ecc.h 9.6 KB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310
  1. /*
  2. * Copyright (c) 2013, Kenneth MacKay
  3. * All rights reserved.
  4. *
  5. * Redistribution and use in source and binary forms, with or without
  6. * modification, are permitted provided that the following conditions are
  7. * met:
  8. * * Redistributions of source code must retain the above copyright
  9. * notice, this list of conditions and the following disclaimer.
  10. * * Redistributions in binary form must reproduce the above copyright
  11. * notice, this list of conditions and the following disclaimer in the
  12. * documentation and/or other materials provided with the distribution.
  13. *
  14. * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
  15. * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
  16. * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
  17. * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
  18. * HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  19. * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
  20. * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
  21. * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
  22. * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
  23. * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
  24. * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
  25. */
  26. #ifndef _CRYPTO_ECC_H
  27. #define _CRYPTO_ECC_H
  28. #include <crypto/ecc_curve.h>
  29. #include <linux/unaligned.h>
  30. /* One digit is u64 qword. */
  31. #define ECC_CURVE_NIST_P192_DIGITS 3
  32. #define ECC_CURVE_NIST_P256_DIGITS 4
  33. #define ECC_CURVE_NIST_P384_DIGITS 6
  34. #define ECC_CURVE_NIST_P521_DIGITS 9
  35. #define ECC_MAX_DIGITS DIV_ROUND_UP(521, 64) /* NIST P521 */
  36. #define ECC_DIGITS_TO_BYTES_SHIFT 3
  37. #define ECC_MAX_BYTES (ECC_MAX_DIGITS << ECC_DIGITS_TO_BYTES_SHIFT)
  38. #define ECC_POINT_INIT(x, y, ndigits) (struct ecc_point) { x, y, ndigits }
  39. /*
  40. * The integers r and s making up the signature are expected to be
  41. * formatted as two consecutive u64 arrays of size ECC_MAX_BYTES.
  42. * The bytes within each u64 digit are in native endianness,
  43. * but the order of the u64 digits themselves is little endian.
  44. * This format allows direct use by internal vli_*() functions.
  45. */
  46. struct ecdsa_raw_sig {
  47. u64 r[ECC_MAX_DIGITS];
  48. u64 s[ECC_MAX_DIGITS];
  49. };
  50. /**
  51. * ecc_swap_digits() - Copy ndigits from big endian array to native array
  52. * @in: Input array
  53. * @out: Output array
  54. * @ndigits: Number of digits to copy
  55. */
  56. static inline void ecc_swap_digits(const void *in, u64 *out, unsigned int ndigits)
  57. {
  58. const __be64 *src = (__force __be64 *)in;
  59. int i;
  60. for (i = 0; i < ndigits; i++)
  61. out[i] = get_unaligned_be64(&src[ndigits - 1 - i]);
  62. }
  63. /**
  64. * ecc_digits_from_bytes() - Create ndigits-sized digits array from byte array
  65. * @in: Input byte array
  66. * @nbytes Size of input byte array
  67. * @out Output digits array
  68. * @ndigits: Number of digits to create from byte array
  69. *
  70. * The first byte in the input byte array is expected to hold the most
  71. * significant bits of the large integer.
  72. */
  73. void ecc_digits_from_bytes(const u8 *in, unsigned int nbytes,
  74. u64 *out, unsigned int ndigits);
  75. /**
  76. * ecc_is_key_valid() - Validate a given ECDH private key
  77. *
  78. * @curve_id: id representing the curve to use
  79. * @ndigits: curve's number of digits
  80. * @private_key: private key to be used for the given curve
  81. * @private_key_len: private key length
  82. *
  83. * Returns 0 if the key is acceptable, a negative value otherwise
  84. */
  85. int ecc_is_key_valid(unsigned int curve_id, unsigned int ndigits,
  86. const u64 *private_key, unsigned int private_key_len);
  87. /**
  88. * ecc_gen_privkey() - Generates an ECC private key.
