SAE: Store commit scalars as bignum instead of octet string

This avoids unnecessary bignum initialization steps during the SAE
exchange.

Signed-hostap: Jouni Malinen <j@w1.fi>
This commit is contained in:
Jouni Malinen 2013-01-06 16:57:53 +02:00
parent 4df61ba5b9
commit b0f6124c1c
4 changed files with 104 additions and 100 deletions

View file

@ -74,6 +74,8 @@ void sae_clear_data(struct sae_data *sae)
crypto_bignum_deinit(sae->order_buf, 0);
crypto_bignum_deinit(sae->sae_rand, 1);
crypto_bignum_deinit(sae->pwe_ffc, 1);
crypto_bignum_deinit(sae->own_commit_scalar, 0);
crypto_bignum_deinit(sae->peer_commit_scalar, 0);
crypto_ec_point_deinit(sae->pwe_ecc, 1);
os_memset(sae, 0, sizeof(*sae));
}
@ -105,17 +107,6 @@ static int val_zero_or_one(const u8 *val, size_t len)
}
static int val_zero(const u8 *val, size_t len)
{
size_t i;
for (i = 0; i < len; i++) {
if (val[i])
return 0;
}
return 1;
}
static void buf_shift_right(u8 *buf, size_t len, size_t bits)
{
size_t i;
@ -303,7 +294,7 @@ static int sae_derive_pwe(struct sae_data *sae, const u8 *addr1,
static int sae_derive_commit(struct sae_data *sae)
{
struct crypto_bignum *x, *mask;
struct crypto_bignum *mask;
struct crypto_ec_point *elem;
int ret = -1;
@ -313,18 +304,20 @@ static int sae_derive_commit(struct sae_data *sae)
return -1;
}
x = crypto_bignum_init();
elem = crypto_ec_point_init(sae->ec);
if (x == NULL || elem == NULL)
if (elem == NULL)
goto fail;
if (!sae->own_commit_scalar) {
sae->own_commit_scalar = crypto_bignum_init();
if (!sae->own_commit_scalar)
goto fail;
}
/* commit-scalar = (rand + mask) modulo r */
crypto_bignum_add(sae->sae_rand, mask, x);
crypto_bignum_mod(x, sae->order, x);
crypto_bignum_to_bin(x, sae->own_commit_scalar,
sizeof(sae->own_commit_scalar), sae->prime_len);
wpa_hexdump(MSG_DEBUG, "SAE: commit-scalar",
sae->own_commit_scalar, sae->prime_len);
crypto_bignum_add(sae->sae_rand, mask, sae->own_commit_scalar);
crypto_bignum_mod(sae->own_commit_scalar, sae->order,
sae->own_commit_scalar);
/* COMMIT-ELEMENT = inverse(scalar-op(mask, PWE)) */
if (crypto_ec_point_mul(sae->ec, sae->pwe_ecc, mask, elem) < 0 ||
@ -345,7 +338,6 @@ static int sae_derive_commit(struct sae_data *sae)
fail:
crypto_ec_point_deinit(elem, 0);
crypto_bignum_deinit(mask, 1);
crypto_bignum_deinit(x, 1);
return ret;
}
@ -501,7 +493,7 @@ static int sae_derive_pwe_dh(struct sae_data *sae, const u8 *addr1,
static int sae_derive_commit_dh(struct sae_data *sae)
{
struct crypto_bignum *x, *mask, *elem;
struct crypto_bignum *mask, *elem;
int ret = -1;
mask = sae_get_rand_and_mask(sae);
@ -510,18 +502,20 @@ static int sae_derive_commit_dh(struct sae_data *sae)
return -1;
}
x = crypto_bignum_init();
elem = crypto_bignum_init();
if (x == NULL || elem == NULL)
if (elem == NULL)
goto fail;
if (!sae->own_commit_scalar) {
sae->own_commit_scalar = crypto_bignum_init();
if (!sae->own_commit_scalar)
goto fail;
}
/* commit-scalar = (rand + mask) modulo r */
crypto_bignum_add(sae->sae_rand, mask, x);
crypto_bignum_mod(x, sae->order, x);
crypto_bignum_to_bin(x, sae->own_commit_scalar,
sizeof(sae->own_commit_scalar), sae->prime_len);
wpa_hexdump(MSG_DEBUG, "SAE: commit-scalar",
sae->own_commit_scalar, sae->prime_len);
