/* * Simultaneous authentication of equals * Copyright (c) 2012, Jouni Malinen * * This software may be distributed under the terms of the BSD license. * See README for more details. */ #include "includes.h" /* TODO: move OpenSSL dependencies into crypto/crypto_openssl.c */ #include #include #include #include "common.h" #include "crypto/sha256.h" #include "crypto/random.h" #include "sae.h" static const u8 group19_prime[] = { 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }; static const u8 group19_order[] = { 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xBC, 0xE6, 0xFA, 0xAD, 0xA7, 0x17, 0x9E, 0x84, 0xF3, 0xB9, 0xCA, 0xC2, 0xFC, 0x63, 0x25, 0x51 }; static int val_zero_or_one(const u8 *val, size_t len) { size_t i; for (i = 0; i < len - 1; i++) { if (val[i]) return 0; } return val[len - 1] <= 1; } static int sae_get_rand(u8 *val) { int iter = 0; do { if (random_get_bytes(val, sizeof(group19_prime)) < 0) return -1; if (iter++ > 100) return -1; } while (os_memcmp(val, group19_order, sizeof(group19_prime)) >= 0 || val_zero_or_one(val, sizeof(group19_prime))); return 0; } static void sae_bn_to_bin(const BIGNUM *bn, u8 *bin, size_t len) { int offset = len - BN_num_bytes(bn); os_memset(bin, 0, offset); BN_bn2bin(bn, bin + offset); } static int sae_ec_point_to_bin(BN_CTX *bnctx, EC_GROUP *group, EC_POINT *point, u8 *bin) { BIGNUM *x, *y; int ret = -1; x = BN_new(); y = BN_new(); if (x && y && EC_POINT_get_affine_coordinates_GFp(group, point, x, y, bnctx)) { sae_bn_to_bin(x, bin, 32); sae_bn_to_bin(y, bin + 32, 32); ret = 0; } BN_free(x); BN_free(y); return ret; } static void sae_pwd_seed_key(const u8 *addr1, const u8 *addr2, u8 *key) { wpa_printf(MSG_DEBUG, "SAE: PWE derivation - addr1=" MACSTR " addr2=" MACSTR, MAC2STR(addr1), MAC2STR(addr2)); if (os_memcmp(addr1, addr2, ETH_ALEN) > 0) { os_memcpy(key, addr1, ETH_ALEN); os_memcpy(key + ETH_ALEN, addr2, ETH_ALEN); } else { os_memcpy(key, addr2, ETH_ALEN); os_memcpy(key + ETH_ALEN, addr1, ETH_ALEN); } } static int sae_test_pwd_seed(BN_CTX *bnctx, EC_GROUP *group, const u8 *pwd_seed, EC_POINT *pwe, u8 *pwe_bin) { u8 pwd_value[32]; BIGNUM *x; int y_bit; wpa_hexdump_key(MSG_DEBUG, "SAE: pwd-seed", pwd_seed, 32); /* pwd-value = KDF-z(pwd-seed, "SAE Hunting and Pecking", p) */ sha256_prf(pwd_seed, 32, "SAE Hunting and Pecking", group19_prime, sizeof(group19_prime), pwd_value, sizeof(pwd_value)); wpa_hexdump_key(MSG_DEBUG, "SAE: pwd-value", pwd_value, sizeof(pwd_value)); if (os_memcmp(pwd_value, group19_prime, sizeof(group19_prime)) >= 0) return 0; y_bit = pwd_seed[SHA256_MAC_LEN - 1] & 0x01; x = BN_bin2bn(pwd_value, sizeof(pwd_value), NULL); if (x == NULL) return -1; if (!EC_POINT_set_compressed_coordinates_GFp(group, pwe, x, y_bit, bnctx) || !EC_POINT_is_on_curve(group, pwe, bnctx)) { BN_free(x); wpa_printf(MSG_DEBUG, "SAE: No solution found"); return 0; } BN_free(x); wpa_printf(MSG_DEBUG, "SAE: PWE found"); if (sae_ec_point_to_bin(bnctx, group, pwe, pwe_bin) < 0) return -1; wpa_hexdump_key(MSG_DEBUG, "SAE: PWE x", pwe_bin, 32); wpa_hexdump_key(MSG_DEBUG, "SAE: PWE y", pwe_bin + 32, 32); return 1; } static int sae_derive_pwe(BN_CTX *bnctx, EC_GROUP *group, const u8 *addr1, const u8 *addr2, const u8 *password, size_t password_len, EC_POINT *pwe, u8 *pwe_bin) { u8 counter, k = 4; u8 addrs[2 * ETH_ALEN]; const u8 *addr[2]; size_t len[2]; int found = 0; EC_POINT *pwe_tmp; u8 pwe_bin_tmp[2 * 32]; pwe_tmp = EC_POINT_new(group); if (pwe_tmp == NULL) return -1; wpa_hexdump_ascii_key(MSG_DEBUG, "SAE: