wpa_supplicant: Update security patches from upstream

1. Adding security patch for SAE side channel attacks
2. Adding confirm message validation in error cases
3. Adding y coordinate for PWE in SAE
This commit is contained in:
gauri patankar 2022-10-10 15:34:50 +05:30
parent a01a64f02c
commit 929a1f8549
3 changed files with 230 additions and 239 deletions

View File

@ -17,6 +17,7 @@
#include "crypto/dh_groups.h"
#include "ieee802_11_defs.h"
#include "sae.h"
#include "dragonfly.h"
#include "esp_wifi_crypto_types.h"
int sae_set_group(struct sae_data *sae, int group)
@ -176,106 +177,14 @@ static void sae_pwd_seed_key(const u8 *addr1, const u8 *addr2, u8 *key)
}
}
static struct crypto_bignum *
get_rand_1_to_p_1(const u8 *prime, size_t prime_len, size_t prime_bits,
int *r_odd)
{
for (;;) {
struct crypto_bignum *r;
u8 tmp[SAE_MAX_ECC_PRIME_LEN];
if (random_get_bytes(tmp, prime_len) < 0)
break;
if (prime_bits % 8)
buf_shift_right(tmp, prime_len, 8 - prime_bits % 8);
if (os_memcmp(tmp, prime, prime_len) >= 0)
continue;
r = crypto_bignum_init_set(tmp, prime_len);
if (!r)
break;
if (crypto_bignum_is_zero(r)) {
crypto_bignum_deinit(r, 0);
continue;
}
*r_odd = tmp[prime_len - 1] & 0x01;
return r;
}
return NULL;
}
static int is_quadratic_residue_blind(struct sae_data *sae,
const u8 *prime, size_t bits,
const struct crypto_bignum *qr,
const struct crypto_bignum *qnr,
const struct crypto_bignum *y_sqr)
{
struct crypto_bignum *r, *num;
int r_odd, check, res = -1;
/*
* Use the blinding technique to mask y_sqr while determining
* whether it is a quadratic residue modulo p to avoid leaking
* timing information while determining the Legendre symbol.
*
* v = y_sqr
* r = a random number between 1 and p-1, inclusive
* num = (v * r * r) modulo p
*/
r = get_rand_1_to_p_1(prime, sae->tmp->prime_len, bits, &r_odd);
if (!r)
return ESP_FAIL;
num = crypto_bignum_init();
if (!num ||
crypto_bignum_mulmod(y_sqr, r, sae->tmp->prime, num) < 0 ||
crypto_bignum_mulmod(num, r, sae->tmp->prime, num) < 0)
goto fail;
if (r_odd) {
/*
* num = (num * qr) module p
* LGR(num, p) = 1 ==> quadratic residue
*/
if (crypto_bignum_mulmod(num, qr, sae->tmp->prime, num) < 0)
goto fail;
check = 1;
} else {
/*
* num = (num * qnr) module p
* LGR(num, p) = -1 ==> quadratic residue
*/
if (crypto_bignum_mulmod(num, qnr, sae->tmp->prime, num) < 0)
goto fail;
check = -1;
}
res = crypto_bignum_legendre(num, sae->tmp->prime);
if (res == -2) {
res = -1;
goto fail;
}
res = res == check;
fail:
crypto_bignum_deinit(num, 1);
crypto_bignum_deinit(r, 1);
return res;
}
static int sae_test_pwd_seed_ecc(struct sae_data *sae, const u8 *pwd_seed,
