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gecko/security/nss/lib/freebl/jpake.c

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/* ***** BEGIN LICENSE BLOCK *****
* Version: MPL 1.1/GPL 2.0/LGPL 2.1
*
* The contents of this file are subject to the Mozilla Public License Version
* 1.1 (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
* http://www.mozilla.org/MPL/
*
* Software distributed under the License is distributed on an "AS IS" basis,
* WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
* for the specific language governing rights and limitations under the
* License.
*
* The Original Code is the Netscape security libraries.
*
* The Initial Developer of the Original Code is Mozilla Fonudation.
* Portions created by the Initial Developer are Copyright (C) 2010
* the Initial Developer. All Rights Reserved.
*
* Contributor(s):
*
* Alternatively, the contents of this file may be used under the terms of
* either the GNU General Public License Version 2 or later (the "GPL"), or
* the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
* in which case the provisions of the GPL or the LGPL are applicable instead
* of those above. If you wish to allow use of your version of this file only
* under the terms of either the GPL or the LGPL, and not to allow others to
* use your version of this file under the terms of the MPL, indicate your
* decision by deleting the provisions above and replace them with the notice
* and other provisions required by the GPL or the LGPL. If you do not delete
* the provisions above, a recipient may use your version of this file under
* the terms of any one of the MPL, the GPL or the LGPL.
*
* ***** END LICENSE BLOCK ***** */
#ifdef FREEBL_NO_DEPEND
#include "stubs.h"
#endif
#include "blapi.h"
#include "secerr.h"
#include "secitem.h"
#include "secmpi.h"
/* Hash an item's length and then its value. Only items smaller than 2^16 bytes
* are allowed. Lengths are hashed in network byte order. This is designed
* to match the OpenSSL J-PAKE implementation.
*/
static mp_err
hashSECItem(HASHContext * hash, const SECItem * it)
{
unsigned char length[2];
if (it->len > 0xffff)
return MP_BADARG;
length[0] = (unsigned char) (it->len >> 8);
length[1] = (unsigned char) (it->len);
hash->hashobj->update(hash->hash_context, length, 2);
hash->hashobj->update(hash->hash_context, it->data, it->len);
return MP_OKAY;
}
/* Hash all public components of the signature, each prefixed with its
length, and then convert the hash to an mp_int. */
static mp_err
hashPublicParams(HASH_HashType hashType, const SECItem * g,
const SECItem * gv, const SECItem * gx,