crypto_bignum_add(sae->sae_rand, mask, sae->own_commit_scalar);
crypto_bignum_mod(sae->own_commit_scalar, sae->order,
sae->own_commit_scalar);
/* COMMIT-ELEMENT = inverse(scalar-op(mask, PWE)) */
if (crypto_bignum_exptmod(sae->pwe_ffc, mask, sae->prime, elem) < 0 ||
@ -540,7 +534,6 @@ static int sae_derive_commit_dh(struct sae_data *sae)
fail:
crypto_bignum_deinit(elem, 0);
crypto_bignum_deinit(mask, 1);
crypto_bignum_deinit(x, 1);
return ret;
}
@ -576,17 +569,15 @@ int sae_prepare_commit(const u8 *addr1, const u8 *addr2,
static int sae_check_peer_commit(struct sae_data *sae)
{
u8 order[SAE_MAX_PRIME_LEN], prime[SAE_MAX_PRIME_LEN];
u8 prime[SAE_MAX_PRIME_LEN];
if (crypto_bignum_to_bin(sae->order, order, sizeof(order),
sae->prime_len) < 0 ||
crypto_bignum_to_bin(sae->prime, prime, sizeof(prime),
if (crypto_bignum_to_bin(sae->prime, prime, sizeof(prime),
sae->prime_len) < 0)
return -1;
/* 0 < scalar < r */
if (val_zero(sae->peer_commit_scalar, sae->prime_len) ||
os_memcmp(sae->peer_commit_scalar, order, sae->prime_len) >= 0) {
if (crypto_bignum_is_zero(sae->peer_commit_scalar) ||
crypto_bignum_cmp(sae->peer_commit_scalar, sae->order) >= 0) {
wpa_printf(MSG_DEBUG, "SAE: Invalid peer scalar");
return -1;
}
@ -617,14 +608,11 @@ static int sae_check_peer_commit(struct sae_data *sae)
static int sae_derive_k_ec(struct sae_data *sae, u8 *k)
{
struct crypto_ec_point *peer_elem, *K;
struct crypto_bignum *peer_scalar;
int ret = -1;
peer_scalar = crypto_bignum_init_set(sae->peer_commit_scalar,
sae->prime_len);
peer_elem = crypto_ec_point_from_bin(sae->ec, sae->peer_commit_element);
K = crypto_ec_point_init(sae->ec);
if (peer_elem == NULL || peer_scalar == NULL || K == NULL)
if (peer_elem == NULL || K == NULL)
goto fail;
if (!crypto_ec_point_is_on_curve(sae->ec, peer_elem)) {
@ -639,7 +627,8 @@ static int sae_derive_k_ec(struct sae_data *sae, u8 *k)
* k = F(K) (= x coordinate)
*/
if (crypto_ec_point_mul(sae->ec, sae->pwe_ecc, peer_scalar, K) < 0 ||
if (crypto_ec_point_mul(sae->ec, sae->pwe_ecc, sae->peer_commit_scalar,
K) < 0 ||
crypto_ec_point_add(sae->ec, K, peer_elem, K) < 0 ||
crypto_ec_point_mul(sae->ec, K, sae->sae_rand, K) < 0 ||
crypto_ec_point_is_at_infinity(sae->ec, K) ||
@ -660,15 +649,13 @@ fail:
static int sae_derive_k_dh(struct sae_data *sae, u8 *k)
{
struct crypto_bignum *peer_elem, *K, *peer_scalar;
struct crypto_bignum *peer_elem, *K;
int ret = -1;
peer_scalar = crypto_bignum_init_set(sae->peer_commit_scalar,
sae->prime_len);
peer_elem = crypto_bignum_init_set(sae->peer_commit_element,
sae->prime_len);
K = crypto_bignum_init();
if (peer_elem == NULL || peer_scalar == NULL || K == NULL)
if (peer_elem == NULL || K == NULL)
goto fail;
/*
@ -678,8 +665,8 @@ static int sae_derive_k_dh(struct sae_data *sae, u8 *k)
* k = F(K) (= x coordinate)
*/
if (crypto_bignum_exptmod(sae->pwe_ffc, peer_scalar, sae->prime, K) < 0
||
if (crypto_bignum_exptmod(sae->pwe_ffc, sae->peer_commit_scalar,
sae->prime, K) < 0 ||
crypto_bignum_mulmod(K, peer_elem, sae->prime, K) < 0 ||
crypto_bignum_exptmod(K, sae->sae_rand, sae->prime, K) < 0 ||
crypto_bignum_to_bin(K, k, SAE_MAX_PRIME_LEN, sae->prime_len) < 0 ||
@ -711,15 +698,11 @@ static int sae_derive_keys(struct sae_data *sae, const u8 *k)
