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Add Dilithium-III

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This commit is contained in:
Joost Rijneveld 2019-01-16 10:15:18 +01:00
parent d3d6f7b7b7
commit 2a5a628e48
No known key found for this signature in database
GPG Key ID: A4FE39CF49CBC553
21 changed files with 2550 additions and 73 deletions
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1
.clang-format
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@ -1,5 +1,6 @@
---
Language: Cpp
BasedOnStyle: LLVM
AllowShortFunctionsOnASingleLine: false
...

180
common/fips202.c
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@ -6,7 +6,7 @@
* by Gilles Van Assche, Daniel J. Bernstein, and Peter Schwabe */
#include "fips202.h"
#include <assert.h>
#include <stddef.h>
#include <stdint.h>
#define NROUNDS 24
@ -22,11 +22,12 @@
* Returns the loaded 64-bit unsigned integer
**************************************************/
static uint64_t load64(const unsigned char *x) {
unsigned long long r = 0, i;
unsigned int i;
uint64_t r = 0;
for (i = 0; i < 8; ++i)
r |= (uint64_t)x[i] << 8 * i;
for (i = 0; i < 8; ++i) {
r |= (unsigned long long)x[i] << 8 * i;
}
return r;
}
@ -41,10 +42,8 @@ static uint64_t load64(const unsigned char *x) {
static void store64(uint8_t *x, uint64_t u) {
unsigned int i;
for (i = 0; i < 8; ++i) {
x[i] = u;
u >>= 8;
}
for (i = 0; i < 8; ++i)
x[i] = u >> 8 * i;
}
/* Keccak round constants */
@ -67,9 +66,9 @@ static const uint64_t KeccakF_RoundConstants[NROUNDS] = {
*
* Description: The Keccak F1600 Permutation
*
* Arguments: - uint64_t * state: pointer to in/output Keccak state
* Arguments: - uint64_t *state: pointer to input/output Keccak state
**************************************************/
void KeccakF1600_StatePermute(uint64_t *state) {
static void KeccakF1600_StatePermute(uint64_t *state) {
int round;
uint64_t Aba, Abe, Abi, Abo, Abu;
@ -330,35 +329,27 @@ void KeccakF1600_StatePermute(uint64_t *state) {
state[22] = Asi;
state[23] = Aso;
state[24] = Asu;
#undef round
}
#include <string.h>
#define MIN(a, b) ((a) < (b) ? (a) : (b))
/*************************************************
* Name: keccak_absorb
*
* Description: Absorb step of Keccak;
* non-incremental, starts by zeroeing the state.
*
* Arguments: - uint64_t *s: pointer to (uninitialized) output
*Keccak state
* - unsigned int r: rate in bytes (e.g., 168 for
*SHAKE128)
* - const unsigned char *m: pointer to input to be absorbed into
*s
* Arguments: - uint64_t *s: pointer to (uninitialized) output Keccak state
* - unsigned int r: rate in bytes (e.g., 168 for SHAKE128)
* - const unsigned char *m: pointer to input to be absorbed into s
* - unsigned long long mlen: length of input in bytes
* - unsigned char p: domain-separation byte for different
*Keccak-derived functions
* Keccak-derived functions
**************************************************/
static void keccak_absorb(uint64_t *s, unsigned int r, const unsigned char *m,
unsigned long long int mlen, unsigned char p) {
unsigned long long i;
unsigned long long mlen, unsigned char p) {
unsigned int i;
unsigned char t[200];
// Zero state
/* Zero state */
for (i = 0; i < 25; ++i)
s[i] = 0;
@ -386,20 +377,18 @@ static void keccak_absorb(uint64_t *s, unsigned int r, const unsigned char *m,
*
* Description: Squeeze step of Keccak. Squeezes full blocks of r bytes each.
* Modifies the state. Can be called multiple times to keep
*squeezing, i.e., is incremental.
* squeezing, i.e., is incremental.
*
* Arguments: - unsigned char *h: pointer to output blocks
* - unsigned long long int nblocks: number of blocks to be
*squeezed (written to h)
* - uint64_t *s: pointer to in/output Keccak
*state
* - unsigned int r: rate in bytes (e.g., 168 for
*SHAKE128)
* squeezed (written to h)
* - uint64_t *s: pointer to input/output Keccak state
* - unsigned int r: rate in bytes (e.g., 168 for SHAKE128)
**************************************************/
static void keccak_squeezeblocks(unsigned char *h,
unsigned long long int nblocks, uint64_t *s,
unsigned int r) {
static void keccak_squeezeblocks(unsigned char *h, unsigned long nblocks,
uint64_t *s, unsigned int r) {
unsigned int i;
while (nblocks > 0) {
KeccakF1600_StatePermute(s);
for (i = 0; i < (r >> 3); i++) {
@ -416,63 +405,122 @@ static void keccak_squeezeblocks(unsigned char *h,
* Description: Absorb step of the SHAKE128 XOF.
* non-incremental, starts by zeroeing the state.