const SECItem * signerID, mp_int * h)
{
mp_err err;
unsigned char hBuf[HASH_LENGTH_MAX];
SECItem hItem;
HASHContext hash;
hash.hashobj = HASH_GetRawHashObject(hashType);
if (hash.hashobj == NULL || hash.hashobj->length > sizeof hBuf) {
return MP_BADARG;
}
hash.hash_context = hash.hashobj->create();
if (hash.hash_context == NULL) {
return MP_MEM;
}
hItem.data = hBuf;
hItem.len = hash.hashobj->length;
hash.hashobj->begin(hash.hash_context);
CHECK_MPI_OK( hashSECItem(&hash, g) );
CHECK_MPI_OK( hashSECItem(&hash, gv) );
CHECK_MPI_OK( hashSECItem(&hash, gx) );
CHECK_MPI_OK( hashSECItem(&hash, signerID) );
hash.hashobj->end(hash.hash_context, hItem.data, &hItem.len,
sizeof hBuf);
SECITEM_TO_MPINT(hItem, h);
cleanup:
if (hash.hash_context != NULL) {
hash.hashobj->destroy(hash.hash_context, PR_TRUE);
}
return err;
}
/* Generate a Schnorr signature for round 1 or round 2 */
SECStatus
JPAKE_Sign(PLArenaPool * arena, const PQGParams * pqg, HASH_HashType hashType,
const SECItem * signerID, const SECItem * x,
const SECItem * testRandom, const SECItem * gxIn, SECItem * gxOut,
SECItem * gv, SECItem * r)
{
SECStatus rv = SECSuccess;
mp_err err;
mp_int p;
mp_int q;
mp_int g;
mp_int X;
mp_int GX;
mp_int V;
mp_int GV;
mp_int h;
mp_int tmp;
mp_int R;
SECItem v;
if (!arena ||
!pqg || !pqg->prime.data || pqg->prime.len == 0 ||
!pqg->subPrime.data || pqg->subPrime.len == 0 ||
!pqg->base.data || pqg->base.len == 0 ||
!signerID || !signerID->data || signerID->len == 0 ||
!x || !x->data || x->len == 0 ||
(testRandom && (!testRandom->data || testRandom->len == 0)) ||
(gxIn == NULL && (!gxOut || gxOut->data != NULL)) ||
(gxIn != NULL && (!gxIn->data || gxIn->len == 0 || gxOut != NULL)) ||
!gv || gv->data != NULL ||
!r || r->data != NULL) {
PORT_SetError(SEC_ERROR_INVALID_ARGS);
return SECFailure;
}
MP_DIGITS(&p) = 0;
MP_DIGITS(&q) = 0;
MP_DIGITS(&g) = 0;
MP_DIGITS(&X) = 0;
MP_DIGITS(&GX) = 0;
MP_DIGITS(&V) = 0;
MP_DIGITS(&GV) = 0;
MP_DIGITS(&h) = 0;
MP_DIGITS(&tmp) = 0;
MP_DIGITS(&R) = 0;
CHECK_MPI_OK( mp_init(&p) );
CHECK_MPI_OK( mp_init(&q) );
CHECK_MPI_OK( mp_init(&g) );
CHECK_MPI_OK( mp_init(&X) );
CHECK_MPI_OK( mp_init(&GX) );
CHECK_MPI_OK( mp_init(&V) );
CHECK_MPI_OK( mp_init(&GV) );
CHECK_MPI_OK( mp_init(&h) );
CHECK_MPI_OK( mp_init(&tmp) );
CHECK_MPI_OK( mp_init(&R) );
SECITEM_TO_MPINT(pqg->prime, &p);
SECITEM_TO_MPINT(pqg->subPrime, &q);
SECITEM_TO_MPINT(pqg->base, &g);
SECITEM_TO_MPINT(*x, &X);
/* gx = g^x */
if (gxIn == NULL) {
CHECK_MPI_OK( mp_exptmod(&g, &X, &p, &GX) );
MPINT_TO_SECITEM(&GX, gxOut, arena);
gxIn = gxOut;
} else {
SECITEM_TO_MPINT(*gxIn, &GX);
}
