BIGNUM *bnC = BN_CTX_get(bnCtx);
BIGNUM *bnC1 = BN_CTX_get(bnCtx);
BIGNUM *bnT = BN_CTX_get(bnCtx);
BIGNUM *bnS = BN_CTX_get(bnCtx);
EC_POINT *ptKi = NULL;
EC_POINT *ptT1 = NULL;
EC_POINT *ptT2 = NULL;
EC_POINT *ptT3 = NULL;
EC_POINT *ptPk = NULL;
EC_POINT *ptSi = NULL;
if ( !(ptKi = EC_POINT_new(ecGrp))
|| !(ptT1 = EC_POINT_new(ecGrp))
|| !(ptT2 = EC_POINT_new(ecGrp))
|| !(ptT3 = EC_POINT_new(ecGrp))
|| !(ptPk = EC_POINT_new(ecGrp))
|| !(ptSi = EC_POINT_new(ecGrp)))
{
LogPrintf("%s: EC_POINT_new failed.\n", __func__);
rv = 1; goto End;
};
// get keyimage as point
if (!EC_POINT_oct2point(ecGrp, ptKi, &keyImage[0], EC_COMPRESSED_SIZE, bnCtx))
{
LogPrintf("%s: extract ptKi failed.\n", __func__);
rv = 1; goto End;
};
if (!bnC1 || !BN_bin2bn(&sigC[0], EC_SECRET_SIZE, bnC1))
{
LogPrintf("%s: BN_bin2bn failed.\n", __func__);
rv = 1; goto End;
};
if (!BN_copy(bnC, bnC1))
{
LogPrintf("%s: BN_copy failed.\n", __func__);
rv = 1; goto End;
};
for (int i = 0; i < nRingSize; ++i)
{
if (!bnS || !(BN_bin2bn(&pSigS[i * EC_SECRET_SIZE], EC_SECRET_SIZE, bnS)))
{
LogPrintf("%s: BN_bin2bn failed.\n", __func__);
rv = 1; goto End;
};
// ptT2 <- pk
if (!EC_POINT_oct2point(ecGrp, ptPk, &pPubkeys[i * EC_COMPRESSED_SIZE], EC_COMPRESSED_SIZE, bnCtx))
{
LogPrintf("%s: EC_POINT_oct2point failed.\n", __func__);
rv = 1; goto End;
};
// ptT1 = e_i=s_i*G+c_i*P_i
if (!EC_POINT_mul(ecGrp, ptT1, bnS, ptPk, bnC, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
if (!(EC_POINT_point2oct(ecGrp, ptT1, POINT_CONVERSION_COMPRESSED, &tempData[0], 33, bnCtx) == (int) EC_COMPRESSED_SIZE))
{
LogPrintf("%s: extract ptT1 failed.\n", __func__);
rv = 1; goto End;
};
// ptT2 =E_i=s_i*H(P_i)+c_i*I_j
// ptT2 =H(P_i)
if (hashToEC(&pPubkeys[i * EC_COMPRESSED_SIZE], EC_COMPRESSED_SIZE, bnT, ptT2) != 0)
{
LogPrintf("%s: hashToEC failed.\n", __func__);
rv = 1; goto End;
};
// DEBUGGING: ------- check if we can find the signer...
// ptSi = Pi * bnT
if ((!EC_POINT_mul(ecGrp, ptSi, NULL, ptPk, bnT, bnCtx)
|| false)
&& (rv = errorN(1, "%s: EC_POINT_mul failed.", __func__)))
goto End;
if (0 == EC_POINT_cmp(ecGrp, ptSi, ptKi, bnCtx) )
LogPrintf("signer is index %d\n", i);
// DEBUGGING: - End - check if we can find the signer...
// ptT3 = s_i*ptT2
if (!EC_POINT_mul(ecGrp, ptT3, NULL, ptT2, bnS, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptT1 = c_i*I_j
if (!EC_POINT_mul(ecGrp, ptT1, NULL, ptKi, bnC, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptT2 = ptT3 + ptT1
if (!EC_POINT_add(ecGrp, ptT2, ptT3, ptT1, bnCtx))
{
LogPrintf("%s: EC_POINT_add failed.\n", __func__);
rv = 1; goto End;
};
if (!(EC_POINT_point2oct(ecGrp, ptT2, POINT_CONVERSION_COMPRESSED, &tempData[33], 33, bnCtx) == (int) EC_COMPRESSED_SIZE))
{
LogPrintf("%s: extract ptT2 failed.\n", __func__);
rv = 1; goto End;
};
CHashWriter ssCHash(SER_GETHASH, PROTOCOL_VERSION);
ssCHash.write((const char*)tmpPkHash.begin(), 32);
ssCHash.write((const char*)&tempData[0], 66);
tmpHash = ssCHash.GetHash();
if (!bnC || !(BN_bin2bn(tmpHash.begin(), EC_SECRET_SIZE, bnC))
|| !BN_mod(bnC, bnC, bnOrder, bnCtx))
{
LogPrintf("%s: tmpHash -> bnC failed.\n", __func__);
rv = 1; goto End;
};
};
// bnT = (bnC - bnC1) % N
if (!BN_mod_sub(bnT, bnC, bnC1, bnOrder, bnCtx))
{
LogPrintf("%s: BN_mod_sub failed.\n", __func__);
rv = 1; goto End;
};
// test bnT == 0 (bnC == bnC1)
if (!BN_is_zero(bnT))
{
LogPrintf("%s: signature does not verify.\n", __func__);
rv = 2;
};
End:
BN_CTX_end(bnCtx);
EC_POINT_free(ptKi);
EC_POINT_free(ptT1);
EC_POINT_free(ptT2);
EC_POINT_free(ptT3);
EC_POINT_free(ptPk);
EC_POINT_free(ptSi);
return rv;
};
/*
* compute a "random" secret point on an elliptic curve based
* on the password and identities.
*/
int compute_password_element(EAP_PWD_group *grp, u16 num,
const u8 *password, size_t password_len,
const u8 *id_server, size_t id_server_len,
const u8 *id_peer, size_t id_peer_len,
const u8 *token)
{
BIGNUM *x_candidate = NULL, *rnd = NULL, *cofactor = NULL;
struct crypto_hash *hash;
unsigned char pwe_digest[SHA256_MAC_LEN], *prfbuf = NULL, ctr;
int nid, is_odd, ret = 0;
size_t primebytelen, primebitlen;
switch (num) { /* from IANA registry for IKE D-H groups */
case 19:
nid = NID_X9_62_prime256v1;
break;
case 20:
nid = NID_secp384r1;
break;
case 21:
nid = NID_secp521r1;
break;
#ifndef OPENSSL_IS_BORINGSSL
case 25:
nid = NID_X9_62_prime192v1;
break;
#endif /* OPENSSL_IS_BORINGSSL */
case 26:
nid = NID_secp224r1;
break;
default:
wpa_printf(MSG_INFO, "EAP-pwd: unsupported group %d", num);
return -1;
}
grp->pwe = NULL;
grp->order = NULL;
grp->prime = NULL;
if ((grp->group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
wpa_printf(MSG_INFO, "EAP-pwd: unable to create EC_GROUP");
goto fail;
}
if (((rnd = BN_new()) == NULL) ||
((cofactor = BN_new()) == NULL) ||
((grp->pwe = EC_POINT_new(grp->group)) == NULL) ||
((grp->order = BN_new()) == NULL) ||
((grp->prime = BN_new()) == NULL) ||
((x_candidate = BN_new()) == NULL)) {
wpa_printf(MSG_INFO, "EAP-pwd: unable to create bignums");
goto fail;
}
if (!EC_GROUP_get_curve_GFp(grp->group, grp->prime, NULL, NULL, NULL))
{
wpa_printf(MSG_INFO, "EAP-pwd: unable to get prime for GFp "
"curve");
goto fail;
}
if (!EC_GROUP_get_order(grp->group, grp->order, NULL)) {
wpa_printf(MSG_INFO, "EAP-pwd: unable to get order for curve");
goto fail;
}
if (!EC_GROUP_get_cofactor(grp->group, cofactor, NULL)) {
wpa_printf(MSG_INFO, "EAP-pwd: unable to get cofactor for "
"curve");
goto fail;
}
primebitlen = BN_num_bits(grp->prime);
primebytelen = BN_num_bytes(grp->prime);
if ((prfbuf = os_malloc(primebytelen)) == NULL) {
wpa_printf(MSG_INFO, "EAP-pwd: unable to malloc space for prf "
"buffer");
goto fail;
}
os_memset(prfbuf, 0, primebytelen);
ctr = 0;
while (1) {
if (ctr > 30) {
wpa_printf(MSG_INFO, "EAP-pwd: unable to find random "
"point on curve for group %d, something's "
"fishy", num);
goto fail;
}
ctr++;
/*
* compute counter-mode password value and stretch to prime
* pwd-seed = H(token | peer-id | server-id | password |
* counter)
*/
hash = eap_pwd_h_init();
if (hash == NULL)
goto fail;
eap_pwd_h_update(hash, token, sizeof(u32));
eap_pwd_h_update(hash, id_peer, id_peer_len);
eap_pwd_h_update(hash, id_server, id_server_len);
eap_pwd_h_update(hash, password, password_len);
eap_pwd_h_update(hash, &ctr, sizeof(ctr));
eap_pwd_h_final(hash, pwe_digest);
BN_bin2bn(pwe_digest, SHA256_MAC_LEN, rnd);
if (eap_pwd_kdf(pwe_digest, SHA256_MAC_LEN,
(u8 *) "EAP-pwd Hunting And Pecking",
os_strlen("EAP-pwd Hunting And Pecking"),
prfbuf, primebitlen) < 0)
goto fail;
BN_bin2bn(prfbuf, primebytelen, x_candidate);
/*
* eap_pwd_kdf() returns a string of bits 0..primebitlen but
* BN_bin2bn will treat that string of bits as a big endian
* number. If the primebitlen is not an even multiple of 8
* then excessive bits-- those _after_ primebitlen-- so now
* we have to shift right the amount we masked off.
*/
if (primebitlen % 8)
BN_rshift(x_candidate, x_candidate,
(8 - (primebitlen % 8)));
if (BN_ucmp(x_candidate, grp->prime) >= 0)
continue;
wpa_hexdump(MSG_DEBUG, "EAP-pwd: x_candidate",
prfbuf, primebytelen);
/*
* need to unambiguously identify the solution, if there is
* one...
*/
if (BN_is_odd(rnd))
is_odd = 1;
else
is_odd = 0;
/*
* solve the quadratic equation, if it's not solvable then we
* don't have a point
*/
if (!EC_POINT_set_compressed_coordinates_GFp(grp->group,
grp->pwe,
x_candidate,
is_odd, NULL))
continue;
/*
* If there's a solution to the equation then the point must be
* on the curve so why check again explicitly? OpenSSL code
* says this is required by X9.62. We're not X9.62 but it can't
* hurt just to be sure.
*/
if (!EC_POINT_is_on_curve(grp->group, grp->pwe, NULL)) {
wpa_printf(MSG_INFO, "EAP-pwd: point is not on curve");
continue;
}
if (BN_cmp(cofactor, BN_value_one())) {
/* make sure the point is not in a small sub-group */
if (!EC_POINT_mul(grp->group, grp->pwe, NULL, grp->pwe,
cofactor, NULL)) {
wpa_printf(MSG_INFO, "EAP-pwd: cannot "
"multiply generator by order");
continue;
}
if (EC_POINT_is_at_infinity(grp->group, grp->pwe)) {
wpa_printf(MSG_INFO, "EAP-pwd: point is at "
"infinity");
continue;
}
}
/* if we got here then we have a new generator. */
break;
}
wpa_printf(MSG_DEBUG, "EAP-pwd: found a PWE in %d tries", ctr);
grp->group_num = num;
if (0) {
fail:
EC_GROUP_free(grp->group);
grp->group = NULL;
EC_POINT_clear_free(grp->pwe);
grp->pwe = NULL;
BN_clear_free(grp->order);
grp->order = NULL;
BN_clear_free(grp->prime);
grp->prime = NULL;
ret = 1;
}
/* cleanliness and order.... */
BN_clear_free(cofactor);
BN_clear_free(x_candidate);
BN_clear_free(rnd);
os_free(prfbuf);
return ret;
}
int StealthSecret(ec_secret& secret, ec_point& pubkey, const ec_point& pkSpend, ec_secret& sharedSOut, ec_point& pkOut)
{
/*
send:
secret = ephem_secret, pubkey = scan_pubkey
receive:
secret = scan_secret, pubkey = ephem_pubkey
c = H(dP)
Q = public scan key (EC point, 33 bytes)
d = private scan key (integer, 32 bytes)
R = public spend key
f = private spend key
Q = dG
R = fG
Sender (has Q and R, not d or f):
P = eG
c = H(eQ) = H(dP)
R' = R + cG
Recipient gets R' and P
test 0 and infinity?
*/
int rv = 0;
std::vector<uint8_t> vchOutQ;
BN_CTX* bnCtx = NULL;
BIGNUM* bnEphem = NULL;
BIGNUM* bnQ = NULL;
EC_POINT* Q = NULL;
BIGNUM* bnOutQ = NULL;
BIGNUM* bnc = NULL;
EC_POINT* C = NULL;
BIGNUM* bnR = NULL;
EC_POINT* R = NULL;
EC_POINT* Rout = NULL;
BIGNUM* bnOutR = NULL;
EC_GROUP* ecgrp = EC_GROUP_new_by_curve_name(NID_secp256k1);
if (!ecgrp)
{
printf("StealthSecret(): EC_GROUP_new_by_curve_name failed.\n");
return 1;
};
if (!(bnCtx = BN_CTX_new()))
{
printf("StealthSecret(): BN_CTX_new failed.\n");
rv = 1;
goto End;
};
if (!(bnEphem = BN_bin2bn(&secret.e[0], ec_secret_size, BN_new())))
{
printf("StealthSecret(): bnEphem BN_bin2bn failed.\n");
rv = 1;
goto End;
};
if (!(bnQ = BN_bin2bn(&pubkey[0], pubkey.size(), BN_new())))
{
printf("StealthSecret(): bnQ BN_bin2bn failed\n");
rv = 1;
goto End;
};
if (!(Q = EC_POINT_bn2point(ecgrp, bnQ, NULL, bnCtx)))
{
printf("StealthSecret(): Q EC_POINT_bn2point failed\n");
rv = 1;
goto End;
};
// -- eQ
// EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
// EC_POINT_mul calculates the value generator * n + q * m and stores the result in r. The value n may be NULL in which case the result is just q * m.
if (!EC_POINT_mul(ecgrp, Q, NULL, Q, bnEphem, bnCtx))
{
printf("StealthSecret(): eQ EC_POINT_mul failed\n");
rv = 1;
goto End;
};
if (!(bnOutQ = EC_POINT_point2bn(ecgrp, Q, POINT_CONVERSION_COMPRESSED, BN_new(), bnCtx)))
{
printf("StealthSecret(): Q EC_POINT_bn2point failed\n");
rv = 1;
goto End;
};
vchOutQ.resize(ec_compressed_size);
if (BN_num_bytes(bnOutQ) != (int) ec_compressed_size
|| BN_bn2bin(bnOutQ, &vchOutQ[0]) != (int) ec_compressed_size)
{
printf("StealthSecret(): bnOutQ incorrect length.\n");
rv = 1;
goto End;
};
SHA256(&vchOutQ[0], vchOutQ.size(), &sharedSOut.e[0]);
if (!(bnc = BN_bin2bn(&sharedSOut.e[0], ec_secret_size, BN_new())))
{
printf("StealthSecret(): BN_bin2bn failed\n");
rv = 1;
goto End;
};
// -- cG
if (!(C = EC_POINT_new(ecgrp)))
{
printf("StealthSecret(): C EC_POINT_new failed\n");
rv = 1;
goto End;
};
if (!EC_POINT_mul(ecgrp, C, bnc, NULL, NULL, bnCtx))
{
printf("StealthSecret(): C EC_POINT_mul failed\n");
rv = 1;
goto End;
};
if (!(bnR = BN_bin2bn(&pkSpend[0], pkSpend.size(), BN_new())))
{
printf("StealthSecret(): bnR BN_bin2bn failed\n");
rv = 1;
goto End;
};
if (!(R = EC_POINT_bn2point(ecgrp, bnR, NULL, bnCtx)))
{
printf("StealthSecret(): R EC_POINT_bn2point failed\n");
rv = 1;
goto End;
};
if (!EC_POINT_mul(ecgrp, C, bnc, NULL, NULL, bnCtx))
{
printf("StealthSecret(): C EC_POINT_mul failed\n");
rv = 1;
goto End;
};
if (!(Rout = EC_POINT_new(ecgrp)))
{
printf("StealthSecret(): Rout EC_POINT_new failed\n");
rv = 1;
goto End;
};
if (!EC_POINT_add(ecgrp, Rout, R, C, bnCtx))
{
printf("StealthSecret(): Rout EC_POINT_add failed\n");
rv = 1;
goto End;
};
if (!(bnOutR = EC_POINT_point2bn(ecgrp, Rout, POINT_CONVERSION_COMPRESSED, BN_new(), bnCtx)))
{
printf("StealthSecret(): Rout EC_POINT_bn2point failed\n");
rv = 1;
goto End;
};
pkOut.resize(ec_compressed_size);
if (BN_num_bytes(bnOutR) != (int) ec_compressed_size
|| BN_bn2bin(bnOutR, &pkOut[0]) != (int) ec_compressed_size)
{
printf("StealthSecret(): pkOut incorrect length.\n");
rv = 1;
goto End;
};
End:
if (bnOutR) BN_free(bnOutR);
if (Rout) EC_POINT_free(Rout);
if (R) EC_POINT_free(R);
if (bnR) BN_free(bnR);
if (C) EC_POINT_free(C);
if (bnc) BN_free(bnc);
if (bnOutQ) BN_free(bnOutQ);
if (Q) EC_POINT_free(Q);
if (bnQ) BN_free(bnQ);
if (bnEphem) BN_free(bnEphem);
if (bnCtx) BN_CTX_free(bnCtx);
EC_GROUP_free(ecgrp);
return rv;
};
/*-
* This implementation is based on the following primitives in the IEEE 1363 standard:
* - ECKAS-DH1
* - ECSVDP-DH
* Finally an optional KDF is applied.