  89. * The private key is a random integer in the range 0 < random < n, where n is a
  90. * prime that is the order of the cyclic subgroup generated by the distinguished
  91. * point G.
  92. * @curve_id: id representing the curve to use
  93. * @ndigits: curve number of digits
  94. * @private_key: buffer for storing the generated private key
  95. *
  96. * Returns 0 if the private key was generated successfully, a negative value
  97. * if an error occurred.
  98. */
  99. int ecc_gen_privkey(unsigned int curve_id, unsigned int ndigits,
  100. u64 *private_key);
  101. /**
  102. * ecc_make_pub_key() - Compute an ECC public key
  103. *
  104. * @curve_id: id representing the curve to use
  105. * @ndigits: curve's number of digits
  106. * @private_key: pregenerated private key for the given curve
  107. * @public_key: buffer for storing the generated public key
  108. *
  109. * Returns 0 if the public key was generated successfully, a negative value
  110. * if an error occurred.
  111. */
  112. int ecc_make_pub_key(const unsigned int curve_id, unsigned int ndigits,
  113. const u64 *private_key, u64 *public_key);
  114. /**
  115. * crypto_ecdh_shared_secret() - Compute a shared secret
  116. *
  117. * @curve_id: id representing the curve to use
  118. * @ndigits: curve's number of digits
  119. * @private_key: private key of part A
  120. * @public_key: public key of counterpart B
  121. * @secret: buffer for storing the calculated shared secret
  122. *
  123. * Note: It is recommended that you hash the result of crypto_ecdh_shared_secret
  124. * before using it for symmetric encryption or HMAC.
  125. *
  126. * Returns 0 if the shared secret was generated successfully, a negative value
  127. * if an error occurred.
  128. */
  129. int crypto_ecdh_shared_secret(unsigned int curve_id, unsigned int ndigits,
  130. const u64 *private_key, const u64 *public_key,
  131. u64 *secret);
  132. /**
  133. * ecc_is_pubkey_valid_partial() - Partial public key validation
  134. *
  135. * @curve: elliptic curve domain parameters
  136. * @pk: public key as a point
  137. *
  138. * Valdiate public key according to SP800-56A section 5.6.2.3.4 ECC Partial
  139. * Public-Key Validation Routine.
  140. *
  141. * Note: There is no check that the public key is in the correct elliptic curve
  142. * subgroup.
  143. *
  144. * Return: 0 if validation is successful, -EINVAL if validation is failed.
  145. */
  146. int ecc_is_pubkey_valid_partial(const struct ecc_curve *curve,
  147. struct ecc_point *pk);
  148. /**
  149. * ecc_is_pubkey_valid_full() - Full public key validation
  150. *
  151. * @curve: elliptic curve domain parameters
  152. * @pk: public key as a point
  153. *
  154. * Valdiate public key according to SP800-56A section 5.6.2.3.3 ECC Full
  155. * Public-Key Validation Routine.
  156. *
  157. * Return: 0 if validation is successful, -EINVAL if validation is failed.
  158. */
  159. int ecc_is_pubkey_valid_full(const struct ecc_curve *curve,
  160. struct ecc_point *pk);
  161. /**
  162. * vli_is_zero() - Determine is vli is zero
  163. *
  164. * @vli: vli to check.
  165. * @ndigits: length of the @vli
  166. */
  167. bool vli_is_zero(const u64 *vli, unsigned int ndigits);
  168. /**
  169. * vli_cmp() - compare left and right vlis
  170. *
  171. * @left: vli
  172. * @right: vli
  173. * @ndigits: length of both vlis
  174. *
  175. * Returns sign of @left - @right, i.e. -1 if @left < @right,
  176. * 0 if @left == @right, 1 if @left > @right.
