Finished BLISS signature generation

This commit is contained in:
Andreas Steffen
2014-11-29 14:51:17 +01:00
parent edd72b6bb9
commit e71813e56d
12 changed files with 1178 additions and 165 deletions
@@ -16,6 +16,8 @@ libstrongswan_bliss_la_SOURCES = \
bliss_param_set.h bliss_param_set.c \
bliss_private_key.h bliss_private_key.c \
bliss_public_key.h bliss_public_key.c \
bliss_signature.h bliss_signature.c \
bliss_utils.h bliss_utils.c \
bliss_fft.h bliss_fft.c \
bliss_fft_params.h bliss_fft_params.c \
bliss_sampler.h bliss_sampler.c
@@ -123,6 +123,7 @@ static bliss_param_set_t bliss_param_sets[] = {
.oid = OID_BLISS_I,
.strength = 128,
.q = 12289,
.q2_inv = 6145,
.n = 512,
.n_bits = 9,
.fft_params = &bliss_fft_12289_512,
@@ -134,7 +135,12 @@ static bliss_param_set_t bliss_param_sets[] = {
.k_sigma_bits = 8,
.c = c_bliss_i,
.c_cols = 16,
.c_rows = 21
.c_rows = 21,
.d = 10,
.p = 24,
.M = 46539,
.B_inf = 2100,
.B_l2 = 12872 * 12872
},
/* BLISS-III scheme */
@@ -143,6 +149,7 @@ static bliss_param_set_t bliss_param_sets[] = {
.oid = OID_BLISS_III,
.strength = 160,
.q = 12289,
.q2_inv = 6145,
.n = 512,
.n_bits = 9,
.fft_params = &bliss_fft_12289_512,
@@ -154,7 +161,12 @@ static bliss_param_set_t bliss_param_sets[] = {
.k_sigma_bits = 9,
.c = c_bliss_iii,
.c_cols = 16,
.c_rows = 21
.c_rows = 21,
.d = 9,
.p = 48,
.M = 128113,
.B_inf = 1760,
.B_l2 = 10206 * 10206
},
/* BLISS-IV scheme */
@@ -163,6 +175,7 @@ static bliss_param_set_t bliss_param_sets[] = {
.oid = OID_BLISS_IV,
.strength = 192,
.q = 12289,
.q2_inv = 6145,
.n = 512,
.n_bits = 9,
.fft_params = &bliss_fft_12289_512,
@@ -174,7 +187,12 @@ static bliss_param_set_t bliss_param_sets[] = {
.k_sigma_bits = 9,
.c = c_bliss_iv,
.c_cols = 16,
.c_rows = 22
.c_rows = 22,
.d = 8,
.p = 96,
.M = 244186,
.B_inf = 1613,
.B_l2 = 9901 * 9901
}
};
@@ -65,6 +65,11 @@ struct bliss_param_set_t {
*/
uint16_t q;
/**
* Inverse of (q + 2) mod 2q
*/
uint16_t q2_inv;
/**
* Ring dimension equal to the number of polynomial coefficients
*/
@@ -125,6 +130,30 @@ struct bliss_param_set_t {
*/
size_t c_rows;
/**
* Number of bits to be dropped after rounding
*/
uint16_t d;
/**
* Modulus p = floor(2q / 2^d) applied after bit dropping
*/
uint16_t p;
/**
* M = sigma^2 / alpha_rejection^2
*/
uint32_t M;
/**
* B_infinity bound
*/
uint16_t B_inf;
/**
* B_verify bound
*/
uint32_t B_l2;
};
/**
@@ -14,8 +14,11 @@
*/
#include "bliss_private_key.h"
#include "bliss_public_key.h"
#include "bliss_param_set.h"
#include "bliss_utils.h"
#include "bliss_sampler.h"
#include "bliss_signature.h"
#include "bliss_fft.h"
#include <crypto/mgf1/mgf1_bitspender.h>
@@ -28,19 +31,7 @@
typedef struct private_bliss_private_key_t private_bliss_private_key_t;
#define SECRET_KEY_TRIALS_MAX 30
/**
* Functions shared with bliss_public_key class
*/
extern uint32_t* bliss_public_key_from_asn1(chunk_t object, int n);
extern chunk_t bliss_public_key_encode(uint32_t *pubkey, int n);
extern chunk_t bliss_public_key_info_encode(int oid, uint32_t *pubkey, int n);
extern bool bliss_public_key_fingerprint(int oid, uint32_t *pubkey, int n,
cred_encoding_type_t type, chunk_t *fp);
#define SECRET_KEY_TRIALS_MAX 50
/**
* Private data of a bliss_private_key_t object.