password", password, password_len); /* * H(salt, ikm) = HMAC-SHA256(salt, ikm) * pwd-seed = H(MAX(STA-A-MAC, STA-B-MAC) || MIN(STA-A-MAC, STA-B-MAC), * password || counter) */ sae_pwd_seed_key(addr1, addr2, addrs); addr[0] = password; len[0] = password_len; addr[1] = &counter; len[1] = sizeof(counter); /* * Continue for at least k iterations to protect against side-channel * attacks that attempt to determine the number of iterations required * in the loop. */ for (counter = 1; counter < k || !found; counter++) { u8 pwd_seed[SHA256_MAC_LEN]; int res; wpa_printf(MSG_DEBUG, "SAE: counter = %u", counter); if (hmac_sha256_vector(addrs, sizeof(addrs), 2, addr, len, pwd_seed) < 0) break; res = sae_test_pwd_seed(bnctx, group, pwd_seed, found ? pwe_tmp : pwe, found ? pwe_bin_tmp : pwe_bin); if (res < 0) break; if (res == 0) continue; if (found) { wpa_printf(MSG_DEBUG, "SAE: Ignore this PWE (one was " "already selected)"); } else { wpa_printf(MSG_DEBUG, "SAE: Use this PWE"); found = 1; } if (counter > 200) { /* This should not happen in practice */ wpa_printf(MSG_DEBUG, "SAE: Failed to derive PWE"); break; } } EC_POINT_clear_free(pwe_tmp); return found ? 0 : -1; } static int sae_derive_commit(struct sae_data *sae, BN_CTX *bnctx, EC_GROUP *group, EC_POINT *pwe) { BIGNUM *x, *bn_rand, *bn_mask, *order; EC_POINT *elem; u8 mask[32]; int ret = -1; if (sae_get_rand(sae->sae_rand) < 0 || sae_get_rand(mask) < 0) return -1; wpa_hexdump_key(MSG_DEBUG, "SAE: rand", sae->sae_rand, sizeof(sae->sae_rand)); wpa_hexdump_key(MSG_DEBUG, "SAE: mask", mask, sizeof(mask)); x = BN_new(); bn_rand = BN_bin2bn(sae->sae_rand, 32, NULL); bn_mask = BN_bin2bn(mask, sizeof(mask), NULL); order = BN_bin2bn(group19_order, sizeof(group19_order), NULL); elem = EC_POINT_new(group); if (x == NULL || bn_rand == NULL || bn_mask == NULL || order == NULL || elem == NULL) goto fail; /* commit-scalar = (rand + mask) modulo r */ BN_add(x, bn_rand, bn_mask); BN_mod(x, x, order, bnctx); sae_bn_to_bin(x, sae->own_commit_scalar, 32); wpa_hexdump(MSG_DEBUG, "SAE: commit-scalar", sae->own_commit_scalar, 32); /* COMMIT-ELEMENT = inverse(scalar-op(mask, PWE)) */ if (!EC_POINT_mul(group, elem, NULL, pwe, bn_mask, bnctx) || !EC_POINT_invert(group, elem, bnctx) || sae_ec_point_to_bin(bnctx, group, elem, sae->own_commit_element) < 0) goto fail; wpa_hexdump(MSG_DEBUG, "SAE: commit-element x", sae->own_commit_element, 32); wpa_hexdump(MSG_DEBUG, "SAE: commit-element y", sae->own_commit_element + 32, 32); ret = 0; fail: EC_POINT_free(elem); BN_free(order); BN_clear_free(bn_mask); os_memset(mask, 0, sizeof(mask)); BN_clear_free(bn_rand); BN_clear_free(x); return ret; } int sae_prepare_commit(const u8 *addr1, const u8 *addr2, const u8 *password, size_t password_len, struct sae_data *sae) { BN_CTX *bnctx; EC_POINT *pwe; EC_GROUP *group; int ret = 0; bnctx = BN_CTX_new(); group = EC_GROUP_new_by_curve_name(NID_X9_62_prime256v1); pwe = EC_POINT_new(group); if (bnctx == NULL || group == NULL || pwe == NULL || sae_derive_pwe(bnctx, group, addr1, addr2, password, password_len, pwe, sae->pwe) < 0 || sae_derive_commit(sae, bnctx, group, pwe) < 0) ret = -1; EC_POINT_clear_free(pwe); EC_GROUP_free(group); BN_CTX_free(bnctx); return ret; } void sae_write_commit(struct sae_data *sae, struct wpabuf *buf) { wpabuf_put_le16(buf, 19); /* Finite Cyclic Group */ /* TODO: Anti-Clogging Token (if requested) */ wpabuf_put_data(buf, sae->own_commit_scalar, 32); wpabuf_put_data(buf, sae->own_commit_element, 2 * 32); }