*/
int ossl_ecdh_compute_key(void *out, size_t outlen, const EC_POINT *pub_key,
const EC_KEY *ecdh,
void *(*KDF) (const void *in, size_t inlen,
void *out, size_t *outlen))
{
BN_CTX *ctx;
EC_POINT *tmp = NULL;
BIGNUM *x = NULL, *y = NULL;
const BIGNUM *priv_key;
const EC_GROUP *group;
int ret = -1;
size_t buflen, len;
unsigned char *buf = NULL;
if (outlen > INT_MAX) {
ECerr(EC_F_OSSL_ECDH_COMPUTE_KEY, ERR_R_MALLOC_FAILURE); /* sort of,
* anyway */
return -1;
}
if (ecdh->group->meth->ecdh_compute_key != 0)
return ecdh->group->meth->ecdh_compute_key(out, outlen, pub_key, ecdh,
KDF);
if ((ctx = BN_CTX_new()) == NULL)
goto err;
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
priv_key = EC_KEY_get0_private_key(ecdh);
if (priv_key == NULL) {
ECerr(EC_F_OSSL_ECDH_COMPUTE_KEY, EC_R_NO_PRIVATE_VALUE);
goto err;
}
group = EC_KEY_get0_group(ecdh);
if (EC_KEY_get_flags(ecdh) & EC_FLAG_COFACTOR_ECDH) {
if (!EC_GROUP_get_cofactor(group, x, NULL) ||
!BN_mul(x, x, priv_key, ctx)) {
ECerr(EC_F_OSSL_ECDH_COMPUTE_KEY, ERR_R_MALLOC_FAILURE);
goto err;
}
priv_key = x;
}
if ((tmp = EC_POINT_new(group)) == NULL) {
ECerr(EC_F_OSSL_ECDH_COMPUTE_KEY, ERR_R_MALLOC_FAILURE);
goto err;
}
if (!EC_POINT_mul(group, tmp, NULL, pub_key, priv_key, ctx)) {
ECerr(EC_F_OSSL_ECDH_COMPUTE_KEY, EC_R_POINT_ARITHMETIC_FAILURE);
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, x, y, ctx)) {
ECerr(EC_F_OSSL_ECDH_COMPUTE_KEY, EC_R_POINT_ARITHMETIC_FAILURE);
goto err;
}
}
#ifndef OPENSSL_NO_EC2M
else {
if (!EC_POINT_get_affine_coordinates_GF2m(group, tmp, x, y, ctx)) {
ECerr(EC_F_OSSL_ECDH_COMPUTE_KEY, EC_R_POINT_ARITHMETIC_FAILURE);
goto err;
}
}
#endif
buflen = (EC_GROUP_get_degree(group) + 7) / 8;
len = BN_num_bytes(x);
if (len > buflen) {
ECerr(EC_F_OSSL_ECDH_COMPUTE_KEY, ERR_R_INTERNAL_ERROR);
goto err;
}
if ((buf = OPENSSL_malloc(buflen)) == NULL) {
ECerr(EC_F_OSSL_ECDH_COMPUTE_KEY, ERR_R_MALLOC_FAILURE);
goto err;
}
memset(buf, 0, buflen - len);
if (len != (size_t)BN_bn2bin(x, buf + buflen - len)) {
ECerr(EC_F_OSSL_ECDH_COMPUTE_KEY, ERR_R_BN_LIB);
goto err;
}
if (KDF != 0) {
if (KDF(buf, buflen, out, &outlen) == NULL) {
ECerr(EC_F_OSSL_ECDH_COMPUTE_KEY, EC_R_KDF_FAILED);
goto err;
}
ret = outlen;
} else {
/* no KDF, just copy as much as we can */
if (outlen > buflen)
outlen = buflen;
memcpy(out, buf, outlen);
ret = outlen;
}
err:
EC_POINT_free(tmp);
if (ctx)
BN_CTX_end(ctx);
BN_CTX_free(ctx);
OPENSSL_free(buf);
return (ret);
}
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, *order = NULL, *X = NULL;
EC_POINT *tmp_point = NULL;
const EC_GROUP *group;
int ret = 0;
if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) {
ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if (ctx_in == NULL) {
if ((ctx = BN_CTX_new()) == NULL) {
ECDSAerr(ECDSA_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 */
order = BN_new();
X = BN_new();
if (!k || !r || !order || !X) {
ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE);
goto err;
}
if ((tmp_point = EC_POINT_new(group)) == NULL) {
ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB);
goto err;
}
if (!EC_GROUP_get_order(group, order, ctx)) {
ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB);
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)) {
ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP,
ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED);
goto err;
}
} else {
if (!BN_rand_range(k, order)) {
ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP,
ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED);
goto err;
}
}
while (BN_is_zero(k));
/*
* We do not want timing information to leak the length of k, so we
* compute G*k using an equivalent scalar of fixed bit-length.
*/
if (!BN_add(k, k, order))
goto err;
if (BN_num_bits(k) <= BN_num_bits(order))
if (!BN_add(k, k, order))
goto err;
/* compute r the x-coordinate of generator * k */
if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) {
ECDSAerr(ECDSA_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)) {
ECDSAerr(ECDSA_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)) {
ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB);
goto err;
}
}
#endif
if (!BN_nnmod(r, X, order, ctx)) {
ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB);
goto err;
}
}
while (BN_is_zero(r));
/* compute the inverse of k */
if (EC_GROUP_get_mont_data(group) != 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)) {
ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB);
goto err;
}
if (!BN_mod_sub(X, order, X, order, ctx)) {
ECDSAerr(ECDSA_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, EC_GROUP_get_mont_data(group))) {
ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB);
goto err;
}
} else {
if (!BN_mod_inverse(k, k, order, ctx)) {
ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB);
goto err;
}
}
/* clear old values if necessary */
if (*rp != NULL)
BN_clear_free(*rp);
if (*kinvp != NULL)
BN_clear_free(*kinvp);
/* save the pre-computed values */
*rp = r;
*kinvp = k;
ret = 1;
err:
if (!ret) {
if (k != NULL)
BN_clear_free(k);
if (r != NULL)
BN_clear_free(r);
}
if (ctx_in == NULL)
BN_CTX_free(ctx);
if (order != NULL)
BN_free(order);
EC_POINT_free(tmp_point);
if (X)
BN_clear_free(X);
return (ret);
}
static int ssl_ec_point_finish(SSL_ECDH_CTX *ctx, uint8_t **out_secret,
size_t *out_secret_len, uint8_t *out_alert,
const uint8_t *peer_key, size_t peer_key_len) {
BIGNUM *private_key = (BIGNUM *)ctx->data;
assert(private_key != NULL);
*out_alert = SSL_AD_INTERNAL_ERROR;
/* Set up a shared |BN_CTX| for all operations. */
BN_CTX *bn_ctx = BN_CTX_new();
if (bn_ctx == NULL) {
return 0;
}
BN_CTX_start(bn_ctx);
int ret = 0;
EC_GROUP *group = EC_GROUP_new_by_curve_name(ctx->method->nid);
EC_POINT *peer_point = NULL, *result = NULL;
uint8_t *secret = NULL;
if (group == NULL) {
goto err;
}
/* Compute the x-coordinate of |peer_key| * |private_key|. */
peer_point = EC_POINT_new(group);
result = EC_POINT_new(group);
if (peer_point == NULL || result == NULL) {
goto err;
}
BIGNUM *x = BN_CTX_get(bn_ctx);
if (x == NULL) {
goto err;
}
if (!EC_POINT_oct2point(group, peer_point, peer_key, peer_key_len, bn_ctx)) {
*out_alert = SSL_AD_DECODE_ERROR;
goto err;
}
if (!EC_POINT_mul(group, result, NULL, peer_point, private_key, bn_ctx) ||
!EC_POINT_get_affine_coordinates_GFp(group, result, x, NULL, bn_ctx)) {
goto err;
}
/* Encode the x-coordinate left-padded with zeros. */
size_t secret_len = (EC_GROUP_get_degree(group) + 7) / 8;
secret = OPENSSL_malloc(secret_len);
if (secret == NULL || !BN_bn2bin_padded(secret, secret_len, x)) {
goto err;
}
*out_secret = secret;
*out_secret_len = secret_len;
secret = NULL;
ret = 1;
err:
EC_GROUP_free(group);
EC_POINT_free(peer_point);
EC_POINT_free(result);
BN_CTX_end(bn_ctx);
BN_CTX_free(bn_ctx);
OPENSSL_free(secret);
return ret;
}
int EC_KEY_generate_key(EC_KEY *eckey)
{
int ok = 0;
BN_CTX *ctx = NULL;
BIGNUM *priv_key = NULL, *order = NULL;
EC_POINT *pub_key = NULL;
if (!eckey || !eckey->group)
{
ECerr(EC_F_EC_KEY_GENERATE_KEY, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if ((order = BN_new()) == NULL) goto err;
if ((ctx = BN_CTX_new()) == NULL) goto err;
if (eckey->priv_key == NULL)
{
priv_key = BN_new();
if (priv_key == NULL)
goto err;
}
else
priv_key = eckey->priv_key;
if (!EC_GROUP_get_order(eckey->group, order, ctx))
goto err;
do
if (!BN_rand_range(priv_key, order))
goto err;
while (BN_is_zero(priv_key));
if (eckey->pub_key == NULL)
{
pub_key = EC_POINT_new(eckey->group);
if (pub_key == NULL)
goto err;
}
else
pub_key = eckey->pub_key;
if (!EC_POINT_mul(eckey->group, pub_key, priv_key, NULL, NULL, ctx))
goto err;
eckey->priv_key = priv_key;
eckey->pub_key = pub_key;
ok=1;
err:
if (order)
BN_free(order);
if (pub_key != NULL && eckey->pub_key == NULL)
EC_POINT_free(pub_key);
if (priv_key != NULL && eckey->priv_key == NULL)
BN_free(priv_key);
if (ctx != NULL)
BN_CTX_free(ctx);
return(ok);
}
int main(int argc, const char *argv[])
{
int r;
int ok = 0;
char *prog = "ecc";
// libpopt var
poptContext popt_ctx;
const char **rest;
int command = 0;
char *curve_name = "secp192k1";
int point_compressed = 0;
point_conversion_form_t point_form;
struct poptOption options[] = {
{"curve-name", 'c', POPT_ARG_STRING, &curve_name, 0, "elliptic curve name", "NAME"},
{"point-compressed", 'z', POPT_ARG_NONE, &point_compressed, 0, "point format, compress or uncompress", NULL},
{"print-curve", 'p', POPT_ARG_VAL, &command, ECC_PRINT, "print elliptic curve parameters", NULL},
{"random-private-key", 0, POPT_ARG_VAL, &command, ECC_RAND_SKEY, "random generate a private key\n", NULL},
{"random-keypair", 0, POPT_ARG_VAL, &command, ECC_RAND_KEYPAIR, "generate a random key pair\n", NULL},
{"check-point", 'e', POPT_ARG_VAL, &command, ECC_CHECK_POINT, "check if point is valid\n", NULL},
{"point-add", 'a', POPT_ARG_VAL, &command, ECC_ADD, "elliptic curve point addition", NULL},
{"point-double", 'b', POPT_ARG_VAL, &command, ECC_DOUBLE, "elliptic curve point double", NULL},
{"point-mul", 'x', POPT_ARG_VAL, &command, ECC_MUL, "k*G", NULL},
{"point-mul-generator", 'X', POPT_ARG_VAL, &command, ECC_MUL_G, "elliptic curve point scalar multiply", NULL},
{"point-invert", 'i', POPT_ARG_VAL, &command, ECC_INVERT, "elliptic curve point inverse", NULL},
{"ecdsa-sign", 's', POPT_ARG_VAL, &command, ECC_SIGN, "ecdsa sign", NULL},
{"ecdsa-verify", 'v', POPT_ARG_VAL, &command, ECC_VERIFY, "ecdsa verify", NULL},
POPT_AUTOHELP
POPT_TABLEEND
};
// openssl var
EC_GROUP *ec_group = NULL;
EC_POINT *P = NULL;
EC_POINT *Q = NULL;
EC_POINT *R = NULL;
BIGNUM *k = BN_new();
BN_CTX *bn_ctx = BN_CTX_new();
// argument parsing
popt_ctx = poptGetContext(argv[0], argc, argv, options, 0);
if ((r = poptGetNextOpt(popt_ctx)) < -1) {
fprintf(stderr, "%s: bad argument %s: %s\n", argv[0],
poptBadOption(popt_ctx, POPT_BADOPTION_NOALIAS),
poptStrerror(r));
goto exit;
}
rest = poptGetArgs(popt_ctx);
// check arguments
ec_group = EC_GROUP_new_by_curve_name(OBJ_txt2nid(curve_name));
if (ec_group == NULL) {
fprintf(stderr, "%s: unknown curve name\n", prog);
goto exit;
}
P = EC_POINT_new(ec_group);
Q = EC_POINT_new(ec_group);
R = EC_POINT_new(ec_group);
point_form = point_compressed ? POINT_CONVERSION_COMPRESSED : POINT_CONVERSION_UNCOMPRESSED;
switch (command) {
case ECC_PRINT:
{
BIGNUM *p = BN_new();
BIGNUM *a = BN_new();
BIGNUM *b = BN_new();
char *generator;
BIGNUM *order = BN_new();
BIGNUM *cofactor = BN_new();
EC_GROUP_get_curve_GFp(ec_group, p, a, b, bn_ctx);
generator = EC_POINT_point2hex(ec_group, EC_GROUP_get0_generator(ec_group), point_form, bn_ctx);
EC_GROUP_get_order(ec_group, order, bn_ctx);
EC_GROUP_get_cofactor(ec_group, cofactor, bn_ctx);
fprintf(stdout, "Name : %s\n", OBJ_nid2sn(EC_GROUP_get_curve_name(ec_group)));
fprintf(stdout, "FieldType : %s\n", "PrimeField");
fprintf(stdout, "Prime : %s\n", BN_bn2hex(p));
fprintf(stdout, "A : %s\n", BN_bn2hex(a));
fprintf(stdout, "B : %s\n", BN_bn2hex(b));
fprintf(stdout, "Generator : %s\n", generator);
fprintf(stdout, "Order : %s\n", BN_bn2hex(order));
fprintf(stdout, "Cofactor : %s\n", BN_bn2hex(cofactor));
BN_free(p);
BN_free(a);
BN_free(b);
BN_free(order);
BN_free(cofactor);
break;
}
case ECC_CHECK_POINT:
{
if (!rest) {
fprintf(stderr, "%s: short of point\n", prog);
goto exit;
}
if (!rest[0]) {
fprintf(stderr, "%s: short of point\n", prog);
goto exit;
}
if (EC_POINT_hex2point(ec_group, rest[0], P, bn_ctx))
fprintf(stdout, "ture\n");
else
fprintf(stdout, "false\n");
break;
}
case ECC_RAND_SKEY:
{
EC_KEY *ec_key = EC_KEY_new();
EC_KEY_set_group(ec_key, ec_group);
EC_KEY_generate_key(ec_key);
fprintf(stdout, "%s\n", BN_bn2hex(EC_KEY_get0_private_key(ec_key)));
EC_KEY_free(ec_key);
break;
}
case ECC_RAND_KEYPAIR:
{
EC_KEY *ec_key = EC_KEY_new();
EC_KEY_set_group(ec_key, ec_group);
EC_KEY_generate_key(ec_key);
fprintf(stdout, "%s\n", BN_bn2hex(EC_KEY_get0_private_key(ec_key)));
