/*
-Blind-ID library for user identification using RSA blind signatures
-Copyright (C) 2010 Rudolf Polzer
-
-This library is free software; you can redistribute it and/or
-modify it under the terms of the GNU Lesser General Public
-License as published by the Free Software Foundation; either
-version 2.1 of the License, or (at your option) any later version.
-
-This library is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
-Lesser General Public License for more details.
-
-You should have received a copy of the GNU Lesser General Public
-License along with this library; if not, write to the Free Software
-Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
-*/
+ * FILE: d0_blind_id.c
+ * AUTHOR: Rudolf Polzer - divVerent@xonotic.org
+ *
+ * Copyright (c) 2010, Rudolf Polzer
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. Neither the name of the copyright holder nor the names of contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTOR(S) ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTOR(S) BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $Format:commit %H$
+ * $Id$
+ */
#include "d0_blind_id.h"
#include "d0_bignum.h"
#include "sha2.h"
+// old "positive" protocol, uses one extra mod_inv in verify stages
+// #define D0_BLIND_ID_POSITIVE_PROTOCOL
+
// our SHA is SHA-256
#define SHA_DIGESTSIZE 32
-const char *sha(const char *in, size_t len)
+const char *sha(const unsigned char *in, size_t len)
{
static char h[32];
- d0_blind_id_util_sha256(h, in, len);
+ d0_blind_id_util_sha256(h, (const char *) in, len);
return h;
}
size_t msglen; // message length
};
+//#define CHECKDEBUG
+#ifdef CHECKDEBUG
+#define CHECK(x) do { if(!(x)) { fprintf(stderr, "CHECK FAILED (%s:%d): %s\n", __FILE__, __LINE__, #x); goto fail; } } while(0)
+#define CHECK_ASSIGN(var, value) do { d0_bignum_t *val; val = value; if(!val) { fprintf(stderr, "CHECK FAILED (%s:%d): %s\n", __FILE__, __LINE__, #value); goto fail; } var = val; } while(0)
+#else
#define CHECK(x) do { if(!(x)) goto fail; } while(0)
#define CHECK_ASSIGN(var, value) do { d0_bignum_t *val; val = value; if(!val) goto fail; var = val; } while(0)
-#define MPCHECK(x) do { if(!failed) if(!(x)) failed = 1; } while(0)
-#define MPCHECK_ASSIGN(var, value) do { if(!failed) { d0_bignum_t *val; val = value; if(val) var = val; else failed = 1; } } while(0)
+#endif
#define USING(x) if(!(ctx->x)) return 0
#define REPLACING(x)
static d0_bignum_t *zero, *one, *four, *temp0, *temp1, *temp2, *temp3, *temp4;
-void d0_blind_id_INITIALIZE(void)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_INITIALIZE(void)
{
- d0_bignum_INITIALIZE();
+ CHECK(d0_bignum_INITIALIZE());
CHECK_ASSIGN(zero, d0_bignum_int(zero, 0));
CHECK_ASSIGN(one, d0_bignum_int(one, 1));
CHECK_ASSIGN(four, d0_bignum_int(four, 4));
CHECK_ASSIGN(temp2, d0_bignum_int(temp2, 0));
CHECK_ASSIGN(temp3, d0_bignum_int(temp3, 0));
CHECK_ASSIGN(temp4, d0_bignum_int(temp4, 0));
+ return 1;
fail:
- ;
+ return 0;
}
void d0_blind_id_SHUTDOWN(void)
return NULL;
}
-BOOL d0_dl_generate_key(size_t size, d0_bignum_t *G)
+D0_BOOL d0_dl_generate_key(size_t size, d0_bignum_t *G)
{
// using: temp0
if(size < 16)
return 0;
}
-BOOL d0_rsa_generate_key(size_t size, const d0_bignum_t *challenge, d0_bignum_t *d, d0_bignum_t *n)
+D0_BOOL d0_rsa_generate_key(size_t size, const d0_bignum_t *challenge, d0_bignum_t *d, d0_bignum_t *n)
{
// uses temp0 to temp4
int fail = 0;
return 0;
}
-BOOL d0_rsa_generate_key_fastreject(size_t size, d0_fastreject_function reject, d0_blind_id_t *ctx, void *pass)
+D0_BOOL d0_rsa_generate_key_fastreject(size_t size, d0_fastreject_function reject, d0_blind_id_t *ctx, void *pass)
{
// uses temp0 to temp4
int fail = 0;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_longhash_destructive(d0_bignum_t *clobberme, char *outbuf, size_t outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_longhash_destructive(unsigned char *convbuf, size_t sz, unsigned char *outbuf, size_t outbuflen)
{
- d0_iobuf_t *out = NULL;
- static unsigned char convbuf[1024];
- size_t n, sz;
+ size_t n, i;