*
* Arguments: - uint64_t *s: pointer to (uninitialized)
*output Keccak state
* - const unsigned char *input: pointer to input to be
*absorbed into s
* - unsigned long long inputByteLen: length of input in bytes
* Arguments: - uint64_t *s: pointer to (uninitialized) output Keccak state
* - const unsigned char *input: pointer to input to be absorbed
* into s
* - unsigned long long inlen: length of input in bytes
**************************************************/
void shake128_absorb(uint64_t *s, const unsigned char *input,
unsigned int inputByteLen) {
keccak_absorb(s, SHAKE128_RATE, input, inputByteLen, 0x1F);
unsigned long long inlen) {
keccak_absorb(s, SHAKE128_RATE, input, inlen, 0x1F);
}
/*************************************************
* Name: shake128_squeezeblocks
*
* Description: Squeeze step of SHAKE128 XOF. Squeezes full blocks of
*SHAKE128_RATE bytes each. Modifies the state. Can be called multiple times to
*keep squeezing, i.e., is incremental.
* SHAKE128_RATE bytes each. Modifies the state. Can be called
* multiple times to keep squeezing, i.e., is incremental.
*
* Arguments: - unsigned char *output: pointer to output blocks
* - unsigned long long nblocks: number of blocks to be squeezed
*(written to output)
* - uint64_t *s: pointer to in/output Keccak state
* (written to output)
* - uint64_t *s: pointer to input/output Keccak state
**************************************************/
void shake128_squeezeblocks(unsigned char *output, unsigned long long nblocks,
void shake128_squeezeblocks(unsigned char *output, unsigned long nblocks,
uint64_t *s) {
keccak_squeezeblocks(output, nblocks, s, SHAKE128_RATE);
}
/*************************************************
* Name: shake256
*
* Description: SHAKE256 XOF with non-incremental API
*
* Arguments: - unsigned char *output: pointer to output
* - unsigned long long outlen: requested output length in bytes
- const unsigned char *input: pointer to input
- unsigned long long inlen: length of input in bytes
**************************************************/
* Name: shake256_absorb
*
* Description: Absorb step of the SHAKE256 XOF.
* non-incremental, starts by zeroeing the state.
*
* Arguments: - uint64_t *s: pointer to (uninitialized) output Keccak state
* - const unsigned char *input: pointer to input to be absorbed
* into s
* - unsigned long long inlen: length of input in bytes
**************************************************/
void shake256_absorb(uint64_t *s, const unsigned char *input,
unsigned long long inlen) {
keccak_absorb(s, SHAKE256_RATE, input, inlen, 0x1F);
}
/*************************************************
* Name: shake256_squeezeblocks
*
* Description: Squeeze step of SHAKE256 XOF. Squeezes full blocks of
* SHAKE256_RATE bytes each. Modifies the state. Can be called
* multiple times to keep squeezing, i.e., is incremental.
*
* Arguments: - unsigned char *output: pointer to output blocks
* - unsigned long long nblocks: number of blocks to be squeezed
* (written to output)
* - uint64_t *s: pointer to input/output Keccak state
**************************************************/
void shake256_squeezeblocks(unsigned char *output, unsigned long nblocks,
uint64_t *s) {
keccak_squeezeblocks(output, nblocks, s, SHAKE256_RATE);
}
/*************************************************
* Name: shake128
*
* Description: SHAKE128 XOF with non-incremental API
*
* Arguments: - unsigned char *output: pointer to output
* - unsigned long long outlen: requested output length in bytes
* - const unsigned char *input: pointer to input
* - unsigned long long inlen: length of input in bytes
**************************************************/
void shake128(unsigned char *output, unsigned long long outlen,
const unsigned char *input, unsigned long long inlen) {
unsigned int i;
unsigned long nblocks = outlen / SHAKE128_RATE;
unsigned char t[SHAKE128_RATE];
uint64_t s[25];
shake128_absorb(s, input, inlen);
shake128_squeezeblocks(output, nblocks, s);
output += nblocks * SHAKE128_RATE;
outlen -= nblocks * SHAKE128_RATE;
if (outlen) {
shake128_squeezeblocks(t, 1, s);
for (i = 0; i < outlen; ++i)
output[i] = t[i];
}
}
/*************************************************
* Name: shake256
*
* Description: SHAKE256 XOF with non-incremental API
*
* Arguments: - unsigned char *output: pointer to output
* - unsigned long long outlen: requested output length in bytes
* - const unsigned char *input: pointer to input
* - unsigned long long inlen: length of input in bytes
