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faest_aes.c
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/*
* SPDX-License-Identifier: MIT
*/
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif
#include "faest.h"
#include "faest_aes.h"
#include "fields.h"
#include "vole.h"
#include "universal_hashing.h"
#include "utils.h"
#include "parameters.h"
#include <string.h>
#include <stdlib.h>
#include <stdio.h>
static_assert(FAEST_128F_ELL == FAEST_128S_ELL, "Invalid parameters");
static_assert(FAEST_128F_LAMBDA == FAEST_128S_LAMBDA, "Invalid parameters");
static_assert(FAEST_128F_Lke == FAEST_128S_Lke, "Invalid parameters");
static_assert(FAEST_128F_Nst == FAEST_128S_Nst, "Invalid parameters");
static_assert(FAEST_128F_R == FAEST_128S_R, "Invalid parameters");
static_assert(FAEST_128F_Senc == FAEST_128S_Senc, "Invalid parameters");
static_assert(FAEST_128F_Ske == FAEST_128S_Ske, "Invalid parameters");
static_assert(FAEST_128F_C == FAEST_128S_C, "Invalid parameters");
static_assert(FAEST_192F_ELL == FAEST_192S_ELL, "Invalid parameters");
static_assert(FAEST_192F_LAMBDA == FAEST_192S_LAMBDA, "Invalid parameters");
static_assert(FAEST_192F_Lke == FAEST_192S_Lke, "Invalid parameters");
static_assert(FAEST_192F_Nst == FAEST_192S_Nst, "Invalid parameters");
static_assert(FAEST_192F_R == FAEST_192S_R, "Invalid parameters");
static_assert(FAEST_192F_Senc == FAEST_192S_Senc, "Invalid parameters");
static_assert(FAEST_192F_Ske == FAEST_192S_Ske, "Invalid parameters");
static_assert(FAEST_192F_C == FAEST_192S_C, "Invalid parameters");
static_assert(FAEST_256F_ELL == FAEST_256S_ELL, "Invalid parameters");
static_assert(FAEST_256F_LAMBDA == FAEST_256S_LAMBDA, "Invalid parameters");
static_assert(FAEST_256F_Lke == FAEST_256S_Lke, "Invalid parameters");
static_assert(FAEST_256F_Nst == FAEST_256S_Nst, "Invalid parameters");
static_assert(FAEST_256F_R == FAEST_256S_R, "Invalid parameters");
static_assert(FAEST_256F_Senc == FAEST_256S_Senc, "Invalid parameters");
static_assert(FAEST_256F_Ske == FAEST_256S_Ske, "Invalid parameters");
static_assert(FAEST_256F_C == FAEST_256S_C, "Invalid parameters");
static_assert(FAEST_EM_128F_LAMBDA == FAEST_EM_128S_LAMBDA, "Invalid parameters");
static_assert(FAEST_EM_128F_Lenc == FAEST_EM_128S_Lenc, "Invalid parameters");
static_assert(FAEST_EM_128F_Nst == FAEST_EM_128S_Nst, "Invalid parameters");
static_assert(FAEST_EM_128F_R == FAEST_EM_128S_R, "Invalid parameters");
static_assert(FAEST_EM_128F_Senc == FAEST_EM_128S_Senc, "Invalid parameters");
static_assert(FAEST_EM_128F_C == FAEST_EM_128S_C, "Invalid parameters");
// for scan-build
static_assert(FAEST_EM_128F_LAMBDA * (FAEST_EM_128F_R + 1) / 8 ==
sizeof(aes_word_t) * FAEST_EM_128F_Nst * (FAEST_EM_128F_R + 1),
"Invalid parameters");
static_assert(FAEST_EM_192F_LAMBDA == FAEST_EM_192S_LAMBDA, "Invalid parameters");
static_assert(FAEST_EM_192F_Lenc == FAEST_EM_192S_Lenc, "Invalid parameters");
static_assert(FAEST_EM_192F_Nst == FAEST_EM_192S_Nst, "Invalid parameters");
static_assert(FAEST_EM_192F_R == FAEST_EM_192S_R, "Invalid parameters");
static_assert(FAEST_EM_192F_Senc == FAEST_EM_192S_Senc, "Invalid parameters");
static_assert(FAEST_EM_192F_C == FAEST_EM_192S_C, "Invalid parameters");
// for scan-build
static_assert(FAEST_EM_192F_LAMBDA * (FAEST_EM_192F_R + 1) / 8 ==
sizeof(aes_word_t) * FAEST_EM_192F_Nst * (FAEST_EM_192F_R + 1),
"Invalid parameters");
static_assert(FAEST_EM_256F_LAMBDA == FAEST_EM_256S_LAMBDA, "Invalid parameters");
static_assert(FAEST_EM_256F_Lenc == FAEST_EM_256S_Lenc, "Invalid parameters");
static_assert(FAEST_EM_256F_Nst == FAEST_EM_256S_Nst, "Invalid parameters");
static_assert(FAEST_EM_256F_R == FAEST_EM_256S_R, "Invalid parameters");
static_assert(FAEST_EM_256F_Senc == FAEST_EM_256S_Senc, "Invalid parameters");
static_assert(FAEST_EM_256F_C == FAEST_EM_256S_C, "Invalid parameters");
// for scan-build
static_assert(FAEST_EM_256F_LAMBDA * (FAEST_EM_256F_R + 1) / 8 ==
sizeof(aes_word_t) * FAEST_EM_256F_Nst * (FAEST_EM_256F_R + 1),
"Invalid parameters");
/* pad sizes to multiples of some value; assumes that a is a power of 2 */
#define PAD_TO(s, a) (((s) + (a) - 1) & ~((a) - 1))
#define BF128_ALLOC(s) faest_aligned_alloc(BF128_ALIGN, PAD_TO((s) * sizeof(bf128_t), BF128_ALIGN))