n = outbuflen;
while(n > SHA_DIGESTSIZE)
{
- sz = (d0_bignum_size(clobberme) + 7) / 8;
- CHECK(d0_bignum_export_unsigned(clobberme, convbuf, sizeof(convbuf)) >= 0);
memcpy(outbuf, sha(convbuf, sz), SHA_DIGESTSIZE);
outbuf += SHA_DIGESTSIZE;
n -= SHA_DIGESTSIZE;
- CHECK(d0_bignum_add(clobberme, clobberme, one));
+ for(i = 0; i < sz; ++i)
+ if(++convbuf[i])
+ break; // stop until no carry
}
- sz = (d0_bignum_size(clobberme) + 7) / 8;
- CHECK(d0_bignum_export_unsigned(clobberme, convbuf, sizeof(convbuf)) >= 0);
memcpy(outbuf, sha(convbuf, sz), n);
return 1;
+}
+
+D0_WARN_UNUSED_RESULT D0_BOOL d0_longhash_bignum(const d0_bignum_t *in, unsigned char *outbuf, size_t outbuflen)
+{
+ static unsigned char convbuf[1024];
+ size_t sz;
+
+ CHECK(d0_bignum_export_unsigned(in, convbuf, sizeof(convbuf)) >= 0);
+ sz = (d0_bignum_size(in) + 7) / 8;
+ CHECK(d0_longhash_destructive(convbuf, sz, outbuf, outbuflen));
+ return 1;
fail:
return 0;
memset(ctx, 0, sizeof(*ctx));
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_copy(d0_blind_id_t *ctx, const d0_blind_id_t *src)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_copy(d0_blind_id_t *ctx, const d0_blind_id_t *src)
{
d0_blind_id_clear(ctx);
if(src->rsa_n) CHECK_ASSIGN(ctx->rsa_n, d0_bignum_mov(NULL, src->rsa_n));
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_generate_private_key_fastreject(d0_blind_id_t *ctx, int k, d0_fastreject_function reject, void *pass)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_generate_private_key_fastreject(d0_blind_id_t *ctx, int k, d0_fastreject_function reject, void *pass)
{
REPLACING(rsa_e); REPLACING(rsa_d); REPLACING(rsa_n);
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_generate_private_key(d0_blind_id_t *ctx, int k)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_generate_private_key(d0_blind_id_t *ctx, int k)
{
return d0_blind_id_generate_private_key_fastreject(ctx, k, NULL, NULL);
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_read_private_key(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_read_private_key(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
{
d0_iobuf_t *in = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_read_public_key(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_read_public_key(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
{
d0_iobuf_t *in = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_write_private_key(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_write_private_key(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
{
d0_iobuf_t *out = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_write_public_key(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_write_public_key(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
{
d0_iobuf_t *out = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_fingerprint64_public_key(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_fingerprint64_public_key(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
{
d0_iobuf_t *out = NULL;
static unsigned char convbuf[2048];
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_generate_private_id_modulus(d0_blind_id_t *ctx)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_generate_private_id_modulus(d0_blind_id_t *ctx)
{
USING(rsa_n);
REPLACING(schnorr_G);
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_read_private_id_modulus(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_read_private_id_modulus(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
{
d0_iobuf_t *in = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_write_private_id_modulus(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_write_private_id_modulus(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
{
d0_iobuf_t *out = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_generate_private_id_start(d0_blind_id_t *ctx)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_generate_private_id_start(d0_blind_id_t *ctx)
{
// temps: temp0 = order
USING(schnorr_G);
