Dmitry Shmidt | 8d520ff | 2011-05-09 14:06:53 -0700 | [diff] [blame] | 1 | /* |
| 2 | * RSA |
| 3 | * Copyright (c) 2006, Jouni Malinen <j@w1.fi> |
| 4 | * |
Dmitry Shmidt | c5ec7f5 | 2012-03-06 16:33:24 -0800 | [diff] [blame^] | 5 | * This software may be distributed under the terms of the BSD license. |
| 6 | * See README for more details. |
Dmitry Shmidt | 8d520ff | 2011-05-09 14:06:53 -0700 | [diff] [blame] | 7 | */ |
| 8 | |
| 9 | #include "includes.h" |
| 10 | |
| 11 | #include "common.h" |
| 12 | #include "asn1.h" |
| 13 | #include "bignum.h" |
| 14 | #include "rsa.h" |
| 15 | |
| 16 | |
| 17 | struct crypto_rsa_key { |
| 18 | int private_key; /* whether private key is set */ |
| 19 | struct bignum *n; /* modulus (p * q) */ |
| 20 | struct bignum *e; /* public exponent */ |
| 21 | /* The following parameters are available only if private_key is set */ |
| 22 | struct bignum *d; /* private exponent */ |
| 23 | struct bignum *p; /* prime p (factor of n) */ |
| 24 | struct bignum *q; /* prime q (factor of n) */ |
| 25 | struct bignum *dmp1; /* d mod (p - 1); CRT exponent */ |
| 26 | struct bignum *dmq1; /* d mod (q - 1); CRT exponent */ |
| 27 | struct bignum *iqmp; /* 1 / q mod p; CRT coefficient */ |
| 28 | }; |
| 29 | |
| 30 | |
| 31 | static const u8 * crypto_rsa_parse_integer(const u8 *pos, const u8 *end, |
| 32 | struct bignum *num) |
| 33 | { |
| 34 | struct asn1_hdr hdr; |
| 35 | |
| 36 | if (pos == NULL) |
| 37 | return NULL; |
| 38 | |
| 39 | if (asn1_get_next(pos, end - pos, &hdr) < 0 || |
| 40 | hdr.class != ASN1_CLASS_UNIVERSAL || hdr.tag != ASN1_TAG_INTEGER) { |
| 41 | wpa_printf(MSG_DEBUG, "RSA: Expected INTEGER - found class %d " |
| 42 | "tag 0x%x", hdr.class, hdr.tag); |
| 43 | return NULL; |
| 44 | } |
| 45 | |
| 46 | if (bignum_set_unsigned_bin(num, hdr.payload, hdr.length) < 0) { |
| 47 | wpa_printf(MSG_DEBUG, "RSA: Failed to parse INTEGER"); |
| 48 | return NULL; |
| 49 | } |
| 50 | |
| 51 | return hdr.payload + hdr.length; |
| 52 | } |
| 53 | |
| 54 | |
| 55 | /** |
| 56 | * crypto_rsa_import_public_key - Import an RSA public key |
| 57 | * @buf: Key buffer (DER encoded RSA public key) |
| 58 | * @len: Key buffer length in bytes |
| 59 | * Returns: Pointer to the public key or %NULL on failure |
| 60 | */ |
| 61 | struct crypto_rsa_key * |
| 62 | crypto_rsa_import_public_key(const u8 *buf, size_t len) |
| 63 | { |
| 64 | struct crypto_rsa_key *key; |
| 65 | struct asn1_hdr hdr; |
| 66 | const u8 *pos, *end; |
| 67 | |
| 68 | key = os_zalloc(sizeof(*key)); |
| 69 | if (key == NULL) |
| 70 | return NULL; |
| 71 | |
| 72 | key->n = bignum_init(); |
| 73 | key->e = bignum_init(); |
| 74 | if (key->n == NULL || key->e == NULL) { |
| 75 | crypto_rsa_free(key); |
| 76 | return NULL; |
| 77 | } |
| 78 | |
| 79 | /* |
| 80 | * PKCS #1, 7.1: |
| 81 | * RSAPublicKey ::= SEQUENCE { |
| 82 | * modulus INTEGER, -- n |
