d0_bignum_t *schnorr_4_to_s_signature; // 0 when signature is invalid
// temp data
- d0_bignum_t *rn; // random number blind signature
+ d0_bignum_t *rsa_blind_signature_camouflage; // random number blind signature
+
d0_bignum_t *r; // random number for schnorr ID
- char xnbh[SCHNORR_HASHSIZE]; // init hash
- d0_bignum_t *e; // challenge
+ d0_bignum_t *other_4_to_r; // for DH key exchange
+ d0_bignum_t *challenge; // challenge
+
+ char msghash[SCHNORR_HASHSIZE]; // init hash
char msg[MSGSIZE]; // message
size_t msglen; // message length
- d0_bignum_t *other_4_to_r; // for DH key exchange
};
#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 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)
return 0;
}
-BOOL d0_rsa_generate_key(size_t size, const d0_bignum_t *e, d0_bignum_t *d, d0_bignum_t *n)
+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;
if(d0_bignum_isprime(temp0, 10) == 0)
continue;
CHECK(d0_bignum_sub(temp2, temp0, one));
- CHECK(d0_bignum_gcd(temp4, NULL, NULL, temp2, e));
+ CHECK(d0_bignum_gcd(temp4, NULL, NULL, temp2, challenge));
if(!d0_bignum_cmp(temp4, one))
break;
if(++gcdfail == 3)
if(d0_bignum_isprime(temp1, 10) == 0)
continue;
CHECK(d0_bignum_sub(temp3, temp1, one));
- CHECK(d0_bignum_gcd(temp4, NULL, NULL, temp3, e));
+ CHECK(d0_bignum_gcd(temp4, NULL, NULL, temp3, challenge));
if(!d0_bignum_cmp(temp4, one))
break;
if(++gcdfail == 3)
// n = temp0*temp1
CHECK(d0_bignum_mul(n, temp0, temp1));
- // d = e^-1 mod (temp0-1)(temp1-1)
+ // d = challenge^-1 mod (temp0-1)(temp1-1)
CHECK(d0_bignum_mul(temp0, temp2, temp3));
- CHECK(d0_bignum_mod_inv(d, e, temp0));
+ CHECK(d0_bignum_mod_inv(d, challenge, temp0));
return 1;
fail:
return 0;
if(ctx->schnorr_s) d0_bignum_free(ctx->schnorr_s);
if(ctx->schnorr_4_to_s) d0_bignum_free(ctx->schnorr_4_to_s);
if(ctx->schnorr_4_to_s_signature) d0_bignum_free(ctx->schnorr_4_to_s_signature);
- if(ctx->rn) d0_bignum_free(ctx->rn);
+ if(ctx->rsa_blind_signature_camouflage) d0_bignum_free(ctx->rsa_blind_signature_camouflage);
if(ctx->r) d0_bignum_free(ctx->r);
- if(ctx->e) d0_bignum_free(ctx->e);
+ if(ctx->challenge) d0_bignum_free(ctx->challenge);
+ if(ctx->other_4_to_r) d0_bignum_free(ctx->other_4_to_r);
memset(ctx, 0, sizeof(*ctx));
}
if(src->schnorr_s) ctx->schnorr_s = d0_bignum_mov(NULL, src->schnorr_s);
if(src->schnorr_4_to_s) ctx->schnorr_4_to_s = d0_bignum_mov(NULL, ctx->schnorr_G);
if(src->schnorr_4_to_s_signature) ctx->schnorr_4_to_s_signature = d0_bignum_mov(NULL, src->schnorr_4_to_s_signature);
- if(src->rn) ctx->rn = d0_bignum_mov(NULL, src->rn);
+ if(src->rsa_blind_signature_camouflage) ctx->rsa_blind_signature_camouflage = d0_bignum_mov(NULL, src->rsa_blind_signature_camouflage);
if(src->r) ctx->r = d0_bignum_mov(NULL, src->r);
- if(src->e) ctx->e = d0_bignum_mov(NULL, src->e);
+ if(src->challenge) ctx->challenge = d0_bignum_mov(NULL, src->challenge);
if(src->other_4_to_r) ctx->other_4_to_r = d0_bignum_mov(NULL, src->other_4_to_r);
- // TODO xnbh, msg, msglen?