**************************************************/
void shake256(unsigned char *output, unsigned long long outlen,
const unsigned char *input, unsigned long long inlen) {
uint64_t s[25];
unsigned int i;
unsigned long nblocks = outlen / SHAKE256_RATE;
unsigned char t[SHAKE256_RATE];
unsigned long long nblocks = outlen / SHAKE256_RATE;
size_t i;
uint64_t s[25];
/* Absorb input */
keccak_absorb(s, SHAKE256_RATE, input, inlen, 0x1F);
/* Squeeze output */
keccak_squeezeblocks(output, nblocks, s, SHAKE256_RATE);
shake256_absorb(s, input, inlen);
shake256_squeezeblocks(output, nblocks, s);
output += nblocks * SHAKE256_RATE;
outlen -= nblocks * SHAKE256_RATE;
if (outlen) {
keccak_squeezeblocks(t, 1, s, SHAKE256_RATE);
for (i = 0; i < outlen; i++)
shake256_squeezeblocks(t, 1, s);
for (i = 0; i < outlen; ++i)
output[i] = t[i];
}
}

15
common/fips202.h
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@ -9,12 +9,23 @@
#define SHA3_512_RATE 72
void shake128_absorb(uint64_t *s, const unsigned char *input,
unsigned int inputByteLen);
void shake128_squeezeblocks(unsigned char *output, unsigned long long nblocks,
unsigned long long inlen);
void shake128_squeezeblocks(unsigned char *output, unsigned long nblocks,
uint64_t *s);
void shake256_absorb(uint64_t *s, const unsigned char *input,
unsigned long long inlen);
void shake256_squeezeblocks(unsigned char *output, unsigned long nblocks,
uint64_t *s);
void shake128(unsigned char *output, unsigned long long outlen,
const unsigned char *input, unsigned long long inlen);
void shake256(unsigned char *output, unsigned long long outlen,
const unsigned char *input, unsigned long long inlen);
void sha3_256(unsigned char *output, const unsigned char *input,
unsigned long long inlen);
void sha3_512(unsigned char *output, const unsigned char *input,

8
crypto_kem/kyber768/clean/poly.c
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@ -155,7 +155,9 @@ void poly_getnoise(poly *r, const unsigned char *seed, unsigned char nonce) {
*
* Arguments: - uint16_t *r: pointer to in/output polynomial
**************************************************/
void poly_ntt(poly *r) { ntt(r->coeffs); }
void poly_ntt(poly *r) {
ntt(r->coeffs);
}
/*************************************************
* Name: poly_invntt
@ -166,7 +168,9 @@ void poly_ntt(poly *r) { ntt(r->coeffs); }
*
* Arguments: - uint16_t *a: pointer to in/output polynomial
**************************************************/
void poly_invntt(poly *r) { invntt(r->coeffs); }
void poly_invntt(poly *r) {
invntt(r->coeffs);
}
/*************************************************
* Name: poly_add

22
crypto_sign/dilithium-iii/clean/api.h Normal file
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@ -0,0 +1,22 @@
#ifndef API_H
#define API_H
#define MODE 2
#define CRYPTO_PUBLICKEYBYTES 1472U
#define CRYPTO_SECRETKEYBYTES 3504U
#define CRYPTO_BYTES 2701U
#define CRYPTO_ALGNAME "Dilithium-III"
int crypto_sign_keypair(unsigned char *pk, unsigned char *sk);
int crypto_sign(unsigned char *sm, unsigned long long *smlen,
const unsigned char *msg, unsigned long long len,
const unsigned char *sk);
int crypto_sign_open(unsigned char *m, unsigned long long *mlen,
const unsigned char *sm, unsigned long long smlen,
const unsigned char *pk);
#endif

135
crypto_sign/dilithium-iii/clean/ntt.c Normal file
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@ -0,0 +1,135 @@
#include "ntt.h"
#include "params.h"
#include "poly.h"
#include "reduce.h"
/* Roots of unity in order needed by forward ntt */
static const uint32_t zetas[N] = {
0, 25847, 5771523, 7861508, 237124, 7602457, 7504169, 466468,
1826347, 2353451, 8021166, 6288512, 3119733, 5495562, 3111497, 2680103,
2725464, 1024112, 7300517, 3585928, 7830929, 7260833, 2619752, 6271868,
6262231, 4520680, 6980856, 5102745, 1757237, 8360995, 4010497, 280005,
2706023, 95776, 3077325, 3530437, 6718724, 4788269, 5842901, 3915439,
4519302, 5336701, 3574422, 5512770, 3539968, 8079950, 2348700, 7841118,
6681150, 6736599, 3505694, 4558682, 3507263, 6239768, 6779997, 3699596,
811944, 531354, 954230, 3881043, 3900724, 5823537, 2071892, 5582638,
4450022, 6851714, 4702672, 5339162, 6927966, 3475950, 2176455, 6795196,
7122806, 1939314, 4296819, 7380215, 5190273, 5223087, 4747489, 126922,
3412210, 7396998, 2147896, 2715295, 5412772, 4686924, 7969390, 5903370,
7709315, 7151892, 8357436, 7072248, 7998430, 1349076, 1852771, 6949987,
5037034, 264944, 508951, 3097992, 44288, 7280319, 904516, 3958618,
4656075, 8371839, 1653064, 5130689, 2389356, 8169440, 759969, 7063561,