#define BF192_ALLOC(s) faest_aligned_alloc(BF192_ALIGN, PAD_TO((s) * sizeof(bf192_t), BF192_ALIGN))
#define BF256_ALLOC(s) faest_aligned_alloc(BF256_ALIGN, PAD_TO((s) * sizeof(bf256_t), BF256_ALIGN))
static const bf8_t Rcon[30] = {
0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1b, 0x36, 0x6c, 0xd8, 0xab, 0x4d, 0x9a,
0x2f, 0x5e, 0xbc, 0x63, 0xc6, 0x97, 0x35, 0x6a, 0xd4, 0xb3, 0x7d, 0xfa, 0xef, 0xc5, 0x91,
};
// ADD ROUND KEY
/*
Called in EncCstrnts, takes in owf_in (bits) and their tags (0 for prover, owf_in (bit) * delta for
verifier)
*/
static void aes_128_add_round_key_prover(uint8_t* out, bf128_t* out_tag, const uint8_t* in,
const bf128_t* in_tag, const uint8_t* k,
const bf128_t* k_tag, const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
const unsigned int Nstbits = Nst * 32;
for (unsigned int i = 0; i < Nstbits; i++) {
out[i] = in[i] ^ k[i];
out_tag[i] = bf128_add(in_tag[i], k_tag[i]);
}
}
static void aes_192_add_round_key_prover(uint8_t* out, bf192_t* out_tag, const uint8_t* in,
const bf192_t* in_tag, const uint8_t* k,
const bf192_t* k_tag, const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
const unsigned int Nstbits = Nst * 32;
for (unsigned int i = 0; i < Nstbits; i++) {
out[i] = in[i] ^ k[i];
out_tag[i] = bf192_add(in_tag[i], k_tag[i]);
}
}
static void aes_256_add_round_key_prover(uint8_t* out, bf256_t* out_tag, const uint8_t* in,
const bf256_t* in_tag, const uint8_t* k,
const bf256_t* k_tag, const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
const unsigned int Nstbits = Nst * 32;
for (unsigned int i = 0; i < Nstbits; i++) {
out[i] = in[i] ^ k[i];
out_tag[i] = bf256_add(in_tag[i], k_tag[i]);
}
}
static void aes_128_add_round_key_verifier(bf128_t* out_key, const bf128_t* in_key,
const bf128_t* k_key, const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
const unsigned int Nstbits = Nst * 32;
for (unsigned int i = 0; i < Nstbits; i++) {
out_key[i] = bf128_add(in_key[i], k_key[i]);
}
}
static void aes_192_add_round_key_verifier(bf192_t* out_key, const bf192_t* in_key,
const bf192_t* k_key, const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
const unsigned int Nstbits = Nst * 32;
for (unsigned int i = 0; i < Nstbits; i++) {
out_key[i] = bf192_add(in_key[i], k_key[i]);
}
}
static void aes_256_add_round_key_verifier(bf256_t* out_key, const bf256_t* in_key,
const bf256_t* k_key, const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
const unsigned int Nstbits = Nst * 32;
for (unsigned int i = 0; i < Nstbits; i++) {
out_key[i] = bf256_add(in_key[i], k_key[i]);
}
}
// F256/F2.CONJUGATES
static void aes_128_f256_f2_conjugates_1(bf128_t* y, const uint8_t* state,
const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
for (unsigned int i = 0; i != Nst_bytes; ++i) {
uint8_t x0[8];
// array of bits containing byte i
for (unsigned int j = 0; j != 8; ++j) {
x0[j] = state[i * 8 + j];
}
for (unsigned int j = 0; j != 7; ++j) {
y[i * 8 + j] = bf128_byte_combine_bits_array(x0);
bits_sq_array(x0);
}
y[i * 8 + 7] = bf128_byte_combine_bits_array(x0);
}
}
static void aes_192_f256_f2_conjugates_1(bf192_t* y, const uint8_t* state,
const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
for (unsigned int i = 0; i != Nst_bytes; ++i) {
uint8_t x0[8];
// array of bits containing byte i
for (unsigned int j = 0; j != 8; ++j) {
x0[j] = state[i * 8 + j];
}
for (unsigned int j = 0; j != 7; ++j) {
y[i * 8 + j] = bf192_byte_combine_bits_array(x0);
bits_sq_array(x0);
}
y[i * 8 + 7] = bf192_byte_combine_bits_array(x0);
}
}
static void aes_256_f256_f2_conjugates_1(bf256_t* y, const uint8_t* state,
const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
for (unsigned int i = 0; i != Nst_bytes; ++i) {
uint8_t x0[8];
// array of bits containing byte i
for (unsigned int j = 0; j != 8; ++j) {
x0[j] = state[i * 8 + j];
}
for (unsigned int j = 0; j != 7; ++j) {
y[i * 8 + j] = bf256_byte_combine_bits_array(x0);
bits_sq_array(x0);
}
y[i * 8 + 7] = bf256_byte_combine_bits_array(x0);
}
}
static void aes_128_f256_f2_conjugates_128(bf128_t* y, const bf128_t* state,
const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
for (unsigned int i = 0; i != Nst_bytes; ++i) {
bf128_t x[8];