/* v is a random value in the q subgroup */
if (testRandom == NULL) {
v.data = NULL;
rv = DSA_NewRandom(arena, &pqg->subPrime, &v);
if (rv != SECSuccess) {
goto cleanup;
}
} else {
v.data = testRandom->data;
v.len = testRandom->len;
}
SECITEM_TO_MPINT(v, &V);
/* gv = g^v (mod q), random v, 1 <= v < q */
CHECK_MPI_OK( mp_exptmod(&g, &V, &p, &GV) );
MPINT_TO_SECITEM(&GV, gv, arena);
/* h = H(g, gv, gx, signerID) */
CHECK_MPI_OK( hashPublicParams(hashType, &pqg->base, gv, gxIn, signerID,
&h) );
/* r = v - x*h (mod q) */
CHECK_MPI_OK( mp_mulmod(&X, &h, &q, &tmp) );
CHECK_MPI_OK( mp_submod(&V, &tmp, &q, &R) );
MPINT_TO_SECITEM(&R, r, arena);
cleanup:
mp_clear(&p);
mp_clear(&q);
mp_clear(&g);
mp_clear(&X);
mp_clear(&GX);
mp_clear(&V);
mp_clear(&GV);
mp_clear(&h);
mp_clear(&tmp);
mp_clear(&R);
if (rv == SECSuccess && err != MP_OKAY) {
MP_TO_SEC_ERROR(err);
rv = SECFailure;
}
return rv;
}
/* Verify a Schnorr signature generated by the peer in round 1 or round 2. */
SECStatus
JPAKE_Verify(PRArenaPool * arena, const PQGParams * pqg, HASH_HashType hashType,
const SECItem * signerID, const SECItem * peerID,
const SECItem * gx, const SECItem * gv, const SECItem * r)
{
SECStatus rv = SECSuccess;
mp_err err;
mp_int p;
mp_int q;
mp_int g;
mp_int p_minus_1;
mp_int GX;
mp_int h;
mp_int one;
mp_int R;
mp_int gr;
mp_int gxh;
mp_int gr_gxh;
SECItem calculated;
if (!arena ||
!pqg || !pqg->prime.data || pqg->prime.len == 0 ||
!pqg->subPrime.data || pqg->subPrime.len == 0 ||
!pqg->base.data || pqg->base.len == 0 ||
!signerID || !signerID->data || signerID->len == 0 ||
!peerID || !peerID->data || peerID->len == 0 ||
!gx || !gx->data || gx->len == 0 ||
!gv || !gv->data || gv->len == 0 ||
!r || !r->data || r->len == 0 ||
SECITEM_CompareItem(signerID, peerID) == SECEqual) {
PORT_SetError(SEC_ERROR_INVALID_ARGS);
return SECFailure;
}
MP_DIGITS(&p) = 0;
MP_DIGITS(&q) = 0;
MP_DIGITS(&g) = 0;
MP_DIGITS(&p_minus_1) = 0;
MP_DIGITS(&GX) = 0;
MP_DIGITS(&h) = 0;
MP_DIGITS(&one) = 0;
MP_DIGITS(&R) = 0;
MP_DIGITS(&gr) = 0;
MP_DIGITS(&gxh) = 0;
MP_DIGITS(&gr_gxh) = 0;
calculated.data = NULL;
CHECK_MPI_OK( mp_init(&p) );
CHECK_MPI_OK( mp_init(&q) );
CHECK_MPI_OK( mp_init(&g) );
CHECK_MPI_OK( mp_init(&p_minus_1) );
CHECK_MPI_OK( mp_init(&GX) );
CHECK_MPI_OK( mp_init(&h) );
CHECK_MPI_OK( mp_init(&one) );
CHECK_MPI_OK( mp_init(&R) );
CHECK_MPI_OK( mp_init(&gr) );
CHECK_MPI_OK( mp_init(&gxh) );
CHECK_MPI_OK( mp_init(&gr_gxh) );
SECITEM_TO_MPINT(pqg->prime, &p);
SECITEM_TO_MPINT(pqg->subPrime, &q);
SECITEM_TO_MPINT(pqg->base, &g);
SECITEM_TO_MPINT(*gx, &GX);
SECITEM_TO_MPINT(*r, &R);
CHECK_MPI_OK( mp_sub_d(&p, 1, &p_minus_1) );