const u8 *prime,
const struct crypto_bignum *qr,
const struct crypto_bignum *qnr,
struct crypto_bignum **ret_x_cand)
const u8 *prime, const u8 *qr, const u8 *qnr,
u8 *pwd_value)
{
u8 pwd_value[SAE_MAX_ECC_PRIME_LEN];
struct crypto_bignum *y_sqr, *x_cand;
int res;
size_t bits;
*ret_x_cand = NULL;
wpa_hexdump_key(MSG_DEBUG, "SAE: pwd-seed", pwd_seed, SHA256_MAC_LEN);
/* pwd-value = KDF-z(pwd-seed, "SAE Hunting and Pecking", p) */
@ -284,7 +193,7 @@ static int sae_test_pwd_seed_ecc(struct sae_data *sae, const u8 *pwd_seed,
prime, sae->tmp->prime_len, pwd_value, bits) < 0)
return ESP_FAIL;
if (bits % 8)
buf_shift_right(pwd_value, sizeof(pwd_value), 8 - bits % 8);
buf_shift_right(pwd_value, sae->tmp->prime_len, 8 - bits % 8);
wpa_hexdump_key(MSG_DEBUG, "SAE: pwd-value",
pwd_value, sae->tmp->prime_len);
@ -295,30 +204,28 @@ static int sae_test_pwd_seed_ecc(struct sae_data *sae, const u8 *pwd_seed,
if (!x_cand)
return ESP_FAIL;
y_sqr = crypto_ec_point_compute_y_sqr(sae->tmp->ec, x_cand);
if (!y_sqr) {
crypto_bignum_deinit(x_cand, 1);
crypto_bignum_deinit(x_cand, 1);
if (!y_sqr)
return ESP_FAIL;
}
res = is_quadratic_residue_blind(sae, prime, bits, qr, qnr, y_sqr);
res = dragonfly_is_quadratic_residue_blind(sae->tmp->ec, qr, qnr,
y_sqr);
crypto_bignum_deinit(y_sqr, 1);
if (res <= 0) {
crypto_bignum_deinit(x_cand, 1);
return res;
}
*ret_x_cand = x_cand;
return 1;
return res;
}
/* Returns -1 on fatal failure, 0 if PWE cannot be derived from the provided
* pwd-seed, or 1 if a valid PWE was derived from pwd-seed. */
static int sae_test_pwd_seed_ffc(struct sae_data *sae, const u8 *pwd_seed,
struct crypto_bignum *pwe)
{
u8 pwd_value[SAE_MAX_PRIME_LEN];
size_t bits = sae->tmp->prime_len * 8;
u8 exp[1];
struct crypto_bignum *a, *b;
int res;
struct crypto_bignum *a, *b = NULL;
int res, is_val;
u8 pwd_value_valid;
wpa_hexdump_key(MSG_DEBUG, "SAE: pwd-seed", pwd_seed, SHA256_MAC_LEN);
@ -330,16 +237,30 @@ static int sae_test_pwd_seed_ffc(struct sae_data *sae, const u8 *pwd_seed,
wpa_hexdump_key(MSG_DEBUG, "SAE: pwd-value", pwd_value,
sae->tmp->prime_len);
if (os_memcmp(pwd_value, sae->tmp->dh->prime, sae->tmp->prime_len) >= 0)
{
wpa_printf(MSG_DEBUG, "SAE: pwd-value >= p");
return ESP_OK;
}
/* Check whether pwd-value < p */
res = const_time_memcmp(pwd_value, sae->tmp->dh->prime,
sae->tmp->prime_len);
/* pwd-value >= p is invalid, so res is < 0 for the valid cases and
* the negative sign can be used to fill the mask for constant time
* selection */
pwd_value_valid = const_time_fill_msb(res);
/* If pwd-value >= p, force pwd-value to be < p and perform the