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_generate_private_id_request(d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_generate_private_id_request(d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
{
d0_iobuf_t *out = NULL;
- static unsigned char convbuf[2048], shabuf[2048];
+ static unsigned char shabuf[2048];
size_t sz;
// temps: temp0 rsa_blind_signature_camouflage^challenge, temp1 (4^s)*rsa_blind_signature_camouflage^challenge
sz = (d0_bignum_size(ctx->rsa_n) + 7) / 8; // this is too long, so we have to take the value % rsa_n when "decrypting"
if(sz > sizeof(shabuf))
sz = sizeof(shabuf);
- CHECK(d0_longhash_destructive(temp2, shabuf, sz));
+ CHECK(d0_longhash_bignum(temp2, shabuf, sz));
CHECK(d0_bignum_import_unsigned(temp2, shabuf, sz));
// hash complete
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_answer_private_id_request(const d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen, char *outbuf, size_t *outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_answer_private_id_request(const d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen, char *outbuf, size_t *outbuflen)
{
d0_iobuf_t *in = NULL;
d0_iobuf_t *out = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_finish_private_id_request(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_finish_private_id_request(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
{
d0_iobuf_t *in = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_read_private_id_request_camouflage(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_read_private_id_request_camouflage(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
{
d0_iobuf_t *in = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_write_private_id_request_camouflage(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_write_private_id_request_camouflage(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
{
d0_iobuf_t *out = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_read_private_id(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_read_private_id(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
{
d0_iobuf_t *in = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_read_public_id(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_read_public_id(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
{
d0_iobuf_t *in = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_write_private_id(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_write_private_id(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
{
d0_iobuf_t *out = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_write_public_id(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_write_public_id(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
{
d0_iobuf_t *out = NULL;
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_authenticate_with_private_id_start(d0_blind_id_t *ctx, BOOL is_first, BOOL send_modulus, char *msg, size_t msglen, char *outbuf, size_t *outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_authenticate_with_private_id_start(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL send_modulus, const char *msg, size_t msglen, char *outbuf, size_t *outbuflen)
// start =
// first run: send 4^s, 4^s signature
// 1. get random r, send HASH(4^r)
static unsigned char convbuf[1024];
d0_iobuf_t *conv = NULL;
size_t sz = 0;
- BOOL failed = 0;
+ D0_BOOL failed = 0;
// temps: temp0 order, temp0 4^r
if(is_first)
// start schnorr ID scheme
// generate random number r; x = g^r; send hash of x, remember r, forget x
CHECK(d0_dl_get_order(temp0, ctx->schnorr_G));
+#ifdef RNG_XKCD
+ CHECK_ASSIGN(ctx->r, d0_bignum_int(ctx->r, 4)); // decided by fair dice roll
+#else
CHECK_ASSIGN(ctx->r, d0_bignum_rand_range(ctx->r, zero, temp0));
- //CHECK(d0_bignum_mod_pow(temp0, four, ctx->r, ctx->schnorr_G));
+#endif
// initialize Signed Diffie Hellmann
// we already have the group order in temp1
+#ifdef RNG_XKCD
+ CHECK_ASSIGN(ctx->t, d0_bignum_int(ctx->t, 4)); // decided by fair dice roll
+#else
CHECK_ASSIGN(ctx->t, d0_bignum_rand_range(ctx->t, zero, temp0));
+#endif
// can we SOMEHOW do this with just one mod_pow?