| 83 | * publicExponent INTEGER -- e |
| 84 | * } |
| 85 | */ |
| 86 | |
| 87 | if (asn1_get_next(buf, len, &hdr) < 0 || |
| 88 | hdr.class != ASN1_CLASS_UNIVERSAL || |
| 89 | hdr.tag != ASN1_TAG_SEQUENCE) { |
| 90 | wpa_printf(MSG_DEBUG, "RSA: Expected SEQUENCE " |
| 91 | "(public key) - found class %d tag 0x%x", |
| 92 | hdr.class, hdr.tag); |
| 93 | goto error; |
| 94 | } |
| 95 | pos = hdr.payload; |
| 96 | end = pos + hdr.length; |
| 97 | |
| 98 | pos = crypto_rsa_parse_integer(pos, end, key->n); |
| 99 | pos = crypto_rsa_parse_integer(pos, end, key->e); |
| 100 | |
| 101 | if (pos == NULL) |
| 102 | goto error; |
| 103 | |
| 104 | if (pos != end) { |
| 105 | wpa_hexdump(MSG_DEBUG, |
| 106 | "RSA: Extra data in public key SEQUENCE", |
| 107 | pos, end - pos); |
| 108 | goto error; |
| 109 | } |
| 110 | |
| 111 | return key; |
| 112 | |
| 113 | error: |
| 114 | crypto_rsa_free(key); |
| 115 | return NULL; |
| 116 | } |
| 117 | |
| 118 | |
| 119 | /** |
| 120 | * crypto_rsa_import_private_key - Import an RSA private key |
| 121 | * @buf: Key buffer (DER encoded RSA private key) |
| 122 | * @len: Key buffer length in bytes |
| 123 | * Returns: Pointer to the private key or %NULL on failure |
| 124 | */ |
| 125 | struct crypto_rsa_key * |
| 126 | crypto_rsa_import_private_key(const u8 *buf, size_t len) |
| 127 | { |
| 128 | struct crypto_rsa_key *key; |
| 129 | struct bignum *zero; |
| 130 | struct asn1_hdr hdr; |
| 131 | const u8 *pos, *end; |
| 132 | |
| 133 | key = os_zalloc(sizeof(*key)); |
| 134 | if (key == NULL) |
| 135 | return NULL; |
| 136 | |
| 137 | key->private_key = 1; |
| 138 | |
| 139 | key->n = bignum_init(); |
| 140 | key->e = bignum_init(); |
| 141 | key->d = bignum_init(); |
| 142 | key->p = bignum_init(); |
| 143 | key->q = bignum_init(); |
| 144 | key->dmp1 = bignum_init(); |
| 145 | key->dmq1 = bignum_init(); |
| 146 | key->iqmp = bignum_init(); |
| 147 | |
| 148 | if (key->n == NULL || key->e == NULL || key->d == NULL || |
| 149 | key->p == NULL || key->q == NULL || key->dmp1 == NULL || |
| 150 | key->dmq1 == NULL || key->iqmp == NULL) { |
| 151 | crypto_rsa_free(key); |
| 152 | return NULL; |
| 153 | } |
| 154 | |
| 155 | /* |
| 156 | * PKCS #1, 7.2: |
| 157 | * RSAPrivateKey ::= SEQUENCE { |
| 158 | * version Version, |
| 159 | * modulus INTEGER, -- n |
| 160 | * publicExponent INTEGER, -- e |
| 161 | * privateExponent INTEGER, -- d |
| 162 | * prime1 INTEGER, -- p |
| 163 | * prime2 INTEGER, -- q |
| 164 | * exponent1 INTEGER, -- d mod (p-1) |
| 165 | * exponent2 INTEGER, -- d mod (q-1) |
| 166 | * coefficient INTEGER -- (inverse of q) mod p |
| 167 | * } |
| 168 | * |
| 169 | * Version ::= INTEGER -- shall be 0 for this version of the standard |
| 170 | */ |
| 171 | if (asn1_get_next(buf, len, &hdr) < 0 || |
| 172 | hdr.class != ASN1_CLASS_UNIVERSAL || |
| 173 | hdr.tag != ASN1_TAG_SEQUENCE) { |