@@ -83,19 +74,72 @@ METHOD(private_key_t, get_type, key_type_t,
return KEY_BLISS;
}
/**
* Multiply secret vector s with binary challenge vector c
*/
static void multiply_by_c(int8_t *s, int n, uint16_t *c_indices,
uint16_t kappa, int32_t *product)
{
int i, j, index;
for (i = 0; i < n; i++)
{
product[i] = 0;
for (j = 0; j < kappa; j++)
{
index = c_indices[j];
if (i - index < 0)
{
product[i] -= s[i - index + n];
}
else
{
product[i] += s[i - index];
}
}
}
}
/**
* Compute a BLISS signature based on a SHA-512 hash
*/
static bool sign_bliss_with_sha512(private_bliss_private_key_t *this,
chunk_t data, chunk_t *signature)
{
rng_t *rng;
hash_algorithm_t alg;
bliss_sampler_t *sampler;
int i, count_max = 100000000;
int hist_len = 20000, hist_len2 = hist_len / 2;
int32_t x, hist[hist_len];
double mean = 0, sigma2 = 0;
uint8_t seed_buf[32];
hasher_t *hasher;
bliss_fft_t *fft;
bliss_signature_t *sig;
bliss_sampler_t *sampler = NULL;
uint8_t seed_buf[32], data_hash_buf[HASH_SIZE_SHA512];
uint16_t q, q2, p, p2, *c_indices, tests = 0;
uint32_t *A, *ay;
int32_t *y1, *y2, *z1, *z2, *u, *s1c, *s2c;
int32_t y1_min, y1i, y1_max, y2_min, y2i, y2_max, scalar, norm, ui;
int16_t *ud, *uz2d, *z2d, value;
int i, n;
size_t seed_len;
double mean1 = 0, mean2 = 0, sigma1 = 0, sigma2 = 0;
chunk_t seed;
chunk_t data_hash = { data_hash_buf, sizeof(data_hash_buf) };
bool accepted, positive, success = FALSE;
/* Initialize signature */
*signature = chunk_empty;
/* Create data hash */
hasher = lib->crypto->create_hasher(lib->crypto, HASH_SHA512);
if (!hasher )
{
return FALSE;
}
if (!hasher->get_hash(hasher, data, data_hash_buf))
{
hasher->destroy(hasher);
return FALSE;
}
/* Set MGF1 hash algorithm and seed length based on security strength */
if (this->set->strength > 160)
@@ -110,59 +154,245 @@ static bool sign_bliss_with_sha512(private_bliss_private_key_t *this,
}
seed = chunk_create(seed_buf, seed_len);
rng = lib->crypto->create_rng(lib->crypto, RNG_TRUE);
rng = lib->crypto->create_rng(lib->crypto, RNG_STRONG);
if (!rng)
{
return FALSE;
}
if (!rng->get_bytes(rng, seed_len, seed_buf))
{
rng->destroy(rng);
return FALSE;
}
rng->destroy(rng);
sampler = bliss_sampler_create(alg, seed, this->set);
if (!sampler)
{
hasher->destroy(hasher);
return FALSE;
}
for (i = 0; i < hist_len; i++)
{
hist[i] = 0;
}
/* Initialize a couple of needed variables */
n = this->set->n;
q = this->set->q;
p = this->set->p;
q2 = 2 * q;
p2 = p / 2;
A = malloc(n * sizeof(uint32_t));
ay = malloc(n * sizeof(uint32_t));
z2 = malloc(n * sizeof(int32_t));
s1c = malloc(n * sizeof(int32_t));
s2c = malloc(n * sizeof(int32_t));
u = malloc(n * sizeof(int32_t));
uz2d = malloc(n * sizeof(int16_t));
for (i = 0; i < count_max; i++)
sig = bliss_signature_create(this->set);
sig->get_parameters(sig, &z1, &z2d, &c_indices);
y1 = z1;
y2 = z2;
ud = z2d;
fft = bliss_fft_create(this->set->fft_params);
fft->transform(fft, this->a, A, FALSE);
while (true)
{
if (!sampler->gaussian(sampler, &x))
tests++;
if (!rng->get_bytes(rng, seed_len, seed_buf))
{
sampler->destroy(sampler);
return FALSE;
goto end;
}
hist[hist_len2 + x]++;
}
for (i = 0; i < hist_len; i++)
{
if (hist[i])
{
x = i - hist_len2;
DBG2(DBG_LIB, "hist[%4d] = %7u", x, hist[i]);
mean += (double)hist[i] * x;
sigma2 += (double)hist[i] * x * x;
}
}
mean /= (double)count_max;
sigma2 /= (double)count_max;
sigma2 -= mean * mean;
DBG2(DBG_LIB, "mean = %6.4f, sigma2 = %7.2f ", mean, sigma2);
DESTROY_IF(sampler);
sampler = bliss_sampler_create(alg, seed, this->set);
if (!sampler)
{
goto end;
}
/* Gaussian sampling for vectors y1 and y2 */
for (i = 0; i < n; i++)
{
if (!sampler->gaussian(sampler, &y1i) ||
!sampler->gaussian(sampler, &y2i))
{
goto end;
}
y1[i] = y1i;
y2[i] = y2i;
/* Collect statistical data on rejection sampling */
if (i == 0)
{
y1_min = y1_max = y1i;
y2_min = y2_max = y2i;
}
else
{
if (y1i < y1_min)
{
y1_min = y1i;
}
else if (y1i > y1_max)
{
y1_max = y1i;
}
if (y2i < y2_min)
{
y2_min = y2i;
}
else if (y2i > y2_max)
{
y2_max = y2i;
}
}
mean1 += y1i;
mean2 += y2i;