fprintf(stdout, "%s\n", EC_POINT_point2hex(ec_group, EC_KEY_get0_public_key(ec_key), point_form, bn_ctx));
EC_KEY_free(ec_key);
break;
}
case ECC_ADD:
{
if (!rest) {
fprintf(stderr, "%s: short of point\n", prog);
goto exit;
}
if (!rest[0] || !rest[1]) {
fprintf(stderr, "%s: short of point\n", prog);
goto exit;
}
if (!EC_POINT_hex2point(ec_group, rest[1], P, bn_ctx)) {
fprintf(stderr, "%s: first point invalid\n", prog);
goto exit;
}
if (!EC_POINT_hex2point(ec_group, rest[1], Q, bn_ctx)) {
fprintf(stderr, "%s: second point invalid\n", prog);
goto exit;
}
EC_POINT_add(ec_group, R, P, Q, bn_ctx);
fprintf(stdout, "%s\n", EC_POINT_point2hex(ec_group, R, point_form, bn_ctx));
break;
}
case ECC_DOUBLE:
{
EC_POINT_dbl(ec_group, R, P, bn_ctx);
fprintf(stdout, "%s\n", EC_POINT_point2hex(ec_group, R, point_form, bn_ctx));
break;
}
case ECC_MUL:
{
BIGNUM *order = NULL;
if (!BN_hex2bn(&k, rest[0])) {
fprintf(stderr, "%s: integer invalid\n", prog);
goto exit;
}
order = BN_new();
EC_GROUP_get_order(ec_group, order, bn_ctx);
if (BN_cmp(k, order) >= 0) {
fprintf(stderr, "%s: integer value invalid\n", prog);
BN_free(order);
goto exit;
}
BN_free(order);
if (!EC_POINT_hex2point(ec_group, rest[1], P, bn_ctx)) {
fprintf(stderr, "%s: point invalid\n", prog);
goto exit;
}
EC_POINT_mul(ec_group, R, k, P, NULL, bn_ctx);
fprintf(stdout, "%s\n", EC_POINT_point2hex(ec_group, R, point_form, bn_ctx));
break;
}
case ECC_MUL_G:
{
BIGNUM *order = NULL;
if (!BN_hex2bn(&k, rest[0])) {
fprintf(stderr, "%s: integer format invalid\n", prog);
goto exit;
}
order = BN_new();
EC_GROUP_get_order(ec_group, order, bn_ctx);
if (BN_cmp(k, order) >= 0) {
fprintf(stderr, "%s: integer value invalid\n", prog);
BN_free(order);
goto exit;
}
BN_free(order);
EC_POINT_mul(ec_group, R, k, EC_GROUP_get0_generator(ec_group), NULL, bn_ctx);
fprintf(stdout, "%s\n", EC_POINT_point2hex(ec_group, R, point_form, bn_ctx));
break;
}
default:
fprintf(stderr, "%s: command is required\n", prog);
break;
}
ok = 1;
exit:
if (ec_group) EC_GROUP_free(ec_group);
if (P) EC_POINT_free(P);
if (k) BN_free(k);
if (bn_ctx) BN_CTX_free(bn_ctx);
return ok ? 0 : -1;
}
SM2_CIPHERTEXT_VALUE *SM2_do_encrypt(const EVP_MD *kdf_md, const EVP_MD *mac_md,
const unsigned char *in, size_t inlen, EC_KEY *ec_key)
{
int ok = 0;
SM2_CIPHERTEXT_VALUE *cv = NULL;
const EC_GROUP *ec_group = EC_KEY_get0_group(ec_key);
const EC_POINT *pub_key = EC_KEY_get0_public_key(ec_key);
KDF_FUNC kdf = KDF_get_x9_63(kdf_md);
EC_POINT *point = NULL;
BIGNUM *n = NULL;
BIGNUM *h = NULL;
BIGNUM *k = NULL;
BN_CTX *bn_ctx = NULL;
EVP_MD_CTX *md_ctx = NULL;
unsigned char buf[(OPENSSL_ECC_MAX_FIELD_BITS + 7)/4 + 1];
int nbytes;
size_t len;
int i;
if (!ec_group || !pub_key) {
goto end;
}
if (!kdf) {
goto end;
}
/* init ciphertext_value */
if (!(cv = OPENSSL_malloc(sizeof(SM2_CIPHERTEXT_VALUE)))) {
goto end;
}
bzero(cv, sizeof(SM2_CIPHERTEXT_VALUE));
cv->ephem_point = EC_POINT_new(ec_group);
cv->ciphertext = OPENSSL_malloc(inlen);
cv->ciphertext_size = inlen;
if (!cv->ephem_point || !cv->ciphertext) {
goto end;
}
point = EC_POINT_new(ec_group);
n = BN_new();
h = BN_new();
k = BN_new();
bn_ctx = BN_CTX_new();
md_ctx = EVP_MD_CTX_create();
if (!point || !n || !h || !k || !bn_ctx || !md_ctx) {
goto end;
}
/* init ec domain parameters */
if (!EC_GROUP_get_order(ec_group, n, bn_ctx)) {
goto end;
}
if (!EC_GROUP_get_cofactor(ec_group, h, bn_ctx)) {
goto end;
}
nbytes = (EC_GROUP_get_degree(ec_group) + 7) / 8;
//OPENSSL_assert(nbytes == BN_num_bytes(n));
#if 0
/* check sm2 curve and md is 256 bits */
OPENSSL_assert(nbytes == 32);
OPENSSL_assert(EVP_MD_size(kdf_md) == 32);
OPENSSL_assert(EVP_MD_size(mac_md) == 32);
#endif
do
{
/* A1: rand k in [1, n-1] */
do {
BN_rand_range(k, n);
} while (BN_is_zero(k));
/* A2: C1 = [k]G = (x1, y1) */
if (!EC_POINT_mul(ec_group, cv->ephem_point, k, NULL, NULL, bn_ctx)) {
goto end;
}
/* A3: check [h]P_B != O */
if (!EC_POINT_mul(ec_group, point, NULL, pub_key, h, bn_ctx)) {
goto end;
}
if (EC_POINT_is_at_infinity(ec_group, point)) {
goto end;
}
/* A4: compute ECDH [k]P_B = (x2, y2) */
if (!EC_POINT_mul(ec_group, point, NULL, pub_key, k, bn_ctx)) {
goto end;
}
if (!(len = EC_POINT_point2oct(ec_group, point,
POINT_CONVERSION_UNCOMPRESSED, buf, sizeof(buf), bn_ctx))) {
goto end;
}
OPENSSL_assert(len == nbytes * 2 + 1);
/* A5: t = KDF(x2 || y2, klen) */
kdf(buf + 1, len - 1, cv->ciphertext, &cv->ciphertext_size);
for (i = 0; i < cv->ciphertext_size; i++) {
if (cv->ciphertext[i]) {
break;
}
}
if (i == cv->ciphertext_size) {
continue;
}
break;
} while (1);
/* A6: C2 = M xor t */
for (i = 0; i < inlen; i++) {
cv->ciphertext[i] ^= in[i];
}
/* A7: C3 = Hash(x2 || M || y2) */
if (!EVP_DigestInit_ex(md_ctx, mac_md, NULL)) {
goto end;
}
if (!EVP_DigestUpdate(md_ctx, buf + 1, nbytes)) {
goto end;
}
if (!EVP_DigestUpdate(md_ctx, in, inlen)) {
goto end;
}
if (!EVP_DigestUpdate(md_ctx, buf + 1 + nbytes, nbytes)) {
goto end;
}
if (!EVP_DigestFinal_ex(md_ctx, cv->mactag, &cv->mactag_size)) {
goto end;
}
ok = 1;
end:
if (!ok && cv) {
SM2_CIPHERTEXT_VALUE_free(cv);
cv = NULL;
}
if (point) EC_POINT_free(point);
if (n) BN_free(n);
if (h) BN_free(h);
if (k) BN_free(k);
if (bn_ctx) BN_CTX_free(bn_ctx);
if (md_ctx) EVP_MD_CTX_destroy(md_ctx);
return cv;
}
int
compute_password_element (pwd_session_t *sess, uint16_t grp_num,
char *password, int password_len,
char *id_server, int id_server_len,
char *id_peer, int id_peer_len,
uint32_t *token)
{
BIGNUM *x_candidate = NULL, *rnd = NULL, *cofactor = NULL;
HMAC_CTX ctx;
uint8_t pwe_digest[SHA256_DIGEST_LENGTH], *prfbuf = NULL, ctr;
int nid, is_odd, primebitlen, primebytelen, ret = 0;
switch (grp_num) { /* from IANA registry for IKE D-H groups */
case 19:
nid = NID_X9_62_prime256v1;
break;
case 20:
nid = NID_secp384r1;
break;
case 21:
nid = NID_secp521r1;
break;
case 25:
nid = NID_X9_62_prime192v1;
break;
case 26:
nid = NID_secp224r1;
break;
default:
DEBUG("unknown group %d", grp_num);
goto fail;
}
sess->pwe = NULL;
sess->order = NULL;
sess->prime = NULL;
if ((sess->group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
DEBUG("unable to create EC_GROUP");
goto fail;
}
if (((rnd = BN_new()) == NULL) ||
((cofactor = BN_new()) == NULL) ||
((sess->pwe = EC_POINT_new(sess->group)) == NULL) ||
((sess->order = BN_new()) == NULL) ||
((sess->prime = BN_new()) == NULL) ||
((x_candidate = BN_new()) == NULL)) {
DEBUG("unable to create bignums");
goto fail;
}
if (!EC_GROUP_get_curve_GFp(sess->group, sess->prime, NULL, NULL, NULL))
{
DEBUG("unable to get prime for GFp curve");
goto fail;
}
if (!EC_GROUP_get_order(sess->group, sess->order, NULL)) {
DEBUG("unable to get order for curve");
goto fail;
}
if (!EC_GROUP_get_cofactor(sess->group, cofactor, NULL)) {
DEBUG("unable to get cofactor for curve");
goto fail;
}
primebitlen = BN_num_bits(sess->prime);
primebytelen = BN_num_bytes(sess->prime);
if ((prfbuf = talloc_zero_array(sess, uint8_t, primebytelen)) == NULL) {
DEBUG("unable to alloc space for prf buffer");
goto fail;
}
ctr = 0;
while (1) {
if (ctr > 10) {
DEBUG("unable to find random point on curve for group %d, something's fishy", grp_num);
goto fail;
}
ctr++;
/*
* compute counter-mode password value and stretch to prime
* pwd-seed = H(token | peer-id | server-id | password |
* counter)
*/
H_Init(&ctx);
H_Update(&ctx, (uint8_t *)token, sizeof(*token));
H_Update(&ctx, (uint8_t *)id_peer, id_peer_len);
H_Update(&ctx, (uint8_t *)id_server, id_server_len);
H_Update(&ctx, (uint8_t *)password, password_len);
H_Update(&ctx, (uint8_t *)&ctr, sizeof(ctr));
H_Final(&ctx, pwe_digest);
BN_bin2bn(pwe_digest, SHA256_DIGEST_LENGTH, rnd);
eap_pwd_kdf(pwe_digest, SHA256_DIGEST_LENGTH,
"EAP-pwd Hunting And Pecking",
strlen("EAP-pwd Hunting And Pecking"),
prfbuf, primebitlen);
BN_bin2bn(prfbuf, primebytelen, x_candidate);
/*
* eap_pwd_kdf() returns a string of bits 0..primebitlen but
* BN_bin2bn will treat that string of bits as a big endian
* number. If the primebitlen is not an even multiple of 8
* then excessive bits-- those _after_ primebitlen-- so now
* we have to shift right the amount we masked off.
*/
if (primebitlen % 8) {
BN_rshift(x_candidate, x_candidate, (8 - (primebitlen % 8)));
}
if (BN_ucmp(x_candidate, sess->prime) >= 0) {
continue;
}
/*
* need to unambiguously identify the solution, if there is
* one...
*/
if (BN_is_odd(rnd)) {
is_odd = 1;
} else {
is_odd = 0;
}
/*
* solve the quadratic equation, if it's not solvable then we
* don't have a point
*/
if (!EC_POINT_set_compressed_coordinates_GFp(sess->group,
sess->pwe,
x_candidate,
is_odd, NULL)) {
continue;
}
/*
* If there's a solution to the equation then the point must be
* on the curve so why check again explicitly? OpenSSL code
* says this is required by X9.62. We're not X9.62 but it can't
* hurt just to be sure.
*/
if (!EC_POINT_is_on_curve(sess->group, sess->pwe, NULL)) {
DEBUG("EAP-pwd: point is not on curve");
continue;
}
if (BN_cmp(cofactor, BN_value_one())) {
/* make sure the point is not in a small sub-group */
if (!EC_POINT_mul(sess->group, sess->pwe, NULL, sess->pwe,
cofactor, NULL)) {
DEBUG("EAP-pwd: cannot multiply generator by order");
continue;
}
if (EC_POINT_is_at_infinity(sess->group, sess->pwe)) {
DEBUG("EAP-pwd: point is at infinity");
continue;
}
}
/* if we got here then we have a new generator. */
break;
}
sess->group_num = grp_num;
if (0) {
fail: /* DON'T free sess, it's in handler->opaque */
ret = -1;
}
/* cleanliness and order.... */
BN_free(cofactor);
BN_free(x_candidate);
BN_free(rnd);
talloc_free(prfbuf);
return ret;
}
int
process_peer_commit (pwd_session_t *sess, uint8_t *commit, BN_CTX *bnctx)
{
uint8_t *ptr;
BIGNUM *x = NULL, *y = NULL, *cofactor = NULL;
EC_POINT *K = NULL, *point = NULL;
int res = 1;
if (((sess->peer_scalar = BN_new()) == NULL) ||
((sess->k = BN_new()) == NULL) ||
((cofactor = BN_new()) == NULL) ||
((x = BN_new()) == NULL) ||
((y = BN_new()) == NULL) ||
((point = EC_POINT_new(sess->group)) == NULL) ||
((K = EC_POINT_new(sess->group)) == NULL) ||
((sess->peer_element = EC_POINT_new(sess->group)) == NULL)) {
DEBUG2("pwd: failed to allocate room to process peer's commit");
goto fin;
}
if (!EC_GROUP_get_cofactor(sess->group, cofactor, NULL)) {
DEBUG2("pwd: unable to get group co-factor");
goto fin;
}
/* element, x then y, followed by scalar */
ptr = (uint8_t *)commit;
BN_bin2bn(ptr, BN_num_bytes(sess->prime), x);
ptr += BN_num_bytes(sess->prime);
BN_bin2bn(ptr, BN_num_bytes(sess->prime), y);
ptr += BN_num_bytes(sess->prime);
BN_bin2bn(ptr, BN_num_bytes(sess->order), sess->peer_scalar);
if (!EC_POINT_set_affine_coordinates_GFp(sess->group,
sess->peer_element, x, y,
bnctx)) {
DEBUG2("pwd: unable to get coordinates of peer's element");
goto fin;
}
/* check to ensure peer's element is not in a small sub-group */
if (BN_cmp(cofactor, BN_value_one())) {
if (!EC_POINT_mul(sess->group, point, NULL,
sess->peer_element, cofactor, NULL)) {
DEBUG2("pwd: unable to multiply element by co-factor");
goto fin;
}
if (EC_POINT_is_at_infinity(sess->group, point)) {
DEBUG2("pwd: peer's element is in small sub-group");
goto fin;
}
}
/* compute the shared key, k */
if ((!EC_POINT_mul(sess->group, K, NULL, sess->pwe,
sess->peer_scalar, bnctx)) ||
(!EC_POINT_add(sess->group, K, K, sess->peer_element,
bnctx)) ||
(!EC_POINT_mul(sess->group, K, NULL, K, sess->private_value,
bnctx))) {
DEBUG2("pwd: unable to compute shared key, k");
goto fin;
}
/* ensure that the shared key isn't in a small sub-group */
if (BN_cmp(cofactor, BN_value_one())) {
if (!EC_POINT_mul(sess->group, K, NULL, K, cofactor,
NULL)) {
DEBUG2("pwd: unable to multiply k by co-factor");
goto fin;
}
}
/*
* This check is strictly speaking just for the case above where
* co-factor > 1 but it was suggested that even though this is probably
* never going to happen it is a simple and safe check "just to be
* sure" so let's be safe.