-#pragma omp parallel default(shared) reduction(||:failed)
-#pragma omp sections
- {
-#pragma omp section
- {
- MPCHECK(d0_bignum_mod_pow(temp0, four, ctx->r, ctx->schnorr_G));
- }
-#pragma omp section
- {
- MPCHECK_ASSIGN(ctx->g_to_t, d0_bignum_mod_pow(ctx->g_to_t, four, ctx->t, ctx->schnorr_G));
- }
- }
+ CHECK(d0_bignum_mod_pow(temp0, four, ctx->r, ctx->schnorr_G));
+ CHECK_ASSIGN(ctx->g_to_t, d0_bignum_mod_pow(ctx->g_to_t, four, ctx->t, ctx->schnorr_G));
CHECK(!failed);
// hash it, hash it, everybody hash it
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_authenticate_with_private_id_challenge(d0_blind_id_t *ctx, BOOL is_first, BOOL recv_modulus, const char *inbuf, size_t inbuflen, char *outbuf, size_t *outbuflen, BOOL *status)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_authenticate_with_private_id_challenge(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL recv_modulus, const char *inbuf, size_t inbuflen, char *outbuf, size_t *outbuflen, D0_BOOL *status)
// first run: get 4^s, 4^s signature
// 1. check sig
// 2. save HASH(4^r)
sz = (d0_bignum_size(ctx->rsa_n) + 7) / 8; // this is too long, so we have to take the value % rsa_n when "decrypting"
if(sz > sizeof(shabuf))
sz = sizeof(shabuf);
- CHECK(d0_longhash_destructive(temp2, shabuf, sz));
+ CHECK(d0_longhash_bignum(temp2, shabuf, sz));
CHECK(d0_bignum_import_unsigned(temp2, shabuf, sz));
// + 7 / 8 is too large, so let's mod it
CHECK(d0_iobuf_read_packet(in, ctx->msg, &ctx->msglen));
// send challenge
+#ifdef RNG_XKCD
+ CHECK_ASSIGN(ctx->challenge, d0_bignum_int(ctx->challenge, 4)); // decided by fair dice roll
+#else
CHECK_ASSIGN(ctx->challenge, d0_bignum_rand_bit_atmost(ctx->challenge, SCHNORR_BITS));
+#endif
CHECK(d0_iobuf_write_bignum(out, ctx->challenge));
// Diffie Hellmann send
CHECK(d0_dl_get_order(temp0, ctx->schnorr_G));
+#ifdef RNG_XKCD
+ CHECK_ASSIGN(ctx->t, d0_bignum_int(ctx->t, 4)); // decided by fair dice roll
+#else
CHECK_ASSIGN(ctx->t, d0_bignum_rand_range(ctx->t, zero, temp0));
+#endif
CHECK(d0_bignum_mod_pow(temp0, four, ctx->t, ctx->schnorr_G));
CHECK(d0_iobuf_write_bignum(out, temp0));
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_authenticate_with_private_id_response(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen, char *outbuf, size_t *outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_authenticate_with_private_id_response(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen, char *outbuf, size_t *outbuflen)
// 1. read challenge challenge of SCHNORR_BITS
// 2. reply with r + s * challenge mod order
{
// i.challenge. r + ctx->schnorr_s * temp3
CHECK(d0_dl_get_order(temp0, ctx->schnorr_G));
CHECK(d0_bignum_mod_mul(temp1, ctx->schnorr_s, temp3, temp0));
- CHECK(d0_bignum_mod_add(temp2, temp1, ctx->r, temp0));
+#ifdef D0_BLIND_ID_POSITIVE_PROTOCOL
+ CHECK(d0_bignum_mod_add(temp2, ctx->r, temp1, temp0));
+#else
+ CHECK(d0_bignum_mod_sub(temp2, ctx->r, temp1, temp0));
+#endif
CHECK(d0_iobuf_write_bignum(out, temp2));
// Diffie Hellmann recv
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_authenticate_with_private_id_verify(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen, char *msg, size_t *msglen, BOOL *status)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_authenticate_with_private_id_verify(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen, char *msg, size_t *msglen, D0_BOOL *status)
// 1. read y = r + s * challenge mod order
// 2. verify: g^y (g^s)^-challenge = g^(r+s*challenge-s*challenge) = g^r
// (check using H(g^r) which we know)
CHECK(d0_bignum_cmp(temp0, temp1) < 0);
// verify schnorr ID scheme
+#ifdef D0_BLIND_ID_POSITIVE_PROTOCOL
// we need 4^r = 4^temp0 (g^s)^-challenge
CHECK(d0_bignum_mod_inv(temp1, ctx->schnorr_g_to_s, ctx->schnorr_G));
CHECK(d0_bignum_mod_pow(temp2, temp1, ctx->challenge, ctx->schnorr_G));
+#else
+ // we need 4^r = 4^temp0 (g^s)^challenge
+ CHECK(d0_bignum_mod_pow(temp2, ctx->schnorr_g_to_s, ctx->challenge, ctx->schnorr_G));
+#endif
CHECK(d0_bignum_mod_pow(temp1, four, temp0, ctx->schnorr_G));
CHECK_ASSIGN(temp3, d0_bignum_mod_mul(temp3, temp1, temp2, ctx->schnorr_G));
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_fingerprint64_public_id(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_authenticate_with_private_id_generate_missing_signature(d0_blind_id_t *ctx)
+{
+ size_t sz;
+ static unsigned char shabuf[2048];
+
+ REPLACING(schnorr_H_g_to_s_signature);
+ USING(schnorr_g_to_s); USING(rsa_d); USING(rsa_n);
+
+ // we will actually sign SHA(4^s) to prevent a malleability attack!