sigma1 += y1i * y1i;
sigma2 += y2i * y2i;
ay[i] = y1i < 0 ? q + y1i : y1i;
}
/* Compute statistics on vectors y1 and y2 */
mean1 /= n;
mean2 /= n;
sigma1 /= n;
sigma2 /= n;
sigma2 -= mean1 * mean1;
sigma2 -= mean2 * mean2;
DBG2(DBG_LIB, "y1 = %d..%d (sigma2 = %5.0f, mean = %4.1f)",
y1_min, y1_max, sigma1, mean1);
DBG2(DBG_LIB, "y2 = %d..%d (sigma2 = %5.0f, mean = %4.1f)",
y2_min, y2_max, sigma2, mean2);
fft->transform(fft, ay, ay, FALSE);
for (i = 0; i < n; i++)
{
ay[i] = (A[i] * ay[i]) % q;
}
fft->transform(fft, ay, ay, TRUE);
for (i = 0; i < n; i++)
{
ui = 2 * this->set->q2_inv * (int32_t)ay[i] + y2[i];
u[i] = ((ui < 0) ? q2 + ui : ui) % q2;
}
bliss_utils_round_and_drop(this->set, u, ud);
/* Detailed debugging information */
DBG3(DBG_LIB, " i u[i] ud[i]");
for (i = 0; i < n; i++)
{
DBG3(DBG_LIB, "%3d %6d %4d", i, u[i], ud[i]);
}
if (!bliss_utils_generate_c(hasher, data_hash, ud, n, this->set->kappa,
c_indices))
{
goto end;
}
/* Compute s*c */
multiply_by_c(this->s1, n, c_indices, this->set->kappa, s1c);
multiply_by_c(this->s2, n, c_indices, this->set->kappa, s2c);
/* Reject with probability 1/(M*exp(-norm^2/2*sigma^2)) */
norm = bliss_utils_scalar_product(s1c, s1c, n) +
bliss_utils_scalar_product(s2c, s2c, n);
if (!sampler->bernoulli_exp(sampler, this->set->M - norm, &accepted))
{
goto end;
}
DBG2(DBG_LIB, "norm2(s1*c) + norm2(s2*c) = %u, %s",
norm, accepted ? "accepted" : "rejected");
if (!accepted)
{
continue;
}
/* Compute z */
if (!sampler->sign(sampler, &positive))
{
goto end;
}
for (i = 0; i < n; i++)
{
if (positive)
{
z1[i] = y1[i] + s1c[i];
z2[i] = y2[i] + s2c[i];
}
else
{
z1[i] = y1[i] - s1c[i];
z2[i] = y2[i] - s2c[i];
}
}
/* Reject with probability 1/cosh(scalar/sigma^2) */
scalar = bliss_utils_scalar_product(z1, s1c, n) +
bliss_utils_scalar_product(z2, s2c, n);
if (!sampler->bernoulli_cosh(sampler, scalar, &accepted))
{
goto end;
}
DBG2(DBG_LIB, "scalar(z1,s1*c) + scalar(z2,s2*c) = %d, %s",
scalar, accepted ? "accepted" : "rejected");
if (!accepted)
{
continue;
}
/* Compute z2 with dropped bits */
for (i = 0; i < n; i++)
{
u[i] -= z2[i];
if (u[i] < 0)
{
u[i] += q2;
}
else if (u[i] >= q2)
{
u[i] -= q2;
}
}
bliss_utils_round_and_drop(this->set, u, uz2d);
for (i = 0; i < n; i++)
{
value = ud[i] - uz2d[i];
if (value <= -p2)
{
value += p;
}
else if (value > p2)
{
value -= p;
}
z2d[i] = value;
}
if (!bliss_utils_check_norms(this->set, z1, z2d))
{
continue;
}
DBG2(DBG_LIB, "signature generation needed %u round%s", tests,
(tests == 1) ? "" : "s");
break;
}
success = TRUE;
*signature = sig->get_encoding(sig);
end:
/* cleanup */
sampler->destroy(sampler);
hasher->destroy(hasher);
sig->destroy(sig);
fft->destroy(fft);
rng->destroy(rng);
free(A);
free(ay);
free(z2);
free(s1c);
free(s2c);
free(u);
free(uz2d);
DBG2(DBG_LIB, "empty signature");
*signature = chunk_empty;
return TRUE;
return success;
}
METHOD(private_key_t, sign, bool,
@@ -201,8 +431,7 @@ METHOD(private_key_t, get_public_key, public_key_t*,
public_key_t *public;
chunk_t pubkey;
pubkey = bliss_public_key_info_encode(this->set->oid, this->a,
this->set->n);
pubkey = bliss_public_key_info_encode(this->set->oid, this->a, this->set->n);
public = lib->creds->create(lib->creds, CRED_PUBLIC_KEY, KEY_BLISS,
BUILD_BLOB_ASN1_DER, pubkey, BUILD_END);
free(pubkey.ptr);
+231 -100
View File
@@ -15,6 +15,9 @@
#include "bliss_public_key.h"
#include "bliss_param_set.h"
#include "bliss_signature.h"
#include "bliss_fft.h"
#include "bliss_utils.h"
#include <asn1/asn1.h>
#include <asn1/asn1_parser.h>
@@ -53,6 +56,134 @@ METHOD(public_key_t, get_type, key_type_t,
return KEY_BLISS;
}
/**
* Verify a BLISS signature based on a SHA-512 hash
*/
static bool verify_bliss_with_sha512(private_bliss_public_key_t *this,
chunk_t data, chunk_t signature)
{
int i, n;
int32_t *z1, *u;
int16_t *ud, *z2d;
uint16_t q, q2, p, *c_indices, *indices;
uint32_t *az;
uint8_t data_hash_buf[HASH_SIZE_SHA512];
chunk_t data_hash = { data_hash_buf, sizeof(data_hash_buf) };
hasher_t *hasher;
bliss_fft_t *fft;
bliss_signature_t *sig;
