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      1 /*
      2  * EAP server/peer: EAP-pwd shared routines
      3  * Copyright (c) 2010, Dan Harkins <dharkins (at) lounge.org>
      4  *
      5  * This software may be distributed under the terms of the BSD license.
      6  * See README for more details.
      7  */
      8 
      9 #include "includes.h"
     10 #include "common.h"
     11 #include "crypto/sha256.h"
     12 #include "crypto/crypto.h"
     13 #include "eap_defs.h"
     14 #include "eap_pwd_common.h"
     15 
     16 /* The random function H(x) = HMAC-SHA256(0^32, x) */
     17 struct crypto_hash * eap_pwd_h_init(void)
     18 {
     19 	u8 allzero[SHA256_MAC_LEN];
     20 	os_memset(allzero, 0, SHA256_MAC_LEN);
     21 	return crypto_hash_init(CRYPTO_HASH_ALG_HMAC_SHA256, allzero,
     22 				SHA256_MAC_LEN);
     23 }
     24 
     25 
     26 void eap_pwd_h_update(struct crypto_hash *hash, const u8 *data, size_t len)
     27 {
     28 	crypto_hash_update(hash, data, len);
     29 }
     30 
     31 
     32 void eap_pwd_h_final(struct crypto_hash *hash, u8 *digest)
     33 {
     34 	size_t len = SHA256_MAC_LEN;
     35 	crypto_hash_finish(hash, digest, &len);
     36 }
     37 
     38 
     39 /* a counter-based KDF based on NIST SP800-108 */
     40 static int eap_pwd_kdf(const u8 *key, size_t keylen, const u8 *label,
     41 		       size_t labellen, u8 *result, size_t resultbitlen)
     42 {
     43 	struct crypto_hash *hash;
     44 	u8 digest[SHA256_MAC_LEN];
     45 	u16 i, ctr, L;
     46 	size_t resultbytelen, len = 0, mdlen;
     47 
     48 	resultbytelen = (resultbitlen + 7) / 8;
     49 	ctr = 0;
     50 	L = htons(resultbitlen);
     51 	while (len < resultbytelen) {
     52 		ctr++;
     53 		i = htons(ctr);
     54 		hash = crypto_hash_init(CRYPTO_HASH_ALG_HMAC_SHA256,
     55 					key, keylen);
     56 		if (hash == NULL)
     57 			return -1;
     58 		if (ctr > 1)
     59 			crypto_hash_update(hash, digest, SHA256_MAC_LEN);
     60 		crypto_hash_update(hash, (u8 *) &i, sizeof(u16));
     61 		crypto_hash_update(hash, label, labellen);
     62 		crypto_hash_update(hash, (u8 *) &L, sizeof(u16));
     63 		mdlen = SHA256_MAC_LEN;
     64 		if (crypto_hash_finish(hash, digest, &mdlen) < 0)
     65 			return -1;
     66 		if ((len + mdlen) > resultbytelen)
     67 			os_memcpy(result + len, digest, resultbytelen - len);
     68 		else
     69 			os_memcpy(result + len, digest, mdlen);
     70 		len += mdlen;
     71 	}
     72 
     73 	/* since we're expanding to a bit length, mask off the excess */
     74 	if (resultbitlen % 8) {
     75 		u8 mask = 0xff;
     76 		mask <<= (8 - (resultbitlen % 8));
     77 		result[resultbytelen - 1] &= mask;
     78 	}
     79 
     80 	return 0;
     81 }
     82 
     83 
     84 /*
     85  * compute a "random" secret point on an elliptic curve based
     86  * on the password and identities.