u8 null_key[SAE_KEYSEED_KEY_LEN], val[SAE_MAX_PRIME_LEN];
u8 keyseed[SHA256_MAC_LEN];
u8 keys[SAE_KCK_LEN + SAE_PMK_LEN];
struct crypto_bignum *own_scalar, *peer_scalar, *tmp;
struct crypto_bignum *tmp;
int ret = -1;
own_scalar = crypto_bignum_init_set(sae->own_commit_scalar,
sae->prime_len);
peer_scalar = crypto_bignum_init_set(sae->peer_commit_scalar,
sae->prime_len);
tmp = crypto_bignum_init();
if (own_scalar == NULL || peer_scalar == NULL || tmp == NULL)
if (tmp == NULL)
goto fail;
/* keyseed = H(<0>32, k)
@ -732,7 +715,7 @@ static int sae_derive_keys(struct sae_data *sae, const u8 *k)
hmac_sha256(null_key, sizeof(null_key), k, sae->prime_len, keyseed);
wpa_hexdump_key(MSG_DEBUG, "SAE: keyseed", keyseed, sizeof(keyseed));
crypto_bignum_add(own_scalar, peer_scalar, tmp);
crypto_bignum_add(sae->own_commit_scalar, sae->peer_commit_scalar, tmp);
crypto_bignum_mod(tmp, sae->order, tmp);
crypto_bignum_to_bin(tmp, val, sizeof(val), sae->prime_len);
wpa_hexdump(MSG_DEBUG, "SAE: PMKID", val, SAE_PMKID_LEN);
@ -746,8 +729,6 @@ static int sae_derive_keys(struct sae_data *sae, const u8 *k)
ret = 0;
fail:
crypto_bignum_deinit(tmp, 0);
crypto_bignum_deinit(peer_scalar, 0);
crypto_bignum_deinit(own_scalar, 0);
return ret;
}
@ -769,7 +750,9 @@ void sae_write_commit(struct sae_data *sae, struct wpabuf *buf,
wpabuf_put_le16(buf, sae->group); /* Finite Cyclic Group */
if (token)
wpabuf_put_buf(buf, token);
wpabuf_put_data(buf, sae->own_commit_scalar, sae->prime_len);
crypto_bignum_to_bin(sae->own_commit_scalar,
wpabuf_put(buf, sae->prime_len), sae->prime_len,
sae->prime_len);
wpabuf_put_data(buf, sae->own_commit_element,
(sae->ec ? 2 : 1) * sae->prime_len);
}
@ -780,6 +763,7 @@ u16 sae_parse_commit(struct sae_data *sae, const u8 *data, size_t len,
{
const u8 *pos = data, *end = data + len;
u16 group;
struct crypto_bignum *peer_scalar;
wpa_hexdump(MSG_DEBUG, "SAE: Commit fields", data, len);
if (token)
@ -835,22 +819,27 @@ u16 sae_parse_commit(struct sae_data *sae, const u8 *data, size_t len,
return WLAN_STATUS_UNSPECIFIED_FAILURE;
}
peer_scalar = crypto_bignum_init_set(pos, sae->prime_len);
if (peer_scalar == NULL)
return WLAN_STATUS_UNSPECIFIED_FAILURE;
/*
* IEEE Std 802.11-2012, 11.3.8.6.1: If there is a protocol instance for
* the peer and it is in Authenticated state, the new Commit Message
* shall be dropped if the peer-scalar is identical to the one used in
* the existing protocol instance.
*/
if (sae->state == SAE_ACCEPTED &&
os_memcmp(sae->peer_commit_scalar, pos, sae->prime_len) == 0) {
if (sae->state == SAE_ACCEPTED && sae->peer_commit_scalar &&
crypto_bignum_cmp(sae->peer_commit_scalar, peer_scalar) == 0) {
wpa_printf(MSG_DEBUG, "SAE: Do not accept re-use of previous "
"peer-commit-scalar");
crypto_bignum_deinit(peer_scalar, 0);
return WLAN_STATUS_UNSPECIFIED_FAILURE;
}
os_memcpy(sae->peer_commit_scalar, pos, sae->prime_len);
wpa_hexdump(MSG_DEBUG, "SAE: Peer commit-scalar",
sae->peer_commit_scalar, sae->prime_len);
crypto_bignum_deinit(sae->peer_commit_scalar, 0);
sae->peer_commit_scalar = peer_scalar;
wpa_hexdump(MSG_DEBUG, "SAE: Peer commit-scalar", pos, sae->prime_len);
pos += sae->prime_len;
if (sae->dh) {