bool success = FALSE;
/* Create data hash */
hasher = lib->crypto->create_hasher(lib->crypto, HASH_SHA512);
if (!hasher )
{
return FALSE;
}
if (!hasher->get_hash(hasher, data, data_hash_buf))
{
hasher->destroy(hasher);
return FALSE;
}
sig = bliss_signature_create_from_data(this->set, signature);
if (!sig)
{
hasher->destroy(hasher);
return FALSE;
}
sig->get_parameters(sig, &z1, &z2d, &c_indices);
if (!bliss_utils_check_norms(this->set, z1, z2d))
{
hasher->destroy(hasher);
sig->destroy(sig);
return FALSE;
}
/* Initialize a couple of needed variables */
n = this->set->n;
q = this->set->q;
p = this->set->p;
q2 = 2 * q;
az = malloc(n * sizeof(uint32_t));
u = malloc(n * sizeof(int32_t));
ud = malloc(n * sizeof(int16_t));
indices = malloc(this->set->kappa * sizeof(uint16_t));
for (i = 0; i < n; i++)
{
az[i] = z1[i] < 0 ? q + z1[i] : z1[i];
}
fft = bliss_fft_create(this->set->fft_params);
fft->transform(fft, this->a, A, FALSE);
fft->transform(fft, az, az, FALSE);
for (i = 0; i < n; i++)
{
az[i] = (A[i] * az[i]) % q;
}
fft->transform(fft, az, az, TRUE);
for (i = 0; i < n; i++)
{
u[i] = (2 * this->set->q2_inv * az[i]) % q2;
}
for (i = 0; i < this->set->kappa; i++)
{
u[c_indices[i]] = (u[c_indices[i]] + q * this->set->q2_inv) % q2;
}
bliss_utils_round_and_drop(this->set, u, ud);
for (i = 0; i < n; i++)
{
ud[i] += z2d[i];
if (ud[i] < 0)
{
ud[i] += p;
}
else if (ud[i] >= p)
{
ud[i] -= p;
}
}
/* Detailed debugging information */
DBG3(DBG_LIB, " i u[i] ud[i] z2d[i]");
for (i = 0; i < n; i++)
{
DBG3(DBG_LIB, "%3d %6d %4d %4d", i, u[i], ud[i], z2d[i]);
}
if (!bliss_utils_generate_c(hasher, data_hash, ud, n, this->set->kappa,
indices))
{
goto end;
}
for (i = 0; i < this->set->kappa; i++)
{
if (indices[i] != c_indices[i])
{
goto end;
}
}
success = TRUE;
end:
/* cleanup */
hasher->destroy(hasher);
sig->destroy(sig);
fft->destroy(fft);
free(az);
free(u);
free(ud);
free(indices);
return success;
}
METHOD(public_key_t, verify, bool,
private_bliss_public_key_t *this, signature_scheme_t scheme,
chunk_t data, chunk_t signature)
@@ -60,7 +191,7 @@ METHOD(public_key_t, verify, bool,
switch (scheme)
{
case SIGN_BLISS_WITH_SHA512:
return FALSE;
return verify_bliss_with_sha512(this, data, signature);
default:
DBG1(DBG_LIB, "signature scheme %N not supported by BLISS",
signature_scheme_names, scheme);
@@ -83,111 +214,13 @@ METHOD(public_key_t, get_keysize, int,
return this->set->strength;
}
/**
* Parse an ASN.1 OCTET STRING into an array of public key coefficients
*/
uint32_t* bliss_public_key_from_asn1(chunk_t object, int n)
{
uint32_t *pubkey;
uint16_t coeff;
u_char *pos;
int i;
pubkey = malloc(n * sizeof(uint32_t));
pos = object.ptr;
for (i = 0; i < n; i++)
{
coeff = untoh16(pos);
pubkey[i] = (uint32_t)coeff;
pos += 2;
}
return pubkey;
}
/**
* Encode a raw BLISS subjectPublicKey in ASN.1 DER format
*/
chunk_t bliss_public_key_encode(uint32_t *pubkey, int n)
{
u_char *pos;
chunk_t encoding;
int i;
pos = asn1_build_object(&encoding, ASN1_OCTET_STRING, 2 * n);
for (i = 0; i < n; i++)
{
htoun16(pos, (uint16_t)pubkey[i]);
pos += 2;
}
return encoding;
}
/**
* Encode a BLISS subjectPublicKeyInfo record in ASN.1 DER format
*/
chunk_t bliss_public_key_info_encode(int oid, uint32_t *pubkey, int n)
{
chunk_t encoding, pubkey_encoding;
pubkey_encoding = bliss_public_key_encode(pubkey, n);
encoding = asn1_wrap(ASN1_SEQUENCE, "mm",
asn1_wrap(ASN1_SEQUENCE, "mm",
asn1_build_known_oid(OID_BLISS_PUBLICKEY),
asn1_build_known_oid(oid)),
asn1_bitstring("m", pubkey_encoding));
return encoding;
}
/**
* Generate a BLISS public key fingerprint
*/
bool bliss_public_key_fingerprint(int oid, uint32_t *pubkey, int n,
cred_encoding_type_t type, chunk_t *fp)
{
hasher_t *hasher;
chunk_t key;
switch (type)
{
case KEYID_PUBKEY_SHA1:
key = bliss_public_key_encode(pubkey, n);
break;
case KEYID_PUBKEY_INFO_SHA1:
key = bliss_public_key_info_encode(oid, pubkey, n);
break;
default:
return FALSE;
}
hasher = lib->crypto->create_hasher(lib->crypto, HASH_SHA1);
if (!hasher || !hasher->allocate_hash(hasher, key, fp))
{