memcpy(x, state + i * 8, sizeof(x));
for (unsigned int j = 0; j != 7; ++j) {
y[i * 8 + j] = bf128_byte_combine(x);
bf128_t tmp[8];
memcpy(tmp, x, sizeof(x));
bf128_sq_bit(x, tmp);
}
y[i * 8 + 7] = bf128_byte_combine(x);
}
}
static void aes_192_f256_f2_conjugates_192(bf192_t* y, const bf192_t* state,
const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
for (unsigned int i = 0; i != Nst_bytes; ++i) {
bf192_t x[8];
memcpy(x, state + (i * 8), sizeof(x));
for (unsigned int j = 0; j != 7; ++j) {
y[i * 8 + j] = bf192_byte_combine(x);
bf192_t tmp[8];
memcpy(tmp, x, sizeof(x));
bf192_sq_bit(x, tmp);
}
y[i * 8 + 7] = bf192_byte_combine(x);
}
}
static void aes_256_f256_f2_conjugates_256(bf256_t* y, const bf256_t* state,
const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
for (unsigned int i = 0; i != Nst_bytes; ++i) {
bf256_t x[8];
memcpy(x, state + (i * 8), sizeof(x));
for (unsigned int j = 0; j != 7; ++j) {
y[i * 8 + j] = bf256_byte_combine(x);
bf256_t tmp[8];
memcpy(tmp, x, sizeof(x));
bf256_sq_bit(x, tmp);
}
y[i * 8 + 7] = bf256_byte_combine(x);
}
}
// INV NORM TO CONJUGATES
static const bf128_t bf128_beta_squares[5] = {
BF128C(UINT64_C(0xaca8c2a7190f676b), UINT64_C(0xdb4a932e2cae3d8b)),
BF128C(UINT64_C(0x34d2f7fba603e341), UINT64_C(0x500317bd159d73bb)),
BF128C(UINT64_C(0xcbc26e38bdbd6c62), UINT64_C(0xf210539fd8dd2772)),
BF128C(UINT64_C(0x53b85b6402b1e849), UINT64_C(0x7959d70ce1ee6942)),
BF128C(UINT64_C(0xaca8c2a7190f676b), UINT64_C(0xdb4a932e2cae3d8b)),
};
static const bf128_t bf128_beta_cubes[4] = {
BF128C(UINT64_C(0x53b85b6402b1e849), UINT64_C(0x7959d70ce1ee6942)),
BF128C(UINT64_C(0xaca8c2a7190f676b), UINT64_C(0xdb4a932e2cae3d8b)),
BF128C(UINT64_C(0x34d2f7fba603e341), UINT64_C(0x500317bd159d73bb)),
BF128C(UINT64_C(0xcbc26e38bdbd6c62), UINT64_C(0xf210539fd8dd2772)),
};
static const bf192_t bf192_beta_squares[5] = {
BF192C(UINT64_C(0x4a2fe80a53fe16e7), UINT64_C(0x89bfb5055f8ff266),
UINT64_C(0x6c4aecc3fdd0f812)),
BF192C(UINT64_C(0xf061255c52e359d4), UINT64_C(0x125a337e5e808579),
UINT64_C(0x54ed13a2d09da6a4)),
BF192C(UINT64_C(0x941080db88d09584), UINT64_C(0x62217a15d25ec520),
UINT64_C(0xee0fc537c5a9cb74)),
BF192C(UINT64_C(0x2e5e4d8d89cddab6), UINT64_C(0xf9c4fc6ed351b23f),
UINT64_C(0xd6a83a56e8e495c2)),
BF192C(UINT64_C(0x4a2fe80a53fe16e7), UINT64_C(0x89bfb5055f8ff266),
UINT64_C(0x6c4aecc3fdd0f812)),
};
static const bf192_t bf192_beta_cubes[4] = {
BF192C(UINT64_C(0x2e5e4d8d89cddab6), UINT64_C(0xf9c4fc6ed351b23f),
UINT64_C(0xd6a83a56e8e495c2)),
BF192C(UINT64_C(0x4a2fe80a53fe16e7), UINT64_C(0x89bfb5055f8ff266),
UINT64_C(0x6c4aecc3fdd0f812)),
BF192C(UINT64_C(0xf061255c52e359d4), UINT64_C(0x125a337e5e808579),
UINT64_C(0x54ed13a2d09da6a4)),
BF192C(UINT64_C(0x941080db88d09584), UINT64_C(0x62217a15d25ec520),
UINT64_C(0xee0fc537c5a9cb74)),
};
static const bf256_t bf256_beta_squares[5] = {
BF256C(UINT64_C(0x4074aaa06e5faade), UINT64_C(0xd9ca3e577cc14c4a), UINT64_C(0xda065d89ba07bf41),
UINT64_C(0x96ff78f99e8ca1cb)),
BF256C(UINT64_C(0xfc8046a8eaa315e8), UINT64_C(0x3cd447937f790879), UINT64_C(0x2adc5a08c13f1cfb),
UINT64_C(0x67dbaeb2ec4abc7c)),
BF256C(UINT64_C(0x4074aaa16e5eabeb), UINT64_C(0xd9ca3e577cc14c4b), UINT64_C(0xda065d89ba07bf40),
UINT64_C(0x96ff78f99e8ca1cb)),
BF256C(UINT64_C(0xfc8046a9eaa214dc), UINT64_C(0x3cd447937f790878), UINT64_C(0x2adc5a08c13f1cfa),
UINT64_C(0x67dbaeb2ec4abc7c)),
BF256C(UINT64_C(0x4074aaa06e5faade), UINT64_C(0xd9ca3e577cc14c4a), UINT64_C(0xda065d89ba07bf41),
UINT64_C(0x96ff78f99e8ca1cb)),
};
static const bf256_t bf256_beta_cubes[4] = {
BF256C(UINT64_C(0xfc8046a9eaa214dc), UINT64_C(0x3cd447937f790878), UINT64_C(0x2adc5a08c13f1cfa),
UINT64_C(0x67dbaeb2ec4abc7c)),
BF256C(UINT64_C(0x4074aaa06e5faade), UINT64_C(0xd9ca3e577cc14c4a), UINT64_C(0xda065d89ba07bf41),
UINT64_C(0x96ff78f99e8ca1cb)),
BF256C(UINT64_C(0xfc8046a8eaa315e8), UINT64_C(0x3cd447937f790879), UINT64_C(0x2adc5a08c13f1cfb),
UINT64_C(0x67dbaeb2ec4abc7c)),
BF256C(UINT64_C(0x4074aaa16e5eabeb), UINT64_C(0xd9ca3e577cc14c4b), UINT64_C(0xda065d89ba07bf40),
UINT64_C(0x96ff78f99e8ca1cb)),
};
static void aes_128_inv_norm_to_conjugates_prover(bf128_t* y_val, bf128_t* y_tag,
const uint8_t* x_val, const bf128_t* x_tag) {
// :1-2
for (unsigned int i = 0; i != 4; ++i) {