* calculations anyway to hide timing difference. The derived PWE will
* be ignored in that case. */
pwd_value[0] = const_time_select_u8(pwd_value_valid, pwd_value[0], 0);
/* PWE = pwd-value^((p-1)/r) modulo p */
res = -1;
a = crypto_bignum_init_set(pwd_value, sae->tmp->prime_len);
if (!a)
goto fail;
/* This is an optimization based on the used group that does not depend
* on the password in any way, so it is fine to use separate branches
* for this step without constant time operations. */
if (sae->tmp->dh->safe_prime) {
/*
* r = (p-1)/2 for the group used here, so this becomes:
@ -353,68 +274,34 @@ static int sae_test_pwd_seed_ffc(struct sae_data *sae, const u8 *pwd_seed,
b = crypto_bignum_init_set(exp, sizeof(exp));
if (b == NULL ||
crypto_bignum_sub(sae->tmp->prime, b, b) < 0 ||
crypto_bignum_div(b, sae->tmp->order, b) < 0) {
crypto_bignum_deinit(b, 0);
b = NULL;
}
crypto_bignum_div(b, sae->tmp->order, b) < 0)
goto fail;
}
if (a == NULL || b == NULL)
res = -1;
else
res = crypto_bignum_exptmod(a, b, sae->tmp->prime, pwe);
crypto_bignum_deinit(a, 0);
crypto_bignum_deinit(b, 0);
if (!b)
goto fail;
if (res < 0) {
wpa_printf(MSG_DEBUG, "SAE: Failed to calculate PWE");
return ESP_FAIL;
}
res = crypto_bignum_exptmod(a, b, sae->tmp->prime, pwe);
if (res < 0)
goto fail;
/* if (PWE > 1) --> found */
if (crypto_bignum_is_zero(pwe) || crypto_bignum_is_one(pwe)) {
wpa_printf(MSG_DEBUG, "SAE: PWE <= 1");
return ESP_OK;
}
wpa_printf(MSG_DEBUG, "SAE: PWE found");
return 1;
}
static int get_random_qr_qnr(const u8 *prime, size_t prime_len,
const struct crypto_bignum *prime_bn,
size_t prime_bits, struct crypto_bignum **qr,
struct crypto_bignum **qnr)
{
*qr = NULL;
*qnr = NULL;
while (!(*qr) || !(*qnr)) {
u8 tmp[SAE_MAX_ECC_PRIME_LEN];
struct crypto_bignum *q;
int res;
if (random_get_bytes(tmp, prime_len) < 0)
break;
if (prime_bits % 8)
buf_shift_right(tmp, prime_len, 8 - prime_bits % 8);
if (os_memcmp(tmp, prime, prime_len) >= 0)
continue;
q = crypto_bignum_init_set(tmp, prime_len);
if (!q)
break;
res = crypto_bignum_legendre(q, prime_bn);
if (res == 1 && !(*qr))
*qr = q;
else if (res == -1 && !(*qnr))
*qnr = q;
else
crypto_bignum_deinit(q, 0);
}
return (*qr && *qnr) ? 0 : -1;
/* There were no fatal errors in calculations, so determine the return
* value using constant time operations. We get here for number of
* invalid cases which are cleared here after having performed all the
* computation. PWE is valid if pwd-value was less than prime and
* PWE > 1. Start with pwd-value check first and then use constant time
* operations to clear res to 0 if PWE is 0 or 1.