DBG1(DBG_LIB, "SHA1 hash algorithm not supported, fingerprinting failed");
DESTROY_IF(hasher);
free(key.ptr);
return FALSE;
}
hasher->destroy(hasher);
free(key.ptr);
return TRUE;
}
METHOD(public_key_t, get_encoding, bool,
private_bliss_public_key_t *this, cred_encoding_type_t type,
chunk_t *encoding)
{
bool success = TRUE;
*encoding = bliss_public_key_info_encode(this->set->oid, this->a,
this->set->n);
*encoding = bliss_public_key_info_encode(this->set->oid, this->a, this->set->n);
if (type != PUBKEY_SPKI_ASN1_DER)
{
@@ -358,3 +391,101 @@ end:
return &this->public;
}
/**
* See header.
*/
uint32_t* bliss_public_key_from_asn1(chunk_t object, int n)
{
uint32_t *pubkey;
uint16_t coeff;
u_char *pos;
int i;
pubkey = malloc(n * sizeof(uint32_t));
pos = object.ptr;
for (i = 0; i < n; i++)
{
coeff = untoh16(pos);
pubkey[i] = (uint32_t)coeff;
pos += 2;
}
return pubkey;
}
/**
* See header.
*/
chunk_t bliss_public_key_encode(uint32_t *pubkey, int n)
{
u_char *pos;
chunk_t encoding;
int i;
pos = asn1_build_object(&encoding, ASN1_OCTET_STRING, 2 * n);
for (i = 0; i < n; i++)
{
htoun16(pos, (uint16_t)pubkey[i]);
pos += 2;
}
return encoding;
}
/**
* See header.
*/
chunk_t bliss_public_key_info_encode(int oid, uint32_t *pubkey, int n)
{
chunk_t encoding, pubkey_encoding;
pubkey_encoding = bliss_public_key_encode(pubkey, n);
encoding = asn1_wrap(ASN1_SEQUENCE, "mm",
asn1_wrap(ASN1_SEQUENCE, "mm",
asn1_build_known_oid(OID_BLISS_PUBLICKEY),
asn1_build_known_oid(oid)),
asn1_bitstring("m", pubkey_encoding));
return encoding;
}
/**
* See header.
*/
bool bliss_public_key_fingerprint(int oid, uint32_t *pubkey, int n,
cred_encoding_type_t type, chunk_t *fp)
{
hasher_t *hasher;
chunk_t key;
switch (type)
{
case KEYID_PUBKEY_SHA1:
key = bliss_public_key_encode(pubkey, n);
break;
case KEYID_PUBKEY_INFO_SHA1:
key = bliss_public_key_info_encode(oid, pubkey, n);
break;
default:
return FALSE;
}
hasher = lib->crypto->create_hasher(lib->crypto, HASH_SHA1);
if (!hasher || !hasher->allocate_hash(hasher, key, fp))
{
DBG1(DBG_LIB, "SHA1 hash algorithm not supported, fingerprinting failed");
DESTROY_IF(hasher);
free(key.ptr);
return FALSE;
}
hasher->destroy(hasher);
free(key.ptr);
return TRUE;
}
@@ -22,6 +22,7 @@
#define BLISS_PUBLIC_KEY_H_
#include <credentials/builder.h>
#include <credentials/cred_encoding.h>
#include <credentials/keys/public_key.h>
typedef struct bliss_public_key_t bliss_public_key_t;
@@ -48,4 +49,47 @@ struct bliss_public_key_t {
*/
bliss_public_key_t *bliss_public_key_load(key_type_t type, va_list args);
/* The following functions are shared with the bliss_private_key class */
/**
* Parse an ASN.1 OCTET STRING into an array of public key coefficients
*
* @param object ASN.1 encoded subjectPublicKey
* @param n number of public key coefficients
* @result coefficients of public key vector
*/
uint32_t* bliss_public_key_from_asn1(chunk_t object, int n);
/**
* Encode a raw BLISS subjectPublicKey in ASN.1 DER format
*
* @param coefficients of public key vector
* @param n number of public key coefficients
* @result ASN.1 encoded subjectPublicKey
*/
chunk_t bliss_public_key_encode(uint32_t *pubkey, int n);
/**
* Encode a BLISS subjectPublicKeyInfo record in ASN.1 DER format
*
* @param oid BLISS public key type OID
* @param pubkey coefficients of public key vector
* @param n number of public key coefficients
* @result ASN.1 encoded subjectPublicKeyInfo record
*/
chunk_t bliss_public_key_info_encode(int oid, uint32_t *pubkey, int n);
/**
* Generate a BLISS public key fingerprint
*
* @param oid BLISS public key type OID
* @param pubkey coefficients of public key vector
* @param n number of public key coefficients
* @param type type of fingerprint to be generated
* @param fp generated fingerprint (must be freed by caller)
* @result TRUE if generation was successful
*/
bool bliss_public_key_fingerprint(int oid, uint32_t *pubkey, int n,
cred_encoding_type_t type, chunk_t *fp);
#endif /** BLISS_PUBLIC_KEY_H_ @}*/
@@ -81,6 +81,42 @@ METHOD(bliss_sampler_t, bernoulli_exp, bool,
