aes_ct64.c

/*
 * Copyright (c) 2016 Thomas Pornin <[email protected]>
 *
 * Permission is hereby granted, free of charge, to any person obtaining 
 * a copy of this software and associated documentation files (the
 * "Software"), to deal in the Software without restriction, including
 * without limitation the rights to use, copy, modify, merge, publish,
 * distribute, sublicense, and/or sell copies of the Software, and to
 * permit persons to whom the Software is furnished to do so, subject to
 * the following conditions:
 *
 * The above copyright notice and this permission notice shall be 
 * included in all copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, 
 * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
 * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND 
 * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
 * BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
 * ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
 * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
 * SOFTWARE.
 */

#include "inner.h"

/* see inner.h */
void
br_aes_ct64_bitslice_Sbox(uint64_t *q)
{
	/*
	 * This S-box implementation is a straightforward translation of
	 * the circuit described by Boyar and Peralta in "A new
	 * combinational logic minimization technique with applications
	 * to cryptology" (https://eprint.iacr.org/2009/191.pdf).
	 *
	 * Note that variables x* (input) and s* (output) are numbered
	 * in "reverse" order (x0 is the high bit, x7 is the low bit).
	 */

	uint64_t x0, x1, x2, x3, x4, x5, x6, x7;
	uint64_t y1, y2, y3, y4, y5, y6, y7, y8, y9;
	uint64_t y10, y11, y12, y13, y14, y15, y16, y17, y18, y19;
	uint64_t y20, y21;
	uint64_t z0, z1, z2, z3, z4, z5, z6, z7, z8, z9;
	uint64_t z10, z11, z12, z13, z14, z15, z16, z17;
	uint64_t t0, t1, t2, t3, t4, t5, t6, t7, t8, t9;
	uint64_t t10, t11, t12, t13, t14, t15, t16, t17, t18, t19;
	uint64_t t20, t21, t22, t23, t24, t25, t26, t27, t28, t29;
	uint64_t t30, t31, t32, t33, t34, t35, t36, t37, t38, t39;
	uint64_t t40, t41, t42, t43, t44, t45, t46, t47, t48, t49;
	uint64_t t50, t51, t52, t53, t54, t55, t56, t57, t58, t59;
	uint64_t t60, t61, t62, t63, t64, t65, t66, t67;
	uint64_t s0, s1, s2, s3, s4, s5, s6, s7;

	x0 = q[7];
	x1 = q[6];
	x2 = q[5];
	x3 = q[4];
	x4 = q[3];
	x5 = q[2];
	x6 = q[1];
	x7 = q[0];

	/*
	 * Top linear transformation.
	 */
	y14 = x3 ^ x5;
	y13 = x0 ^ x6;
	y9 = x0 ^ x3;
	y8 = x0 ^ x5;
	t0 = x1 ^ x2;
	y1 = t0 ^ x7;
	y4 = y1 ^ x3;
	y12 = y13 ^ y14;
	y2 = y1 ^ x0;
	y5 = y1 ^ x6;
	y3 = y5 ^ y8;
	t1 = x4 ^ y12;
	y15 = t1 ^ x5;
	y20 = t1 ^ x1;
	y6 = y15 ^ x7;
	y10 = y15 ^ t0;
	y11 = y20 ^ y9;
	y7 = x7 ^ y11;
	y17 = y10 ^ y11;
	y19 = y10 ^ y8;
	y16 = t0 ^ y11;
	y21 = y13 ^ y16;
	y18 = x0 ^ y16;

	/*
	 * Non-linear section.
	 */
	t2 = y12 & y15;
	t3 = y3 & y6;
	t4 = t3 ^ t2;
	t5 = y4 & x7;
	t6 = t5 ^ t2;
	t7 = y13 & y16;
	t8 = y5 & y1;
	t9 = t8 ^ t7;
	t10 = y2 & y7;
	t11 = t10 ^ t7;
	t12 = y9 & y11;
	t13 = y14 & y17;
	t14 = t13 ^ t12;
	t15 = y8 & y10;
	t16 = t15 ^ t12;
	t17 = t4 ^ t14;
	t18 = t6 ^ t16;
	t19 = t9 ^ t14;
	t20 = t11 ^ t16;
	t21 = t17 ^ y20;
	t22 = t18 ^ y19;
	t23 = t19 ^ y21;
	t24 = t20 ^ y18;

	t25 = t21 ^ t22;
	t26 = t21 & t23;
	t27 = t24 ^ t26;
	t28 = t25 & t27;
	t29 = t28 ^ t22;
	t30 = t23 ^ t24;
	t31 = t22 ^ t26;
	t32 = t31 & t30;
	t33 = t32 ^ t24;
	t34 = t23 ^ t33;
	t35 = t27 ^ t33;
	t36 = t24 & t35;
	t37 = t36 ^ t34;
	t38 = t27 ^ t36;
	t39 = t29 & t38;
	t40 = t25 ^ t39;