@ -881,43 +870,59 @@ u16 sae_parse_commit(struct sae_data *sae, const u8 *data, size_t len,
}
void sae_write_confirm(struct sae_data *sae, struct wpabuf *buf)
static void sae_cn_confirm(struct sae_data *sae, const u8 *sc,
const struct crypto_bignum *scalar1,
const u8 *element1,
const struct crypto_bignum *scalar2,
const u8 *element2, u8 *confirm)
{
const u8 *sc;
const u8 *addr[5];
size_t len[5];
/* Send-Confirm */
sc = wpabuf_put(buf, 0);
wpabuf_put_le16(buf, sae->send_confirm);
sae->send_confirm++;
u8 scalar_b1[SAE_MAX_PRIME_LEN], scalar_b2[SAE_MAX_PRIME_LEN];
/* Confirm
* CN(key, X, Y, Z, ...) =
* HMAC-SHA256(key, D2OS(X) || D2OS(Y) || D2OS(Z) | ...)
* confirm = CN(KCK, send-confirm, commit-scalar, COMMIT-ELEMENT,
* peer-commit-scalar, PEER-COMMIT-ELEMENT)
* verifier = CN(KCK, peer-send-confirm, peer-commit-scalar,
* PEER-COMMIT-ELEMENT, commit-scalar, COMMIT-ELEMENT)
*/
addr[0] = sc;
len[0] = 2;
addr[1] = sae->own_commit_scalar;
crypto_bignum_to_bin(scalar1, scalar_b1, sizeof(scalar_b1),
sae->prime_len);
addr[1] = scalar_b1;
len[1] = sae->prime_len;
addr[2] = sae->own_commit_element;
addr[2] = element1;
len[2] = (sae->ec ? 2 : 1) * sae->prime_len;
addr[3] = sae->peer_commit_scalar;
crypto_bignum_to_bin(scalar2, scalar_b2, sizeof(scalar_b2),
sae->prime_len);
addr[3] = scalar_b2;
len[3] = sae->prime_len;
addr[4] = sae->peer_commit_element;
addr[4] = element2;
len[4] = (sae->ec ? 2 : 1) * sae->prime_len;
hmac_sha256_vector(sae->kck, sizeof(sae->kck), 5, addr, len,
hmac_sha256_vector(sae->kck, sizeof(sae->kck), 5, addr, len, confirm);
}
void sae_write_confirm(struct sae_data *sae, struct wpabuf *buf)
{
const u8 *sc;
/* Send-Confirm */
sc = wpabuf_put(buf, 0);
wpabuf_put_le16(buf, sae->send_confirm);
sae->send_confirm++;
sae_cn_confirm(sae, sc, sae->own_commit_scalar, sae->own_commit_element,
sae->peer_commit_scalar, sae->peer_commit_element,
wpabuf_put(buf, SHA256_MAC_LEN));
}
int sae_check_confirm(struct sae_data *sae, const u8 *data, size_t len)
{
u16 rc;
const u8 *addr[5];
size_t elen[5];
u8 verifier[SHA256_MAC_LEN];
wpa_hexdump(MSG_DEBUG, "SAE: Confirm fields", data, len);
@ -927,26 +932,12 @@ int sae_check_confirm(struct sae_data *sae, const u8 *data, size_t len)
return -1;
}
rc = WPA_GET_LE16(data);
wpa_printf(MSG_DEBUG, "SAE: peer-send-confirm %u", rc);
wpa_printf(MSG_DEBUG, "SAE: peer-send-confirm %u", WPA_GET_LE16(data));
/* Confirm
* CN(key, X, Y, Z, ...) =
* HMAC-SHA256(key, D2OS(X) || D2OS(Y) || D2OS(Z) | ...)
* verifier = CN(KCK, peer-send-confirm, peer-commit-scalar,
* PEER-COMMIT-ELEMENT, commit-scalar, COMMIT-ELEMENT)
*/
addr[0] = data;
elen[0] = 2;
addr[1] = sae->peer_commit_scalar;
elen[1] = sae->prime_len;
addr[2] = sae->peer_commit_element;
elen[2] = (sae->ec ? 2 : 1) * sae->prime_len;
addr[3] = sae->own_commit_scalar;
elen[3] = sae->prime_len;
addr[4] = sae->own_commit_element;
elen[4] = (sae->ec ? 2 : 1) * sae->prime_len;
hmac_sha256_vector(sae->kck, sizeof(sae->kck), 5, addr, elen, verifier);
sae_cn_confirm(sae, data, sae->peer_commit_scalar,
sae->peer_commit_element,
sae->own_commit_scalar, sae->own_commit_element,
verifier);
if (os_memcmp(verifier, data + 2, SHA256_MAC_LEN) != 0) {
wpa_printf(MSG_DEBUG, "SAE: Confirm mismatch");