y_val[i] = bf128_add(bf128_add(bf128_mul_bit(bf128_one(), x_val[0]),
bf128_mul_bit(bf128_beta_squares[i], x_val[1])),
bf128_add(bf128_mul_bit(bf128_beta_squares[i + 1], x_val[2]),
bf128_mul_bit(bf128_beta_cubes[i], x_val[3])));
y_tag[i] = bf128_add(
bf128_add(bf128_mul(bf128_one(), x_tag[0]), bf128_mul(bf128_beta_squares[i], x_tag[1])),
bf128_add(bf128_mul(bf128_beta_squares[i + 1], x_tag[2]),
bf128_mul(bf128_beta_cubes[i], x_tag[3])));
}
}
static void aes_192_inv_norm_to_conjugates_prover(bf192_t* y_val, bf192_t* y_tag,
const uint8_t* x_val, const bf192_t* x_tag) {
// :1-2
for (unsigned int i = 0; i != 4; ++i) {
y_val[i] = bf192_add(bf192_add(bf192_mul_bit(bf192_one(), x_val[0]),
bf192_mul_bit(bf192_beta_squares[i], x_val[1])),
bf192_add(bf192_mul_bit(bf192_beta_squares[i + 1], x_val[2]),
bf192_mul_bit(bf192_beta_cubes[i], x_val[3])));
y_tag[i] = bf192_add(
bf192_add(bf192_mul(bf192_one(), x_tag[0]), bf192_mul(bf192_beta_squares[i], x_tag[1])),
bf192_add(bf192_mul(bf192_beta_squares[i + 1], x_tag[2]),
bf192_mul(bf192_beta_cubes[i], x_tag[3])));
}
}
static void aes_256_inv_norm_to_conjugates_prover(bf256_t* y_val, bf256_t* y_tag,
const uint8_t* x_val, const bf256_t* x_tag) {
// :1-2
for (unsigned int i = 0; i != 4; ++i) {
y_val[i] = bf256_add(bf256_add(bf256_mul_bit(bf256_one(), x_val[0]),
bf256_mul_bit(bf256_beta_squares[i], x_val[1])),
bf256_add(bf256_mul_bit(bf256_beta_squares[i + 1], x_val[2]),
bf256_mul_bit(bf256_beta_cubes[i], x_val[3])));
y_tag[i] = bf256_add(
bf256_add(bf256_mul(bf256_one(), x_tag[0]), bf256_mul(bf256_beta_squares[i], x_tag[1])),
bf256_add(bf256_mul(bf256_beta_squares[i + 1], x_tag[2]),
bf256_mul(bf256_beta_cubes[i], x_tag[3])));
}
}
static void aes_128_inv_norm_to_conjugates_verifier(bf128_t* y_eval, const bf128_t* x_eval) {
// :1-2
for (unsigned int i = 0; i != 4; ++i) {
y_eval[i] = bf128_add(
bf128_add(bf128_mul(bf128_one(), x_eval[0]), bf128_mul(bf128_beta_squares[i], x_eval[1])),
bf128_add(bf128_mul(bf128_beta_squares[i + 1], x_eval[2]),
bf128_mul(bf128_beta_cubes[i], x_eval[3])));
}
}
static void aes_192_inv_norm_to_conjugates_verifier(bf192_t* y_eval, const bf192_t* x_eval) {
// :1-2
for (unsigned int i = 0; i != 4; ++i) {
y_eval[i] = bf192_add(
bf192_add(bf192_mul(bf192_one(), x_eval[0]), bf192_mul(bf192_beta_squares[i], x_eval[1])),
bf192_add(bf192_mul(bf192_beta_squares[i + 1], x_eval[2]),
bf192_mul(bf192_beta_cubes[i], x_eval[3])));
}
}
static void aes_256_inv_norm_to_conjugates_verifier(bf256_t* y_eval, const bf256_t* x_eval) {
// :1-2
for (unsigned int i = 0; i != 4; ++i) {
y_eval[i] = bf256_add(
bf256_add(bf256_mul(bf256_one(), x_eval[0]), bf256_mul(bf256_beta_squares[i], x_eval[1])),
bf256_add(bf256_mul(bf256_beta_squares[i + 1], x_eval[2]),
bf256_mul(bf256_beta_cubes[i], x_eval[3])));
}
}
// // INV NORM CONSTRAINTS
static void aes_128_inv_norm_constraints_prover(bf128_t* z_deg0, bf128_t* z_deg1, bf128_t* z_deg2,
const bf128_t* conjugates,
const bf128_t* conjugates_tag, const bf128_t* y,
const bf128_t* y_tag) {
z_deg0[0] = bf128_mul(bf128_mul(*y_tag, conjugates_tag[1]), conjugates_tag[4]);
z_deg1[0] = bf128_add(bf128_add(bf128_mul(bf128_mul(*y, conjugates_tag[1]), conjugates_tag[4]),
bf128_mul(bf128_mul(*y_tag, conjugates_tag[1]), conjugates[4])),
bf128_mul(bf128_mul(*y_tag, conjugates[1]), conjugates_tag[4]));
z_deg2[0] =
bf128_add(bf128_add(bf128_add(bf128_mul(bf128_mul(*y, conjugates[1]), conjugates_tag[4]),
bf128_mul(bf128_mul(*y, conjugates_tag[1]), conjugates[4])),
bf128_mul(bf128_mul(*y_tag, conjugates[1]), conjugates[4])),
conjugates_tag[0]);
}
static void aes_192_inv_norm_constraints_prover(bf192_t* z_deg0, bf192_t* z_deg1, bf192_t* z_deg2,
const bf192_t* conjugates,
const bf192_t* conjugates_tag, const bf192_t* y,
const bf192_t* y_tag) {
z_deg0[0] = bf192_mul(bf192_mul(*y_tag, conjugates_tag[1]), conjugates_tag[4]);
z_deg1[0] = bf192_add(bf192_add(bf192_mul(bf192_mul(*y, conjugates_tag[1]), conjugates_tag[4]),
bf192_mul(bf192_mul(*y_tag, conjugates_tag[1]), conjugates[4])),
bf192_mul(bf192_mul(*y_tag, conjugates[1]), conjugates_tag[4]));
z_deg2[0] =
bf192_add(bf192_add(bf192_add(bf192_mul(bf192_mul(*y, conjugates[1]), conjugates_tag[4]),
bf192_mul(bf192_mul(*y, conjugates_tag[1]), conjugates[4])),