     87  */
     88 int compute_password_element(EAP_PWD_group *grp, u16 num,
     89 			     const u8 *password, size_t password_len,
     90 			     const u8 *id_server, size_t id_server_len,
     91 			     const u8 *id_peer, size_t id_peer_len,
     92 			     const u8 *token)
     93 {
     94 	BIGNUM *x_candidate = NULL, *rnd = NULL, *cofactor = NULL;
     95 	struct crypto_hash *hash;
     96 	unsigned char pwe_digest[SHA256_MAC_LEN], *prfbuf = NULL, ctr;
     97 	int nid, is_odd, ret = 0;
     98 	size_t primebytelen, primebitlen;
     99 
    100 	switch (num) { /* from IANA registry for IKE D-H groups */
    101         case 19:
    102 		nid = NID_X9_62_prime256v1;
    103 		break;
    104         case 20:
    105 		nid = NID_secp384r1;
    106 		break;
    107         case 21:
    108 		nid = NID_secp521r1;
    109 		break;
    110 #ifndef OPENSSL_IS_BORINGSSL
    111         case 25:
    112 		nid = NID_X9_62_prime192v1;
    113 		break;
    114 #endif /* OPENSSL_IS_BORINGSSL */
    115         case 26:
    116 		nid = NID_secp224r1;
    117 		break;
    118         default:
    119 		wpa_printf(MSG_INFO, "EAP-pwd: unsupported group %d", num);
    120 		return -1;
    121 	}
    122 
    123 	grp->pwe = NULL;
    124 	grp->order = NULL;
    125 	grp->prime = NULL;
    126 
    127 	if ((grp->group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
    128 		wpa_printf(MSG_INFO, "EAP-pwd: unable to create EC_GROUP");
    129 		goto fail;
    130 	}
    131 
    132 	if (((rnd = BN_new()) == NULL) ||
    133 	    ((cofactor = BN_new()) == NULL) ||
    134 	    ((grp->pwe = EC_POINT_new(grp->group)) == NULL) ||
    135 	    ((grp->order = BN_new()) == NULL) ||
    136 	    ((grp->prime = BN_new()) == NULL) ||
    137 	    ((x_candidate = BN_new()) == NULL)) {
    138 		wpa_printf(MSG_INFO, "EAP-pwd: unable to create bignums");
    139 		goto fail;
    140 	}
    141 
    142 	if (!EC_GROUP_get_curve_GFp(grp->group, grp->prime, NULL, NULL, NULL))
    143 	{
    144 		wpa_printf(MSG_INFO, "EAP-pwd: unable to get prime for GFp "
    145 			   "curve");
    146 		goto fail;
    147 	}
    148 	if (!EC_GROUP_get_order(grp->group, grp->order, NULL)) {
    149 		wpa_printf(MSG_INFO, "EAP-pwd: unable to get order for curve");
    150 		goto fail;
    151 	}
    152 	if (!EC_GROUP_get_cofactor(grp->group, cofactor, NULL)) {
    153 		wpa_printf(MSG_INFO, "EAP-pwd: unable to get cofactor for "
    154 			   "curve");
    155 		goto fail;
    156 	}
    157 	primebitlen = BN_num_bits(grp->prime);
    158 	primebytelen = BN_num_bytes(grp->prime);
    159 	if ((prfbuf = os_malloc(primebytelen)) == NULL) {
    160 		wpa_printf(MSG_INFO, "EAP-pwd: unable to malloc space for prf "
    161 			   "buffer");
    162 		goto fail;
    163 	}
    164 	os_memset(prfbuf, 0, primebytelen);
    165 	ctr = 0;
    166 	while (1) {
    167 		if (ctr > 30) {
    168 			wpa_printf(MSG_INFO, "EAP-pwd: unable to find random "
    169 				   "point on curve for group %d, something's "
    170 				   "fishy", num);
    171 			goto fail;
    172 		}
    173 		ctr++;
    174 
    175 		/*
    176 		 * compute counter-mode password value and stretch to prime