	t41 = t40 ^ t37;
	t42 = t29 ^ t33;
	t43 = t29 ^ t40;
	t44 = t33 ^ t37;
	t45 = t42 ^ t41;
	z0 = t44 & y15;
	z1 = t37 & y6;
	z2 = t33 & x7;
	z3 = t43 & y16;
	z4 = t40 & y1;
	z5 = t29 & y7;
	z6 = t42 & y11;
	z7 = t45 & y17;
	z8 = t41 & y10;
	z9 = t44 & y12;
	z10 = t37 & y3;
	z11 = t33 & y4;
	z12 = t43 & y13;
	z13 = t40 & y5;
	z14 = t29 & y2;
	z15 = t42 & y9;
	z16 = t45 & y14;
	z17 = t41 & y8;

	/*
	 * Bottom linear transformation.
	 */
	t46 = z15 ^ z16;
	t47 = z10 ^ z11;
	t48 = z5 ^ z13;
	t49 = z9 ^ z10;
	t50 = z2 ^ z12;
	t51 = z2 ^ z5;
	t52 = z7 ^ z8;
	t53 = z0 ^ z3;
	t54 = z6 ^ z7;
	t55 = z16 ^ z17;
	t56 = z12 ^ t48;
	t57 = t50 ^ t53;
	t58 = z4 ^ t46;
	t59 = z3 ^ t54;
	t60 = t46 ^ t57;
	t61 = z14 ^ t57;
	t62 = t52 ^ t58;
	t63 = t49 ^ t58;
	t64 = z4 ^ t59;
	t65 = t61 ^ t62;
	t66 = z1 ^ t63;
	s0 = t59 ^ t63;
	s6 = t56 ^ ~t62;
	s7 = t48 ^ ~t60;
	t67 = t64 ^ t65;
	s3 = t53 ^ t66;
	s4 = t51 ^ t66;
	s5 = t47 ^ t65;
	s1 = t64 ^ ~s3;
	s2 = t55 ^ ~t67;

	q[7] = s0;
	q[6] = s1;
	q[5] = s2;
	q[4] = s3;
	q[3] = s4;
	q[2] = s5;
	q[1] = s6;
	q[0] = s7;
}

/* see inner.h */
void
br_aes_ct64_ortho(uint64_t *q)
{
#define SWAPN(cl, ch, s, x, y)   do { \
		uint64_t a, b; \
		a = (x); \
		b = (y); \
		(x) = (a & (uint64_t)cl) | ((b & (uint64_t)cl) << (s)); \
		(y) = ((a & (uint64_t)ch) >> (s)) | (b & (uint64_t)ch); \
	} while (0)

#define SWAP2(x, y)    SWAPN(0x5555555555555555, 0xAAAAAAAAAAAAAAAA,  1, x, y)
#define SWAP4(x, y)    SWAPN(0x3333333333333333, 0xCCCCCCCCCCCCCCCC,  2, x, y)
#define SWAP8(x, y)    SWAPN(0x0F0F0F0F0F0F0F0F, 0xF0F0F0F0F0F0F0F0,  4, x, y)

	SWAP2(q[0], q[1]);
	SWAP2(q[2], q[3]);
	SWAP2(q[4], q[5]);
	SWAP2(q[6], q[7]);

	SWAP4(q[0], q[2]);
	SWAP4(q[1], q[3]);
	SWAP4(q[4], q[6]);
	SWAP4(q[5], q[7]);

	SWAP8(q[0], q[4]);
	SWAP8(q[1], q[5]);
	SWAP8(q[2], q[6]);
	SWAP8(q[3], q[7]);
}

/* see inner.h */
void
br_aes_ct64_interleave_in(uint64_t *q0, uint64_t *q1, const uint32_t *w)
{
	uint64_t x0, x1, x2, x3;

	x0 = w[0];
	x1 = w[1];
	x2 = w[2];
	x3 = w[3];
	x0 |= (x0 << 16);
	x1 |= (x1 << 16);
	x2 |= (x2 << 16);
	x3 |= (x3 << 16);
	x0 &= (uint64_t)0x0000FFFF0000FFFF;
	x1 &= (uint64_t)0x0000FFFF0000FFFF;
	x2 &= (uint64_t)0x0000FFFF0000FFFF;
	x3 &= (uint64_t)0x0000FFFF0000FFFF;
	x0 |= (x0 << 8);
	x1 |= (x1 << 8);
	x2 |= (x2 << 8);
	x3 |= (x3 << 8);
	x0 &= (uint64_t)0x00FF00FF00FF00FF;
	x1 &= (uint64_t)0x00FF00FF00FF00FF;
	x2 &= (uint64_t)0x00FF00FF00FF00FF;
	x3 &= (uint64_t)0x00FF00FF00FF00FF;
	*q0 = x0 | (x2 << 8);
	*q1 = x1 | (x3 << 8);
}