bf192_mul(bf192_mul(*y_tag, conjugates[1]), conjugates[4])),
conjugates_tag[0]);
}
static void aes_256_inv_norm_constraints_prover(bf256_t* z_deg0, bf256_t* z_deg1, bf256_t* z_deg2,
const bf256_t* conjugates,
const bf256_t* conjugates_tag, const bf256_t* y,
const bf256_t* y_tag) {
z_deg0[0] = bf256_mul(bf256_mul(*y_tag, conjugates_tag[1]), conjugates_tag[4]);
z_deg1[0] = bf256_add(bf256_add(bf256_mul(bf256_mul(*y, conjugates_tag[1]), conjugates_tag[4]),
bf256_mul(bf256_mul(*y_tag, conjugates_tag[1]), conjugates[4])),
bf256_mul(bf256_mul(*y_tag, conjugates[1]), conjugates_tag[4]));
z_deg2[0] =
bf256_add(bf256_add(bf256_add(bf256_mul(bf256_mul(*y, conjugates[1]), conjugates_tag[4]),
bf256_mul(bf256_mul(*y, conjugates_tag[1]), conjugates[4])),
bf256_mul(bf256_mul(*y_tag, conjugates[1]), conjugates[4])),
conjugates_tag[0]);
}
static void aes_128_inv_norm_constraints_verifier(bf128_t* z_eval, const bf128_t* conjugates_eval,
const bf128_t* y_eval, const bf128_t delta) {
z_eval[0] = bf128_add(bf128_mul(bf128_mul(*y_eval, conjugates_eval[1]), conjugates_eval[4]),
bf128_mul(conjugates_eval[0], bf128_mul(delta, delta)));
}
static void aes_192_inv_norm_constraints_verifier(bf192_t* z_eval, const bf192_t* conjugates_eval,
const bf192_t* y_eval, const bf192_t delta) {
z_eval[0] = bf192_add(bf192_mul(bf192_mul(*y_eval, conjugates_eval[1]), conjugates_eval[4]),
bf192_mul(conjugates_eval[0], bf192_mul(delta, delta)));
}
static void aes_256_inv_norm_constraints_verifier(bf256_t* z_eval, const bf256_t* conjugates_eval,
const bf256_t* y_eval, const bf256_t delta) {
z_eval[0] = bf256_add(bf256_mul(bf256_mul(*y_eval, conjugates_eval[1]), conjugates_eval[4]),
bf256_mul(conjugates_eval[0], bf256_mul(delta, delta)));
}
// STATE TO BYTES
static void aes_128_state_to_bytes_prover(bf128_t* out, bf128_t* out_tag, const uint8_t* k,
const bf128_t* k_tag, const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
for (unsigned int i = 0; i < Nst_bytes; i++) {
out[i] = bf128_byte_combine_bits_array(k + i * 8);
out_tag[i] = bf128_byte_combine(k_tag + i * 8);
}
}
static void aes_192_state_to_bytes_prover(bf192_t* out, bf192_t* out_tag, const uint8_t* k,
const bf192_t* k_tag, const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
for (unsigned int i = 0; i < Nst_bytes; i++) {
out[i] = bf192_byte_combine_bits_array(k + i * 8);
out_tag[i] = bf192_byte_combine(k_tag + i * 8);
}
}
static void aes_256_state_to_bytes_prover(bf256_t* out, bf256_t* out_tag, const uint8_t* k,
const bf256_t* k_tag, const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
for (unsigned int i = 0; i < Nst_bytes; i++) {
out[i] = bf256_byte_combine_bits_array(k + i * 8);
out_tag[i] = bf256_byte_combine(k_tag + i * 8);
}
}
static void aes_128_state_to_bytes_verifier(bf128_t* out_key, const bf128_t* k_key,
const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
for (unsigned int i = 0; i < Nst_bytes; i++) {
out_key[i] = bf128_byte_combine(k_key + i * 8);
}
}
static void aes_192_state_to_bytes_verifier(bf192_t* out_key, const bf192_t* k_key,
const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
for (unsigned int i = 0; i < Nst_bytes; i++) {
out_key[i] = bf192_byte_combine(k_key + i * 8);
}
}
static void aes_256_state_to_bytes_verifier(bf256_t* out_key, const bf256_t* k_key,
const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
for (unsigned int i = 0; i < Nst_bytes; i++) {
out_key[i] = bf256_byte_combine(k_key + i * 8);
}
}
// SBOX AFFINE
static const uint8_t sbox_x[9] = {0x05, 0x09, 0xf9, 0x25, 0xf4, 0x01, 0xb5, 0x8f, 0x63};
static const uint8_t sbox_x_sq[9] = {0x11, 0x41, 0x07, 0x7d, 0x56, 0x01, 0xfc, 0xcf, 0xc2};
static void aes_128_sbox_affine_prover(bf128_t* out_deg0, bf128_t* out_deg1, bf128_t* out_deg2,
const bf128_t* in_deg0, const bf128_t* in_deg1,
const bf128_t* in_deg2, bool dosq,
const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
bf128_t C[9];
uint8_t t;
// ::5-6
if (dosq) {
for (unsigned i = 0; i < 9; i++) {
C[i] = bf128_byte_combine_bits(sbox_x_sq[i]);
}
t = 1;
} else {
t = 0;
for (unsigned i = 0; i < 9; i++) {
C[i] = bf128_byte_combine_bits(sbox_x[i]);
}
}
for (unsigned int i = 0; i < Nst_bytes; i++) {
for (unsigned int Cidx = 0; Cidx < 8; Cidx++) {