+ CHECK(d0_bignum_mov(temp2, ctx->schnorr_g_to_s));
+ sz = (d0_bignum_size(ctx->rsa_n) + 7) / 8; // this is too long, so we have to take the value % rsa_n when "decrypting"
+ if(sz > sizeof(shabuf))
+ sz = sizeof(shabuf);
+ CHECK(d0_longhash_bignum(temp2, shabuf, sz));
+ CHECK(d0_bignum_import_unsigned(temp2, shabuf, sz));
+
+ // + 7 / 8 is too large, so let's mod it
+ CHECK(d0_bignum_divmod(NULL, temp1, temp2, ctx->rsa_n));
+ CHECK(d0_bignum_mod_pow(ctx->schnorr_H_g_to_s_signature, temp1, ctx->rsa_d, ctx->rsa_n));
+ return 1;
+
+fail:
+ return 0;
+}
+
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_sign_with_private_id_sign_internal(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL send_modulus, D0_BOOL with_msg, const char *message, size_t msglen, char *outbuf, size_t *outbuflen)
+{
+ d0_iobuf_t *out = NULL;
+ static unsigned char convbuf[1024];
+ static unsigned char shabuf[1024];
+ d0_iobuf_t *conv = NULL;
+ size_t sz = 0;
+
+ if(is_first)
+ {
+ USING(schnorr_g_to_s); USING(schnorr_H_g_to_s_signature);
+ }
+ USING(schnorr_G);
+ USING(schnorr_s);
+ REPLACING(r);
+
+ out = d0_iobuf_open_write(outbuf, *outbuflen);
+
+ if(is_first)
+ {
+ // send ID
+ if(send_modulus)
+ CHECK(d0_iobuf_write_bignum(out, ctx->schnorr_G));
+ CHECK(d0_iobuf_write_bignum(out, ctx->schnorr_g_to_s));
+ CHECK(d0_iobuf_write_bignum(out, ctx->schnorr_H_g_to_s_signature));
+ }
+
+ // start schnorr SIGNATURE scheme
+ // generate random number r; x = g^r; send hash of H(m||r), remember r, forget x
+ CHECK(d0_dl_get_order(temp0, ctx->schnorr_G));
+ CHECK_ASSIGN(ctx->r, d0_bignum_rand_range(ctx->r, zero, temp0));
+ CHECK(d0_bignum_mod_pow(temp1, four, ctx->r, ctx->schnorr_G));
+
+ // hash it, hash it, everybody hash it
+ conv = d0_iobuf_open_write(convbuf, sizeof(convbuf));
+ CHECK(d0_iobuf_write_packet(conv, message, msglen));
+ CHECK(d0_iobuf_write_bignum(conv, temp1));
+ d0_iobuf_close(conv, &sz);
+ conv = NULL;
+ CHECK(d0_longhash_destructive(convbuf, sz, shabuf, (d0_bignum_size(temp0) + 7) / 8));
+ CHECK(d0_bignum_import_unsigned(temp2, shabuf, (d0_bignum_size(temp0) + 7) / 8));
+ CHECK(d0_iobuf_write_bignum(out, temp2));
+
+ // multiply with secret, sub k, modulo order
+ CHECK(d0_bignum_mod_mul(temp1, temp2, ctx->schnorr_s, temp0));
+#ifdef D0_BLIND_ID_POSITIVE_PROTOCOL
+ CHECK(d0_bignum_mod_add(temp2, ctx->r, temp1, temp0));
+#else
+ CHECK(d0_bignum_mod_sub(temp2, ctx->r, temp1, temp0));
+#endif
+ CHECK(d0_iobuf_write_bignum(out, temp2));
+
+ // write the message itself
+ if(with_msg)