+ memcpy(ctx->msg, src->msg, sizeof(ctx->msg));
+ ctx->msglen = src->msglen;
+ memcpy(ctx->msghash, src->msghash, sizeof(ctx->msghash));
}
WARN_UNUSED_RESULT BOOL d0_blind_id_generate_private_key(d0_blind_id_t *ctx, int k)
{
- d0_blind_id_clear(ctx);
+ REPLACING(rsa_e); REPLACING(rsa_d); REPLACING(rsa_n);
+
CHECK_ASSIGN(ctx->rsa_e, d0_bignum_int(ctx->rsa_e, 65537));
CHECK_ASSIGN(ctx->rsa_d, d0_bignum_zero(ctx->rsa_d));
CHECK_ASSIGN(ctx->rsa_n, d0_bignum_zero(ctx->rsa_n));
WARN_UNUSED_RESULT BOOL d0_blind_id_read_private_key(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
{
- d0_iobuf_t *in = d0_iobuf_open_read(inbuf, inbuflen);
+ d0_iobuf_t *in = NULL;
+
+ REPLACING(rsa_n); REPLACING(rsa_e); REPLACING(rsa_d);
+
+ in = d0_iobuf_open_read(inbuf, inbuflen);
+
CHECK_ASSIGN(ctx->rsa_n, d0_iobuf_read_bignum(in, ctx->rsa_n));
CHECK_ASSIGN(ctx->rsa_e, d0_iobuf_read_bignum(in, ctx->rsa_e));
CHECK_ASSIGN(ctx->rsa_d, d0_iobuf_read_bignum(in, ctx->rsa_d));
WARN_UNUSED_RESULT BOOL d0_blind_id_read_public_key(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
{
- d0_iobuf_t *in = d0_iobuf_open_read(inbuf, inbuflen);
+ d0_iobuf_t *in = NULL;
+
+ REPLACING(rsa_n); REPLACING(rsa_e);
+
+ in = d0_iobuf_open_read(inbuf, inbuflen);
CHECK_ASSIGN(ctx->rsa_n, d0_iobuf_read_bignum(in, ctx->rsa_n));
CHECK_ASSIGN(ctx->rsa_e, d0_iobuf_read_bignum(in, ctx->rsa_e));
return d0_iobuf_close(in, NULL);
return 0;
}
-#define USING(x) if(!(ctx->x)) return 0
-#define REPLACING(x)
-
WARN_UNUSED_RESULT BOOL d0_blind_id_write_private_key(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(d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen)
+{
+ d0_iobuf_t *out = NULL;
+ static unsigned char convbuf[2048];
+ d0_iobuf_t *conv = NULL;
+ size_t sz, n;
+
+ USING(schnorr_4_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_close(conv, &sz));
+ conv = NULL;
+
+ n = (*outbuflen / 4) * 3;
+ if(n > SHA_DIGESTSIZE)
+ n = SHA_DIGESTSIZE;
+ CHECK(d0_iobuf_write_raw(out, sha(convbuf, sz), n) == n);
+ CHECK(d0_iobuf_conv_base64_out(out));
+
+ return d0_iobuf_close(out, outbuflen);
+
+fail:
+ if(conv)
+ d0_iobuf_close(conv, &sz);
+ d0_iobuf_close(out, outbuflen);
+ return 0;
+}
+
WARN_UNUSED_RESULT BOOL d0_blind_id_generate_private_id_modulus(d0_blind_id_t *ctx)
{
USING(rsa_n);
WARN_UNUSED_RESULT BOOL d0_blind_id_read_private_id_modulus(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen)
{
- d0_iobuf_t *in = d0_iobuf_open_read(inbuf, inbuflen);
+ d0_iobuf_t *in = NULL;
+
+ REPLACING(schnorr_G);
+
+ in = d0_iobuf_open_read(inbuf, inbuflen);
CHECK_ASSIGN(ctx->schnorr_G, d0_iobuf_read_bignum(in, ctx->schnorr_G));
return d0_iobuf_close(in, NULL);
WARN_UNUSED_RESULT BOOL d0_blind_id_generate_private_id_start(d0_blind_id_t *ctx)
{
- // temps: temp0 order
+ // temps: temp0 = order
USING(schnorr_G);
REPLACING(schnorr_s); REPLACING(schnorr_4_to_s);
{
d0_iobuf_t *out = NULL;
- // temps: temp0 temp1
+ // temps: temp0 rsa_blind_signature_camouflage^challenge, temp1 (4^s)*rsa_blind_signature_camouflage^challenge
USING(rsa_n); USING(rsa_e); USING(schnorr_4_to_s);
- REPLACING(rn);
+ REPLACING(rsa_blind_signature_camouflage);
out = d0_iobuf_open_write(outbuf, *outbuflen);
- CHECK_ASSIGN(ctx->rn, d0_bignum_rand_bit_atmost(ctx->rn, d0_bignum_size(ctx->rsa_n)));