out_deg2[i] = bf128_add(out_deg2[i], bf128_mul(C[Cidx], in_deg2[i * 8 + (Cidx + t) % 8]));
out_deg1[i] = bf128_add(out_deg1[i], bf128_mul(C[Cidx], in_deg1[i * 8 + (Cidx + t) % 8]));
out_deg0[i] = bf128_add(out_deg0[i], bf128_mul(C[Cidx], in_deg0[i * 8 + (Cidx + t) % 8]));
}
// add the constant C[8] to the highest coefficient
out_deg2[i] = bf128_add(out_deg2[i], C[8]);
}
}
static void aes_192_sbox_affine_prover(bf192_t* out_deg0, bf192_t* out_deg1, bf192_t* out_deg2,
const bf192_t* in_deg0, const bf192_t* in_deg1,
const bf192_t* in_deg2, bool dosq,
const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
bf192_t C[9];
uint8_t t;
// ::5-6
if (dosq) {
for (unsigned i = 0; i < 9; i++) {
C[i] = bf192_byte_combine_bits(sbox_x_sq[i]);
}
t = 1;
} else {
t = 0;
for (unsigned i = 0; i < 9; i++) {
C[i] = bf192_byte_combine_bits(sbox_x[i]);
}
}
for (unsigned int i = 0; i < Nst_bytes; i++) {
for (unsigned int Cidx = 0; Cidx < 8; Cidx++) {
out_deg2[i] = bf192_add(out_deg2[i], bf192_mul(C[Cidx], in_deg2[i * 8 + (Cidx + t) % 8]));
out_deg1[i] = bf192_add(out_deg1[i], bf192_mul(C[Cidx], in_deg1[i * 8 + (Cidx + t) % 8]));
out_deg0[i] = bf192_add(out_deg0[i], bf192_mul(C[Cidx], in_deg0[i * 8 + (Cidx + t) % 8]));
}
// add the constant C[8] to the highest coefficient
out_deg2[i] = bf192_add(out_deg2[i], C[8]);
}
}
static void aes_256_sbox_affine_prover(bf256_t* out_deg0, bf256_t* out_deg1, bf256_t* out_deg2,
const bf256_t* in_deg0, const bf256_t* in_deg1,
const bf256_t* in_deg2, bool dosq,
const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
bf256_t C[9];
uint8_t t;
// ::5-6
if (dosq) {
for (unsigned i = 0; i < 9; i++) {
C[i] = bf256_byte_combine_bits(sbox_x_sq[i]);
}
t = 1;
} else {
t = 0;
for (unsigned i = 0; i < 9; i++) {
C[i] = bf256_byte_combine_bits(sbox_x[i]);
}
}
for (unsigned int i = 0; i < Nst_bytes; i++) {
for (unsigned int Cidx = 0; Cidx < 8; Cidx++) {
out_deg2[i] = bf256_add(out_deg2[i], bf256_mul(C[Cidx], in_deg2[i * 8 + (Cidx + t) % 8]));
out_deg1[i] = bf256_add(out_deg1[i], bf256_mul(C[Cidx], in_deg1[i * 8 + (Cidx + t) % 8]));
out_deg0[i] = bf256_add(out_deg0[i], bf256_mul(C[Cidx], in_deg0[i * 8 + (Cidx + t) % 8]));
}
// add the constant C[8] to the highest coefficient
out_deg2[i] = bf256_add(out_deg2[i], C[8]);
}
}
static void aes_128_sbox_affine_verifier(bf128_t* out_deg1, const bf128_t* in_deg1, bf128_t delta,
bool dosq, const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
bf128_t C[9];
uint8_t t;
// ::5-6
if (dosq) {
for (unsigned i = 0; i < 9; i++) {
C[i] = bf128_byte_combine_bits(sbox_x_sq[i]);
}
t = 1;
} else {
t = 0;
for (unsigned i = 0; i < 9; i++) {
C[i] = bf128_byte_combine_bits(sbox_x[i]);
}
}
for (unsigned int i = 0; i < Nst_bytes; i++) {
for (unsigned int Cidx = 0; Cidx < 8; Cidx++) {
out_deg1[i] = bf128_add(out_deg1[i], bf128_mul(C[Cidx], in_deg1[i * 8 + (Cidx + t) % 8]));
}
// add the constant C[8] by multiplying with delta^2
out_deg1[i] = bf128_add(out_deg1[i], bf128_mul(C[8], bf128_mul(delta, delta)));
}
}
static void aes_192_sbox_affine_verifier(bf192_t* out_deg1, const bf192_t* in_deg1, bf192_t delta,
bool dosq, const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
bf192_t C[9];
uint8_t t;
// ::5-6
if (dosq) {
for (unsigned i = 0; i < 9; i++) {
C[i] = bf192_byte_combine_bits(sbox_x_sq[i]);
}
t = 1;
} else {
t = 0;
for (unsigned i = 0; i < 9; i++) {
C[i] = bf192_byte_combine_bits(sbox_x[i]);
}
}
for (unsigned int i = 0; i < Nst_bytes; i++) {
for (unsigned int Cidx = 0; Cidx < 8; Cidx++) {
out_deg1[i] = bf192_add(out_deg1[i], bf192_mul(C[Cidx], in_deg1[i * 8 + (Cidx + t) % 8]));
}
// add the constant C[8] by multiplying with delta^2
out_deg1[i] = bf192_add(out_deg1[i], bf192_mul(C[8], bf192_mul(delta, delta)));
}
}
static void aes_256_sbox_affine_verifier(bf256_t* out_deg1, const bf256_t* in_deg1, bf256_t delta,
bool dosq, const faest_paramset_t* params) {
const unsigned int Nst_bytes = params->Nst * 4;
bf256_t C[9];
uint8_t t;
// ::5-6
if (dosq) {
for (unsigned i = 0; i < 9; i++) {
C[i] = bf256_byte_combine_bits(sbox_x_sq[i]);
}
t = 1;
} else {
t = 0;
for (unsigned i = 0; i < 9; i++) {
C[i] = bf256_byte_combine_bits(sbox_x[i]);
}
}
for (unsigned int i = 0; i < Nst_bytes; i++) {
for (unsigned int Cidx = 0; Cidx < 8; Cidx++) {