CHECK_MPI_OK( mp_exptmod(&GX, &q, &p, &one) );
/* Check g^x is in [1, p-2], R is in [0, q-1], and (g^x)^q mod p == 1 */
if (!(mp_cmp_z(&GX) > 0 &&
mp_cmp(&GX, &p_minus_1) < 0 &&
mp_cmp(&R, &q) < 0 &&
mp_cmp_d(&one, 1) == 0)) {
goto badSig;
}
CHECK_MPI_OK( hashPublicParams(hashType, &pqg->base, gv, gx, peerID,
&h) );
/* Calculate g^v = g^r * g^x^h */
CHECK_MPI_OK( mp_exptmod(&g, &R, &p, &gr) );
CHECK_MPI_OK( mp_exptmod(&GX, &h, &p, &gxh) );
CHECK_MPI_OK( mp_mulmod(&gr, &gxh, &p, &gr_gxh) );
/* Compare calculated g^v to given g^v */
MPINT_TO_SECITEM(&gr_gxh, &calculated, arena);
if (calculated.len == gv->len &&
NSS_SecureMemcmp(calculated.data, gv->data, calculated.len) == 0) {
rv = SECSuccess;
} else {
badSig: PORT_SetError(SEC_ERROR_BAD_SIGNATURE);
rv = SECFailure;
}
cleanup:
mp_clear(&p);
mp_clear(&q);
mp_clear(&g);
mp_clear(&p_minus_1);
mp_clear(&GX);
mp_clear(&h);
mp_clear(&one);
mp_clear(&R);
mp_clear(&gr);
mp_clear(&gxh);
mp_clear(&gr_gxh);
if (rv == SECSuccess && err != MP_OKAY) {
MP_TO_SEC_ERROR(err);
rv = SECFailure;
}
return rv;
}
/* Calculate base = gx1*gx3*gx4 (mod p), i.e. g^(x1+x3+x4) (mod p) */
static mp_err
jpake_Round2Base(const SECItem * gx1, const SECItem * gx3,
const SECItem * gx4, const mp_int * p, mp_int * base)
{
mp_err err;
mp_int GX1;
mp_int GX3;
mp_int GX4;
mp_int tmp;
MP_DIGITS(&GX1) = 0;
MP_DIGITS(&GX3) = 0;
MP_DIGITS(&GX4) = 0;
MP_DIGITS(&tmp) = 0;
CHECK_MPI_OK( mp_init(&GX1) );
CHECK_MPI_OK( mp_init(&GX3) );
CHECK_MPI_OK( mp_init(&GX4) );
CHECK_MPI_OK( mp_init(&tmp) );
SECITEM_TO_MPINT(*gx1, &GX1);
SECITEM_TO_MPINT(*gx3, &GX3);
SECITEM_TO_MPINT(*gx4, &GX4);
/* In round 2, the peer/attacker sends us g^x3 and g^x4 and the protocol
requires that these values are distinct. */
if (mp_cmp(&GX3, &GX4) == 0) {
return MP_BADARG;
}
CHECK_MPI_OK( mp_mul(&GX1, &GX3, &tmp) );
CHECK_MPI_OK( mp_mul(&tmp, &GX4, &tmp) );
CHECK_MPI_OK( mp_mod(&tmp, p, base) );
cleanup:
mp_clear(&GX1);
mp_clear(&GX3);
mp_clear(&GX4);
mp_clear(&tmp);
return err;
}
SECStatus
JPAKE_Round2(PLArenaPool * arena,
const SECItem * p, const SECItem *q, const SECItem * gx1,
const SECItem * gx3, const SECItem * gx4, SECItem * base,
const SECItem * x2, const SECItem * s, SECItem * x2s)
{
mp_err err;
mp_int P;
mp_int Q;
mp_int X2;
mp_int S;
mp_int result;
if (!arena ||
!p || !p->data || p->len == 0 ||
!q || !q->data || q->len == 0 ||
!gx1 || !gx1->data || gx1->len == 0 ||
!gx3 || !gx3->data || gx3->len == 0 ||
!gx4 || !gx4->data || gx4->len == 0 ||
!base || base->data != NULL ||
(x2s != NULL && (x2s->data != NULL ||
!x2 || !x2->data || x2->len == 0 ||
!s || !s->data || s->len == 0))) {