*/
res = const_time_select_u8(pwd_value_valid, 1, 0);
is_val = crypto_bignum_is_zero(pwe);
res = const_time_select_u8(const_time_is_zero(is_val), res, 0);
is_val = crypto_bignum_is_one(pwe);
res = const_time_select_u8(const_time_is_zero(is_val), res, 0);
fail:
crypto_bignum_deinit(a, 1);
crypto_bignum_deinit(b, 1);
return res;
}
static int sae_derive_pwe_ecc(struct sae_data *sae, const u8 *addr1,
@ -425,34 +312,42 @@ static int sae_derive_pwe_ecc(struct sae_data *sae, const u8 *addr1,
u8 addrs[2 * ETH_ALEN];
const u8 *addr[3];
size_t len[3];
u8 dummy_password[32];
size_t dummy_password_len;
u8 *dummy_password, *tmp_password;
int pwd_seed_odd = 0;
u8 prime[SAE_MAX_ECC_PRIME_LEN];
size_t prime_len;
struct crypto_bignum *x = NULL, *qr, *qnr;
size_t bits;
int res;
struct crypto_bignum *x = NULL, *y = NULL, *qr = NULL, *qnr = NULL;
u8 x_bin[SAE_MAX_ECC_PRIME_LEN];
u8 x_cand_bin[SAE_MAX_ECC_PRIME_LEN];
u8 qr_bin[SAE_MAX_ECC_PRIME_LEN];
u8 qnr_bin[SAE_MAX_ECC_PRIME_LEN];
u8 x_y[2 * SAE_MAX_ECC_PRIME_LEN];
int res = -1;
u8 found = 0; /* 0 (false) or 0xff (true) to be used as const_time_*
* mask */
unsigned int is_eq;
dummy_password_len = password_len;
if (dummy_password_len > sizeof(dummy_password))
dummy_password_len = sizeof(dummy_password);
if (random_get_bytes(dummy_password, dummy_password_len) < 0)
return ESP_FAIL;
os_memset(x_bin, 0, sizeof(x_bin));
dummy_password = os_malloc(password_len);
tmp_password = os_malloc(password_len);
if (!dummy_password || !tmp_password ||
random_get_bytes(dummy_password, password_len) < 0)
goto fail;
prime_len = sae->tmp->prime_len;
if (crypto_bignum_to_bin(sae->tmp->prime, prime, sizeof(prime),
prime_len) < 0)
return ESP_FAIL;
bits = crypto_ec_prime_len_bits(sae->tmp->ec);
goto fail;
/*
* Create a random quadratic residue (qr) and quadratic non-residue
* (qnr) modulo p for blinding purposes during the loop.
*/
if (get_random_qr_qnr(prime, prime_len, sae->tmp->prime, bits,
&qr, &qnr) < 0)
return ESP_FAIL;
if (dragonfly_get_random_qr_qnr(sae->tmp->prime, &qr, &qnr) < 0 ||
crypto_bignum_to_bin(qr, qr_bin, sizeof(qr_bin), prime_len) < 0 ||
crypto_bignum_to_bin(qnr, qnr_bin, sizeof(qnr_bin), prime_len) < 0)
goto fail;
wpa_hexdump_ascii_key(MSG_DEBUG, "SAE: password",
password, password_len);
@ -465,7 +360,7 @@ static int sae_derive_pwe_ecc(struct sae_data *sae, const u8 *addr1,
*/
sae_pwd_seed_key(addr1, addr2, addrs);
addr[0] = password;
addr[0] = tmp_password;
len[0] = password_len;
addr[1] = &counter;
len[1] = sizeof(counter);
@ -475,9 +370,8 @@ static int sae_derive_pwe_ecc(struct sae_data *sae, const u8 *addr1,
* attacks that attempt to determine the number of iterations required
* in the loop.
*/
for (counter = 1; counter <= k || !x; counter++) {
for (counter = 1; counter <= k || !found; counter++) {
u8 pwd_seed[SHA256_MAC_LEN];
struct crypto_bignum *x_cand;
if (counter > 200) {
/* This should not happen in practice */
@ -485,79 +379,119 @@ static int sae_derive_pwe_ecc(struct sae_data *sae, const u8 *addr1,
break;
}
wpa_printf(MSG_DEBUG, "SAE: counter = %u", counter);
wpa_printf(MSG_DEBUG, "SAE: counter = %03u", counter);
const_time_select_bin(found, dummy_password, password,
password_len, tmp_password);
if (hmac_sha256_vector(addrs, sizeof(addrs), 2,
addr, len, pwd_seed) < 0)
break;
res = sae_test_pwd_seed_ecc(sae, pwd_seed,
prime, qr, qnr, &x_cand);
prime, qr_bin, qnr_bin, x_cand_bin);
const_time_select_bin(found, x_bin, x_cand_bin, prime_len,
x_bin);
pwd_seed_odd = const_time_select_u8(
found, pwd_seed_odd,
pwd_seed[SHA256_MAC_LEN - 1] & 0x01);
os_memset(pwd_seed, 0, sizeof(pwd_seed));
if (res < 0)
goto fail;
if (res > 0 && !x) {
wpa_printf(MSG_DEBUG,
"SAE: Selected pwd-seed with counter %u",
counter);
x = x_cand;
pwd_seed_odd = pwd_seed[SHA256_MAC_LEN - 1] & 0x01;
os_memset(pwd_seed, 0, sizeof(pwd_seed));
/* Need to minimize differences in handling res == 0 and 1 here
* to avoid differences in timing and instruction cache access,
* so use const_time_select_*() to make local copies of the
* values based on whether this loop iteration was the one that
* found the pwd-seed/x. */
/*
* Use a dummy password for the following rounds, if
* any.