+ CHECK(d0_iobuf_write_packet(out, message, msglen));
+
+ return d0_iobuf_close(out, outbuflen);
+
+fail:
+ d0_iobuf_close(out, outbuflen);
+ return 0;
+}
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_sign_with_private_id_sign(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL send_modulus, const char *message, size_t msglen, char *outbuf, size_t *outbuflen)
+{
+ return d0_blind_id_sign_with_private_id_sign_internal(ctx, is_first, send_modulus, 1, message, msglen, outbuf, outbuflen);
+}
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_sign_with_private_id_sign_detached(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL send_modulus, const char *message, size_t msglen, char *outbuf, size_t *outbuflen)
+{
+ return d0_blind_id_sign_with_private_id_sign_internal(ctx, is_first, send_modulus, 0, message, msglen, outbuf, outbuflen);
+}
+
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_sign_with_private_id_verify_internal(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL recv_modulus, D0_BOOL with_msg, const char *inbuf, size_t inbuflen, char *msg, size_t *msglen, D0_BOOL *status)
+{
+ d0_iobuf_t *in = NULL;
+ d0_iobuf_t *conv = NULL;
+ static unsigned char convbuf[2048];
+ static unsigned char shabuf[2048];
+ size_t sz;
+
+ if(is_first)
+ {
+ REPLACING(schnorr_g_to_s); REPLACING(schnorr_H_g_to_s_signature);
+ if(recv_modulus)
+ REPLACING(schnorr_G);
+ else
+ USING(schnorr_G);
+ }
+ else
+ {
+ USING(schnorr_g_to_s); USING(schnorr_H_g_to_s_signature);
+ USING(schnorr_G);
+ }
+ USING(rsa_e); USING(rsa_n);
+
+ in = d0_iobuf_open_read(inbuf, inbuflen);
+
+ if(is_first)
+ {
+ if(recv_modulus)
+ {
+ CHECK_ASSIGN(ctx->schnorr_G, d0_iobuf_read_bignum(in, ctx->schnorr_G));
+ CHECK(d0_bignum_cmp(ctx->schnorr_G, zero) > 0);
+ CHECK(d0_bignum_cmp(ctx->schnorr_G, ctx->rsa_n) < 0);
+ }
+ CHECK_ASSIGN(ctx->schnorr_g_to_s, d0_iobuf_read_bignum(in, ctx->schnorr_g_to_s));
+ CHECK(d0_bignum_cmp(ctx->schnorr_g_to_s, zero) >= 0);
+ CHECK(d0_bignum_cmp(ctx->schnorr_g_to_s, ctx->schnorr_G) < 0);
+ CHECK_ASSIGN(ctx->schnorr_H_g_to_s_signature, d0_iobuf_read_bignum(in, ctx->schnorr_H_g_to_s_signature));
+ CHECK(d0_bignum_cmp(ctx->schnorr_H_g_to_s_signature, zero) >= 0);
+ CHECK(d0_bignum_cmp(ctx->schnorr_H_g_to_s_signature, ctx->rsa_n) < 0);
+
+ // check signature of key (t = k^d, so, t^challenge = k)
+ CHECK(d0_bignum_mod_pow(temp0, ctx->schnorr_H_g_to_s_signature, ctx->rsa_e, ctx->rsa_n));
+
+ // we will actually sign SHA(4^s) to prevent a malleability attack!