PORT_SetError(SEC_ERROR_INVALID_ARGS);
return SECFailure;
}
MP_DIGITS(&P) = 0;
MP_DIGITS(&Q) = 0;
MP_DIGITS(&X2) = 0;
MP_DIGITS(&S) = 0;
MP_DIGITS(&result) = 0;
CHECK_MPI_OK( mp_init(&P) );
CHECK_MPI_OK( mp_init(&Q) );
CHECK_MPI_OK( mp_init(&result) );
if (x2s != NULL) {
CHECK_MPI_OK( mp_init(&X2) );
CHECK_MPI_OK( mp_init(&S) );
SECITEM_TO_MPINT(*q, &Q);
SECITEM_TO_MPINT(*x2, &X2);
SECITEM_TO_MPINT(*s, &S);
if (mp_cmp(&S, &Q) >= 0) {
err = MP_BADARG;
goto cleanup;
}
CHECK_MPI_OK( mp_mulmod(&X2, &S, &Q, &result) );
MPINT_TO_SECITEM(&result, x2s, arena);
}
SECITEM_TO_MPINT(*p, &P);
CHECK_MPI_OK( jpake_Round2Base(gx1, gx3, gx4, &P, &result) );
MPINT_TO_SECITEM(&result, base, arena);
cleanup:
mp_clear(&P);
mp_clear(&Q);
mp_clear(&X2);
mp_clear(&S);
mp_clear(&result);
if (err != MP_OKAY) {
MP_TO_SEC_ERROR(err);
return SECFailure;
}
return SECSuccess;
}
SECStatus
JPAKE_Final(PLArenaPool * arena, const SECItem * p, const SECItem * q,
const SECItem * x2, const SECItem * gx4, const SECItem * x2s,
const SECItem * B, SECItem * K)
{
mp_err err;
mp_int P;
mp_int Q;
mp_int tmp;
mp_int exponent;
mp_int divisor;
mp_int base;
if (!arena ||
!p || !p->data || p->len == 0 ||
!q || !q->data || q->len == 0 ||
!x2 || !x2->data || x2->len == 0 ||
!gx4 || !gx4->data || gx4->len == 0 ||
!x2s || !x2s->data || x2s->len == 0 ||
!B || !B->data || B->len == 0 ||
!K || K->data != NULL) {
PORT_SetError(SEC_ERROR_INVALID_ARGS);
return SECFailure;
}
MP_DIGITS(&P) = 0;
MP_DIGITS(&Q) = 0;
MP_DIGITS(&tmp) = 0;
MP_DIGITS(&exponent) = 0;
MP_DIGITS(&divisor) = 0;
MP_DIGITS(&base) = 0;
CHECK_MPI_OK( mp_init(&P) );
CHECK_MPI_OK( mp_init(&Q) );
CHECK_MPI_OK( mp_init(&tmp) );
CHECK_MPI_OK( mp_init(&exponent) );
CHECK_MPI_OK( mp_init(&divisor) );
CHECK_MPI_OK( mp_init(&base) );
/* exponent = -x2s (mod q) */
SECITEM_TO_MPINT(*q, &Q);
SECITEM_TO_MPINT(*x2s, &tmp);
/* q == 0 (mod q), so q - x2s == -x2s (mod q) */
CHECK_MPI_OK( mp_sub(&Q, &tmp, &exponent) );
/* divisor = gx4^-x2s = 1/(gx4^x2s) (mod p) */
SECITEM_TO_MPINT(*p, &P);
SECITEM_TO_MPINT(*gx4, &tmp);
CHECK_MPI_OK( mp_exptmod(&tmp, &exponent, &P, &divisor) );
/* base = B*divisor = B/(gx4^x2s) (mod p) */
SECITEM_TO_MPINT(*B, &tmp);
CHECK_MPI_OK( mp_mulmod(&divisor, &tmp, &P, &base) );
/* tmp = base^x2 (mod p) */
SECITEM_TO_MPINT(*x2, &exponent);
CHECK_MPI_OK( mp_exptmod(&base, &exponent, &P, &tmp) );
MPINT_TO_SECITEM(&tmp, K, arena);
cleanup:
mp_clear(&P);
mp_clear(&Q);
mp_clear(&tmp);
mp_clear(&exponent);
mp_clear(&divisor);
mp_clear(&base);
if (err != MP_OKAY) {
MP_TO_SEC_ERROR(err);
return SECFailure;
}
return SECSuccess;
}
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