*/
addr[0] = dummy_password;
len[0] = dummy_password_len;
} else if (res > 0) {
crypto_bignum_deinit(x_cand, 1);
}
/* found is 0 or 0xff here and res is 0 or 1. Bitwise OR of them
* (with res converted to 0/0xff) handles this in constant time.
*/
found |= res * 0xff;
wpa_printf(MSG_DEBUG, "SAE: pwd-seed result %d found=0x%02x",
res, found);
}
if (!x) {
if (!found) {
wpa_printf(MSG_DEBUG, "SAE: Could not generate PWE");
res = -1;
goto fail;
}
if (!sae->tmp->pwe_ecc)
sae->tmp->pwe_ecc = crypto_ec_point_init(sae->tmp->ec);
if (!sae->tmp->pwe_ecc)
x = crypto_bignum_init_set(x_bin, prime_len);
if (!x) {
res = -1;
else
res = crypto_ec_point_solve_y_coord(sae->tmp->ec,
sae->tmp->pwe_ecc, x,
pwd_seed_odd);
crypto_bignum_deinit(x, 1);
if (res < 0) {
/*
* This should not happen since we already checked that there
* is a result.
*/
goto fail;
}
/* y = sqrt(x^3 + ax + b) mod p
* if LSB(save) == LSB(y): PWE = (x, y)
* else: PWE = (x, p - y)
*
* Calculate y and the two possible values for PWE and after that,
* use constant time selection to copy the correct alternative.
*/
y = crypto_ec_point_compute_y_sqr(sae->tmp->ec, x);
if (!y ||
dragonfly_sqrt(sae->tmp->ec, y, y) < 0 ||
crypto_bignum_to_bin(y, x_y, SAE_MAX_ECC_PRIME_LEN,
prime_len) < 0 ||
crypto_bignum_sub(sae->tmp->prime, y, y) < 0 ||
crypto_bignum_to_bin(y, x_y + SAE_MAX_ECC_PRIME_LEN,
SAE_MAX_ECC_PRIME_LEN, prime_len) < 0) {
wpa_printf(MSG_DEBUG, "SAE: Could not solve y");
goto fail;
}
is_eq = const_time_eq(pwd_seed_odd, x_y[prime_len - 1] & 0x01);
const_time_select_bin(is_eq, x_y, x_y + SAE_MAX_ECC_PRIME_LEN,
prime_len, x_y + prime_len);
os_memcpy(x_y, x_bin, prime_len);
wpa_hexdump_key(MSG_DEBUG, "SAE: PWE", x_y, 2 * prime_len);
crypto_ec_point_deinit(sae->tmp->pwe_ecc, 1);
sae->tmp->pwe_ecc = crypto_ec_point_from_bin(sae->tmp->ec, x_y);
if (!sae->tmp->pwe_ecc) {
wpa_printf(MSG_DEBUG, "SAE: Could not generate PWE");
res = -1;
}
fail:
forced_memzero(x_y, sizeof(x_y));
crypto_bignum_deinit(qr, 0);
crypto_bignum_deinit(qnr, 0);
crypto_bignum_deinit(y, 1);
os_free(dummy_password);
bin_clear_free(tmp_password, password_len);
crypto_bignum_deinit(x, 1);
os_memset(x_bin, 0, sizeof(x_bin));
os_memset(x_cand_bin, 0, sizeof(x_cand_bin));
return res;
}
static int sae_modp_group_require_masking(int group)
{
/* Groups for which pwd-value is likely to be >= p frequently */
return group == 22 || group == 23 || group == 24;
}
static int sae_derive_pwe_ffc(struct sae_data *sae, const u8 *addr1,
const u8 *addr2, const u8 *password,