189548, 4827145, 3159746, 6529015, 5971092, 8202977, 1315589, 1341330,
1285669, 6795489, 7567685, 6940675, 5361315, 4499357, 4751448, 3839961,
2091667, 3407706, 2316500, 3817976, 5037939, 2244091, 5933984, 4817955,
266997, 2434439, 7144689, 3513181, 4860065, 4621053, 7183191, 5187039,
900702, 1859098, 909542, 819034, 495491, 6767243, 8337157, 7857917,
7725090, 5257975, 2031748, 3207046, 4823422, 7855319, 7611795, 4784579,
342297, 286988, 5942594, 4108315, 3437287, 5038140, 1735879, 203044,
2842341, 2691481, 5790267, 1265009, 4055324, 1247620, 2486353, 1595974,
4613401, 1250494, 2635921, 4832145, 5386378, 1869119, 1903435, 7329447,
7047359, 1237275, 5062207, 6950192, 7929317, 1312455, 3306115, 6417775,
7100756, 1917081, 5834105, 7005614, 1500165, 777191, 2235880, 3406031,
7838005, 5548557, 6709241, 6533464, 5796124, 4656147, 594136, 4603424,
6366809, 2432395, 2454455, 8215696, 1957272, 3369112, 185531, 7173032,
5196991, 162844, 1616392, 3014001, 810149, 1652634, 4686184, 6581310,
5341501, 3523897, 3866901, 269760, 2213111, 7404533, 1717735, 472078,
7953734, 1723600, 6577327, 1910376, 6712985, 7276084, 8119771, 4546524,
5441381, 6144432, 7959518, 6094090, 183443, 7403526, 1612842, 4834730,
7826001, 3919660, 8332111, 7018208, 3937738, 1400424, 7534263, 1976782};
/* Roots of unity in order needed by inverse ntt */
static const uint32_t zetas_inv[N] = {
6403635, 846154, 6979993, 4442679, 1362209, 48306, 4460757, 554416,
3545687, 6767575, 976891, 8196974, 2286327, 420899, 2235985, 2939036,
3833893, 260646, 1104333, 1667432, 6470041, 1803090, 6656817, 426683,
7908339, 6662682, 975884, 6167306, 8110657, 4513516, 4856520, 3038916,
1799107, 3694233, 6727783, 7570268, 5366416, 6764025, 8217573, 3183426,
1207385, 8194886, 5011305, 6423145, 164721, 5925962, 5948022, 2013608,
3776993, 7786281, 3724270, 2584293, 1846953, 1671176, 2831860, 542412,
4974386, 6144537, 7603226, 6880252, 1374803, 2546312, 6463336, 1279661,
1962642, 5074302, 7067962, 451100, 1430225, 3318210, 7143142, 1333058,
1050970, 6476982, 6511298, 2994039, 3548272, 5744496, 7129923, 3767016,
6784443, 5894064, 7132797, 4325093, 7115408, 2590150, 5688936, 5538076,
8177373, 6644538, 3342277, 4943130, 4272102, 2437823, 8093429, 8038120,
3595838, 768622, 525098, 3556995, 5173371, 6348669, 3122442, 655327,
522500, 43260, 1613174, 7884926, 7561383, 7470875, 6521319, 7479715,
3193378, 1197226, 3759364, 3520352, 4867236, 1235728, 5945978, 8113420,
3562462, 2446433, 6136326, 3342478, 4562441, 6063917, 4972711, 6288750,
4540456, 3628969, 3881060, 3019102, 1439742, 812732, 1584928, 7094748,
7039087, 7064828, 177440, 2409325, 1851402, 5220671, 3553272, 8190869,
1316856, 7620448, 210977, 5991061, 3249728, 6727353, 8578, 3724342,
4421799, 7475901, 1100098, 8336129, 5282425, 7871466, 8115473, 3343383,
1430430, 6527646, 7031341, 381987, 1308169, 22981, 1228525, 671102,
2477047, 411027, 3693493, 2967645, 5665122, 6232521, 983419, 4968207,
8253495, 3632928, 3157330, 3190144, 1000202, 4083598, 6441103, 1257611,
1585221, 6203962, 4904467, 1452451, 3041255, 3677745, 1528703, 3930395,
2797779, 6308525, 2556880, 4479693, 4499374, 7426187, 7849063, 7568473,
4680821, 1600420, 2140649, 4873154, 3821735, 4874723, 1643818, 1699267,
539299, 6031717, 300467, 4840449, 2867647, 4805995, 3043716, 3861115,
4464978, 2537516, 3592148, 1661693, 4849980, 5303092, 8284641, 5674394,
8100412, 4369920, 19422, 6623180, 3277672, 1399561, 3859737, 2118186,
2108549, 5760665, 1119584, 549488, 4794489, 1079900, 7356305, 5654953,
5700314, 5268920, 2884855, 5260684, 2091905, 359251, 6026966, 6554070,
7913949, 876248, 777960, 8143293, 518909, 2608894, 8354570};
/*************************************************
* Name: ntt
*
* Description: Forward NTT, in-place. No modular reduction is performed after
* additions or subtractions. Hence output coefficients can be up
* to 16*Q larger than the coefficients of the input polynomial.
* Output vector is in bitreversed order.
*
* Arguments: - uint32_t p[N]: input/output coefficient array
**************************************************/
void ntt(uint32_t p[N]) {
unsigned int len, start, j, k;
uint32_t zeta, t;
k = 1;
for (len = 128; len > 0; len >>= 1) {
for (start = 0; start < N; start = j + len) {
zeta = zetas[k++];
for (j = start; j < start + len; ++j) {
t = montgomery_reduce((uint64_t)zeta * p[j + len]);
p[j + len] = p[j] + 2 * Q - t;
p[j] = p[j] + t;
}
}
}
}
/*************************************************
* Name: invntt_frominvmont
*
* Description: Inverse NTT and multiplication by Montgomery factor 2^32.