return TRUE;
}
METHOD(bliss_sampler_t, bernoulli_cosh, bool,
private_bliss_sampler_t *this, int32_t x, bool *accepted)
{
uint32_t u;
x = 2 * (x < 0 ? -x : x);
while (TRUE)
{
if (!bernoulli_exp(this, x, accepted))
{
return FALSE;
}
if (*accepted)
{
return TRUE;
}
if (!this->bitspender->get_bits(this->bitspender, 1, &u))
{
return FALSE;
}
if (u)
{
continue;
}
if (!bernoulli_exp(this, x, accepted))
{
return FALSE;
}
if (!(*accepted))
{
return TRUE;
}
}
}
#define MAX_SAMPLE_INDEX 16
METHOD(bliss_sampler_t, pos_binary, bool,
@@ -160,6 +196,20 @@ METHOD(bliss_sampler_t, gaussian, bool,
return TRUE;
}
METHOD(bliss_sampler_t, sign, bool,
private_bliss_sampler_t *this, bool *positive)
{
uint32_t u;
if (!this->bitspender->get_bits(this->bitspender, 1, &u))
{
return FALSE;
}
*positive = u;
return TRUE;
}
METHOD(bliss_sampler_t, destroy, void,
private_bliss_sampler_t *this)
{
@@ -186,8 +236,10 @@ bliss_sampler_t *bliss_sampler_create(hash_algorithm_t alg, chunk_t seed,
INIT(this,
.public = {
.bernoulli_exp = _bernoulli_exp,
.bernoulli_cosh = _bernoulli_cosh,
.pos_binary = _pos_binary,
.gaussian = _gaussian,
.sign = _sign,
.destroy = _destroy,
},
.set = set,
@@ -42,6 +42,15 @@ struct bliss_sampler_t {
*/
bool (*bernoulli_exp)(bliss_sampler_t *this, uint32_t x, bool *accepted);
/**
* Sample according to 1/cosh(x/sigma^2)
*
* @param x Value to be sampled
* @param accepted TRUE if value is accepted, FALSE if rejected
* @result TRUE if sampling was successful
*/
bool (*bernoulli_cosh)(bliss_sampler_t *this, int32_t x, bool *accepted);
/**
* Sample according to 2^(-x^2) for positive x
*
@@ -58,6 +67,14 @@ struct bliss_sampler_t {
*/
bool (*gaussian)(bliss_sampler_t *this, int32_t *z);
/**
* Sample the sign according to the binary distribution
*
* @param positive TRUE if positive
* @result TRUE if sampling was successful
*/
bool (*sign)(bliss_sampler_t *this, bool *positive);
/**
* Destroy bliss_sampler_t object
*/
@@ -0,0 +1,179 @@
/*
* Copyright (C) 2014 Andreas Steffen
* HSR Hochschule fuer Technik Rapperswil
*
* This program is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License as published by the
* Free Software Foundation; either version 2 of the License, or (at your
* option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
*
* This program 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 General Public License
* for more details.
*/
#include "bliss_signature.h"
typedef struct private_bliss_signature_t private_bliss_signature_t;
/**
* Private data of a bliss_signature_t object.
*/
struct private_bliss_signature_t {
/**
* Public interface for this signer.
*/
bliss_signature_t public;
/**
* BLISS signature parameter set
*/
bliss_param_set_t *set;
/**
* BLISS signature vector z1 of size n
*/
int32_t *z1;
/**
* BLISS signature vector z2d of size n
*/
int16_t *z2d;
/**
* Indices of sparse BLISS challenge vector c of size kappa
*/
uint16_t *c_indices;
/**
* Compressed encoding of BLISS signature
*/
chunk_t encoding;
};
METHOD(bliss_signature_t, get_encoding, chunk_t,
private_bliss_signature_t *this)
{
if (this->encoding.len == 0)
{
uint8_t *pos;
int i;
this->encoding = chunk_alloc(this->set->kappa * sizeof(uint16_t) +
this->set->n * sizeof(int16_t) +
this->set->n * sizeof(int8_t)),
pos = this->encoding.ptr;
for (i = 0; i < this->set->kappa; i++)
{
htoun16(pos, this->c_indices[i]);
pos += 2;
}
for (i = 0; i < this->set->n; i++)
{
htoun16(pos, (uint16_t)this->z1[i]);
pos += 2;
}
for (i = 0; i < this->set->n; i++)
{
*pos++ = (uint8_t)this->z2d[i];
}
DBG2(DBG_LIB, "generated BLISS signature (%u bytes)",
this->encoding.len);
}
return chunk_clone(this->encoding);
}
METHOD(bliss_signature_t, get_parameters, void,
private_bliss_signature_t *this, int32_t **z1, int16_t **z2d,
uint16_t **c_indices)
{
*z1 = this->z1;
*z2d = this->z2d;
*c_indices = this->c_indices;
}
METHOD(bliss_signature_t, destroy, void,
private_bliss_signature_t *this)
{
free(this->z1);
free(this->z2d);
free(this->c_indices);
free(this->encoding.ptr);
free(this);
}
/**
* See header.
