#include "parameters.h" #include "repetition.h" #include #include #include /** * @file repetition.c * @brief Implementation of repetition codes */ static inline int32_t popcount(uint64_t n); /** * @brief Encoding each bit in the message m using the repetition code * * * @param[out] em Pointer to an array that is the code word * @param[in] m Pointer to an array that is the message */ void PQCLEAN_HQC256_CLEAN_repetition_code_encode(uint64_t *em, const uint64_t *m) { static const uint64_t mask[2][3] = {{0x0UL, 0x0UL, 0x0UL}, {0xFFFFFFFFFFFFFFFFUL, 0xFFFFFFFFFFFFFFFFUL, 0x3FFFFFUL}}; for (size_t i = 0; i < VEC_N1_SIZE_64 - 1; i++) { for (size_t j = 0; j < 64; j++) { uint8_t bit = (m[i] >> j) & 0x1; uint32_t pos_r = PARAM_N2 * ((i << 6) + j); uint16_t idx_r = (pos_r & 0x3f); uint64_t *p64 = em; p64 += pos_r >> 6; *p64 ^= mask[bit][0] << idx_r; int64_t aux = (41 - idx_r); uint64_t aux2 = (aux > 0); uint64_t idx2 = aux * aux2; *(p64 + 1) ^= mask[bit][1] >> idx2; *(p64 + 2) ^= mask[bit][2] >> ((63 - idx_r)); } } for (size_t j = 0; j < (PARAM_N1 & 0x3f); j++) { uint8_t bit = (m[VEC_N1_SIZE_64 - 1] >> j) & 0x1; uint32_t pos_r = PARAM_N2 * (((VEC_N1_SIZE_64 - 1) << 6) + j); uint16_t idx_r = (pos_r & 0x3f); uint64_t *p64 = em; p64 += pos_r >> 6; *p64 ^= mask[bit][0] << idx_r; int64_t aux = (41 - idx_r); uint64_t aux2 = (aux > 0); uint64_t idx2 = aux * aux2; *(p64 + 1) ^= mask[bit][1] >> idx2; *(p64 + 2) ^= mask[bit][2] >> ((63 - idx_r)); } } /** * @brief Compute the Hamming weight of the 64-bit integer n * * The Hamming weight is computed using a trick described in * Henry S. Warren : "Hacker's Delight", chap 5., p. 66 * @param[out] the Hamming weight of n * @param[in] a 64-bit integer n */ static inline int32_t popcount(uint64_t n) { n -= (n >> 1) & 0x5555555555555555UL; n = (n & 0x3333333333333333UL) + ((n >> 2) & 0x3333333333333333UL); n = (n + (n >> 4)) & 0x0f0f0f0f0f0f0f0fUL; return (n * 0x0101010101010101UL) >> 56; } /** * @brief Decoding the code words to a message using the repetition code * * We use a majority decoding. In fact we have that PARAM_N2 = 2 * PARAM_T + 1, thus, * if the Hamming weight of the vector is greater than PARAM_T, the code word is decoded * to 1 and 0 otherwise. * * @param[out] m Pointer to an array that is the message * @param[in] em Pointer to an array that is the code word */ void PQCLEAN_HQC256_CLEAN_repetition_code_decode(uint64_t *m, const uint64_t *em) { uint32_t t = 0; uint32_t b, bn, bi, c, cn, ci; uint64_t cx, ones; uint64_t cy; uint64_t mask; for (b = 0; b < PARAM_N1N2 - PARAM_N2 + 1; b += PARAM_N2) { bn = b >> 6; bi = b & 63; c = b + PARAM_N2 - 1; cn = c >> 6; ci = c & 63; cx = em[cn] << (63 - ci); mask = (uint64_t) (-((int64_t) (cn ^ (bn + 1))) >> 63); // cn != bn+1 cy = em[bn + 1]; ones = popcount((em[bn] >> bi) | (cx & mask)) + popcount((mask & cy) + (~mask & cx)); m[t >> 6] |= (uint64_t) (((((int64_t)PARAM_T - ones) >> 63) & 1) << (t & 63)); // 1 << (t&63) if ones > PARAM_T else 0 t++; } }