size_t password_len)
{
u8 counter;
u8 counter, k, sel_counter = 0;
u8 addrs[2 * ETH_ALEN];
const u8 *addr[3];
size_t len[3];
int found = 0;
u8 found = 0; /* 0 (false) or 0xff (true) to be used as const_time_*
* mask */
u8 mask;
struct crypto_bignum *pwe;
size_t prime_len = sae->tmp->prime_len * 8;
u8 *pwe_buf;
crypto_bignum_deinit(sae->tmp->pwe_ffc, 1);
sae->tmp->pwe_ffc = NULL;
if (sae->tmp->pwe_ffc == NULL) {
sae->tmp->pwe_ffc = crypto_bignum_init();
if (sae->tmp->pwe_ffc == NULL)
return ESP_FAIL;
}
/* Allocate a buffer to maintain selected and candidate PWE for constant
* time selection. */
pwe_buf = os_zalloc(prime_len * 2);
pwe = crypto_bignum_init();
if (!pwe_buf || !pwe)
goto fail;
wpa_hexdump_ascii_key(MSG_DEBUG, "SAE: password",
password, password_len);
@ -574,8 +508,10 @@ static int sae_derive_pwe_ffc(struct sae_data *sae, const u8 *addr1,
addr[1] = &counter;
len[1] = sizeof(counter);
for (counter = 1; !found; counter++) {
u8 pwd_seed[SHA256_MAC_LEN];
k = sae_modp_group_require_masking(sae->group) ? 40 : 1;
for (counter = 1; counter <= k || !found; counter++) {
u8 pwd_seed[SHA256_MAC_LEN];
int res;
if (counter > 200) {
@ -584,20 +520,35 @@ static int sae_derive_pwe_ffc(struct sae_data *sae, const u8 *addr1,
break;
}
wpa_printf(MSG_DEBUG, "SAE: counter = %u", counter);
wpa_printf(MSG_DEBUG, "SAE: counter = %02u", counter);
if (hmac_sha256_vector(addrs, sizeof(addrs), 2,
addr, len, pwd_seed) < 0)
break;
res = sae_test_pwd_seed_ffc(sae, pwd_seed, sae->tmp->pwe_ffc);
res = sae_test_pwd_seed_ffc(sae, pwd_seed, pwe);
/* res is -1 for fatal failure, 0 if a valid PWE was not found,
* or 1 if a valid PWE was found. */
if (res < 0)
break;
if (res > 0) {
wpa_printf(MSG_DEBUG, "SAE: Use this PWE");
found = 1;
}
/* Store the candidate PWE into the second half of pwe_buf and
* the selected PWE in the beginning of pwe_buf using constant
* time selection. */
if (crypto_bignum_to_bin(pwe, pwe_buf + prime_len, prime_len,
prime_len) < 0)
break;
const_time_select_bin(found, pwe_buf, pwe_buf + prime_len,
prime_len, pwe_buf);
sel_counter = const_time_select_u8(found, sel_counter, counter);
mask = const_time_eq_u8(res, 1);
found = const_time_select_u8(found, found, mask);
}
return found ? 0 : -1;
if (!found)
goto fail;
wpa_printf(MSG_DEBUG, "SAE: Use PWE from counter = %02u", sel_counter);
sae->tmp->pwe_ffc = crypto_bignum_init_set(pwe_buf, prime_len);
fail:
crypto_bignum_deinit(pwe, 1);
bin_clear_free(pwe_buf, prime_len * 2);
return sae->tmp->pwe_ffc ? 0 : -1;