* In-place. No modular reductions after additions or
* subtractions. Input coefficient need to be smaller than 2*Q.
* Output coefficient are smaller than 2*Q.
*
* Arguments: - uint32_t p[N]: input/output coefficient array
**************************************************/
void invntt_frominvmont(uint32_t p[N]) {
unsigned int start, len, j, k;
uint32_t t, zeta;
const uint32_t f =
(((uint64_t)MONT * MONT % Q) * (Q - 1) % Q) * ((Q - 1) >> 8) % Q;
k = 0;
for (len = 1; len < N; len <<= 1) {
for (start = 0; start < N; start = j + len) {
zeta = zetas_inv[k++];
for (j = start; j < start + len; ++j) {
t = p[j];
p[j] = t + p[j + len];
p[j + len] = t + 256 * Q - p[j + len];
p[j + len] = montgomery_reduce((uint64_t)zeta * p[j + len]);
}
}
}
for (j = 0; j < N; ++j) {
p[j] = montgomery_reduce((uint64_t)f * p[j]);
}
}

10
crypto_sign/dilithium-iii/clean/ntt.h Normal file
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@ -0,0 +1,10 @@
#ifndef NTT_H
#define NTT_H
#include "params.h"
#include <stdint.h>
void ntt(uint32_t p[N]);
void invntt_frominvmont(uint32_t p[N]);
#endif

256
crypto_sign/dilithium-iii/clean/packing.c Normal file
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@ -0,0 +1,256 @@
#include "packing.h"
#include "params.h"
#include "poly.h"
#include "polyvec.h"
/*************************************************
* Name: pack_pk
*
* Description: Bit-pack public key pk = (rho, t1).
*
* Arguments: - unsigned char pk[]: output byte array
* - const unsigned char rho[]: byte array containing rho
* - const polyveck *t1: pointer to vector t1
**************************************************/
void pack_pk(unsigned char pk[CRYPTO_PUBLICKEYBYTES],
const unsigned char rho[SEEDBYTES], const polyveck *t1) {
unsigned int i;
for (i = 0; i < SEEDBYTES; ++i)
pk[i] = rho[i];
pk += SEEDBYTES;
for (i = 0; i < K; ++i)
polyt1_pack(pk + i * POLT1_SIZE_PACKED, t1->vec + i);
}
/*************************************************
* Name: unpack_pk
*
* Description: Unpack public key pk = (rho, t1).
*
* Arguments: - const unsigned char rho[]: output byte array for rho
* - const polyveck *t1: pointer to output vector t1
* - unsigned char pk[]: byte array containing bit-packed pk
**************************************************/
void unpack_pk(unsigned char rho[SEEDBYTES], polyveck *t1,
const unsigned char pk[CRYPTO_PUBLICKEYBYTES]) {
unsigned int i;
for (i = 0; i < SEEDBYTES; ++i)
rho[i] = pk[i];
pk += SEEDBYTES;
for (i = 0; i < K; ++i)
polyt1_unpack(t1->vec + i, pk + i * POLT1_SIZE_PACKED);
}
/*************************************************
* Name: pack_sk
*
* Description: Bit-pack secret key sk = (rho, key, tr, s1, s2, t0).
*
* Arguments: - unsigned char sk[]: output byte array
* - const unsigned char rho[]: byte array containing rho
* - const unsigned char key[]: byte array containing key
* - const unsigned char tr[]: byte array containing tr
* - const polyvecl *s1: pointer to vector s1
* - const polyveck *s2: pointer to vector s2
* - const polyveck *t0: pointer to vector t0
**************************************************/
void pack_sk(unsigned char sk[CRYPTO_SECRETKEYBYTES],
const unsigned char rho[SEEDBYTES],
const unsigned char key[SEEDBYTES],
const unsigned char tr[CRHBYTES], const polyvecl *s1,
const polyveck *s2, const polyveck *t0) {
unsigned int i;
for (i = 0; i < SEEDBYTES; ++i)
sk[i] = rho[i];
sk += SEEDBYTES;
for (i = 0; i < SEEDBYTES; ++i)
sk[i] = key[i];
sk += SEEDBYTES;
for (i = 0; i < CRHBYTES; ++i)
sk[i] = tr[i];
sk += CRHBYTES;
for (i = 0; i < L; ++i)
polyeta_pack(sk + i * POLETA_SIZE_PACKED, s1->vec + i);
sk += L * POLETA_SIZE_PACKED;
for (i = 0; i < K; ++i)
polyeta_pack(sk + i * POLETA_SIZE_PACKED, s2->vec + i);
sk += K * POLETA_SIZE_PACKED;
for (i = 0; i < K; ++i)
polyt0_pack(sk + i * POLT0_SIZE_PACKED, t0->vec + i);
}
/*************************************************
* Name: unpack_sk
*
* Description: Unpack secret key sk = (rho, key, tr, s1, s2, t0).