*/
bliss_signature_t *bliss_signature_create(bliss_param_set_t *set)
{
private_bliss_signature_t *this;
INIT(this,
.public = {
.get_encoding = _get_encoding,
.get_parameters = _get_parameters,
.destroy = _destroy,
},
.set = set,
.z1 = malloc(set->n * sizeof(int32_t)),
.z2d = malloc(set->n * sizeof(int16_t)),
.c_indices = malloc(set->n * sizeof(uint16_t)),
);
return &this->public;
}
/**
* See header.
*/
bliss_signature_t *bliss_signature_create_from_data(bliss_param_set_t *set,
chunk_t encoding)
{
private_bliss_signature_t *this;
uint8_t *pos;
int i;
if (encoding.len != set->kappa * sizeof(uint16_t) +
set->n * sizeof(int16_t) + set->n * sizeof(int8_t))
{
DBG1(DBG_LIB, "incorrect BLISS signature size");
return NULL;
}
INIT(this,
.public = {
.get_encoding = _get_encoding,
.get_parameters = _get_parameters,
.destroy = _destroy,
},
.set = set,
.z1 = malloc(set->n * sizeof(int32_t)),
.z2d = malloc(set->n * sizeof(int16_t)),
.c_indices = malloc(set->n * sizeof(uint16_t)),
.encoding = chunk_clone(encoding),
);
pos = encoding.ptr;
for (i = 0; i < set->kappa; i++)
{
this->c_indices[i] = untoh16(pos);
pos += 2;
}
for (i = 0; i < set->n; i++)
{
this->z1[i] = (int16_t)untoh16(pos);
pos += 2;
}
for (i = 0; i < set->n; i++)
{
this->z2d[i] = (int8_t)(*pos++);
}
return &this->public;
}
@@ -0,0 +1,75 @@
/*
* Copyright (C) 2014 Andreas Steffen
* HSR Hochschule fuer Technik Rapperswil
*
* This program is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License as published by the
* Free Software Foundation; either version 2 of the License, or (at your
* option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
*
* This program 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 General Public License
* for more details.
*/
/**
* @defgroup bliss_signature bliss_signature
* @{ @ingroup bliss_p
*/
#ifndef BLISS_SIGNATURE_H_
#define BLISS_SIGNATURE_H_
typedef struct bliss_signature_t bliss_signature_t;
#include "bliss_param_set.h"
#include <library.h>
/**
* Public interface of BLISS signature object
*/
struct bliss_signature_t {
/**
* Get compressed binary encoding of BLISS signature
*
* @result binary encoding of BLISS signature
*/
chunk_t (*get_encoding)(bliss_signature_t *this);
/**
* Get signature parameters extracted from compressd binary encoding
*
* @param z1 signature vector z1 of size n
* @param z2d signature vector z2d of size n
* @param c_indices indices of sparse binary challenge vector of size kappa
*/
void (*get_parameters)(bliss_signature_t *this, int32_t **z1, int16_t **z2d,
uint16_t **c_indices);
/**
* Destroy bliss_signature_t object
*/
void (*destroy)(bliss_signature_t *this);
};
/**
* Create a BLISS signature object.
*
* @param set BLISS parameter set
*/
bliss_signature_t *bliss_signature_create(bliss_param_set_t *set);
/**
* Create a BLISS signature object from encoding.
*
* @param set BLISS parameter set
* @param encoding binary signature encoding
*/
bliss_signature_t *bliss_signature_create_from_data(bliss_param_set_t *set,
chunk_t encoding);
#endif /** BLISS_SIGNATURE_H_ @}*/
@@ -0,0 +1,167 @@
/*
* Copyright (C) 2014 Andreas Steffen
* HSR Hochschule fuer Technik Rapperswil
*
* This program is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License as published by the
* Free Software Foundation; either version 2 of the License, or (at your
* option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
*
* This program 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 General Public License
* for more details.
*/
#include "bliss_utils.h"
#include <asn1/asn1.h>
#include <crypto/hashers/hasher.h>
#include <utils/debug.h>
/**
* See header.
*/
int32_t bliss_utils_scalar_product(int32_t *x, int32_t *y, int n)
{
int32_t product = 0;
int i;
for (i = 0; i < n; i++)
{
product += x[i] * y[i];
}
return product;
}
/**
* See header.