out_deg1[i] = bf256_add(out_deg1[i], bf256_mul(C[Cidx], in_deg1[i * 8 + (Cidx + t) % 8]));
}
// add the constant C[8] by multiplying with delta^2
out_deg1[i] = bf256_add(out_deg1[i], bf256_mul(C[8], bf256_mul(delta, delta)));
}
}
// SHIFT ROWS
static void aes_128_shiftrows_prover(bf128_t* out_deg0, bf128_t* out_deg1, bf128_t* out_deg2,
const bf128_t* in_deg0, const bf128_t* in_deg1,
const bf128_t* in_deg2, const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
for (unsigned int r = 0; r < 4; r++) {
for (unsigned int c = 0; c < Nst; c++) {
if ((Nst != 8) || (r <= 1)) {
out_deg2[4 * c + r] = in_deg2[4 * ((c + r) % Nst) + r];
out_deg1[4 * c + r] = in_deg1[4 * ((c + r) % Nst) + r];
out_deg0[4 * c + r] = in_deg0[4 * ((c + r) % Nst) + r];
} else {
out_deg2[4 * c + r] = in_deg2[4 * ((c + r + 1) % Nst) + r];
out_deg1[4 * c + r] = in_deg1[4 * ((c + r + 1) % Nst) + r];
out_deg0[4 * c + r] = in_deg0[4 * ((c + r + 1) % Nst) + r];
}
}
}
}
static void aes_192_shiftrows_prover(bf192_t* out_deg0, bf192_t* out_deg1, bf192_t* out_deg2,
const bf192_t* in_deg0, const bf192_t* in_deg1,
const bf192_t* in_deg2, const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
for (unsigned int r = 0; r < 4; r++) {
for (unsigned int c = 0; c < Nst; c++) {
if ((Nst != 8) || (r <= 1)) {
out_deg2[4 * c + r] = in_deg2[4 * ((c + r) % Nst) + r];
out_deg1[4 * c + r] = in_deg1[4 * ((c + r) % Nst) + r];
out_deg0[4 * c + r] = in_deg0[4 * ((c + r) % Nst) + r];
} else {
out_deg2[4 * c + r] = in_deg2[4 * ((c + r + 1) % Nst) + r];
out_deg1[4 * c + r] = in_deg1[4 * ((c + r + 1) % Nst) + r];
out_deg0[4 * c + r] = in_deg0[4 * ((c + r + 1) % Nst) + r];
}
}
}
}
static void aes_256_shiftrows_prover(bf256_t* out_deg0, bf256_t* out_deg1, bf256_t* out_deg2,
const bf256_t* in_deg0, const bf256_t* in_deg1,
const bf256_t* in_deg2, const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
for (unsigned int r = 0; r < 4; r++) {
for (unsigned int c = 0; c < Nst; c++) {
if ((Nst != 8) || (r <= 1)) {
out_deg2[4 * c + r] = in_deg2[4 * ((c + r) % Nst) + r];
out_deg1[4 * c + r] = in_deg1[4 * ((c + r) % Nst) + r];
out_deg0[4 * c + r] = in_deg0[4 * ((c + r) % Nst) + r];
} else {
out_deg2[4 * c + r] = in_deg2[4 * ((c + r + 1) % Nst) + r];
out_deg1[4 * c + r] = in_deg1[4 * ((c + r + 1) % Nst) + r];
out_deg0[4 * c + r] = in_deg0[4 * ((c + r + 1) % Nst) + r];
}
}
}
}
static void aes_128_shiftrows_verifier(bf128_t* out_deg1, const bf128_t* in_deg1,
const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
for (unsigned int r = 0; r < 4; r++) {
for (unsigned int c = 0; c < Nst; c++) {
if ((Nst != 8) || (r <= 1)) {
out_deg1[4 * c + r] = in_deg1[(4 * ((c + r) % Nst) + r)];
} else {
out_deg1[4 * c + r] = in_deg1[(4 * ((c + r + 1) % Nst) + r)];
}
}
}
}
static void aes_192_shiftrows_verifier(bf192_t* out_deg1, const bf192_t* in_deg1,
const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
for (unsigned int r = 0; r < 4; r++) {
for (unsigned int c = 0; c < Nst; c++) {
if ((Nst != 8) || (r <= 1)) {
out_deg1[4 * c + r] = in_deg1[(4 * ((c + r) % Nst) + r)];
} else {
out_deg1[4 * c + r] = in_deg1[(4 * ((c + r + 1) % Nst) + r)];
}
}
}
}
static void aes_256_shiftrows_verifier(bf256_t* out_deg1, const bf256_t* in_deg1,
const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
for (unsigned int r = 0; r < 4; r++) {
for (unsigned int c = 0; c < Nst; c++) {
if ((Nst != 8) || (r <= 1)) {
out_deg1[4 * c + r] = in_deg1[(4 * ((c + r) % Nst) + r)];
} else {
out_deg1[4 * c + r] = in_deg1[(4 * ((c + r + 1) % Nst) + r)];
}
}
}
}
// MIX COLOUMNS
static void aes_128_mix_columns_prover(bf128_t* y_deg0, bf128_t* y_deg1, bf128_t* y_deg2,
const bf128_t* in_deg0, const bf128_t* in_deg1,
const bf128_t* in_deg2, bool dosq,
const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
// ::2-4
bf128_t v2 = bf128_byte_combine_bits(2);
bf128_t v3 = bf128_byte_combine_bits(3);
if (dosq) {
v2 = bf128_mul(v2, v2);
v3 = bf128_mul(v3, v3);
}
for (unsigned int c = 0; c < Nst; c++) {
unsigned int i0 = 4 * c;
unsigned int i1 = 4 * c + 1;
unsigned int i2 = 4 * c + 2;
unsigned int i3 = 4 * c + 3;
bf128_t tmp1, tmp2, tmp3, tmp4;
// ::7
tmp1 = bf128_mul(in_deg2[i0], v2);
tmp2 = bf128_mul(in_deg2[i1], v3);
tmp3 = in_deg2[i2];