| 174 | wpa_printf(MSG_DEBUG, "RSA: Expected SEQUENCE " |
| 175 | "(public key) - found class %d tag 0x%x", |
| 176 | hdr.class, hdr.tag); |
| 177 | goto error; |
| 178 | } |
| 179 | pos = hdr.payload; |
| 180 | end = pos + hdr.length; |
| 181 | |
| 182 | zero = bignum_init(); |
| 183 | if (zero == NULL) |
| 184 | goto error; |
| 185 | pos = crypto_rsa_parse_integer(pos, end, zero); |
| 186 | if (pos == NULL || bignum_cmp_d(zero, 0) != 0) { |
| 187 | wpa_printf(MSG_DEBUG, "RSA: Expected zero INTEGER in the " |
| 188 | "beginning of private key; not found"); |
| 189 | bignum_deinit(zero); |
| 190 | goto error; |
| 191 | } |
| 192 | bignum_deinit(zero); |
| 193 | |
| 194 | pos = crypto_rsa_parse_integer(pos, end, key->n); |
| 195 | pos = crypto_rsa_parse_integer(pos, end, key->e); |
| 196 | pos = crypto_rsa_parse_integer(pos, end, key->d); |
| 197 | pos = crypto_rsa_parse_integer(pos, end, key->p); |
| 198 | pos = crypto_rsa_parse_integer(pos, end, key->q); |
| 199 | pos = crypto_rsa_parse_integer(pos, end, key->dmp1); |
| 200 | pos = crypto_rsa_parse_integer(pos, end, key->dmq1); |
| 201 | pos = crypto_rsa_parse_integer(pos, end, key->iqmp); |
| 202 | |
| 203 | if (pos == NULL) |
| 204 | goto error; |
| 205 | |
| 206 | if (pos != end) { |
| 207 | wpa_hexdump(MSG_DEBUG, |
| 208 | "RSA: Extra data in public key SEQUENCE", |
| 209 | pos, end - pos); |
| 210 | goto error; |
| 211 | } |
| 212 | |
| 213 | return key; |
| 214 | |
| 215 | error: |
| 216 | crypto_rsa_free(key); |
| 217 | return NULL; |
| 218 | } |
| 219 | |
| 220 | |
| 221 | /** |
| 222 | * crypto_rsa_get_modulus_len - Get the modulus length of the RSA key |
| 223 | * @key: RSA key |
| 224 | * Returns: Modulus length of the key |
| 225 | */ |
| 226 | size_t crypto_rsa_get_modulus_len(struct crypto_rsa_key *key) |
| 227 | { |
| 228 | return bignum_get_unsigned_bin_len(key->n); |
| 229 | } |
| 230 | |
| 231 | |
| 232 | /** |
| 233 | * crypto_rsa_exptmod - RSA modular exponentiation |
| 234 | * @in: Input data |
| 235 | * @inlen: Input data length |
| 236 | * @out: Buffer for output data |
| 237 | * @outlen: Maximum size of the output buffer and used size on success |
| 238 | * @key: RSA key |
| 239 | * @use_private: 1 = Use RSA private key, 0 = Use RSA public key |
| 240 | * Returns: 0 on success, -1 on failure |
| 241 | */ |
| 242 | int crypto_rsa_exptmod(const u8 *in, size_t inlen, u8 *out, size_t *outlen, |
| 243 | struct crypto_rsa_key *key, int use_private) |
| 244 | { |
| 245 | struct bignum *tmp, *a = NULL, *b = NULL; |
| 246 | int ret = -1; |
| 247 | size_t modlen; |
| 248 | |
| 249 | if (use_private && !key->private_key) |
| 250 | return -1; |
| 251 | |
| 252 | tmp = bignum_init(); |
| 253 | if (tmp == NULL) |
| 254 | return -1; |
| 255 | |
| 256 | if (bignum_set_unsigned_bin(tmp, in, inlen) < 0) |
| 257 | goto error; |
| 258 | if (bignum_cmp(key->n, tmp) < 0) { |