*/
void bliss_utils_round_and_drop(bliss_param_set_t *set, int32_t *x, int16_t *xd)
{
int32_t factor;
int i;
factor = 1 << set->d;
for (i = 0; i < set->n; i++)
{
xd[i] = ((x[i] + (factor >> 1)) / factor) % set->p;
}
}
/**
* See header.
*/
bool bliss_utils_generate_c(hasher_t *hasher, chunk_t data_hash, uint16_t *ud,
int n, uint16_t kappa, uint16_t *c_indices)
{
int i, j;
uint64_t extra_bits;
uint16_t index, rounds = 0;
uint8_t hash[HASH_SIZE_SHA512], un16_buf[2];
chunk_t un16 = { un16_buf, 2 };
bool index_taken[n];
while (TRUE)
{
if (!hasher->get_hash(hasher, data_hash, NULL))
{
return FALSE;
}
for (i = 0; i < n; i++)
{
htoun16(un16_buf, ud[i]);
if (!hasher->get_hash(hasher, un16, NULL))
{
return FALSE;
}
index_taken[i] = FALSE;
}
htoun16(un16_buf, rounds++);
if (!hasher->get_hash(hasher, un16, hash))
{
return FALSE;
}
extra_bits = untoh64(hash + sizeof(hash) - sizeof(uint64_t));
for (i = 0, j = 0; j < sizeof(hash); j++)
{
index = 2 * (uint16_t)hash[i] + (extra_bits & 1);
if (!index_taken[index])
{
c_indices[i++] = index;
index_taken[index] = TRUE;
}
if (i == kappa)
{
return TRUE;
}
}
}
}
/**
* See header.
*/
bool bliss_utils_check_norms(bliss_param_set_t *set, int32_t *z1, int16_t *z2d)
{
int32_t z2ds[set->n];
int32_t z1_min, z1_max, norm;
int16_t z2d_min, z2d_max;
int i;
/* some statistics on the values of z1 and z2d */
z1_min = z1_max = z1[0];
z2d_min = z2d_max = z2d[0];
for (i = 1; i < set->n; i++)
{
if (z1[i] < z1_min)
{
z1_min = z1[i];
}
else if (z1[i] > z1_max)
{
z1_max = z1[i];
}
if (z2d[i] < z2d_min)
{
z2d_min = z2d[i];
}
else if (z2d[i] > z2d_max)
{
z2d_max = z2d[i];
}
}
DBG2(DBG_LIB, "z1 = %d..%d, z2d = %d..%d", z1_min, z1_max, z2d_min, z2d_max);
/* Restriction on infinite norm */
for (i = 0; i < set->n; i++)
{
z2ds[i] = (1 << set->d) * z2d[i];
if (z1[i] >= set->B_inf || z2ds[i] >= set->B_inf ||
z1[i] <= -set->B_inf || z2ds[i] <= -set->B_inf)
{
DBG2(DBG_LIB, "signature rejected due to excessive infinite norm");
return FALSE;
}
}
/* Restriction on l2-norm */
norm = bliss_utils_scalar_product(z1, z1, set->n) +
bliss_utils_scalar_product(z2ds, z2ds, set->n);
if (norm >= set->B_l2)
{
DBG2(DBG_LIB, "signature rejected due to excessive l2-norm");
return FALSE;
}
return TRUE;
}
@@ -0,0 +1,70 @@
/*
* Copyright (C) 2014 Andreas Steffen
* HSR Hochschule fuer Technik Rapperswil
*
* This program is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License as published by the
* Free Software Foundation; either version 2 of the License, or (at your
* option) any later version. See <http://www.fsf.org/copyleft/gpl.txt>.
*
* This program 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 General Public License
* for more details.
*/
/**
* @defgroup bliss_utils bliss_utils
* @{ @ingroup bliss_p
*/
#ifndef BLISS_UTILS_H_
#define BLISS_UTILS_H_
#include "bliss_param_set.h"
#include <library.h>
/**
* Compute the scalar product of two vectors of size n
*
* @param x input vector of size n
* @param y input vector of size n
* @param n size of input vectors x and y
* @result scalar product of x and y
*/
int32_t bliss_utils_scalar_product(int32_t *x, int32_t *y, int n);
/**
* Drop d bits but round first
*
* @param set BLISS parameter set
* @param x input vector x of size n
* @param xd rounded vector x with d bits dropped
*/
void bliss_utils_round_and_drop(bliss_param_set_t *set, int32_t *x, int16_t *xd);
/**
* Generate the binary challenge vector c as an array of kappa indices
*
* @param hasher hasher used as an oracle
* @param data_hash hash of the data to be signed
* @param ud input vector ud of size n
* @param n size of input vector ud
* @param kappa parameter kappa
* @param c_indices indexes of non-zero challenge coefficients
*/
bool bliss_utils_generate_c(hasher_t *hasher, chunk_t data_hash, uint16_t *ud,
int n, uint16_t kappa, uint16_t *c_indices);
/**
* Check the infinity and l2 norms of the vectors z1 and z2d << d
*
* @param set BLISS parameter set
* @param z1 input vector
* @param z2d input vector
* @result TRUE if infinite and l2 norms do not exceed boundaries
*/
bool bliss_utils_check_norms(bliss_param_set_t *set, int32_t *z1, int16_t *z2d);
#endif /** BLISS_UTILS_H_ @}*/