    177 		 *    pwd-seed = H(token | peer-id | server-id | password |
    178 		 *		   counter)
    179 		 */
    180 		hash = eap_pwd_h_init();
    181 		if (hash == NULL)
    182 			goto fail;
    183 		eap_pwd_h_update(hash, token, sizeof(u32));
    184 		eap_pwd_h_update(hash, id_peer, id_peer_len);
    185 		eap_pwd_h_update(hash, id_server, id_server_len);
    186 		eap_pwd_h_update(hash, password, password_len);
    187 		eap_pwd_h_update(hash, &ctr, sizeof(ctr));
    188 		eap_pwd_h_final(hash, pwe_digest);
    189 
    190 		BN_bin2bn(pwe_digest, SHA256_MAC_LEN, rnd);
    191 
    192 		if (eap_pwd_kdf(pwe_digest, SHA256_MAC_LEN,
    193 				(u8 *) "EAP-pwd Hunting And Pecking",
    194 				os_strlen("EAP-pwd Hunting And Pecking"),
    195 				prfbuf, primebitlen) < 0)
    196 			goto fail;
    197 
    198 		BN_bin2bn(prfbuf, primebytelen, x_candidate);
    199 
    200 		/*
    201 		 * eap_pwd_kdf() returns a string of bits 0..primebitlen but
    202 		 * BN_bin2bn will treat that string of bits as a big endian
    203 		 * number. If the primebitlen is not an even multiple of 8
    204 		 * then excessive bits-- those _after_ primebitlen-- so now
    205 		 * we have to shift right the amount we masked off.
    206 		 */
    207 		if (primebitlen % 8)
    208 			BN_rshift(x_candidate, x_candidate,
    209 				  (8 - (primebitlen % 8)));
    210 
    211 		if (BN_ucmp(x_candidate, grp->prime) >= 0)
    212 			continue;
    213 
    214 		wpa_hexdump(MSG_DEBUG, "EAP-pwd: x_candidate",
    215 			    prfbuf, primebytelen);
    216 
    217 		/*
    218 		 * need to unambiguously identify the solution, if there is
    219 		 * one...
    220 		 */
    221 		if (BN_is_odd(rnd))
    222 			is_odd = 1;
    223 		else
    224 			is_odd = 0;
    225 
    226 		/*
    227 		 * solve the quadratic equation, if it's not solvable then we
    228 		 * don't have a point
    229 		 */
    230 		if (!EC_POINT_set_compressed_coordinates_GFp(grp->group,
    231 							     grp->pwe,
    232 							     x_candidate,
    233 							     is_odd, NULL))
    234 			continue;
    235 		/*
    236 		 * If there's a solution to the equation then the point must be
    237 		 * on the curve so why check again explicitly? OpenSSL code
    238 		 * says this is required by X9.62. We're not X9.62 but it can't
    239 		 * hurt just to be sure.
    240 		 */
    241 		if (!EC_POINT_is_on_curve(grp->group, grp->pwe, NULL)) {
    242 			wpa_printf(MSG_INFO, "EAP-pwd: point is not on curve");
    243 			continue;
    244 		}
    245 
    246 		if (BN_cmp(cofactor, BN_value_one())) {
    247 			/* make sure the point is not in a small sub-group */
    248 			if (!EC_POINT_mul(grp->group, grp->pwe, NULL, grp->pwe,
    249 					  cofactor, NULL)) {
    250 				wpa_printf(MSG_INFO, "EAP-pwd: cannot "
    251 					   "multiply generator by order");
    252 				continue;
    253 			}
    254 			if (EC_POINT_is_at_infinity(grp->group, grp->pwe)) {
    255 				wpa_printf(MSG_INFO, "EAP-pwd: point is at "
    256 					   "infinity");
    257 				continue;
    258 			}
    259 		}
    260 		/* if we got here then we have a new generator. */