+ CHECK(d0_bignum_mov(temp2, ctx->schnorr_g_to_s));
+ sz = (d0_bignum_size(ctx->rsa_n) + 7) / 8; // this is too long, so we have to take the value % rsa_n when "decrypting"
+ if(sz > sizeof(shabuf))
+ sz = sizeof(shabuf);
+ CHECK(d0_longhash_bignum(temp2, shabuf, sz));
+ CHECK(d0_bignum_import_unsigned(temp2, shabuf, sz));
+
+ // + 7 / 8 is too large, so let's mod it
+ CHECK(d0_bignum_divmod(NULL, temp1, temp2, ctx->rsa_n));
+
+ // hash complete
+ if(d0_bignum_cmp(temp0, temp1))
+ {
+ // accept the key anyway, but mark as failed signature! will later return 0 in status
+ CHECK(d0_bignum_zero(ctx->schnorr_H_g_to_s_signature));
+ }
+ }
+
+ CHECK(d0_dl_get_order(temp4, ctx->schnorr_G));
+ CHECK(d0_iobuf_read_bignum(in, temp0)); // e == H(m || g^r)
+ CHECK(d0_iobuf_read_bignum(in, temp1)); // x == (r - s*e) mod |G|
+ if(with_msg)
+ CHECK(d0_iobuf_read_packet(in, msg, msglen));
+
+ // VERIFY: g^x * (g^s)^-e = g^(x - s*e) = g^r
+
+ // verify schnorr ID scheme
+ // we need g^r = g^x (g^s)^e
+ CHECK(d0_bignum_mod_pow(temp2, four, temp1, ctx->schnorr_G));
+#ifdef D0_BLIND_ID_POSITIVE_PROTOCOL
+ CHECK(d0_bignum_mod_inv(temp3, ctx->schnorr_g_to_s, ctx->schnorr_G));
+ CHECK(d0_bignum_mod_pow(temp1, temp3, temp0, ctx->schnorr_G));
+#else
+ CHECK(d0_bignum_mod_pow(temp1, ctx->schnorr_g_to_s, temp0, ctx->schnorr_G));
+#endif
+ CHECK_ASSIGN(temp3, d0_bignum_mod_mul(temp3, temp1, temp2, ctx->schnorr_G)); // temp3 now is g^r
+
+ // hash it, hash it, everybody hash it
+ conv = d0_iobuf_open_write(convbuf, sizeof(convbuf));
+ CHECK(d0_iobuf_write_packet(conv, msg, *msglen));
+ CHECK(d0_iobuf_write_bignum(conv, temp3));
+ d0_iobuf_close(conv, &sz);
+ conv = NULL;
+ CHECK(d0_longhash_destructive(convbuf, sz, shabuf, (d0_bignum_size(temp4) + 7) / 8));
+ CHECK(d0_bignum_import_unsigned(temp1, shabuf, (d0_bignum_size(temp4) + 7) / 8));
+
+ // verify signature
+ CHECK(!d0_bignum_cmp(temp0, temp1));
+
+ if(status)
+ *status = !!d0_bignum_cmp(ctx->schnorr_H_g_to_s_signature, zero);
+
+ d0_iobuf_close(in, NULL);
+ return 1;
+
+fail:
+ d0_iobuf_close(in, NULL);
+ return 0;
+}
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_sign_with_private_id_verify(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL recv_modulus, const char *inbuf, size_t inbuflen, char *msg, size_t *msglen, D0_BOOL *status)
+{
+ return d0_blind_id_sign_with_private_id_verify_internal(ctx, is_first, recv_modulus, 1, inbuf, inbuflen, msg, msglen, status);
+}
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_sign_with_private_id_verify_detached(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL recv_modulus, const char *inbuf, size_t inbuflen, const char *msg, size_t msglen, D0_BOOL *status)
+{
+ return d0_blind_id_sign_with_private_id_verify_internal(ctx, is_first, recv_modulus, 0, inbuf, inbuflen, (char *) msg, &msglen, status);
+}
+
+D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_fingerprint64_public_id(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
{
d0_iobuf_t *out = NULL;
static unsigned char convbuf[1024];
d0_iobuf_t *conv = NULL;
size_t sz, n;
+ USING(rsa_n);
+ USING(rsa_e);
USING(schnorr_g_to_s);
out = d0_iobuf_open_write(outbuf, *outbuflen);
conv = d0_iobuf_open_write(convbuf, sizeof(convbuf));
+ CHECK(d0_iobuf_write_bignum(conv, ctx->rsa_n));
+ CHECK(d0_iobuf_write_bignum(conv, ctx->rsa_e));
CHECK(d0_iobuf_write_bignum(conv, ctx->schnorr_g_to_s));
CHECK(d0_iobuf_close(conv, &sz));
conv = NULL;
return 0;
}
-BOOL d0_blind_id_sessionkey_public_id(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
+D0_BOOL d0_blind_id_sessionkey_public_id(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
{
USING(t); USING(other_g_to_t); USING(schnorr_G);
// temps: temp0 result
CHECK(d0_bignum_mod_pow(temp0, ctx->other_g_to_t, ctx->t, ctx->schnorr_G));
- return d0_longhash_destructive(temp0, outbuf, *outbuflen);
+ return d0_longhash_bignum(temp0, (unsigned char *) outbuf, *outbuflen);
fail:
return 0;