*/
if (EC_POINT_is_at_infinity(sess->group, K)) {
DEBUG2("pwd: k is point-at-infinity!");
goto fin;
}
if (!EC_POINT_get_affine_coordinates_GFp(sess->group, K, sess->k,
NULL, bnctx)) {
DEBUG2("pwd: unable to get shared secret from K");
goto fin;
}
res = 0;
fin:
EC_POINT_free(K);
EC_POINT_free(point);
BN_free(cofactor);
BN_free(x);
BN_free(y);
return res;
}
int generateRingSignatureAB(data_chunk &keyImage, uint256 &txnHash, int nRingSize, int nSecretOffset, ec_secret secret, const uint8_t *pPubkeys, data_chunk &sigC, uint8_t *pSigS)
{
// https://bitcointalk.org/index.php?topic=972541.msg10619684
if (fDebugRingSig)
LogPrintf("%s: Ring size %d.\n", __func__, nRingSize);
assert(nRingSize < 200);
RandAddSeedPerfmon();
memset(pSigS, 0, EC_SECRET_SIZE * nRingSize);
int rv = 0;
int nBytes;
uint256 tmpPkHash;
uint256 tmpHash;
uint8_t tempData[66]; // hold raw point data to hash
ec_secret sAlpha;
if (0 != GenerateRandomSecret(sAlpha))
return errorN(1, "%s: GenerateRandomSecret failed.", __func__);
CHashWriter ssPkHash(SER_GETHASH, PROTOCOL_VERSION);
CHashWriter ssCjHash(SER_GETHASH, PROTOCOL_VERSION);
uint256 test;
for (int i = 0; i < nRingSize; ++i)
{
ssPkHash.write((const char*)&pPubkeys[i * EC_COMPRESSED_SIZE], EC_COMPRESSED_SIZE);
if (i == nSecretOffset)
continue;
int k;
// NOTE: necessary to clamp?
for (k = 0; k < 32; ++k)
{
if (1 != RAND_bytes(&pSigS[i * EC_SECRET_SIZE], 32))
return errorN(1, "%s: RAND_bytes ERR_get_error %u.", __func__, ERR_get_error());
memcpy(test.begin(), &pSigS[i * EC_SECRET_SIZE], 32);
if (test > MIN_SECRET && test < MAX_SECRET)
break;
};
if (k > 31)
return errorN(1, "%s: Failed to generate a valid key.", __func__);
};
tmpPkHash = ssPkHash.GetHash();
BN_CTX_start(bnCtx);
BIGNUM *bnT = BN_CTX_get(bnCtx);
BIGNUM *bnT2 = BN_CTX_get(bnCtx);
BIGNUM *bnS = BN_CTX_get(bnCtx);
BIGNUM *bnC = BN_CTX_get(bnCtx);
BIGNUM *bnCj = BN_CTX_get(bnCtx);
BIGNUM *bnA = BN_CTX_get(bnCtx);
EC_POINT *ptKi = NULL;
EC_POINT *ptPk = NULL;
EC_POINT *ptT1 = NULL;
EC_POINT *ptT2 = NULL;
EC_POINT *ptT3 = NULL;
EC_POINT *ptT4 = NULL;
if ( !(ptKi = EC_POINT_new(ecGrp))
|| !(ptPk = EC_POINT_new(ecGrp))
|| !(ptT1 = EC_POINT_new(ecGrp))
|| !(ptT2 = EC_POINT_new(ecGrp))
|| !(ptT3 = EC_POINT_new(ecGrp))
|| !(ptT4 = EC_POINT_new(ecGrp)))
{
LogPrintf("%s: EC_POINT_new failed.\n", __func__);
rv = 1; goto End;
};
// get keyimage as point
if (!EC_POINT_oct2point(ecGrp, ptKi, &keyImage[0], EC_COMPRESSED_SIZE, bnCtx))
{
LogPrintf("%s: extract ptKi failed.\n", __func__);
rv = 1; goto End;
};
// c_{j+1} = h(P_1,...,P_n,alpha*G,alpha*H(P_j))
if (!bnA || !(BN_bin2bn(&sAlpha.e[0], EC_SECRET_SIZE, bnA)))
{
LogPrintf("%s: BN_bin2bn failed.\n", __func__);
rv = 1; goto End;
};
// ptT1 = alpha * G
if (!EC_POINT_mul(ecGrp, ptT1, bnA, NULL, NULL, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptT3 = H(Pj)
if (hashToEC(&pPubkeys[nSecretOffset * EC_COMPRESSED_SIZE], EC_COMPRESSED_SIZE, bnT2, ptT3) != 0)
{
LogPrintf("%s: hashToEC failed.\n", __func__);
rv = 1; goto End;
};
ssCjHash.write((const char*)tmpPkHash.begin(), 32);
// ptT2 = alpha * H(P_j)
// ptT2 = alpha * ptT3
if (!EC_POINT_mul(ecGrp, ptT2, NULL, ptT3, bnA, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
if ( !(EC_POINT_point2oct(ecGrp, ptT1, POINT_CONVERSION_COMPRESSED, &tempData[0], 33, bnCtx) == (int) EC_COMPRESSED_SIZE)
|| !(EC_POINT_point2oct(ecGrp, ptT2, POINT_CONVERSION_COMPRESSED, &tempData[33], 33, bnCtx) == (int) EC_COMPRESSED_SIZE))
{
LogPrintf("%s: extract ptL and ptR failed.\n", __func__);
rv = 1; goto End;
};
ssCjHash.write((const char*)&tempData[0], 66);
tmpHash = ssCjHash.GetHash();
if (!bnC || !(BN_bin2bn(tmpHash.begin(), EC_SECRET_SIZE, bnC)) // bnC lags i by 1
|| !BN_mod(bnC, bnC, bnOrder, bnCtx))
{
LogPrintf("%s: hash -> bnC failed.\n", __func__);
rv = 1; goto End;
};
// c_{j+2} = h(P_1,...,P_n,s_{j+1}*G+c_{j+1}*P_{j+1},s_{j+1}*H(P_{j+1})+c_{j+1}*I_j)
for (int k = 0, ib = (nSecretOffset + 1) % nRingSize, i = (nSecretOffset + 2) % nRingSize;
k < nRingSize;
++k, ib=i, i=(i+1) % nRingSize)
{
if (k == nRingSize - 1)
{
// s_j = alpha - c_j*x_j mod n.
if (!bnT || !BN_bin2bn(&secret.e[0], EC_SECRET_SIZE, bnT))
{
LogPrintf("%s: BN_bin2bn failed.\n", __func__);
rv = 1; goto End;
};
if (!BN_mul(bnT2, bnCj, bnT, bnCtx))
{
LogPrintf("%s: BN_mul failed.\n", __func__);
rv = 1; goto End;
};
if (!BN_mod_sub(bnS, bnA, bnT2, bnOrder, bnCtx))
{
LogPrintf("%s: BN_mod_sub failed.\n", __func__);
rv = 1; goto End;
};
if (!bnS || (nBytes = BN_num_bytes(bnS)) > (int) EC_SECRET_SIZE
|| BN_bn2bin(bnS, &pSigS[nSecretOffset * EC_SECRET_SIZE + (EC_SECRET_SIZE-nBytes)]) != nBytes)
{
LogPrintf("%s: bnS -> pSigS failed.\n", __func__);
rv = 1; goto End;
};
if (nSecretOffset != nRingSize - 1)
break;
};
if (!bnS || !(BN_bin2bn(&pSigS[ib * EC_SECRET_SIZE], EC_SECRET_SIZE, bnS)))
{
LogPrintf("%s: BN_bin2bn failed.\n", __func__);
rv = 1; goto End;
};
// bnC is from last round (ib)
if (!EC_POINT_oct2point(ecGrp, ptPk, &pPubkeys[ib * EC_COMPRESSED_SIZE], EC_COMPRESSED_SIZE, bnCtx))
{
LogPrintf("%s: EC_POINT_oct2point failed.\n", __func__);
rv = 1; goto End;
};
// ptT1 = s_{j+1}*G+c_{j+1}*P_{j+1}
if (!EC_POINT_mul(ecGrp, ptT1, bnS, ptPk, bnC, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
//s_{j+1}*H(P_{j+1})+c_{j+1}*I_j
if (hashToEC(&pPubkeys[ib * EC_COMPRESSED_SIZE], EC_COMPRESSED_SIZE, bnT2, ptT2) != 0)
{
LogPrintf("%s: hashToEC failed.\n", __func__);
rv = 1; goto End;
};
// ptT3 = s_{j+1}*H(P_{j+1})
if (!EC_POINT_mul(ecGrp, ptT3, NULL, ptT2, bnS, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptT4 = c_{j+1}*I_j
if (!EC_POINT_mul(ecGrp, ptT4, NULL, ptKi, bnC, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptT2 = ptT3 + ptT4
if (!EC_POINT_add(ecGrp, ptT2, ptT3, ptT4, bnCtx))
{
LogPrintf("%s: EC_POINT_add failed.\n", __func__);
rv = 1; goto End;
};
if ( !(EC_POINT_point2oct(ecGrp, ptT1, POINT_CONVERSION_COMPRESSED, &tempData[0], 33, bnCtx) == (int) EC_COMPRESSED_SIZE)
|| !(EC_POINT_point2oct(ecGrp, ptT2, POINT_CONVERSION_COMPRESSED, &tempData[33], 33, bnCtx) == (int) EC_COMPRESSED_SIZE))
{
LogPrintf("%s: extract ptL and ptR failed.\n", __func__);
rv = 1; goto End;
};
CHashWriter ssCHash(SER_GETHASH, PROTOCOL_VERSION);
ssCHash.write((const char*)tmpPkHash.begin(), 32);
ssCHash.write((const char*)&tempData[0], 66);
tmpHash = ssCHash.GetHash();
if (!bnC || !(BN_bin2bn(tmpHash.begin(), EC_SECRET_SIZE, bnC)) // bnC lags i by 1
|| !BN_mod(bnC, bnC, bnOrder, bnCtx))
{
LogPrintf("%s: hash -> bnC failed.\n", __func__);
rv = 1; goto End;
};
if (i == nSecretOffset
&& !BN_copy(bnCj, bnC))
{
LogPrintf("%s: BN_copy failed.\n", __func__);
rv = 1; goto End;
};
if (i == 0)
{
memset(tempData, 0, EC_SECRET_SIZE);
if ((nBytes = BN_num_bytes(bnC)) > (int) EC_SECRET_SIZE
|| BN_bn2bin(bnC, &tempData[0 + (EC_SECRET_SIZE-nBytes)]) != nBytes)
{
LogPrintf("%s: bnC -> sigC failed.\n", __func__);
rv = 1; goto End;
};
try { sigC.resize(32); } catch (std::exception& e)
{
LogPrintf("%s: sigC.resize failed.\n", __func__);
rv = 1; goto End;
};
memcpy(&sigC[0], tempData, EC_SECRET_SIZE);
};
};
End:
EC_POINT_free(ptKi);
EC_POINT_free(ptPk);
EC_POINT_free(ptT1);
EC_POINT_free(ptT2);
EC_POINT_free(ptT3);
EC_POINT_free(ptT4);
BN_CTX_end(bnCtx);
return rv;
};
int verifyRingSignature(data_chunk &keyImage, uint256 &txnHash, int nRingSize, const uint8_t *pPubkeys, const uint8_t *pSigc, const uint8_t *pSigr)
{
if (fDebugRingSig)
{
// LogPrintf("%s size %d\n", __func__, nRingSize); // happens often
};
int rv = 0;
BN_CTX_start(bnCtx);
BIGNUM *bnT = BN_CTX_get(bnCtx);
BIGNUM *bnH = BN_CTX_get(bnCtx);
BIGNUM *bnC = BN_CTX_get(bnCtx);
BIGNUM *bnR = BN_CTX_get(bnCtx);
BIGNUM *bnSum = BN_CTX_get(bnCtx);
EC_POINT *ptT1 = NULL;
EC_POINT *ptT2 = NULL;
EC_POINT *ptT3 = NULL;
EC_POINT *ptPk = NULL;
EC_POINT *ptKi = NULL;
EC_POINT *ptL = NULL;
EC_POINT *ptR = NULL;
EC_POINT *ptSi = NULL;
uint8_t tempData[66]; // hold raw point data to hash
uint256 commitHash;
CHashWriter ssCommitHash(SER_GETHASH, PROTOCOL_VERSION);
ssCommitHash << txnHash;
// zero sum
if (!bnSum || !(BN_zero(bnSum)))
{
LogPrintf("%s: BN_zero failed.\n", __func__);
rv = 1; goto End;
};
if ( !(ptT1 = EC_POINT_new(ecGrp))
|| !(ptT2 = EC_POINT_new(ecGrp))
|| !(ptT3 = EC_POINT_new(ecGrp))
|| !(ptPk = EC_POINT_new(ecGrp))
|| !(ptKi = EC_POINT_new(ecGrp))
|| !(ptL = EC_POINT_new(ecGrp))
|| !(ptSi = EC_POINT_new(ecGrp))
|| !(ptR = EC_POINT_new(ecGrp)))
{
LogPrintf("%s: EC_POINT_new failed.\n", __func__);
rv = 1; goto End;
};
// get keyimage as point
if (!(bnT = BN_bin2bn(&keyImage[0], EC_COMPRESSED_SIZE, bnT))
|| !(ptKi) || !(ptKi = EC_POINT_bn2point(ecGrp, bnT, ptKi, bnCtx)))
{
LogPrintf("%s: extract ptKi failed.\n", __func__);
rv = 1; goto End;
};
for (int i = 0; i < nRingSize; ++i)
{
// Li = ci * Pi + ri * G
// Ri = ci * I + ri * Hp(Pi)
if ( !bnC || !(bnC = BN_bin2bn(&pSigc[i * EC_SECRET_SIZE], EC_SECRET_SIZE, bnC))
|| !bnR || !(bnR = BN_bin2bn(&pSigr[i * EC_SECRET_SIZE], EC_SECRET_SIZE, bnR)))
{
LogPrintf("%s: extract bnC and bnR failed.\n", __func__);
rv = 1; goto End;
};
// get Pk i as point
if (!(bnT = BN_bin2bn(&pPubkeys[i * EC_COMPRESSED_SIZE], EC_COMPRESSED_SIZE, bnT))
|| !(ptPk) || !(ptPk = EC_POINT_bn2point(ecGrp, bnT, ptPk, bnCtx)))
{
LogPrintf("%s: extract ptPk failed.\n", __func__);
rv = 1; goto End;
};
// ptT1 = ci * Pi
if (!EC_POINT_mul(ecGrp, ptT1, NULL, ptPk, bnC, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptT2 = ri * G
if (!EC_POINT_mul(ecGrp, ptT2, bnR, NULL, NULL, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptL = ptT1 + ptT2
if (!EC_POINT_add(ecGrp, ptL, ptT1, ptT2, bnCtx))
{
LogPrintf("%s: EC_POINT_add failed.\n", __func__);
rv = 1; goto End;
};
// ptT3 = Hp(Pi)
if (hashToEC(&pPubkeys[i * EC_COMPRESSED_SIZE], EC_COMPRESSED_SIZE, bnT, ptT3) != 0)
{
LogPrintf("%s: hashToEC failed.\n", __func__);
rv = 1; goto End;
};
// DEBUGGING: ------- check if we can find the signer...