*
* Arguments: - const unsigned char rho[]: output byte array for rho
* - const unsigned char key[]: output byte array for key
* - const unsigned char tr[]: output byte array for tr
* - const polyvecl *s1: pointer to output vector s1
* - const polyveck *s2: pointer to output vector s2
* - const polyveck *r0: pointer to output vector t0
* - unsigned char sk[]: byte array containing bit-packed sk
**************************************************/
void unpack_sk(unsigned char rho[SEEDBYTES], unsigned char key[SEEDBYTES],
unsigned char tr[CRHBYTES], polyvecl *s1, polyveck *s2,
polyveck *t0, const unsigned char sk[CRYPTO_SECRETKEYBYTES]) {
unsigned int i;
for (i = 0; i < SEEDBYTES; ++i)
rho[i] = sk[i];
sk += SEEDBYTES;
for (i = 0; i < SEEDBYTES; ++i)
key[i] = sk[i];
sk += SEEDBYTES;
for (i = 0; i < CRHBYTES; ++i)
tr[i] = sk[i];
sk += CRHBYTES;
for (i = 0; i < L; ++i)
polyeta_unpack(s1->vec + i, sk + i * POLETA_SIZE_PACKED);
sk += L * POLETA_SIZE_PACKED;
for (i = 0; i < K; ++i)
polyeta_unpack(s2->vec + i, sk + i * POLETA_SIZE_PACKED);
sk += K * POLETA_SIZE_PACKED;
for (i = 0; i < K; ++i)
polyt0_unpack(t0->vec + i, sk + i * POLT0_SIZE_PACKED);
}
/*************************************************
* Name: pack_sig
*
* Description: Bit-pack signature sig = (z, h, c).
*
* Arguments: - unsigned char sig[]: output byte array
* - const polyvecl *z: pointer to vector z
* - const polyveck *h: pointer to hint vector h
* - const poly *c: pointer to challenge polynomial
**************************************************/
void pack_sig(unsigned char sig[CRYPTO_BYTES], const polyvecl *z,
const polyveck *h, const poly *c) {
unsigned int i, j, k;
uint64_t signs, mask;
for (i = 0; i < L; ++i)
polyz_pack(sig + i * POLZ_SIZE_PACKED, z->vec + i);
sig += L * POLZ_SIZE_PACKED;
/* Encode h */
k = 0;
for (i = 0; i < K; ++i) {
for (j = 0; j < N; ++j)
if (h->vec[i].coeffs[j] != 0)
sig[k++] = j;
sig[OMEGA + i] = k;
}
while (k < OMEGA)
sig[k++] = 0;
sig += OMEGA + K;
/* Encode c */
signs = 0;
mask = 1;
for (i = 0; i < N / 8; ++i) {
sig[i] = 0;
for (j = 0; j < 8; ++j) {
if (c->coeffs[8 * i + j] != 0) {
sig[i] |= (1U << j);
if (c->coeffs[8 * i + j] == (Q - 1))
signs |= mask;
mask <<= 1;
}
}
}
sig += N / 8;
for (i = 0; i < 8; ++i)
sig[i] = signs >> 8 * i;
}
/*************************************************
* Name: unpack_sig
*
* Description: Unpack signature sig = (z, h, c).
*
* Arguments: - polyvecl *z: pointer to output vector z
* - polyveck *h: pointer to output hint vector h
* - poly *c: pointer to output challenge polynomial
* - const unsigned char sig[]: byte array containing
* bit-packed signature
*
* Returns 1 in case of malformed signature; otherwise 0.
**************************************************/
int unpack_sig(polyvecl *z, polyveck *h, poly *c,
const unsigned char sig[CRYPTO_BYTES]) {
unsigned int i, j, k;
uint64_t signs, mask;
for (i = 0; i < L; ++i)
polyz_unpack(z->vec + i, sig + i * POLZ_SIZE_PACKED);
sig += L * POLZ_SIZE_PACKED;
/* Decode h */
k = 0;
for (i = 0; i < K; ++i) {
for (j = 0; j < N; ++j)
h->vec[i].coeffs[j] = 0;
if (sig[OMEGA + i] < k || sig[OMEGA + i] > OMEGA)
return 1;
for (j = k; j < sig[OMEGA + i]; ++j) {
/* Coefficients are ordered for strong unforgeability */
if (j > k && sig[j] <= sig[j - 1])
return 1;
h->vec[i].coeffs[sig[j]] = 1;
}
k = sig[OMEGA + i];
}
/* Extra indices are zero for strong unforgeability */
for (j = k; j < OMEGA; ++j)
if (sig[j])
return 1;
sig += OMEGA + K;
/* Decode c */
for (i = 0; i < N; ++i)
c->coeffs[i] = 0;
signs = 0;
for (i = 0; i < 8; ++i)
signs |= (uint64_t)sig[N / 8 + i] << 8 * i;
/* Extra sign bits are zero for strong unforgeability */
if (signs >> 60)
return 1;
mask = 1;
for (i = 0; i < N / 8; ++i) {
for (j = 0; j < 8; ++j) {
if ((sig[i] >> j) & 0x01) {
c->coeffs[8 * i + j] = (signs & mask) ? Q - 1 : 1;
mask <<= 1;
}
}
}
return 0;
}

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#ifndef PACKING_H
#define PACKING_H
#include "params.h"
#include "polyvec.h"
void pack_pk(unsigned char pk[CRYPTO_PUBLICKEYBYTES],
const unsigned char rho[SEEDBYTES], const polyveck *t1);
void pack_sk(unsigned char sk[CRYPTO_SECRETKEYBYTES],