}
static int hkdf_extract(size_t hash_len, const u8 *salt, size_t salt_len,
@ -2308,6 +2259,9 @@ int sae_check_confirm(struct sae_data *sae, const u8 *data, size_t len)
}
if (sae->tmp->ec) {
if (!sae->tmp->peer_commit_element_ecc ||
!sae->tmp->own_commit_element_ecc)
return ESP_FAIL;
if (sae_cn_confirm_ecc(sae, data, sae->peer_commit_scalar,
sae->tmp->peer_commit_element_ecc,
sae->tmp->own_commit_scalar,
@ -2317,6 +2271,9 @@ int sae_check_confirm(struct sae_data *sae, const u8 *data, size_t len)
return ESP_FAIL;
}
} else {
if (!sae->tmp->peer_commit_element_ffc ||
!sae->tmp->own_commit_element_ffc)
return ESP_FAIL;
if (sae_cn_confirm_ffc(sae, data, sae->peer_commit_scalar,
sae->tmp->peer_commit_element_ffc,
sae->tmp->own_commit_scalar,

View File

@ -663,6 +663,18 @@ int crypto_bignum_mulmod(const struct crypto_bignum *a,
int crypto_bignum_sqrmod(const struct crypto_bignum *a,
const struct crypto_bignum *b,
struct crypto_bignum *c);
/**
* crypto_bignum_sqrtmod - returns sqrt(a) (mod b)
* @a: Bignum
* @b: Bignum
* @c: Bignum; used to store the result
* Returns: 0 on success, -1 on failure
*/
int crypto_bignum_sqrtmod(const struct crypto_bignum *a,
const struct crypto_bignum *b,
struct crypto_bignum *c);
/**
* crypto_bignum_rshift - r = a >> n
* @a: Bignum
@ -703,6 +715,13 @@ int crypto_bignum_is_zero(const struct crypto_bignum *a);
*/
int crypto_bignum_is_one(const struct crypto_bignum *a);
/**
* crypto_bignum_is_odd - Is the given bignum odd
* @a: Bignum
* Returns: 1 if @a is odd or 0 if not
*/
int crypto_bignum_is_odd(const struct crypto_bignum *a);
/**
* crypto_bignum_legendre - Compute the Legendre symbol (a/p)
* @a: Bignum

View File

@ -16,6 +16,11 @@
#include "sha256.h"
#include "mbedtls/pk.h"
static int crypto_rng_wrapper(void *ctx, unsigned char *buf, size_t len)
{
return random_get_bytes(buf, len);
}
struct crypto_bignum *crypto_bignum_init(void)
{
mbedtls_mpi *bn = os_zalloc(sizeof(mbedtls_mpi));
@ -235,6 +240,16 @@ int crypto_bignum_is_one(const struct crypto_bignum *a)
return (mbedtls_mpi_cmp_int((const mbedtls_mpi *) a, 1) == 0);
}
int crypto_bignum_is_odd(const struct crypto_bignum *a)
{
return (mbedtls_mpi_get_bit((const mbedtls_mpi *) a, 0) == 1);
}
int crypto_bignum_rand(struct crypto_bignum *r, const struct crypto_bignum *m)
{
return ((mbedtls_mpi_random((mbedtls_mpi *) r, 0, (const mbedtls_mpi *) m,
crypto_rng_wrapper, NULL) != 0) ? -1 : 0);
}
int crypto_bignum_legendre(const struct crypto_bignum *a,
const struct crypto_bignum *p)