tmp4 = in_deg2[i3];
y_deg2[i0] = bf128_add(bf128_add(tmp1, tmp2), bf128_add(tmp3, tmp4));
tmp1 = bf128_mul(in_deg1[i0], v2);
tmp2 = bf128_mul(in_deg1[i1], v3);
tmp3 = in_deg1[i2];
tmp4 = in_deg1[i3];
y_deg1[i0] = bf128_add(bf128_add(tmp1, tmp2), bf128_add(tmp3, tmp4));
tmp1 = bf128_mul(in_deg0[i0], v2);
tmp2 = bf128_mul(in_deg0[i1], v3);
tmp3 = in_deg0[i2];
tmp4 = in_deg0[i3];
y_deg0[i0] = bf128_add(bf128_add(tmp1, tmp2), bf128_add(tmp3, tmp4));
// ::8
tmp1 = in_deg2[i0];
tmp2 = bf128_mul(in_deg2[i1], v2);
tmp3 = bf128_mul(in_deg2[i2], v3);
tmp4 = in_deg2[i3];
y_deg2[i1] = bf128_add(bf128_add(tmp1, tmp2), bf128_add(tmp3, tmp4));
tmp1 = in_deg1[i0];
tmp2 = bf128_mul(in_deg1[i1], v2);
tmp3 = bf128_mul(in_deg1[i2], v3);
tmp4 = in_deg1[i3];
y_deg1[i1] = bf128_add(bf128_add(tmp1, tmp2), bf128_add(tmp3, tmp4));
tmp1 = in_deg0[i0];
tmp2 = bf128_mul(in_deg0[i1], v2);
tmp3 = bf128_mul(in_deg0[i2], v3);
tmp4 = in_deg0[i3];
y_deg0[i1] = bf128_add(bf128_add(tmp1, tmp2), bf128_add(tmp3, tmp4));
// ::9
tmp1 = in_deg2[i0];
tmp2 = in_deg2[i1];
tmp3 = bf128_mul(in_deg2[i2], v2);
tmp4 = bf128_mul(in_deg2[i3], v3);
y_deg2[i2] = bf128_add(bf128_add(tmp1, tmp2), bf128_add(tmp3, tmp4));
tmp1 = in_deg1[i0];
tmp2 = in_deg1[i1];
tmp3 = bf128_mul(in_deg1[i2], v2);
tmp4 = bf128_mul(in_deg1[i3], v3);
y_deg1[i2] = bf128_add(bf128_add(tmp1, tmp2), bf128_add(tmp3, tmp4));
tmp1 = in_deg0[i0];
tmp2 = in_deg0[i1];
tmp3 = bf128_mul(in_deg0[i2], v2);
tmp4 = bf128_mul(in_deg0[i3], v3);
y_deg0[i2] = bf128_add(bf128_add(tmp1, tmp2), bf128_add(tmp3, tmp4));
// ::10
tmp1 = bf128_mul(in_deg2[i0], v3);
tmp2 = in_deg2[i1];
tmp3 = in_deg2[i2];
tmp4 = bf128_mul(in_deg2[i3], v2);
y_deg2[i3] = bf128_add(bf128_add(tmp1, tmp2), bf128_add(tmp3, tmp4));
tmp1 = bf128_mul(in_deg1[i0], v3);
tmp2 = in_deg1[i1];
tmp3 = in_deg1[i2];
tmp4 = bf128_mul(in_deg1[i3], v2);
y_deg1[i3] = bf128_add(bf128_add(tmp1, tmp2), bf128_add(tmp3, tmp4));
tmp1 = bf128_mul(in_deg0[i0], v3);
tmp2 = in_deg0[i1];
tmp3 = in_deg0[i2];
tmp4 = bf128_mul(in_deg0[i3], v2);
y_deg0[i3] = bf128_add(bf128_add(tmp1, tmp2), bf128_add(tmp3, tmp4));
}
}
static void aes_192_mix_columns_prover(bf192_t* y_deg0, bf192_t* y_deg1, bf192_t* y_deg2,
const bf192_t* in_deg0, const bf192_t* in_deg1,
const bf192_t* in_deg2, bool dosq,
const faest_paramset_t* params) {
const unsigned int Nst = params->Nst;
// ::2-4
bf192_t v2 = bf192_byte_combine_bits(2);
bf192_t v3 = bf192_byte_combine_bits(3);
if (dosq) {
v2 = bf192_mul(v2, v2);
v3 = bf192_mul(v3, v3);
}
for (unsigned int c = 0; c < Nst; c++) {
unsigned int i0 = 4 * c;
unsigned int i1 = 4 * c + 1;
unsigned int i2 = 4 * c + 2;
unsigned int i3 = 4 * c + 3;
bf192_t tmp1, tmp2, tmp3, tmp4;
// ::7
tmp1 = bf192_mul(in_deg2[i0], v2);
tmp2 = bf192_mul(in_deg2[i1], v3);
tmp3 = in_deg2[i2];
tmp4 = in_deg2[i3];
y_deg2[i0] = bf192_add(bf192_add(tmp1, tmp2), bf192_add(tmp3, tmp4));
tmp1 = bf192_mul(in_deg1[i0], v2);
tmp2 = bf192_mul(in_deg1[i1], v3);
tmp3 = in_deg1[i2];
tmp4 = in_deg1[i3];
y_deg1[i0] = bf192_add(bf192_add(tmp1, tmp2), bf192_add(tmp3, tmp4));
tmp1 = bf192_mul(in_deg0[i0], v2);
tmp2 = bf192_mul(in_deg0[i1], v3);
tmp3 = in_deg0[i2];
tmp4 = in_deg0[i3];
y_deg0[i0] = bf192_add(bf192_add(tmp1, tmp2), bf192_add(tmp3, tmp4));
// ::8
tmp1 = in_deg2[i0];
tmp2 = bf192_mul(in_deg2[i1], v2);
tmp3 = bf192_mul(in_deg2[i2], v3);
tmp4 = in_deg2[i3];
y_deg2[i1] = bf192_add(bf192_add(tmp1, tmp2), bf192_add(tmp3, tmp4));
tmp1 = in_deg1[i0];
tmp2 = bf192_mul(in_deg1[i1], v2);
tmp3 = bf192_mul(in_deg1[i2], v3);
tmp4 = in_deg1[i3];
y_deg1[i1] = bf192_add(bf192_add(tmp1, tmp2), bf192_add(tmp3, tmp4));
tmp1 = in_deg0[i0];
tmp2 = bf192_mul(in_deg0[i1], v2);
tmp3 = bf192_mul(in_deg0[i2], v3);
tmp4 = in_deg0[i3];
y_deg0[i1] = bf192_add(bf192_add(tmp1, tmp2), bf192_add(tmp3, tmp4));
// ::9
tmp1 = in_deg2[i0];
tmp2 = in_deg2[i1];
tmp3 = bf192_mul(in_deg2[i2], v2);
tmp4 = bf192_mul(in_deg2[i3], v3);
y_deg2[i2] = bf192_add(bf192_add(tmp1, tmp2), bf192_add(tmp3, tmp4));
tmp1 = in_deg1[i0];
tmp2 = in_deg1[i1];
tmp3 = bf192_mul(in_deg1[i2], v2);
tmp4 = bf192_mul(in_deg1[i3], v3);
y_deg1[i2] = bf192_add(bf192_add(tmp1, tmp2), bf192_add(tmp3, tmp4));
tmp1 = in_deg0[i0];
tmp2 = in_deg0[i1];
tmp3 = bf192_mul(in_deg0[i2], v2);