    261 		break;
    262 	}
    263 	wpa_printf(MSG_DEBUG, "EAP-pwd: found a PWE in %d tries", ctr);
    264 	grp->group_num = num;
    265 	if (0) {
    266  fail:
    267 		EC_GROUP_free(grp->group);
    268 		grp->group = NULL;
    269 		EC_POINT_clear_free(grp->pwe);
    270 		grp->pwe = NULL;
    271 		BN_clear_free(grp->order);
    272 		grp->order = NULL;
    273 		BN_clear_free(grp->prime);
    274 		grp->prime = NULL;
    275 		ret = 1;
    276 	}
    277 	/* cleanliness and order.... */
    278 	BN_clear_free(cofactor);
    279 	BN_clear_free(x_candidate);
    280 	BN_clear_free(rnd);
    281 	os_free(prfbuf);
    282 
    283 	return ret;
    284 }
    285 
    286 
    287 int compute_keys(EAP_PWD_group *grp, BN_CTX *bnctx, const BIGNUM *k,
    288 		 const BIGNUM *peer_scalar, const BIGNUM *server_scalar,
    289 		 const u8 *confirm_peer, const u8 *confirm_server,
    290 		 const u32 *ciphersuite, u8 *msk, u8 *emsk, u8 *session_id)
    291 {
    292 	struct crypto_hash *hash;
    293 	u8 mk[SHA256_MAC_LEN], *cruft;
    294 	u8 msk_emsk[EAP_MSK_LEN + EAP_EMSK_LEN];
    295 	int offset;
    296 
    297 	if ((cruft = os_malloc(BN_num_bytes(grp->prime))) == NULL)
    298 		return -1;
    299 
    300 	/*
    301 	 * first compute the session-id = TypeCode | H(ciphersuite | scal_p |
    302 	 *	scal_s)
    303 	 */
    304 	session_id[0] = EAP_TYPE_PWD;
    305 	hash = eap_pwd_h_init();
    306 	if (hash == NULL) {
    307 		os_free(cruft);
    308 		return -1;
    309 	}
    310 	eap_pwd_h_update(hash, (const u8 *) ciphersuite, sizeof(u32));
    311 	offset = BN_num_bytes(grp->order) - BN_num_bytes(peer_scalar);
    312 	os_memset(cruft, 0, BN_num_bytes(grp->prime));
    313 	BN_bn2bin(peer_scalar, cruft + offset);
    314 	eap_pwd_h_update(hash, cruft, BN_num_bytes(grp->order));
    315 	offset = BN_num_bytes(grp->order) - BN_num_bytes(server_scalar);
    316 	os_memset(cruft, 0, BN_num_bytes(grp->prime));
    317 	BN_bn2bin(server_scalar, cruft + offset);
    318 	eap_pwd_h_update(hash, cruft, BN_num_bytes(grp->order));
    319 	eap_pwd_h_final(hash, &session_id[1]);
    320 
    321 	/* then compute MK = H(k | confirm-peer | confirm-server) */
    322 	hash = eap_pwd_h_init();
    323 	if (hash == NULL) {
    324 		os_free(cruft);
    325 		return -1;
    326 	}
    327 	offset = BN_num_bytes(grp->prime) - BN_num_bytes(k);
    328 	os_memset(cruft, 0, BN_num_bytes(grp->prime));
    329 	BN_bn2bin(k, cruft + offset);
    330 	eap_pwd_h_update(hash, cruft, BN_num_bytes(grp->prime));
    331 	os_free(cruft);
    332 	eap_pwd_h_update(hash, confirm_peer, SHA256_MAC_LEN);
    333 	eap_pwd_h_update(hash, confirm_server, SHA256_MAC_LEN);
    334 	eap_pwd_h_final(hash, mk);
    335 
    336 	/* stretch the mk with the session-id to get MSK | EMSK */
    337 	if (eap_pwd_kdf(mk, SHA256_MAC_LEN,
    338 			session_id, SHA256_MAC_LEN + 1,
    339 			msk_emsk, (EAP_MSK_LEN + EAP_EMSK_LEN) * 8) < 0) {
    340 		return -1;
    341 	}
    342 
    343 	os_memcpy(msk, msk_emsk, EAP_MSK_LEN);
    344 	os_memcpy(emsk, msk_emsk + EAP_MSK_LEN, EAP_EMSK_LEN);
    345 
    346 	return 1;
    347 }
    348