View file

@ -22,9 +22,9 @@ struct sae_data {
u16 send_confirm;
u8 kck[SAE_KCK_LEN];
u8 pmk[SAE_PMK_LEN];
u8 own_commit_scalar[SAE_MAX_PRIME_LEN];
struct crypto_bignum *own_commit_scalar;
u8 own_commit_element[2 * SAE_MAX_PRIME_LEN];
u8 peer_commit_scalar[SAE_MAX_PRIME_LEN];
struct crypto_bignum *peer_commit_scalar;
u8 peer_commit_element[2 * SAE_MAX_PRIME_LEN];
struct crypto_ec_point *pwe_ecc;
struct crypto_bignum *pwe_ffc;

View file

@ -605,6 +605,13 @@ int crypto_bignum_cmp(const struct crypto_bignum *a,
*/
int crypto_bignum_bits(const struct crypto_bignum *a);
/**
* crypto_bignum_is_zero - Is the given bignum zero
* @a: Bignum
* Returns: 1 if @a is zero or 0 if not
*/
int crypto_bignum_is_zero(const struct crypto_bignum *a);
/**
* struct crypto_ec - Elliptic curve context
*

View file

@ -1000,6 +1000,12 @@ int crypto_bignum_bits(const struct crypto_bignum *a)
}
int crypto_bignum_is_zero(const struct crypto_bignum *a)
{
return BN_is_zero((const BIGNUM *) a);
}
#ifdef CONFIG_ECC
struct crypto_ec {