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)
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);
memcpy(ctx->msg, src->msg, sizeof(ctx->msg));
ctx->msglen = src->msglen;
- memcpy(ctx->xnbh, src->xnbh, sizeof(ctx->xnbh));
+ 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_iobuf_t *out = NULL;
- // temps: temp0 rn^e, temp1 (4^s)*rn^e
+ // 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;
- // temps: temp0 input, temp1 rn^-1
- 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);
// 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;
USING(schnorr_G);
}
USING(rsa_e); USING(rsa_n);
- REPLACING(e); REPLACING(msg); REPLACING(msglen); REPLACING(xnbh); REPLACING(r);
+ 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));
// Diffie Hellmann
CHECK(d0_dl_get_order(temp0, ctx->schnorr_G));
}
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 e of SCHNORR_BITS
-// 2. reply with r + s * e mod order
+// 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);
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;