/* see inner.h */
void
br_aes_ct64_interleave_out(uint32_t *w, uint64_t q0, uint64_t q1)
{
	uint64_t x0, x1, x2, x3;

	x0 = q0 & (uint64_t)0x00FF00FF00FF00FF;
	x1 = q1 & (uint64_t)0x00FF00FF00FF00FF;
	x2 = (q0 >> 8) & (uint64_t)0x00FF00FF00FF00FF;
	x3 = (q1 >> 8) & (uint64_t)0x00FF00FF00FF00FF;
	x0 |= (x0 >> 8);
	x1 |= (x1 >> 8);
	x2 |= (x2 >> 8);
	x3 |= (x3 >> 8);
	x0 &= (uint64_t)0x0000FFFF0000FFFF;
	x1 &= (uint64_t)0x0000FFFF0000FFFF;
	x2 &= (uint64_t)0x0000FFFF0000FFFF;
	x3 &= (uint64_t)0x0000FFFF0000FFFF;
	w[0] = (uint32_t)x0 | (uint32_t)(x0 >> 16);
	w[1] = (uint32_t)x1 | (uint32_t)(x1 >> 16);
	w[2] = (uint32_t)x2 | (uint32_t)(x2 >> 16);
	w[3] = (uint32_t)x3 | (uint32_t)(x3 >> 16);
}

static const unsigned char Rcon[] = {
	0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1B, 0x36
};

static uint32_t
sub_word(uint32_t x)
{
	uint64_t q[8];

	memset(q, 0, sizeof q);
	q[0] = x;
	br_aes_ct64_ortho(q);
	br_aes_ct64_bitslice_Sbox(q);
	br_aes_ct64_ortho(q);
	return (uint32_t)q[0];
}

/* see inner.h */
unsigned
br_aes_ct64_keysched(uint64_t *comp_skey, const void *key, size_t key_len)
{
	unsigned num_rounds;
	int i, j, k, nk, nkf;
	uint32_t tmp;
	uint32_t skey[60];

	switch (key_len) {
	case 16:
		num_rounds = 10;
		break;
	case 24:
		num_rounds = 12;
		break;
	case 32:
		num_rounds = 14;
		break;
	default:
		/* abort(); */
		return 0;
	}
	nk = (int)(key_len >> 2);
	nkf = (int)((num_rounds + 1) << 2);
	br_range_dec32le(skey, (key_len >> 2), key);
	tmp = skey[(key_len >> 2) - 1];
	for (i = nk, j = 0, k = 0; i < nkf; i ++) {
		if (j == 0) {
			tmp = (tmp << 24) | (tmp >> 8);
			tmp = sub_word(tmp) ^ Rcon[k];
		} else if (nk > 6 && j == 4) {
			tmp = sub_word(tmp);
		}
		tmp ^= skey[i - nk];
		skey[i] = tmp;
		if (++ j == nk) {
			j = 0;
			k ++;
		}
	}

	for (i = 0, j = 0; i < nkf; i += 4, j += 2) {
		uint64_t q[8];

		br_aes_ct64_interleave_in(&q[0], &q[4], skey + i);
		q[1] = q[0];
		q[2] = q[0];
		q[3] = q[0];
		q[5] = q[4];
		q[6] = q[4];
		q[7] = q[4];
		br_aes_ct64_ortho(q);
		comp_skey[j + 0] =
			  (q[0] & (uint64_t)0x1111111111111111)
			| (q[1] & (uint64_t)0x2222222222222222)
			| (q[2] & (uint64_t)0x4444444444444444)
			| (q[3] & (uint64_t)0x8888888888888888);
		comp_skey[j + 1] =
			  (q[4] & (uint64_t)0x1111111111111111)
			| (q[5] & (uint64_t)0x2222222222222222)
			| (q[6] & (uint64_t)0x4444444444444444)
			| (q[7] & (uint64_t)0x8888888888888888);
	}
	return num_rounds;
}

/* see inner.h */
void
br_aes_ct64_skey_expand(uint64_t *skey,
	unsigned num_rounds, const uint64_t *comp_skey)
{
	unsigned u, v, n;

	n = (num_rounds + 1) << 1;
	for (u = 0, v = 0; u < n; u ++, v += 4) {
		uint64_t x0, x1, x2, x3;

		x0 = x1 = x2 = x3 = comp_skey[u];
		x0 &= (uint64_t)0x1111111111111111;
		x1 &= (uint64_t)0x2222222222222222;
		x2 &= (uint64_t)0x4444444444444444;
		x3 &= (uint64_t)0x8888888888888888;
		x1 >>= 1;
		x2 >>= 2;
		x3 >>= 3;
		skey[v + 0] = (x0 << 4) - x0;
		skey[v + 1] = (x1 << 4) - x1;
		skey[v + 2] = (x2 << 4) - x2;
		skey[v + 3] = (x3 << 4) - x3;
	}
}