- CHECK(d0_bignum_mod_pow(temp0, ctx->rn, ctx->rsa_e, ctx->rsa_n));
+ CHECK_ASSIGN(ctx->rsa_blind_signature_camouflage, d0_bignum_rand_bit_atmost(ctx->rsa_blind_signature_camouflage, d0_bignum_size(ctx->rsa_n)));
+ CHECK(d0_bignum_mod_pow(temp0, ctx->rsa_blind_signature_camouflage, ctx->rsa_e, ctx->rsa_n));
CHECK(d0_bignum_mod_mul(temp1, ctx->schnorr_4_to_s, temp0, ctx->rsa_n));
CHECK(d0_iobuf_write_bignum(out, temp1));
return d0_iobuf_close(out, outbuflen);
d0_iobuf_t *in = NULL;
d0_iobuf_t *out = NULL;
- // temps: temp0 temp1
+ // temps: temp0 input, temp1 temp0^d
USING(rsa_d); USING(rsa_n);
in = d0_iobuf_open_read(inbuf, inbuflen);
{
d0_iobuf_t *in = NULL;
- // temps: temp0 temp1
- USING(rn); USING(rsa_n);
+ // temps: temp0 input, temp1 rsa_blind_signature_camouflage^-1
+ USING(rsa_blind_signature_camouflage); USING(rsa_n);
REPLACING(schnorr_4_to_s_signature);
in = d0_iobuf_open_read(inbuf, inbuflen);
CHECK(d0_iobuf_read_bignum(in, temp0));
- CHECK(d0_bignum_mod_inv(temp1, ctx->rn, ctx->rsa_n));
+ CHECK(d0_bignum_mod_inv(temp1, ctx->rsa_blind_signature_camouflage, ctx->rsa_n));
CHECK_ASSIGN(ctx->schnorr_4_to_s_signature, d0_bignum_mod_mul(ctx->schnorr_4_to_s_signature, temp0, temp1, ctx->rsa_n));
return d0_iobuf_close(in, NULL);
d0_iobuf_t *out = NULL;
static unsigned char convbuf[1024];
d0_iobuf_t *conv = NULL;
- size_t sz;
+ size_t sz = 0;
+ // temps: temp0 order, temp0 4^r
if(is_first)
{
USING(schnorr_4_to_s); USING(schnorr_4_to_s_signature);
// first run: get 4^s, 4^s signature
// 1. check sig
// 2. save HASH(4^r)
-// 3. send challenge e of SCHNORR_BITS
+// 3. send challenge challenge of SCHNORR_BITS
{
d0_iobuf_t *in = NULL;
d0_iobuf_t *out = NULL;
+ // temps: temp0 order, temp0 signature check
if(is_first)
{
- REPLACING(schnorr_4_to_s); REPLACING(k); REPLACING(schnorr_4_to_s_signature);
- USING(rsa_n);
- if(!recv_modulus)
+ REPLACING(schnorr_4_to_s); REPLACING(schnorr_4_to_s_signature);
+ if(recv_modulus)
+ REPLACING(schnorr_G);
+ else
USING(schnorr_G);
}
else
{
- USING(schnorr_4_to_s_signature); USING(schnorr_4_to_s);
+ USING(schnorr_4_to_s); USING(schnorr_4_to_s_signature);
USING(schnorr_G);
}
USING(rsa_e); USING(rsa_n);
- REPLACING(e); REPLACING(msg); REPLACING(msglen);
+ REPLACING(challenge); REPLACING(msg); REPLACING(msglen); REPLACING(msghash); REPLACING(r);
in = d0_iobuf_open_read(inbuf, inbuflen);
out = d0_iobuf_open_write(outbuf, *outbuflen);
CHECK(d0_bignum_cmp(ctx->schnorr_4_to_s_signature, zero) >= 0);
CHECK(d0_bignum_cmp(ctx->schnorr_4_to_s_signature, ctx->rsa_n) < 0);
- // check signature of key (t = k^d, so, t^e = k)
+ // check signature of key (t = k^d, so, t^challenge = k)
CHECK(d0_bignum_mod_pow(temp0, ctx->schnorr_4_to_s_signature, ctx->rsa_e, ctx->rsa_n));
if(d0_bignum_cmp(temp0, ctx->schnorr_4_to_s))
{
}
}
- CHECK(d0_iobuf_read_raw(in, ctx->xnbh, SCHNORR_HASHSIZE));
+ CHECK(d0_iobuf_read_raw(in, ctx->msghash, SCHNORR_HASHSIZE));
ctx->msglen = MSGSIZE;
CHECK(d0_iobuf_read_packet(in, ctx->msg, &ctx->msglen));
// send challenge
- CHECK_ASSIGN(ctx->e, d0_bignum_rand_bit_atmost(ctx->e, SCHNORR_BITS));
+ CHECK_ASSIGN(ctx->challenge, d0_bignum_rand_bit_atmost(ctx->challenge, SCHNORR_BITS));
- CHECK(d0_iobuf_write_bignum(out, ctx->e));
+ CHECK(d0_iobuf_write_bignum(out, ctx->challenge));