| 259 | /* Too large input value for the RSA key modulus */ |
| 260 | goto error; |
| 261 | } |
| 262 | |
| 263 | if (use_private) { |
| 264 | /* |
| 265 | * Decrypt (or sign) using Chinese remainer theorem to speed |
| 266 | * up calculation. This is equivalent to tmp = tmp^d mod n |
| 267 | * (which would require more CPU to calculate directly). |
| 268 | * |
| 269 | * dmp1 = (1/e) mod (p-1) |
| 270 | * dmq1 = (1/e) mod (q-1) |
| 271 | * iqmp = (1/q) mod p, where p > q |
| 272 | * m1 = c^dmp1 mod p |
| 273 | * m2 = c^dmq1 mod q |
| 274 | * h = q^-1 (m1 - m2) mod p |
| 275 | * m = m2 + hq |
| 276 | */ |
| 277 | a = bignum_init(); |
| 278 | b = bignum_init(); |
| 279 | if (a == NULL || b == NULL) |
| 280 | goto error; |
| 281 | |
| 282 | /* a = tmp^dmp1 mod p */ |
| 283 | if (bignum_exptmod(tmp, key->dmp1, key->p, a) < 0) |
| 284 | goto error; |
| 285 | |
| 286 | /* b = tmp^dmq1 mod q */ |
| 287 | if (bignum_exptmod(tmp, key->dmq1, key->q, b) < 0) |
| 288 | goto error; |
| 289 | |
| 290 | /* tmp = (a - b) * (1/q mod p) (mod p) */ |
| 291 | if (bignum_sub(a, b, tmp) < 0 || |
| 292 | bignum_mulmod(tmp, key->iqmp, key->p, tmp) < 0) |
| 293 | goto error; |
| 294 | |
| 295 | /* tmp = b + q * tmp */ |
| 296 | if (bignum_mul(tmp, key->q, tmp) < 0 || |
| 297 | bignum_add(tmp, b, tmp) < 0) |
| 298 | goto error; |
| 299 | } else { |
| 300 | /* Encrypt (or verify signature) */ |
| 301 | /* tmp = tmp^e mod N */ |
| 302 | if (bignum_exptmod(tmp, key->e, key->n, tmp) < 0) |
| 303 | goto error; |
| 304 | } |
| 305 | |
| 306 | modlen = crypto_rsa_get_modulus_len(key); |
| 307 | if (modlen > *outlen) { |
| 308 | *outlen = modlen; |
| 309 | goto error; |
| 310 | } |
| 311 | |
| 312 | if (bignum_get_unsigned_bin_len(tmp) > modlen) |
| 313 | goto error; /* should never happen */ |
| 314 | |
| 315 | *outlen = modlen; |
| 316 | os_memset(out, 0, modlen); |
| 317 | if (bignum_get_unsigned_bin( |
| 318 | tmp, out + |
| 319 | (modlen - bignum_get_unsigned_bin_len(tmp)), NULL) < 0) |
| 320 | goto error; |
| 321 | |
| 322 | ret = 0; |
| 323 | |
| 324 | error: |
| 325 | bignum_deinit(tmp); |
| 326 | bignum_deinit(a); |
| 327 | bignum_deinit(b); |
| 328 | return ret; |
| 329 | } |
| 330 | |
| 331 | |
| 332 | /** |
| 333 | * crypto_rsa_free - Free RSA key |
| 334 | * @key: RSA key to be freed |
| 335 | * |
| 336 | * This function frees an RSA key imported with either |
| 337 | * crypto_rsa_import_public_key() or crypto_rsa_import_private_key(). |
| 338 | */ |
| 339 | void crypto_rsa_free(struct crypto_rsa_key *key) |
| 340 | { |
| 341 | if (key) { |
| 342 | bignum_deinit(key->n); |
| 343 | bignum_deinit(key->e); |
| 344 | bignum_deinit(key->d); |
| 345 | bignum_deinit(key->p); |
| 346 | bignum_deinit(key->q); |
| 347 | bignum_deinit(key->dmp1); |
| 348 | bignum_deinit(key->dmq1); |
| 349 | bignum_deinit(key->iqmp); |
| 350 | os_free(key); |
| 351 | } |
| 352 | } |