const unsigned char rho[SEEDBYTES],
const unsigned char key[SEEDBYTES],
const unsigned char tr[CRHBYTES], const polyvecl *s1,
const polyveck *s2, const polyveck *t0);
void pack_sig(unsigned char sig[CRYPTO_BYTES], const polyvecl *z,
const polyveck *h, const poly *c);
void unpack_pk(unsigned char rho[SEEDBYTES], polyveck *t1,
const unsigned char pk[CRYPTO_PUBLICKEYBYTES]);
void unpack_sk(unsigned char rho[SEEDBYTES], unsigned char key[SEEDBYTES],
unsigned char tr[CRHBYTES], polyvecl *s1, polyveck *s2,
polyveck *t0, const unsigned char sk[CRYPTO_SECRETKEYBYTES]);
int unpack_sig(polyvecl *z, polyveck *h, poly *c,
const unsigned char sig[CRYPTO_BYTES]);
#endif

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#ifndef PARAMS_H
#define PARAMS_H
#ifndef MODE
#define MODE 2
#endif
#define SEEDBYTES 32U
#define CRHBYTES 48U
#define N 256U
#define Q 8380417U
#define QBITS 23U
#define ROOT_OF_UNITY 1753U
#define D 14U
#define GAMMA1 ((Q - 1U) / 16U)
#define GAMMA2 (GAMMA1 / 2U)
#define ALPHA (2U * GAMMA2)
#if MODE == 0
#define K 3U
#define L 2U
#define ETA 7U
#define SETABITS 4U
#define BETA 375U
#define OMEGA 64U
#elif MODE == 1
#define K 4U
#define L 3U
#define ETA 6U
#define SETABITS 4U
#define BETA 325U
#define OMEGA 80U
#elif MODE == 2
#define K 5U
#define L 4U
#define ETA 5U
#define SETABITS 4U
#define BETA 275U
#define OMEGA 96U
#elif MODE == 3
#define K 6U
#define L 5U
#define ETA 3U
#define SETABITS 3U
#define BETA 175U
#define OMEGA 120U
#endif
#define POL_SIZE_PACKED ((N * QBITS) / 8)
#define POLT1_SIZE_PACKED ((N * (QBITS - D)) / 8)
#define POLT0_SIZE_PACKED ((N * D) / 8)
#define POLETA_SIZE_PACKED ((N * SETABITS) / 8)
#define POLZ_SIZE_PACKED ((N * (QBITS - 3)) / 8)
#define POLW1_SIZE_PACKED ((N * 4) / 8)
#define POLVECK_SIZE_PACKED (K * POL_SIZE_PACKED)
#define POLVECL_SIZE_PACKED (L * POL_SIZE_PACKED)
#define CRYPTO_PUBLICKEYBYTES (SEEDBYTES + K * POLT1_SIZE_PACKED)
#define CRYPTO_SECRETKEYBYTES \
(2 * SEEDBYTES + (L + K) * POLETA_SIZE_PACKED + CRHBYTES + \
K * POLT0_SIZE_PACKED)
#define CRYPTO_BYTES (L * POLZ_SIZE_PACKED + (OMEGA + K) + (N / 8 + 8))
#endif

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#include "poly.h"
#include "fips202.h"
#include "ntt.h"
#include "params.h"
#include "reduce.h"
#include "rounding.h"
#include <stdint.h>
/*************************************************
* Name: poly_reduce
*
* Description: Reduce all coefficients of input polynomial to representative
* in [0,2*Q[.
*
* Arguments: - poly *a: pointer to input/output polynomial
**************************************************/
void poly_reduce(poly *a) {
unsigned int i;
for (i = 0; i < N; ++i)
a->coeffs[i] = reduce32(a->coeffs[i]);
}
/*************************************************
* Name: poly_csubq
*
* Description: For all coefficients of input polynomial subtract Q if
* coefficient is bigger than Q.
*
* Arguments: - poly *a: pointer to input/output polynomial
**************************************************/
void poly_csubq(poly *a) {
unsigned int i;
for (i = 0; i < N; ++i)
a->coeffs[i] = csubq(a->coeffs[i]);
}
/*************************************************
* Name: poly_freeze
*
* Description: Reduce all coefficients of the polynomial to standard
* representatives.
*
* Arguments: - poly *a: pointer to input/output polynomial
**************************************************/
void poly_freeze(poly *a) {
unsigned int i;
for (i = 0; i < N; ++i)
a->coeffs[i] = freeze(a->coeffs[i]);
}
/*************************************************
* Name: poly_add
*
* Description: Add polynomials. No modular reduction is performed.
*
* Arguments: - poly *c: pointer to output polynomial
* - const poly *a: pointer to first summand
* - const poly *b: pointer to second summand
**************************************************/
void poly_add(poly *c, const poly *a, const poly *b) {
unsigned int i;
for (i = 0; i < N; ++i)
c->coeffs[i] = a->coeffs[i] + b->coeffs[i];
}
/*************************************************
* Name: poly_sub
*
* Description: Subtract polynomials. Assumes coefficients of second input
* polynomial to be less than 2*Q. No modular reduction is
* performed.