  177. */
  178. int vli_cmp(const u64 *left, const u64 *right, unsigned int ndigits);
  179. /**
  180. * vli_sub() - Subtracts right from left
  181. *
  182. * @result: where to write result
  183. * @left: vli
  184. * @right vli
  185. * @ndigits: length of all vlis
  186. *
  187. * Note: can modify in-place.
  188. *
  189. * Return: carry bit.
  190. */
  191. u64 vli_sub(u64 *result, const u64 *left, const u64 *right,
  192. unsigned int ndigits);
  193. /**
  194. * vli_from_be64() - Load vli from big-endian u64 array
  195. *
  196. * @dest: destination vli
  197. * @src: source array of u64 BE values
  198. * @ndigits: length of both vli and array
  199. */
  200. void vli_from_be64(u64 *dest, const void *src, unsigned int ndigits);
  201. /**
  202. * vli_from_le64() - Load vli from little-endian u64 array
  203. *
  204. * @dest: destination vli
  205. * @src: source array of u64 LE values
  206. * @ndigits: length of both vli and array
  207. */
  208. void vli_from_le64(u64 *dest, const void *src, unsigned int ndigits);
  209. /**
  210. * vli_mod_inv() - Modular inversion
  211. *
  212. * @result: where to write vli number
  213. * @input: vli value to operate on
  214. * @mod: modulus
  215. * @ndigits: length of all vlis
  216. */
  217. void vli_mod_inv(u64 *result, const u64 *input, const u64 *mod,
  218. unsigned int ndigits);
  219. /**
  220. * vli_mod_mult_slow() - Modular multiplication
  221. *
  222. * @result: where to write result value
  223. * @left: vli number to multiply with @right
  224. * @right: vli number to multiply with @left
  225. * @mod: modulus
  226. * @ndigits: length of all vlis
  227. *
  228. * Note: Assumes that mod is big enough curve order.
  229. */
  230. void vli_mod_mult_slow(u64 *result, const u64 *left, const u64 *right,
  231. const u64 *mod, unsigned int ndigits);
  232. /**
  233. * vli_num_bits() - Counts the number of bits required for vli.
  234. *
  235. * @vli: vli to check.
  236. * @ndigits: Length of the @vli
  237. *
  238. * Return: The number of bits required to represent @vli.
  239. */
  240. unsigned int vli_num_bits(const u64 *vli, unsigned int ndigits);
  241. /**
  242. * ecc_aloc_point() - Allocate ECC point.
  243. *
  244. * @ndigits: Length of vlis in u64 qwords.
  245. *
  246. * Return: Pointer to the allocated point or NULL if allocation failed.
  247. */
  248. struct ecc_point *ecc_alloc_point(unsigned int ndigits);
  249. /**
  250. * ecc_free_point() - Free ECC point.
  251. *
  252. * @p: The point to free.
  253. */
  254. void ecc_free_point(struct ecc_point *p);
  255. /**
  256. * ecc_point_is_zero() - Check if point is zero.
  257. *
  258. * @p: Point to check for zero.
  259. *
  260. * Return: true if point is the point at infinity, false otherwise.
  261. */
  262. bool ecc_point_is_zero(const struct ecc_point *point);
  263. /**
  264. * ecc_point_mult_shamir() - Add two points multiplied by scalars
  265. *
  266. * @result: resulting point
  267. * @x: scalar to multiply with @p
  268. * @p: point to multiply with @x
  269. * @y: scalar to multiply with @q
  270. * @q: point to multiply with @y
  271. * @curve: curve
  272. *
  273. * Returns result = x * p + x * q over the curve.
  274. * This works faster than two multiplications and addition.
  275. */
  276. void ecc_point_mult_shamir(const struct ecc_point *result,
  277. const u64 *x, const struct ecc_point *p,
  278. const u64 *y, const struct ecc_point *q,
  279. const struct ecc_curve *curve);
  280. extern struct crypto_template ecdsa_x962_tmpl;
  281. extern struct crypto_template ecdsa_p1363_tmpl;
  282. #endif