- if(is_first)
- {
- // Diffie Hellmann
- 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(temp0, four, ctx->r, ctx->schnorr_G));
- CHECK(d0_iobuf_write_bignum(out, temp0));
- }
+ // Diffie Hellmann
+ 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(temp0, four, ctx->r, ctx->schnorr_G));
+ CHECK(d0_iobuf_write_bignum(out, temp0));
if(status)
*status = !!d0_bignum_cmp(ctx->schnorr_4_to_s_signature, zero);
return 0;
}
-WARN_UNUSED_RESULT BOOL d0_blind_id_authenticate_with_private_id_response(d0_blind_id_t *ctx, BOOL is_first, const char *inbuf, size_t inbuflen, char *outbuf, size_t *outbuflen)
-// 1. read challenge e of SCHNORR_BITS
-// 2. reply with r + s * e mod order
+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)
+// 1. read challenge challenge of SCHNORR_BITS
+// 2. reply with r + s * challenge mod order
{
d0_iobuf_t *in = NULL;
d0_iobuf_t *out = NULL;
- // temps: 0 order, 1 prod, 2 y, 3 e
+ // temps: 0 order, 1 prod, 2 y, 3 challenge
+ REPLACING(other_4_to_r);
USING(schnorr_G); USING(schnorr_s); USING(r);
in = d0_iobuf_open_read(inbuf, inbuflen);
CHECK(d0_bignum_cmp(temp3, zero) >= 0);
CHECK(d0_bignum_size(temp3) <= SCHNORR_BITS);
- if(is_first)
- {
- // Diffie Hellmann
- CHECK_ASSIGN(ctx->other_4_to_r, d0_iobuf_read_bignum(in, ctx->other_4_to_r));
- CHECK(d0_bignum_cmp(ctx->other_4_to_r, zero) > 0);
- CHECK(d0_bignum_cmp(ctx->other_4_to_r, ctx->schnorr_G) < 0);
- }
+ // Diffie Hellmann
+ CHECK_ASSIGN(ctx->other_4_to_r, d0_iobuf_read_bignum(in, ctx->other_4_to_r));
+ CHECK(d0_bignum_cmp(ctx->other_4_to_r, zero) > 0);
+ CHECK(d0_bignum_cmp(ctx->other_4_to_r, ctx->schnorr_G) < 0);
// send response for schnorr ID scheme
- // i.e. r + ctx->schnorr_s * temp3
+ // 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));
}
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)
-// 1. read y = r + s * e mod order
-// 2. verify: g^y (g^s)^-e = g^(r+s*e-s*e) = g^r
+// 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)
{
d0_iobuf_t *in = NULL;
size_t sz;
// temps: 0 y 1 order
- USING(e); USING(schnorr_G);
+ USING(challenge); USING(schnorr_G);
+ REPLACING(other_4_to_r);
in = d0_iobuf_open_read(inbuf, inbuflen);
CHECK(d0_bignum_cmp(temp0, temp1) < 0);
// verify schnorr ID scheme
- // we need 4^temp0 (g^s)^-e
- CHECK(d0_bignum_neg(temp1, ctx->e));
+ // we need 4^temp0 (g^s)^-challenge
+ CHECK(d0_bignum_neg(temp1, ctx->challenge));
CHECK(d0_bignum_mod_pow(temp2, ctx->schnorr_4_to_s, temp1, ctx->schnorr_G));
CHECK(d0_bignum_mod_pow(temp1, four, temp0, ctx->schnorr_G));
CHECK_ASSIGN(ctx->other_4_to_r, d0_bignum_mod_mul(ctx->other_4_to_r, temp1, temp2, ctx->schnorr_G));
- // hash must be equal to xnbh
+ // hash must be equal to msghash
// hash it, hash it, everybody hash it
conv = d0_iobuf_open_write(convbuf, sizeof(convbuf));
CHECK(d0_iobuf_write_bignum(conv, ctx->other_4_to_r));
d0_iobuf_close(conv, &sz);
conv = NULL;
- if(memcmp(sha(convbuf, sz), ctx->xnbh, SCHNORR_HASHSIZE))
+ if(memcmp(sha(convbuf, sz), ctx->msghash, SCHNORR_HASHSIZE))
{
// FAIL (not owned by player)
goto fail;
d0_iobuf_t *conv = NULL;
size_t n, sz;
- USING(r); USING(other_4_to_r);
+ USING(r); USING(other_4_to_r); USING(schnorr_G);
out = d0_iobuf_open_write(outbuf, *outbuflen);
conv = d0_iobuf_open_write(convbuf, sizeof(convbuf));