// ptSi = Pi * bnT
if ((!EC_POINT_mul(ecGrp, ptSi, NULL, ptPk, bnT, bnCtx)
|| false)
&& (rv = errorN(1, "%s: EC_POINT_mul failed.1", __func__)))
goto End;
if (0 == EC_POINT_cmp(ecGrp, ptSi, ptKi, bnCtx) )
LogPrintf("signer is index %d\n", i);
// DEBUGGING: - End - check if we can find the signer...
// ptT1 = k1 * I
if (!EC_POINT_mul(ecGrp, ptT1, NULL, ptKi, bnC, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptT2 = k2 * ptT3
if (!EC_POINT_mul(ecGrp, ptT2, NULL, ptT3, bnR, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptR = ptT1 + ptT2
if (!EC_POINT_add(ecGrp, ptR, ptT1, ptT2, bnCtx))
{
LogPrintf("%s: EC_POINT_add failed.\n", __func__);
rv = 1; goto End;
};
// sum = (sum + ci) % N
if (!BN_mod_add(bnSum, bnSum, bnC, bnOrder, bnCtx))
{
LogPrintf("%s: BN_mod_add failed.\n", __func__);
rv = 1; goto End;
};
// -- add ptL and ptR to hash
if ( !(EC_POINT_point2oct(ecGrp, ptL, POINT_CONVERSION_COMPRESSED, &tempData[0], 33, bnCtx) == (int) EC_COMPRESSED_SIZE)
|| !(EC_POINT_point2oct(ecGrp, ptR, POINT_CONVERSION_COMPRESSED, &tempData[33], 33, bnCtx) == (int) EC_COMPRESSED_SIZE))
{
LogPrintf("%s: extract ptL and ptR failed.\n", __func__);
rv = 1; goto End;
};
ssCommitHash.write((const char*)&tempData[0], 66);
};
commitHash = ssCommitHash.GetHash();
if (!(bnH) || !(bnH = BN_bin2bn(commitHash.begin(), EC_SECRET_SIZE, bnH)))
{
LogPrintf("%s: commitHash -> bnH failed.\n", __func__);
rv = 1; goto End;
};
if (!BN_mod(bnH, bnH, bnOrder, bnCtx))
{
LogPrintf("%s: BN_mod failed.\n", __func__);
rv = 1; goto End;
};
// bnT = (bnH - bnSum) % N
if (!BN_mod_sub(bnT, bnH, bnSum, bnOrder, bnCtx))
{
LogPrintf("%s: BN_mod_sub failed.\n", __func__);
rv = 1; goto End;
};
// test bnT == 0 (bnSum == bnH)
if (!BN_is_zero(bnT))
{
LogPrintf("%s: signature does not verify.\n", __func__);
rv = 2;
};
End:
EC_POINT_free(ptT1);
EC_POINT_free(ptT2);
EC_POINT_free(ptT3);
EC_POINT_free(ptPk);
EC_POINT_free(ptKi);
EC_POINT_free(ptL);
EC_POINT_free(ptR);
EC_POINT_free(ptSi);
BN_CTX_end(bnCtx);
return rv;
};
int generateRingSignature(data_chunk &keyImage, uint256 &txnHash, int nRingSize, int nSecretOffset, ec_secret secret, const uint8_t *pPubkeys, uint8_t *pSigc, uint8_t *pSigr)
{
if (fDebugRingSig)
LogPrintf("%s: Ring size %d.\n", __func__, nRingSize);
int rv = 0;
int nBytes;
BN_CTX_start(bnCtx);
BIGNUM *bnKS = BN_CTX_get(bnCtx);
BIGNUM *bnK1 = BN_CTX_get(bnCtx);
BIGNUM *bnK2 = BN_CTX_get(bnCtx);
BIGNUM *bnT = BN_CTX_get(bnCtx);
BIGNUM *bnH = BN_CTX_get(bnCtx);
BIGNUM *bnSum = BN_CTX_get(bnCtx);
EC_POINT *ptT1 = NULL;
EC_POINT *ptT2 = NULL;
EC_POINT *ptT3 = NULL;
EC_POINT *ptPk = NULL;
EC_POINT *ptKi = NULL;
EC_POINT *ptL = NULL;
EC_POINT *ptR = NULL;
uint8_t tempData[66]; // hold raw point data to hash
uint256 commitHash;
ec_secret scData1, scData2;
CHashWriter ssCommitHash(SER_GETHASH, PROTOCOL_VERSION);
ssCommitHash << txnHash;
// zero signature
memset(pSigc, 0, EC_SECRET_SIZE * nRingSize);
memset(pSigr, 0, EC_SECRET_SIZE * nRingSize);
// ks = random 256 bit int mod P
if (GenerateRandomSecret(scData1)
&& (rv = errorN(1, "%s: GenerateRandomSecret failed.", __func__)))
goto End;
if (!bnKS || !(BN_bin2bn(&scData1.e[0], EC_SECRET_SIZE, bnKS)))
{
LogPrintf("%s: BN_bin2bn failed.\n", __func__);
rv = 1; goto End;
};
// zero sum
if (!bnSum || !(BN_zero(bnSum)))
{
LogPrintf("%s: BN_zero failed.\n", __func__);
rv = 1; goto End;
};
if ( !(ptT1 = EC_POINT_new(ecGrp))
|| !(ptT2 = EC_POINT_new(ecGrp))
|| !(ptT3 = EC_POINT_new(ecGrp))
|| !(ptPk = EC_POINT_new(ecGrp))
|| !(ptKi = EC_POINT_new(ecGrp))
|| !(ptL = EC_POINT_new(ecGrp))
|| !(ptR = EC_POINT_new(ecGrp)))
{
LogPrintf("%s: EC_POINT_new failed.\n", __func__);
rv = 1; goto End;
};
// get keyimage as point
if (!(bnT = BN_bin2bn(&keyImage[0], EC_COMPRESSED_SIZE, bnT))
|| !(ptKi) || !(ptKi = EC_POINT_bn2point(ecGrp, bnT, ptKi, bnCtx)))
{
LogPrintf("%s: extract ptKi failed.\n", __func__);
rv = 1; goto End;
};
for (int i = 0; i < nRingSize; ++i)
{
if (i == nSecretOffset)
{
// k = random 256 bit int mod P
// L = k * G
// R = k * HashToEC(PKi)
if (!EC_POINT_mul(ecGrp, ptL, bnKS, NULL, NULL, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
if (hashToEC(&pPubkeys[i * EC_COMPRESSED_SIZE], EC_COMPRESSED_SIZE, bnT, ptT1) != 0)
{
LogPrintf("%s: hashToEC failed.\n", __func__);
rv = 1; goto End;
};
if (!EC_POINT_mul(ecGrp, ptR, NULL, ptT1, bnKS, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
} else
{
// k1 = random 256 bit int mod P
// k2 = random 256 bit int mod P
// Li = k1 * Pi + k2 * G
// Ri = k1 * I + k2 * Hp(Pi)
// ci = k1
// ri = k2
if (GenerateRandomSecret(scData1) != 0
|| !bnK1 || !(BN_bin2bn(&scData1.e[0], EC_SECRET_SIZE, bnK1))
|| GenerateRandomSecret(scData2) != 0
|| !bnK2 || !(BN_bin2bn(&scData2.e[0], EC_SECRET_SIZE, bnK2)))
{
LogPrintf("%s: k1 and k2 failed.\n", __func__);
rv = 1; goto End;
};
// get Pk i as point
if (!(bnT = BN_bin2bn(&pPubkeys[i * EC_COMPRESSED_SIZE], EC_COMPRESSED_SIZE, bnT))
|| !(ptPk) || !(ptPk = EC_POINT_bn2point(ecGrp, bnT, ptPk, bnCtx)))
{
LogPrintf("%s: extract ptPk failed.\n", __func__);
rv = 1; goto End;
};
// ptT1 = k1 * Pi
if (!EC_POINT_mul(ecGrp, ptT1, NULL, ptPk, bnK1, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptT2 = k2 * G
if (!EC_POINT_mul(ecGrp, ptT2, bnK2, NULL, NULL, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptL = ptT1 + ptT2
if (!EC_POINT_add(ecGrp, ptL, ptT1, ptT2, bnCtx))
{
LogPrintf("%s: EC_POINT_add failed.\n", __func__);
rv = 1; goto End;
};
// ptT3 = Hp(Pi)
if (hashToEC(&pPubkeys[i * EC_COMPRESSED_SIZE], EC_COMPRESSED_SIZE, bnT, ptT3) != 0)
{
LogPrintf("%s: hashToEC failed.\n", __func__);
rv = 1; goto End;
};
// ptT1 = k1 * I
if (!EC_POINT_mul(ecGrp, ptT1, NULL, ptKi, bnK1, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptT2 = k2 * ptT3
if (!EC_POINT_mul(ecGrp, ptT2, NULL, ptT3, bnK2, bnCtx))
{
LogPrintf("%s: EC_POINT_mul failed.\n", __func__);
rv = 1; goto End;
};
// ptR = ptT1 + ptT2
if (!EC_POINT_add(ecGrp, ptR, ptT1, ptT2, bnCtx))
{
LogPrintf("%s: EC_POINT_add failed.\n", __func__);
rv = 1; goto End;
};
memcpy(&pSigc[i * EC_SECRET_SIZE], &scData1.e[0], EC_SECRET_SIZE);
memcpy(&pSigr[i * EC_SECRET_SIZE], &scData2.e[0], EC_SECRET_SIZE);
// sum = (sum + sigc) % N , sigc == bnK1
if (!BN_mod_add(bnSum, bnSum, bnK1, bnOrder, bnCtx))
{
LogPrintf("%s: BN_mod_add failed.\n", __func__);
rv = 1; goto End;
};
};
// -- add ptL and ptR to hash
if ( !(EC_POINT_point2oct(ecGrp, ptL, POINT_CONVERSION_COMPRESSED, &tempData[0], 33, bnCtx) == (int) EC_COMPRESSED_SIZE)
|| !(EC_POINT_point2oct(ecGrp, ptR, POINT_CONVERSION_COMPRESSED, &tempData[33], 33, bnCtx) == (int) EC_COMPRESSED_SIZE))
{
LogPrintf("%s: extract ptL and ptR failed.\n", __func__);
rv = 1; goto End;
};
ssCommitHash.write((const char*)&tempData[0], 66);
};
commitHash = ssCommitHash.GetHash();
if (!(bnH) || !(bnH = BN_bin2bn(commitHash.begin(), EC_SECRET_SIZE, bnH)))
{
LogPrintf("%s: commitHash -> bnH failed.\n", __func__);
rv = 1; goto End;
};
if (!BN_mod(bnH, bnH, bnOrder, bnCtx)) // this is necessary
{
LogPrintf("%s: BN_mod failed.\n", __func__);
rv = 1; goto End;
};
// sigc[nSecretOffset] = (bnH - bnSum) % N
if (!BN_mod_sub(bnT, bnH, bnSum, bnOrder, bnCtx))
{
LogPrintf("%s: BN_mod_sub failed.\n", __func__);
rv = 1; goto End;
};
if ((nBytes = BN_num_bytes(bnT)) > (int)EC_SECRET_SIZE
|| BN_bn2bin(bnT, &pSigc[nSecretOffset * EC_SECRET_SIZE + (EC_SECRET_SIZE-nBytes)]) != nBytes)
{
LogPrintf("%s: bnT -> pSigc failed.\n", __func__);
rv = 1; goto End;
};
// sigr[nSecretOffset] = (bnKS - sigc[nSecretOffset] * bnSecret) % N
// reuse bnH for bnSecret
if (!bnH || !(BN_bin2bn(&secret.e[0], EC_SECRET_SIZE, bnH)))
{
LogPrintf("%s: BN_bin2bn failed.\n", __func__);
rv = 1; goto End;
};
// bnT = sigc[nSecretOffset] * bnSecret , TODO: mod N ?
