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124 lines
4.0 KiB
C
124 lines
4.0 KiB
C
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/**
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* \file gf2x.c
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* \brief Implementation of multiplication of two polynomials
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*/
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#include "gf2x.h"
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#include "parameters.h"
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#include "util.h"
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#include <stdint.h>
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#include <string.h>
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#define WORD_TYPE uint64_t
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#define WORD_TYPE_BITS (sizeof(WORD_TYPE) * 8)
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#define UTILS_VECTOR_ARRAY_SIZE CEIL_DIVIDE(PARAM_N, WORD_TYPE_BITS)
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static int vect_mul_precompute_rows(WORD_TYPE *o, const WORD_TYPE *v);
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/**
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* @brief A subroutine used in the function sparse_dense_mul()
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*
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* @param[out] o Pointer to an array
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* @param[in] v Pointer to an array
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* @return 0 if precomputation is successful, -1 otherwise
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*/
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static int vect_mul_precompute_rows(WORD_TYPE *o, const WORD_TYPE *v) {
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int8_t var;
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for (size_t i = 0; i < PARAM_N; ++i) {
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var = 0;
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// All the bits that we need are in the same block
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if (((i % WORD_TYPE_BITS) == 0) && (i != PARAM_N - (PARAM_N % WORD_TYPE_BITS))) {
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var = 1;
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}
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// Cases where the bits are in before the last block, the last block and the first block
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if (i > PARAM_N - WORD_TYPE_BITS) {
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if (i >= PARAM_N - (PARAM_N % WORD_TYPE_BITS)) {
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var = 2;
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} else {
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var = 3;
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}
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}
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switch (var) {
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case 0:
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// Take bits in the last block and the first one
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o[i] = 0;
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o[i] += v[i / WORD_TYPE_BITS] >> (i % WORD_TYPE_BITS);
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o[i] += v[(i / WORD_TYPE_BITS) + 1] << (WORD_TYPE_BITS - (i % WORD_TYPE_BITS));
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break;
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case 1:
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o[i] = v[i / WORD_TYPE_BITS];
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break;
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case 2:
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o[i] = 0;
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o[i] += v[i / WORD_TYPE_BITS] >> (i % WORD_TYPE_BITS);
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o[i] += v[0] << ((PARAM_N - i) % WORD_TYPE_BITS);
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break;
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case 3:
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o[i] = 0;
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o[i] += v[i / WORD_TYPE_BITS] >> (i % WORD_TYPE_BITS);
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o[i] += v[(i / WORD_TYPE_BITS) + 1] << (WORD_TYPE_BITS - (i % WORD_TYPE_BITS));
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o[i] += v[0] << ((WORD_TYPE_BITS - i + (PARAM_N % WORD_TYPE_BITS)) % WORD_TYPE_BITS);
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break;
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default:
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return -1;
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}
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}
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return 0;
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}
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/**
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* @brief Multiplies two vectors
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*
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* This function multiplies two vectors: a sparse vector of Hamming weight equal to <b>weight</b> and a dense (random) vector.
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* The vector <b>a1</b> is the sparse vector and <b>a2</b> is the dense vector.
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* We notice that the idea is explained using vector of 32 bits elements instead of 64 (the algorithm works in booth cases).
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*
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* @param[out] o Pointer to a vector that is the result of the multiplication
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* @param[in] a1 Pointer to the sparse vector stored by position
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* @param[in] a2 Pointer to the dense vector
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* @param[in] weight Integer that is the weight of the sparse vector
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*/
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void PQCLEAN_HQC2563CCA2_LEAKTIME_vect_mul(uint8_t *o, const uint32_t *a1, const uint8_t *a2, uint16_t weight) {
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WORD_TYPE v1[UTILS_VECTOR_ARRAY_SIZE] = {0};
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WORD_TYPE res[UTILS_VECTOR_ARRAY_SIZE] = {0};
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WORD_TYPE precomputation_array [PARAM_N] = {0};
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WORD_TYPE row [UTILS_VECTOR_ARRAY_SIZE] = {0};
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uint32_t index;
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PQCLEAN_HQC2563CCA2_LEAKTIME_load8_arr(v1, UTILS_VECTOR_ARRAY_SIZE, a2, VEC_N_SIZE_BYTES);
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vect_mul_precompute_rows(precomputation_array, v1);
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for (size_t i = 0; i < weight; ++i) {
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int32_t k = UTILS_VECTOR_ARRAY_SIZE;
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for (size_t j = 0; j < UTILS_VECTOR_ARRAY_SIZE - 1; ++j) {
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index = WORD_TYPE_BITS * (uint32_t)j - a1[i];
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if (index > PARAM_N) {
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index += PARAM_N;
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}
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row[j] = precomputation_array[index];
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}
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index = WORD_TYPE_BITS * (UTILS_VECTOR_ARRAY_SIZE - 1) - a1[i];
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row[UTILS_VECTOR_ARRAY_SIZE - 1] = precomputation_array[(index < PARAM_N ? index : index + PARAM_N)] & BITMASK(PARAM_N, WORD_TYPE_BITS);
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while (k--) {
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res[k] ^= row[k];
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}
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}
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PQCLEAN_HQC2563CCA2_LEAKTIME_store8_arr(o, VEC_N_SIZE_BYTES, res, UTILS_VECTOR_ARRAY_SIZE);
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}
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