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1.9 KiB
C

#include "vec128.h"
/* input: v, an element in GF(2^m)[y]/(y^96+y^10+y^9+y^6+1) in bitsliced form */
/* input: a, an element in GF(2^m)[y]/(y^96+y^10+y^9+y^6+1) as an array of coefficients */
/* output: out, the product of v and a in bitsliced form */
void vec128_mul_GF(vec128 out[ GFBITS ], vec128 v[ GFBITS ], gf a[ SYS_T ]) {
int i, j;
uint64_t buf[GFBITS][3];
vec128 prod[GFBITS];
uint64_t p[GFBITS];
const uint64_t allone = -1;
// polynomial multiplication
for (i = 0; i < GFBITS; i++) {
buf[i][0] = 0;
buf[i][1] = 0;
buf[i][2] = 0;
}
for (i = SYS_T - 1; i >= 0; i--) {
for (j = 0; j < GFBITS; j++) {
buf[j][2] <<= 1;
buf[j][2] |= buf[j][1] >> 63;
buf[j][1] <<= 1;
buf[j][1] |= buf[j][0] >> 63;
buf[j][0] <<= 1;
}
vec128_mul_gf(prod, v, a[i]);
for (j = 0; j < GFBITS; j++) {
buf[j][0] ^= vec128_extract(prod[j], 0);
buf[j][1] ^= vec128_extract(prod[j], 1);
}
}
// reduction modulo y^96+y^10+y^9+y^6+1
for (i = 0; i < GFBITS; i++) {
p[i] = buf[i][2];
buf[i][1] ^= p[i] >> (SYS_T - 10 - 64);
buf[i][0] ^= p[i] << (64 - (SYS_T - 10 - 64));
buf[i][1] ^= p[i] >> (SYS_T - 9 - 64);
buf[i][0] ^= p[i] << (64 - (SYS_T - 9 - 64));
buf[i][1] ^= p[i] >> (SYS_T - 6 - 64);
buf[i][0] ^= p[i] << (64 - (SYS_T - 6 - 64));
buf[i][1] ^= p[i] >> (SYS_T - 64);
buf[i][0] ^= p[i] << (64 - (SYS_T - 64));
}
//
for (i = 0; i < GFBITS; i++) {
p[i] = buf[i][1] & (allone << 32);
buf[i][0] ^= p[i] >> (SYS_T - 10 - 64);
buf[i][0] ^= p[i] >> (SYS_T - 9 - 64);
buf[i][0] ^= p[i] >> (SYS_T - 6 - 64);
buf[i][0] ^= p[i] >> (SYS_T - 64);
}
//
for (i = 0; i < GFBITS; i++) {
out[i] = vec128_set2x(buf[i][0], buf[i][1] & 0xFFFFFFFF);
}
}