if (!BN_mul(bnT, bnT, bnH, bnCtx))
{
LogPrintf("%s: BN_mul failed.\n", __func__);
rv = 1; goto End;
};
if (!BN_mod_sub(bnT, bnKS, bnT, bnOrder, bnCtx))
{
LogPrintf("%s: BN_mod_sub failed.\n", __func__);
rv = 1; goto End;
};
if ((nBytes = BN_num_bytes(bnT)) > (int) EC_SECRET_SIZE
|| BN_bn2bin(bnT, &pSigr[nSecretOffset * EC_SECRET_SIZE + (EC_SECRET_SIZE-nBytes)]) != nBytes)
{
LogPrintf("%s: bnT -> pSigr failed.\n", __func__);
rv = 1; goto End;
};
End:
EC_POINT_free(ptT1);
EC_POINT_free(ptT2);
EC_POINT_free(ptT3);
EC_POINT_free(ptPk);
EC_POINT_free(ptKi);
EC_POINT_free(ptL);
EC_POINT_free(ptR);
BN_CTX_end(bnCtx);
return rv;
};
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 SM2_do_decrypt(const EVP_MD *kdf_md, const EVP_MD *mac_md,
const SM2_CIPHERTEXT_VALUE *cv, unsigned char *out, size_t *outlen,
EC_KEY *ec_key)
{
int ret = 0;
const EC_GROUP *ec_group = EC_KEY_get0_group(ec_key);
const BIGNUM *pri_key = EC_KEY_get0_private_key(ec_key);
KDF_FUNC kdf = KDF_get_x9_63(kdf_md);
EC_POINT *point = NULL;
BIGNUM *n = NULL;
BIGNUM *h = NULL;
BN_CTX *bn_ctx = NULL;
EVP_MD_CTX *md_ctx = NULL;
unsigned char buf[(OPENSSL_ECC_MAX_FIELD_BITS + 7)/4 + 1];
unsigned char mac[EVP_MAX_MD_SIZE];
unsigned int maclen;
int nbytes;
size_t size;
int i;
OPENSSL_assert(kdf_md && mac_md && cv && ec_key);
OPENSSL_assert(cv->ephem_point && cv->ciphertext);
if (!ec_group || !pri_key) {
goto end;
}
if (!kdf) {
goto end;
}
if (!out) {
*outlen = cv->ciphertext_size;
return 1;
}
if (*outlen < cv->ciphertext_size) {
goto end;
}
/* init vars */
point = EC_POINT_new(ec_group);
n = BN_new();
h = BN_new();
bn_ctx = BN_CTX_new();
md_ctx = EVP_MD_CTX_create();
if (!point || !n || !h || !bn_ctx || !md_ctx) {
goto end;
}
/* init ec domain parameters */
if (!EC_GROUP_get_order(ec_group, n, bn_ctx)) {
goto end;
}
if (!EC_GROUP_get_cofactor(ec_group, h, bn_ctx)) {
goto end;
}
nbytes = (EC_GROUP_get_degree(ec_group) + 7) / 8;
//OPENSSL_assert(nbytes == BN_num_bytes(n));
#if 0
/* check sm2 curve and md is 256 bits */
OPENSSL_assert(nbytes == 32);
OPENSSL_assert(EVP_MD_size(kdf_md) == 32);
OPENSSL_assert(EVP_MD_size(mac_md) == 32);
#endif
/* B2: check [h]C1 != O */
if (!EC_POINT_mul(ec_group, point, NULL, cv->ephem_point, h, bn_ctx)) {
goto end;
}
if (EC_POINT_is_at_infinity(ec_group, point)) {
goto end;
}
/* B3: compute ECDH [d]C1 = (x2, y2) */
if (!EC_POINT_mul(ec_group, point, NULL, cv->ephem_point, pri_key, bn_ctx)) {
goto end;
}
if (!(size = EC_POINT_point2oct(ec_group, point,
POINT_CONVERSION_UNCOMPRESSED, buf, sizeof(buf), bn_ctx))) {
goto end;
}
OPENSSL_assert(size == 1 + nbytes * 2);
/* B4: compute t = KDF(x2 || y2, clen) */
*outlen = cv->ciphertext_size; //FIXME: duplicated code
kdf(buf + 1, size - 1, out, outlen);
/* B5: compute M = C2 xor t */
for (i = 0; i < cv->ciphertext_size; i++) {
out[i] ^= cv->ciphertext[i];
}
*outlen = cv->ciphertext_size;
/* B6: check Hash(x2 || M || y2) == C3 */
if (!EVP_DigestInit_ex(md_ctx, mac_md, NULL)) {
goto end;
}
if (!EVP_DigestUpdate(md_ctx, buf + 1, nbytes)) {
goto end;
}
if (!EVP_DigestUpdate(md_ctx, out, *outlen)) {
goto end;
}
if (!EVP_DigestUpdate(md_ctx, buf + 1 + nbytes, nbytes)) {
goto end;
}
if (!EVP_DigestFinal_ex(md_ctx, mac, &maclen)) {
goto end;
}
if (cv->mactag_size != maclen ||
memcmp(cv->mactag, mac, maclen)) {
goto end;
}
ret = 1;
end:
if (point) EC_POINT_free(point);
if (n) BN_free(n);
if (h) BN_free(h);
if (bn_ctx) BN_CTX_free(bn_ctx);
if (md_ctx) EVP_MD_CTX_destroy(md_ctx);
return ret;
}
int GOST_KEY_check_key(const GOST_KEY *key)
{
int ok = 0;
BN_CTX *ctx = NULL;
BIGNUM *order = NULL;
EC_POINT *point = NULL;
if (!key || !key->group || !key->pub_key) {
GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if (EC_POINT_is_at_infinity(key->group, key->pub_key)) {
GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, EC_R_POINT_AT_INFINITY);
goto err;
}
if ((ctx = BN_CTX_new()) == NULL)
goto err;
if ((point = EC_POINT_new(key->group)) == NULL)
goto err;
/* testing whether the pub_key is on the elliptic curve */
if (EC_POINT_is_on_curve(key->group, key->pub_key, ctx) <= 0) {
GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, EC_R_POINT_IS_NOT_ON_CURVE);
goto err;
}
/* testing whether pub_key * order is the point at infinity */
if ((order = BN_new()) == NULL)
goto err;
if (!EC_GROUP_get_order(key->group, order, ctx)) {
GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, EC_R_INVALID_GROUP_ORDER);
goto err;
}
if (!EC_POINT_mul(key->group, point, NULL, key->pub_key, order, ctx)) {
GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_is_at_infinity(key->group, point)) {
GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, EC_R_WRONG_ORDER);
goto err;
}
/*
* in case the priv_key is present : check if generator * priv_key ==
* pub_key
*/
if (key->priv_key) {
if (BN_cmp(key->priv_key, order) >= 0) {
GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, EC_R_WRONG_ORDER);
goto err;
}
if (!EC_POINT_mul(key->group, point, key->priv_key, NULL, NULL, ctx)) {
GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, ERR_R_EC_LIB);
goto err;
}
if (EC_POINT_cmp(key->group, point, key->pub_key, ctx) != 0) {
GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, EC_R_INVALID_PRIVATE_KEY);
goto err;
}
}
ok = 1;
err:
BN_free(order);
BN_CTX_free(ctx);
EC_POINT_free(point);
return (ok);
}
int
ecdh_gm_compute_key(PACE_CTX * ctx, const BUF_MEM * s, const BUF_MEM * in,
BN_CTX *bn_ctx)
{
int ret = 0;
BUF_MEM * mem_h = NULL;
BIGNUM * bn_s = NULL, *order = NULL, *cofactor = NULL;
EC_POINT * ecp_h = NULL, *ecp_g = NULL;
const ECDH_METHOD *default_method;
EC_GROUP *group = NULL;
EC_KEY *static_key = NULL, *ephemeral_key = NULL;
BN_CTX_start(bn_ctx);
check((ctx && ctx->static_key && s && ctx->ka_ctx), "Invalid arguments");
static_key = EVP_PKEY_get1_EC_KEY(ctx->static_key);
check(static_key, "could not get key object");
/* Extract group parameters */
group = EC_GROUP_dup(EC_KEY_get0_group(static_key));
order = BN_CTX_get(bn_ctx);
cofactor = BN_CTX_get(bn_ctx);
check(group && cofactor, "internal error");
if (!EC_GROUP_get_order(group, order, bn_ctx)
|| !EC_GROUP_get_cofactor(group, cofactor, bn_ctx))
goto err;
/* Convert nonce to BIGNUM */
bn_s = BN_bin2bn((unsigned char *) s->data, s->length, bn_s);
if (!bn_s)
goto err;
default_method = ECDH_get_default_method();
ECDH_set_default_method(ECDH_OpenSSL_Point());
/* complete the ECDH and get the resulting point h */
mem_h = ecdh_compute_key(ctx->static_key, in, bn_ctx);
ECDH_set_default_method(default_method);
ecp_h = EC_POINT_new(group);
if (!mem_h || !ecp_h || !EC_POINT_oct2point(group, ecp_h,
(unsigned char *) mem_h->data, mem_h->length, bn_ctx))
goto err;
/* map to new generator */
ecp_g = EC_POINT_new(group);
/* g' = g*s + h*1 */
if (!EC_POINT_mul(group, ecp_g, bn_s, ecp_h, BN_value_one(), bn_ctx))
goto err;
/* Initialize ephemeral parameters with parameters from the static key */
ephemeral_key = EC_KEY_dup(static_key);
if (!ephemeral_key)
goto err;
EVP_PKEY_set1_EC_KEY(ctx->ka_ctx->key, ephemeral_key);
/* configure the new EC_KEY */
if (!EC_GROUP_set_generator(group, ecp_g, order, cofactor)
|| !EC_GROUP_check(group, bn_ctx)
|| !EC_KEY_set_group(ephemeral_key, group))
goto err;
ret = 1;
err:
if (ecp_g)
EC_POINT_clear_free(ecp_g);
if (ecp_h)
EC_POINT_clear_free(ecp_h);
if (mem_h)
BUF_MEM_free(mem_h);
if (bn_s)
BN_clear_free(bn_s);
BN_CTX_end(bn_ctx);
/* Decrement reference count, keys are still available via PACE_CTX */
if (static_key)
EC_KEY_free(static_key);
if (ephemeral_key)
EC_KEY_free(ephemeral_key);
if (group)
EC_GROUP_clear_free(group);
return ret;
}
// Perform ECDSA key recovery (see SEC1 4.1.6) for curves over (mod p)-fields
// recid selects which key is recovered
// if check is non-zero, additional checks are performed
int ECDSA_SIG_recover_key_GFp(EC_KEY *eckey, ECDSA_SIG *ecsig, const unsigned char *msg, int msglen, int recid, int check)
{
if (!eckey) return 0;
int ret = 0;
BN_CTX *ctx = NULL;
BIGNUM *x = NULL;
BIGNUM *e = NULL;
BIGNUM *order = NULL;
BIGNUM *sor = NULL;
BIGNUM *eor = NULL;
BIGNUM *field = NULL;
EC_POINT *R = NULL;
EC_POINT *O = NULL;
EC_POINT *Q = NULL;
BIGNUM *rr = NULL;
BIGNUM *zero = NULL;
int n = 0;
int i = recid / 2;
const EC_GROUP *group = EC_KEY_get0_group(eckey);
if ((ctx = BN_CTX_new()) == NULL) { ret = -1; goto err; }
BN_CTX_start(ctx);
order = BN_CTX_get(ctx);
if (!EC_GROUP_get_order(group, order, ctx)) { ret = -2; goto err; }
x = BN_CTX_get(ctx);
if (!BN_copy(x, order)) { ret=-1; goto err; }
if (!BN_mul_word(x, i)) { ret=-1; goto err; }
if (!BN_add(x, x, ecsig->r)) { ret=-1; goto err; }
field = BN_CTX_get(ctx);
if (!EC_GROUP_get_curve_GFp(group, field, NULL, NULL, ctx)) { ret=-2; goto err; }
if (BN_cmp(x, field) >= 0) { ret=0; goto err; }
if ((R = EC_POINT_new(group)) == NULL) { ret = -2; goto err; }
if (!EC_POINT_set_compressed_coordinates_GFp(group, R, x, recid % 2, ctx)) { ret=0; goto err; }
if (check)
{
if ((O = EC_POINT_new(group)) == NULL) { ret = -2; goto err; }
if (!EC_POINT_mul(group, O, NULL, R, order, ctx)) { ret=-2; goto err; }
if (!EC_POINT_is_at_infinity(group, O)) { ret = 0; goto err; }
}
if ((Q = EC_POINT_new(group)) == NULL) { ret = -2; goto err; }
n = EC_GROUP_get_degree(group);
e = BN_CTX_get(ctx);
if (!BN_bin2bn(msg, msglen, e)) { ret=-1; goto err; }
if (8*msglen > n) BN_rshift(e, e, 8-(n & 7));
zero = BN_CTX_get(ctx);
if (!BN_zero(zero)) { ret=-1; goto err; }
if (!BN_mod_sub(e, zero, e, order, ctx)) { ret=-1; goto err; }
rr = BN_CTX_get(ctx);
if (!BN_mod_inverse(rr, ecsig->r, order, ctx)) { ret=-1; goto err; }
sor = BN_CTX_get(ctx);
if (!BN_mod_mul(sor, ecsig->s, rr, order, ctx)) { ret=-1; goto err; }
eor = BN_CTX_get(ctx);
if (!BN_mod_mul(eor, e, rr, order, ctx)) { ret=-1; goto err; }
if (!EC_POINT_mul(group, Q, eor, R, sor, ctx)) { ret=-2; goto err; }
if (!EC_KEY_set_public_key(eckey, Q)) { ret=-2; goto err; }
ret = 1;
err:
if (ctx) {
BN_CTX_end(ctx);
BN_CTX_free(ctx);
}
if (R != NULL) EC_POINT_free(R);
if (O != NULL) EC_POINT_free(O);
if (Q != NULL) EC_POINT_free(Q);
return ret;
}
static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
{
clock_t clck;
int i, j;
BIGNUM *s;
BIGNUM *r[10], *r0[10];
EC_POINT *P;
s = BN_new();
if (s == NULL) ABORT;
fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
fflush(stdout);
P = EC_POINT_new(group);
if (P == NULL) ABORT;
EC_POINT_copy(P, EC_GROUP_get0_generator(group));
for (i = 0; i < 10; i++)
{
if ((r[i] = BN_new()) == NULL) ABORT;
if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
if (type != TIMING_BASE_PT)
{
if ((r0[i] = BN_new()) == NULL) ABORT;
if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
}
}
clck = clock();
for (i = 0; i < 10; i++)
{
for (j = 0; j < 10; j++)
{
if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL,
(type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT;
}
}
clck = clock() - clck;
fprintf(stdout, "\n");
#ifdef CLOCKS_PER_SEC
/* "To determine the time in seconds, the value returned
* by the clock function should be divided by the value
* of the macro CLOCKS_PER_SEC."
* -- ISO/IEC 9899 */
# define UNIT "s"
#else
/* "`CLOCKS_PER_SEC' undeclared (first use this function)"
* -- cc on NeXTstep/OpenStep */
# define UNIT "units"
# define CLOCKS_PER_SEC 1
#endif
if (type == TIMING_BASE_PT) {
fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
"base point multiplications", (double)clck/CLOCKS_PER_SEC);
} else if (type == TIMING_RAND_PT) {
fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
"random point multiplications", (double)clck/CLOCKS_PER_SEC);
} else if (type == TIMING_SIMUL) {
fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
"s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC);
}
fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
EC_POINT_free(P);
BN_free(s);
for (i = 0; i < 10; i++)
{
BN_free(r[i]);
if (type != TIMING_BASE_PT) BN_free(r0[i]);
}
}
int EC_KEY_check_key(const EC_KEY *eckey)
{
int ok = 0;
BN_CTX *ctx = NULL;
const BIGNUM *order = NULL;
EC_POINT *point = NULL;
if (!eckey || !eckey->group || !eckey->pub_key)
{
ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if ((ctx = BN_CTX_new()) == NULL)
goto err;
if ((point = EC_POINT_new(eckey->group)) == NULL)
goto err;
/* testing whether the pub_key is on the elliptic curve */
if (!EC_POINT_is_on_curve(eckey->group, eckey->pub_key, ctx))
{
ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_POINT_IS_NOT_ON_CURVE);
goto err;
}
/* testing whether pub_key * order is the point at infinity */
order = &eckey->group->order;
if (BN_is_zero(order))
{
ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_INVALID_GROUP_ORDER);
goto err;
}
if (!EC_POINT_mul(eckey->group, point, NULL, eckey->pub_key, order, ctx))
{
ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_is_at_infinity(eckey->group, point))
{
ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_WRONG_ORDER);
goto err;
}
/* in case the priv_key is present :
* check if generator * priv_key == pub_key
*/
if (eckey->priv_key)
{
if (BN_cmp(eckey->priv_key, order) >= 0)
{
ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_WRONG_ORDER);
goto err;
}
if (!EC_POINT_mul(eckey->group, point, eckey->priv_key,
NULL, NULL, ctx))
{
ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_EC_LIB);
goto err;
}
if (EC_POINT_cmp(eckey->group, point, eckey->pub_key,
ctx) != 0)
{
ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_INVALID_PRIVATE_KEY);
goto err;
}
}
ok = 1;
err:
if (ctx != NULL)
BN_CTX_free(ctx);
if (point != NULL)
EC_POINT_free(point);
return(ok);
}
void prime_field_tests()
{
BN_CTX *ctx = NULL;
BIGNUM *p, *a, *b;
EC_GROUP *group;
EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
EC_POINT *P, *Q, *R;
BIGNUM *x, *y, *z;
unsigned char buf[100];
size_t i, len;
int k;
#if 1 /* optional */
ctx = BN_CTX_new();
if (!ctx) ABORT;
#endif
p = BN_new();
a = BN_new();
b = BN_new();
if (!p || !a || !b) ABORT;
if (!BN_hex2bn(&p, "17")) ABORT;
if (!BN_hex2bn(&a, "1")) ABORT;
if (!BN_hex2bn(&b, "1")) ABORT;
group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
* so that the library gets to choose the EC_METHOD */
if (!group) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
{
EC_GROUP *tmp;
tmp = EC_GROUP_new(EC_GROUP_method_of(group));
if (!tmp) ABORT;
if (!EC_GROUP_copy(tmp, group)) ABORT;
EC_GROUP_free(group);
group = tmp;
}
if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
BN_print_fp(stdout, p);
fprintf(stdout, ")\n a = 0x");
BN_print_fp(stdout, a);
fprintf(stdout, "\n b = 0x");
BN_print_fp(stdout, b);
fprintf(stdout, "\n");
P = EC_POINT_new(group);
Q = EC_POINT_new(group);
R = EC_POINT_new(group);
if (!P || !Q || !R) ABORT;
if (!EC_POINT_set_to_infinity(group, P)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
buf[0] = 0;
if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
x = BN_new();
y = BN_new();
z = BN_new();
if (!x || !y || !z) ABORT;
if (!BN_hex2bn(&x, "D")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, Q, ctx))
{
if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
fprintf(stderr, "Point is not on curve: x = 0x");
BN_print_fp(stderr, x);
fprintf(stderr, ", y = 0x");
BN_print_fp(stderr, y);
fprintf(stderr, "\n");
ABORT;
}
fprintf(stdout, "A cyclic subgroup:\n");
k = 100;
do
{
if (k-- == 0) ABORT;
if (EC_POINT_is_at_infinity(group, P))
fprintf(stdout, " point at infinity\n");
else
{
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, " x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, ", y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
}
if (!EC_POINT_copy(R, P)) ABORT;
if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
#if 0 /* optional */
{
EC_POINT *points[3];
points[0] = R;
points[1] = Q;
points[2] = P;
if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
}
#endif
}
while (!EC_POINT_is_at_infinity(group, P));
if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "Generator as octect string, compressed form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "\nGenerator as octect string, uncompressed form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "\nGenerator as octect string, hybrid form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, ", Y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, ", Z = 0x");
BN_print_fp(stdout, z);
fprintf(stdout, "\n");
if (!EC_POINT_invert(group, P, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
/* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
* -- not a NIST curve, but commonly used */
if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, "\n y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
fprintf(stdout, "verify degree ...");
if (EC_GROUP_get_degree(group) != 160) ABORT;
fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, " ok\n");
if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_160, group)) ABORT;
/* Curve P-192 (FIPS PUB 186-2, App. 6) */
if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, "\n y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
fprintf(stdout, "verify degree ...");
if (EC_GROUP_get_degree(group) != 192) ABORT;
fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
#if 0
if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, " ok\n");
if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_192, group)) ABORT;
/* Curve P-224 (FIPS PUB 186-2, App. 6) */
if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, "\n y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
fprintf(stdout, "verify degree ...");
if (EC_GROUP_get_degree(group) != 224) ABORT;
fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
#if 0
if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, " ok\n");
if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_224, group)) ABORT;
/* Curve P-256 (FIPS PUB 186-2, App. 6) */
if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
"84F3B9CAC2FC632551")) ABORT;
if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, "\n y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
fprintf(stdout, "verify degree ...");
if (EC_GROUP_get_degree(group) != 256) ABORT;
fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
#if 0
if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, " ok\n");
if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_256, group)) ABORT;
/* Curve P-384 (FIPS PUB 186-2, App. 6) */
if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
"120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
"9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, "\n y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
"7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
fprintf(stdout, "verify degree ...");
if (EC_GROUP_get_degree(group) != 384) ABORT;
fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
#if 0
if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, " ok\n");
if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_384, group)) ABORT;
/* Curve P-521 (FIPS PUB 186-2, App. 6) */
if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
"315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
"DF883D2C34F1EF451FD46B503F00")) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
"B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
"3C1856A429BF97E7E31C2E5BD66")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
"C9B8899C47AEBB6FB71E91386409")) ABORT;
if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, "\n y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
"B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
"7086A272C24088BE94769FD16650")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
fprintf(stdout, "verify degree ...");
if (EC_GROUP_get_degree(group) != 521) ABORT;
fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
#if 0
if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, " ok\n");
if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_521, group)) ABORT;
/* more tests using the last curve */
if (!EC_POINT_copy(Q, P)) ABORT;
if (EC_POINT_is_at_infinity(group, Q)) ABORT;
if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
{
const EC_POINT *points[3];
const BIGNUM *scalars[3];
if (EC_POINT_is_at_infinity(group, Q)) ABORT;
points[0] = Q;
points[1] = Q;
points[2] = Q;
if (!BN_add(y, z, BN_value_one())) ABORT;
if (BN_is_odd(y)) ABORT;
if (!BN_rshift1(y, y)) ABORT;
scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
scalars[1] = y;
fprintf(stdout, "combined multiplication ...");
fflush(stdout);
/* z is still the group order */
if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
if (!BN_add(z, z, y)) ABORT;
BN_set_negative(z, 1);
scalars[0] = y;
scalars[1] = z; /* z = -(order + y) */
if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
if (!BN_add(z, x, y)) ABORT;
BN_set_negative(z, 1);
scalars[0] = x;
scalars[1] = y;
scalars[2] = z; /* z = -(x+y) */
if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
fprintf(stdout, " ok\n\n");
}
#if 0
timings(P_160, TIMING_BASE_PT, ctx);
timings(P_160, TIMING_RAND_PT, ctx);
timings(P_160, TIMING_SIMUL, ctx);
timings(P_192, TIMING_BASE_PT, ctx);
timings(P_192, TIMING_RAND_PT, ctx);
timings(P_192, TIMING_SIMUL, ctx);
timings(P_224, TIMING_BASE_PT, ctx);
timings(P_224, TIMING_RAND_PT, ctx);
timings(P_224, TIMING_SIMUL, ctx);
timings(P_256, TIMING_BASE_PT, ctx);
timings(P_256, TIMING_RAND_PT, ctx);
timings(P_256, TIMING_SIMUL, ctx);
timings(P_384, TIMING_BASE_PT, ctx);
timings(P_384, TIMING_RAND_PT, ctx);
timings(P_384, TIMING_SIMUL, ctx);
timings(P_521, TIMING_BASE_PT, ctx);
timings(P_521, TIMING_RAND_PT, ctx);
timings(P_521, TIMING_SIMUL, ctx);
#endif
if (ctx)
BN_CTX_free(ctx);
BN_free(p); BN_free(a); BN_free(b);
EC_GROUP_free(group);
EC_POINT_free(P);
EC_POINT_free(Q);
EC_POINT_free(R);
BN_free(x); BN_free(y); BN_free(z);
if (P_160) EC_GROUP_free(P_160);
if (P_192) EC_GROUP_free(P_192);
if (P_224) EC_GROUP_free(P_224);
if (P_256) EC_GROUP_free(P_256);
if (P_384) EC_GROUP_free(P_384);
if (P_521) EC_GROUP_free(P_521);
}
static int ecdsa_do_verify(const unsigned char *dgst, int dgst_len,
const ECDSA_SIG *sig, EC_KEY *eckey)
{
int ret = -1, i;
BN_CTX *ctx;
BIGNUM *order, *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) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ECDSA_R_MISSING_PARAMETERS);
return -1;
}
ctx = BN_CTX_new();
if (!ctx) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_MALLOC_FAILURE);
return -1;
}
BN_CTX_start(ctx);
order = BN_CTX_get(ctx);
u1 = BN_CTX_get(ctx);
u2 = BN_CTX_get(ctx);
m = BN_CTX_get(ctx);
X = BN_CTX_get(ctx);
if (!X) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB);
goto err;
}
if (!EC_GROUP_get_order(group, order, ctx)) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, 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) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ECDSA_R_BAD_SIGNATURE);
ret = 0; /* signature is invalid */
goto err;
}
/* calculate tmp1 = inv(S) mod order */
if (!BN_mod_inverse(u2, sig->s, order, ctx)) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, 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)) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, 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))) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB);
goto err;
}
/* u1 = m * tmp mod order */
if (!BN_mod_mul(u1, m, u2, order, ctx)) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB);
goto err;
}
/* u2 = r * w mod q */
if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB);
goto err;
}
if ((point = EC_POINT_new(group)) == NULL) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_MALLOC_FAILURE);
goto err;
}
if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, 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)) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, 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)) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB);
goto err;
}
}
#endif
if (!BN_nnmod(u1, X, order, ctx)) {
ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, 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;
}
static int extract_ec_params(CPK_MASTER_SECRET *master, CPK_PUBLIC_PARAMS *param)
{
int ret = 0;
EC_KEY *ec_key = NULL;
const EC_GROUP *ec_group;
BIGNUM *bn = BN_new();
BIGNUM *order = BN_new();
BN_CTX *ctx = BN_CTX_new();
EC_POINT *pt = NULL;
int i, bn_size, pt_size, num_factors;
const unsigned char *bn_ptr;
unsigned char *pt_ptr;
if (!bn || !order || !ctx) {
goto err;
}
if (!(ec_key = X509_ALGOR_get1_EC_KEY(master->pkey_algor))) {
goto err;
}
ec_group = EC_KEY_get0_group(ec_key);
if (!(EC_GROUP_get_order(ec_group, order, ctx))) {
goto err;
}
bn_size = BN_num_bytes(order);
pt_size = bn_size + 1;
if ((num_factors = CPK_MAP_num_factors(master->map_algor)) <= 0) {
goto err;
}
if (M_ASN1_STRING_length(master->secret_factors) != bn_size * num_factors) {
goto err;
}
if (!ASN1_STRING_set(param->public_factors, NULL, pt_size * num_factors)) {
goto err;
}
bn_ptr = M_ASN1_STRING_data(master->secret_factors);
pt_ptr = M_ASN1_STRING_data(param->public_factors);
memset(pt_ptr, 0, M_ASN1_STRING_length(param->public_factors));
if (!(pt = EC_POINT_new(ec_group))) {
goto err;
}
for (i = 0; i < num_factors; i++) {
if (!BN_bin2bn(bn_ptr, bn_size, bn)) {
goto err;
}
if (BN_is_zero(bn) || BN_cmp(bn, order) >= 0) {
goto err;
}
if (!EC_POINT_mul(ec_group, pt, bn, NULL, NULL, ctx)) {
goto err;
}
if (!EC_POINT_point2oct(ec_group, pt,
POINT_CONVERSION_COMPRESSED, pt_ptr, pt_size, ctx)) {
goto err;
}
bn_ptr += bn_size;
pt_ptr += pt_size;
}
ret = 1;
err:
if (ec_key) EC_KEY_free(ec_key);
if (bn) BN_free(bn);
if (order) BN_free(order);
if (ctx) BN_CTX_free(ctx);
if (pt) EC_POINT_free(pt);
return ret;
}
/* creates a bitcoin address+private key from the SHA256
* hash of string. converts to base58 if base58 is 'true'
* returns 1 if successful, 0 if not*/
int create_address_from_string(const unsigned char *string,
unsigned char *address,
unsigned char *priv_key,
EC_GROUP *precompgroup,
bool base58,
bool debug) {
u_int8_t * hash = malloc(SHA256_DIGEST_LENGTH);
BIGNUM * n = BN_new();
//first we hash the string
SHA256 (string, strlen(string), hash);
//then we convert the hash to the BIGNUM n
n = BN_bin2bn(hash, SHA256_DIGEST_LENGTH, n);
BIGNUM * order = BN_new();
BIGNUM * nmodorder = BN_new();
BN_CTX *bnctx;
bnctx = BN_CTX_new();
//then we create a new EC group with the curve secp256k1
EC_GROUP * pgroup;
pgroup = EC_GROUP_new_by_curve_name(NID_secp256k1);
if (!pgroup) {
printf("ERROR: Couldn't get new group\n");
return 0;
}
//now we need to get the order of the group, and make sure that
//the number we use for the private key is less than or equal to
//the group order by using "nmodorder = n % order"
EC_GROUP_get_order(pgroup, order, NULL);
BN_mod(nmodorder, n, order, bnctx);
if (BN_is_zero(nmodorder)) {
printf("ERROR: SHA256(string) % order == 0. Pick another string.\n");
return 0;
}
if (debug)
printf ("Secret number: %s\n", BN_bn2dec(nmodorder));
//now we create a new EC point, ecpoint, and place in it the secp256k1
//generator point multiplied by nmodorder. this newly created
//point is the public key
EC_POINT * ecpoint = EC_POINT_new(pgroup);
if (!EC_POINT_mul(pgroup, ecpoint, nmodorder, NULL, NULL, NULL))
{
printf("ERROR: Couldn't multiply the generator point with n\n");
return 0;
}
if (debug) {
BIGNUM *x=NULL, *y=NULL;
x=BN_new();
y=BN_new();
if (!EC_POINT_get_affine_coordinates_GFp(pgroup, ecpoint, x, y, NULL)) {
printf("ERROR: Failed getting coordinates.");
//don't fail on debug fail
//return 0;
}
printf ("Public key coordinates. x: %s, y: %s\n", BN_bn2dec(x), BN_bn2dec(y));
BN_free(x);
BN_free(y);
}
//then we need to convert the public key point to data
//first we get the required size of the buffer in which the data is placed
//by passing NULL as the buffer argument to EC_POINT_point2oct
unsigned int bufsize = EC_POINT_point2oct (pgroup, ecpoint, POINT_CONVERSION_UNCOMPRESSED, NULL, 0, NULL);
u_int8_t * buffer = malloc(bufsize);
//then we place the data in the buffer
int len = EC_POINT_point2oct (pgroup, ecpoint, POINT_CONVERSION_UNCOMPRESSED, buffer, bufsize, NULL);
if (len == 0) {
printf("ERROR: Couldn't convert point to octet string.");
return 0;
}
if (debug) {
printf("DER encoded public key: ");
print_hex(buffer, len);
}
//next we need to hash the public key data. first with SHA256, then with RIPEMD160
SHA256(buffer, len, hash);
if (debug) {
printf("SHA256 hash of public key: ");
print_hex(hash, SHA256_DIGEST_LENGTH);
}
u_int8_t * ripemd = malloc(RIPEMD160_DIGEST_LENGTH+1+4);
RIPEMD160(hash, SHA256_DIGEST_LENGTH, ripemd);
if (debug) {
printf("RIPEMD160 hash of SHA256 hash: ");
print_hex(ripemd, RIPEMD160_DIGEST_LENGTH);
}
if (base58 == true) {
//here we add the version byte to the beginning of the public key and four checksum
//bytes at the end
prepare_for_address(ripemd, RIPEMD160_DIGEST_LENGTH, 0);
if (debug) {
printf("Address in hex with version byte and checksum: ");
print_hex(ripemd, RIPEMD160_DIGEST_LENGTH+1+4);
}
//and we convert the resulting data to base58
base58_encode(ripemd, RIPEMD160_DIGEST_LENGTH+1+4, address);
} else {
memcpy(address, ripemd, RIPEMD160_DIGEST_LENGTH);
}
//now we need to convert the big number nmodorder (private key) to data
int buflen = BN_num_bytes(nmodorder);
u_int8_t * buf = malloc(buflen+1+4);
int datalen;
//nmodorder is converted to binary representation
datalen = BN_bn2bin(nmodorder, buf);
if (debug) {
printf("Private key: ");
print_hex(buf, datalen);
}
if (base58 == true) {
//and we add version byte and four byte checksum to the data
prepare_for_address(buf, datalen, 0x80);
//and convert this to base58
base58_encode(buf, datalen+5, priv_key);
} else {
memcpy(priv_key, buf, datalen+5);
}
free(hash);
free(buffer);
free(ripemd);
free(buf);
BN_free(n);
BN_free(order);
BN_free(nmodorder);
if (precompgroup == NULL)
EC_GROUP_free(pgroup);
EC_POINT_free(ecpoint);
BN_CTX_free(bnctx);
return 1;
}
static EC_KEY *extract_ec_priv_key(CPK_MASTER_SECRET *master, const char *id)
{
int e = 1;
EC_KEY *ec_key = NULL;
const EC_GROUP *ec_group;
EC_POINT *pub_key = NULL;
BIGNUM *priv_key = BN_new();
BIGNUM *order = BN_new();
BIGNUM *bn = BN_new();
BN_CTX *ctx = BN_CTX_new();
int *index = NULL;
int i, num_indexes, bn_size;
if (!priv_key || !bn || !order || !ctx) {
goto err;
}
if (!(ec_key = X509_ALGOR_get1_EC_KEY(master->pkey_algor))) {
goto err;
}
ec_group = EC_KEY_get0_group(ec_key);
if (!(pub_key = EC_POINT_new(ec_group))) {
goto err;
}
if ((num_indexes = CPK_MAP_num_indexes(master->map_algor)) <= 0) {
goto err;
}
if (!(index = OPENSSL_malloc(sizeof(int) * num_indexes))) {
goto err;
}
if (!CPK_MAP_str2index(master->map_algor, id, index)) {
goto err;
}
BN_zero(priv_key);
if (!(EC_GROUP_get_order(EC_KEY_get0_group(ec_key), order, ctx))) {
goto err;
}
bn_size = BN_num_bytes(order);
for (i = 0; i < num_indexes; i++) {
const unsigned char *p =
M_ASN1_STRING_data(master->secret_factors) +
bn_size * index[i];
if (!BN_bin2bn(p, bn_size, bn)) {
goto err;
}
if (BN_is_zero(bn) || BN_cmp(bn, order) >= 0) {
goto err;
}
if (!BN_mod_add(priv_key, priv_key, bn, order, ctx)) {
goto err;
}
}
if (!EC_KEY_set_private_key(ec_key, priv_key)) {
goto err;
}
if (!EC_POINT_mul(ec_group, pub_key, priv_key, NULL, NULL, ctx)) {
goto err;
}
if (!EC_KEY_set_public_key(ec_key, pub_key)) {
goto err;
}
e = 0;
err:
if (e && ec_key) {
EC_KEY_free(ec_key);
ec_key = NULL;
}
if (priv_key) BN_free(priv_key);
if (pub_key) EC_POINT_free(pub_key);
if (order) BN_free(order);
if (bn) BN_free(bn);
if (ctx) BN_CTX_free(ctx);
if (index) OPENSSL_free(index);
return ec_key;
}
void *
vg_thread_loop(void *arg)
{
unsigned char hash_buf[128];
unsigned char *eckey_buf;
unsigned char hash1[32];
int i, c, len, output_interval;
int hash_len;
const BN_ULONG rekey_max = 10000000;
BN_ULONG npoints, rekey_at, nbatch;
vg_context_t *vcp = (vg_context_t *) arg;
EC_KEY *pkey = NULL;
const EC_GROUP *pgroup;
const EC_POINT *pgen;
const int ptarraysize = 256;
EC_POINT *ppnt[ptarraysize];
EC_POINT *pbatchinc;
vg_test_func_t test_func = vcp->vc_test;
vg_exec_context_t ctx;
vg_exec_context_t *vxcp;
struct timeval tvstart;
memset(&ctx, 0, sizeof(ctx));
vxcp = &ctx;
vg_exec_context_init(vcp, &ctx);
pkey = vxcp->vxc_key;
pgroup = EC_KEY_get0_group(pkey);
pgen = EC_GROUP_get0_generator(pgroup);
for (i = 0; i < ptarraysize; i++) {
ppnt[i] = EC_POINT_new(pgroup);
if (!ppnt[i]) {
fprintf(stderr, "ERROR: out of memory?\n");
exit(1);
}
}
pbatchinc = EC_POINT_new(pgroup);
if (!pbatchinc) {
fprintf(stderr, "ERROR: out of memory?\n");
exit(1);
}
BN_set_word(&vxcp->vxc_bntmp, ptarraysize);
EC_POINT_mul(pgroup, pbatchinc, &vxcp->vxc_bntmp, NULL, NULL,
vxcp->vxc_bnctx);
EC_POINT_make_affine(pgroup, pbatchinc, vxcp->vxc_bnctx);
npoints = 0;
rekey_at = 0;
nbatch = 0;
vxcp->vxc_key = pkey;
vxcp->vxc_binres[0] = vcp->vc_addrtype;
c = 0;
output_interval = 1000;
gettimeofday(&tvstart, NULL);
if (vcp->vc_format == VCF_SCRIPT) {
hash_buf[ 0] = 0x51; // OP_1
hash_buf[ 1] = 0x41; // pubkey length
// gap for pubkey
hash_buf[67] = 0x51; // OP_1
hash_buf[68] = 0xae; // OP_CHECKMULTISIG
eckey_buf = hash_buf + 2;
hash_len = 69;
} else {
eckey_buf = hash_buf;
hash_len = 65;
}
while (!vcp->vc_halt) {
if (++npoints >= rekey_at) {
vg_exec_context_upgrade_lock(vxcp);
/* Generate a new random private key */
EC_KEY_generate_key(pkey);
npoints = 0;
/* Determine rekey interval */
EC_GROUP_get_order(pgroup, &vxcp->vxc_bntmp,
vxcp->vxc_bnctx);
BN_sub(&vxcp->vxc_bntmp2,
&vxcp->vxc_bntmp,
EC_KEY_get0_private_key(pkey));
rekey_at = BN_get_word(&vxcp->vxc_bntmp2);
if ((rekey_at == BN_MASK2) || (rekey_at > rekey_max))
rekey_at = rekey_max;
assert(rekey_at > 0);
EC_POINT_copy(ppnt[0], EC_KEY_get0_public_key(pkey));
vg_exec_context_downgrade_lock(vxcp);
npoints++;
vxcp->vxc_delta = 0;
if (vcp->vc_pubkey_base)
EC_POINT_add(pgroup,
ppnt[0],
ppnt[0],
vcp->vc_pubkey_base,
vxcp->vxc_bnctx);
for (nbatch = 1;
(nbatch < ptarraysize) && (npoints < rekey_at);
nbatch++, npoints++) {
EC_POINT_add(pgroup,
ppnt[nbatch],
ppnt[nbatch-1],
pgen, vxcp->vxc_bnctx);
}
} else {
/*
* Common case
*
* EC_POINT_add() can skip a few multiplies if
* one or both inputs are affine (Z_is_one).
* This is the case for every point in ppnt, as
* well as pbatchinc.
*/
assert(nbatch == ptarraysize);
for (nbatch = 0;
(nbatch < ptarraysize) && (npoints < rekey_at);
nbatch++, npoints++) {
EC_POINT_add(pgroup,
ppnt[nbatch],
ppnt[nbatch],
pbatchinc,
vxcp->vxc_bnctx);
}
}
/*
* The single most expensive operation performed in this
* loop is modular inversion of ppnt->Z. There is an
* algorithm implemented in OpenSSL to do batched inversion
* that only does one actual BN_mod_inverse(), and saves
* a _lot_ of time.
*
* To take advantage of this, we batch up a few points,
* and feed them to EC_POINTs_make_affine() below.
*/
EC_POINTs_make_affine(pgroup, nbatch, ppnt, vxcp->vxc_bnctx);
for (i = 0; i < nbatch; i++, vxcp->vxc_delta++) {
/* Hash the public key */
len = EC_POINT_point2oct(pgroup, ppnt[i],
POINT_CONVERSION_UNCOMPRESSED,
eckey_buf,
65,
vxcp->vxc_bnctx);
assert(len == 65);
SHA256(hash_buf, hash_len, hash1);
RIPEMD160(hash1, sizeof(hash1), &vxcp->vxc_binres[1]);
switch (test_func(vxcp)) {
case 1:
npoints = 0;
rekey_at = 0;
i = nbatch;
break;
case 2:
goto out;
default:
break;
}
}
c += i;
if (c >= output_interval) {
output_interval = vg_output_timing(vcp, c, &tvstart);
if (output_interval > 250000)
output_interval = 250000;
c = 0;
}
vg_exec_context_yield(vxcp);
}
out:
vg_exec_context_del(&ctx);
vg_context_thread_exit(vcp);
for (i = 0; i < ptarraysize; i++)
if (ppnt[i])
EC_POINT_free(ppnt[i]);
if (pbatchinc)
EC_POINT_free(pbatchinc);
return NULL;
}
static int eckey_priv_decode(EVP_PKEY *pkey, PKCS8_PRIV_KEY_INFO *p8)
{
const unsigned char *p = NULL;
void *pval;
int ptype, pklen;
EC_KEY *eckey = NULL;
X509_ALGOR *palg;
if (!PKCS8_pkey_get0(NULL, &p, &pklen, &palg, p8))
return 0;
X509_ALGOR_get0(NULL, &ptype, &pval, palg);
eckey = eckey_type2param(ptype, pval);
if (!eckey)
goto ecliberr;
/* We have parameters now set private key */
if (!d2i_ECPrivateKey(&eckey, &p, pklen))
{
ECerr(EC_F_ECKEY_PRIV_DECODE, EC_R_DECODE_ERROR);
goto ecerr;
}
/* calculate public key (if necessary) */
if (EC_KEY_get0_public_key(eckey) == NULL)
{
const BIGNUM *priv_key;
const EC_GROUP *group;
EC_POINT *pub_key;
/* the public key was not included in the SEC1 private
* key => calculate the public key */
group = EC_KEY_get0_group(eckey);
pub_key = EC_POINT_new(group);
if (pub_key == NULL)
{
ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
goto ecliberr;
}
if (!EC_POINT_copy(pub_key, EC_GROUP_get0_generator(group)))
{
EC_POINT_free(pub_key);
ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
goto ecliberr;
}
priv_key = EC_KEY_get0_private_key(eckey);
if (!EC_POINT_mul(group, pub_key, priv_key, NULL, NULL, NULL))
{
EC_POINT_free(pub_key);
ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
goto ecliberr;
}
if (EC_KEY_set_public_key(eckey, pub_key) == 0)
{
EC_POINT_free(pub_key);
ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
goto ecliberr;
}
EC_POINT_free(pub_key);
}
EVP_PKEY_assign_EC_KEY(pkey, eckey);
return 1;
ecliberr:
ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
ecerr:
if (eckey)
EC_KEY_free(eckey);
return 0;
}
int StealthSecretSpend(ec_secret& scanSecret, ec_point& ephemPubkey, ec_secret& spendSecret, ec_secret& secretOut)
{
/*
c = H(dP)
R' = R + cG [without decrypting wallet]
= (f + c)G [after decryption of wallet]
Remember: mod curve.order, pad with 0x00s where necessary?
*/
int rv = 0;
std::vector<uint8_t> vchOutP;
BN_CTX* bnCtx = NULL;
BIGNUM* bnScanSecret = NULL;
BIGNUM* bnP = NULL;
EC_POINT* P = NULL;
BIGNUM* bnOutP = NULL;
BIGNUM* bnc = NULL;
BIGNUM* bnOrder = NULL;
BIGNUM* bnSpend = NULL;
EC_GROUP* ecgrp = EC_GROUP_new_by_curve_name(NID_secp256k1);
if (!ecgrp)
{
printf("StealthSecretSpend(): EC_GROUP_new_by_curve_name failed.\n");
return 1;
};
if (!(bnCtx = BN_CTX_new()))
{
printf("StealthSecretSpend(): BN_CTX_new failed.\n");
rv = 1;
goto End;
};
if (!(bnScanSecret = BN_bin2bn(&scanSecret.e[0], ec_secret_size, BN_new())))
{
printf("StealthSecretSpend(): bnScanSecret BN_bin2bn failed.\n");
rv = 1;
goto End;
};
if (!(bnP = BN_bin2bn(&ephemPubkey[0], ephemPubkey.size(), BN_new())))
{
printf("StealthSecretSpend(): bnP BN_bin2bn failed\n");
rv = 1;
goto End;
};
if (!(P = EC_POINT_bn2point(ecgrp, bnP, NULL, bnCtx)))
{
printf("StealthSecretSpend(): P EC_POINT_bn2point failed\n");
rv = 1;
goto End;
};
// -- dP
if (!EC_POINT_mul(ecgrp, P, NULL, P, bnScanSecret, bnCtx))
{
printf("StealthSecretSpend(): dP EC_POINT_mul failed\n");
rv = 1;
goto End;
};
if (!(bnOutP = EC_POINT_point2bn(ecgrp, P, POINT_CONVERSION_COMPRESSED, BN_new(), bnCtx)))
{
printf("StealthSecretSpend(): P EC_POINT_bn2point failed\n");
rv = 1;
goto End;
};
vchOutP.resize(ec_compressed_size);
if (BN_num_bytes(bnOutP) != (int) ec_compressed_size
|| BN_bn2bin(bnOutP, &vchOutP[0]) != (int) ec_compressed_size)
{
printf("StealthSecretSpend(): bnOutP incorrect length.\n");
rv = 1;
goto End;
};
uint8_t hash1[32];
SHA256(&vchOutP[0], vchOutP.size(), (uint8_t*)hash1);
if (!(bnc = BN_bin2bn(&hash1[0], 32, BN_new())))
{
printf("StealthSecretSpend(): BN_bin2bn failed\n");
rv = 1;
goto End;
};
if (!(bnOrder = BN_new())
|| !EC_GROUP_get_order(ecgrp, bnOrder, bnCtx))
{
printf("StealthSecretSpend(): EC_GROUP_get_order failed\n");
rv = 1;
goto End;
};
if (!(bnSpend = BN_bin2bn(&spendSecret.e[0], ec_secret_size, BN_new())))
{
printf("StealthSecretSpend(): bnSpend BN_bin2bn failed.\n");
rv = 1;
goto End;
};
//if (!BN_add(r, a, b)) return 0;
//return BN_nnmod(r, r, m, ctx);
if (!BN_mod_add(bnSpend, bnSpend, bnc, bnOrder, bnCtx))
{
printf("StealthSecretSpend(): bnSpend BN_mod_add failed.\n");
rv = 1;
goto End;
};
if (BN_is_zero(bnSpend)) // possible?
{
printf("StealthSecretSpend(): bnSpend is zero.\n");
rv = 1;
goto End;
};
if (BN_num_bytes(bnSpend) != (int) ec_secret_size
|| BN_bn2bin(bnSpend, &secretOut.e[0]) != (int) ec_secret_size)
{
printf("StealthSecretSpend(): bnSpend incorrect length.\n");
rv = 1;
goto End;
};
End:
if (bnSpend) BN_free(bnSpend);
if (bnOrder) BN_free(bnOrder);
if (bnc) BN_free(bnc);
if (bnOutP) BN_free(bnOutP);
if (P) EC_POINT_free(P);
if (bnP) BN_free(bnP);
if (bnScanSecret) BN_free(bnScanSecret);
if (bnCtx) BN_CTX_free(bnCtx);
EC_GROUP_free(ecgrp);
return rv;
};
int
MKEM_generate_message_u(const MKEM *kp, const BIGNUM *uraw, uint8_t pad,
uint8_t *secret, uint8_t *message)
{
BIGNUM u, x, y;
int use_curve0 = (BN_cmp(uraw, kp->params->n0) < 0);
const EC_GROUP *ca;
const EC_POINT *ga;
const EC_POINT *pa;
EC_POINT *q = 0, *r = 0;
size_t mlen = kp->params->msgsize;
int rv;
BN_init(&u);
BN_init(&x);
BN_init(&y);
if (use_curve0) {
ca = kp->params->c0;
ga = kp->params->g0;
pa = kp->p0;
FAILZ(BN_copy(&u, uraw));
} else {
ca = kp->params->c1;
ga = kp->params->g1;
pa = kp->p1;
FAILZ(BN_sub(&u, uraw, kp->params->n0));
FAILZ(BN_add(&u, &u, BN_value_one()));
}
FAILZ(q = EC_POINT_new(ca));
FAILZ(r = EC_POINT_new(ca));
FAILZ(EC_POINT_mul(ca, q, 0, ga, &u, kp->params->ctx));
FAILZ(EC_POINT_mul(ca, r, 0, pa, &u, kp->params->ctx));
FAILZ(EC_POINT_get_affine_coordinates_GF2m(ca, q, &x, &y, kp->params->ctx));
if (bn2bin_padhi(&x, message, mlen) != mlen)
goto fail;
if (message[0] & (kp->params->pad_mask|kp->params->curve_bit)) /* see below */
goto fail;
memcpy(secret, message, mlen);
FAILZ(EC_POINT_get_affine_coordinates_GF2m(ca, r, &x, &y, kp->params->ctx));
if (bn2bin_padhi(&x, secret + mlen, mlen) != mlen)
goto fail;
/* K high bits of the message will be zero. Fill in the high K-1
of them with random bits from the pad, and use the lowest bit
to identify the curve in use. That bit will have a bias on the
order of 2^{-d/2} where d is the bit-degree of the curve; 2^{-81}
for the only curve presently implemented. This is acceptably
small since an elliptic curve of d bits gives only about d/2 bits
of security anyway, and is much better than allowing a timing
attack via the recipient having to attempt point decompression
twice for curve 1 but only once for curve 0 (or, alternatively,
doubling the time required for all decryptions). */
pad &= kp->params->pad_mask;
pad |= (use_curve0 ? 0 : kp->params->curve_bit);
message[0] |= pad;
rv = 0;
done:
BN_clear(&u);
BN_clear(&x);
BN_clear(&y);
if (q) EC_POINT_clear_free(q);
if (r) EC_POINT_clear_free(r);
return rv;
fail:
memset(message, 0, mlen);
memset(secret, 0, mlen * 2);
rv = -1;
goto done;
}