*
* Arguments: - poly *c: pointer to output polynomial
* - const poly *a: pointer to first input polynomial
* - const poly *b: pointer to second input polynomial to be
* subtraced from first input polynomial
**************************************************/
void poly_sub(poly *c, const poly *a, const poly *b) {
unsigned int i;
for (i = 0; i < N; ++i)
c->coeffs[i] = a->coeffs[i] + 2 * Q - b->coeffs[i];
}
/*************************************************
* Name: poly_neg
*
* Description: Negate polynomial. Assumes input coefficients to be standard
* representatives.
*
* Arguments: - poly *a: pointer to input/output polynomial
**************************************************/
void poly_neg(poly *a) {
unsigned int i;
for (i = 0; i < N; ++i)
a->coeffs[i] = Q - a->coeffs[i];
}
/*************************************************
* Name: poly_shiftl
*
* Description: Multiply polynomial by 2^k without modular reduction. Assumes
* input coefficients to be less than 2^{32-k}.
*
* Arguments: - poly *a: pointer to input/output polynomial
* - unsigned int k: exponent
**************************************************/
void poly_shiftl(poly *a, unsigned int k) {
unsigned int i;
for (i = 0; i < N; ++i)
a->coeffs[i] <<= k;
}
/*************************************************
* Name: poly_ntt
*
* Description: Forward NTT. Output coefficients can be up to 16*Q larger than
* input coefficients.
*
* Arguments: - poly *a: pointer to input/output polynomial
**************************************************/
void poly_ntt(poly *a) {
ntt(a->coeffs);
}
/*************************************************
* Name: poly_invntt_montgomery
*
* Description: Inverse NTT and multiplication with 2^{32}. Input coefficients
* need to be less than 2*Q. Output coefficients are less than 2*Q.
*
* Arguments: - poly *a: pointer to input/output polynomial
**************************************************/
void poly_invntt_montgomery(poly *a) {
invntt_frominvmont(a->coeffs);
}
/*************************************************
* Name: poly_pointwise_invmontgomery
*
* Description: Pointwise multiplication of polynomials in NTT domain
* representation and multiplication of resulting polynomial
* with 2^{-32}. Output coefficients are less than 2*Q if input
* coefficient are less than 22*Q.
*
* Arguments: - poly *c: pointer to output polynomial
* - const poly *a: pointer to first input polynomial
* - const poly *b: pointer to second input polynomial
**************************************************/
void poly_pointwise_invmontgomery(poly *c, const poly *a, const poly *b) {
unsigned int i;
for (i = 0; i < N; ++i)
c->coeffs[i] = montgomery_reduce((uint64_t)a->coeffs[i] * b->coeffs[i]);
}
/*************************************************
* Name: poly_power2round
*
* Description: For all coefficients c of the input polynomial,
* compute c0, c1 such that c mod Q = c1*2^D + c0
* with -2^{D-1} < c0 <= 2^{D-1}. Assumes coefficients to be
* standard representatives.
*
* Arguments: - poly *a1: pointer to output polynomial with coefficients c1
* - poly *a0: pointer to output polynomial with coefficients Q +
*a0
* - const poly *v: pointer to input polynomial
**************************************************/
void poly_power2round(poly *a1, poly *a0, const poly *a) {
unsigned int i;
for (i = 0; i < N; ++i)
a1->coeffs[i] = power2round(a->coeffs[i], a0->coeffs + i);
}
/*************************************************
* Name: poly_decompose
*
* Description: For all coefficients c of the input polynomial,
* compute high and low bits c0, c1 such c mod Q = c1*ALPHA + c0
* with -ALPHA/2 < c0 <= ALPHA/2 except c1 = (Q-1)/ALPHA where we
* set c1 = 0 and -ALPHA/2 <= c0 = c mod Q - Q < 0.
* Assumes coefficients to be standard representatives.
*
* Arguments: - poly *a1: pointer to output polynomial with coefficients c1
* - poly *a0: pointer to output polynomial with coefficients Q +
*a0
* - const poly *c: pointer to input polynomial
**************************************************/
void poly_decompose(poly *a1, poly *a0, const poly *a) {
unsigned int i;
for (i = 0; i < N; ++i)
a1->coeffs[i] = decompose(a->coeffs[i], a0->coeffs + i);
}
/*************************************************
* Name: poly_make_hint
*
* Description: Compute hint polynomial. The coefficients of which indicate
* whether the high bits of the corresponding coefficients
* of the first input polynomial and of the sum of the input
* polynomials differ.
*
* Arguments: - poly *h: pointer to output hint polynomial
* - const poly *a: pointer to first input polynomial
* - const poly *b: pointer to second input polynomial
*
* Returns number of 1 bits.
**************************************************/
unsigned int poly_make_hint(poly *h, const poly *a, const poly *b) {
unsigned int i, s = 0;
for (i = 0; i < N; ++i) {
h->coeffs[i] = make_hint(a->coeffs[i], b->coeffs[i]);
s += h->coeffs[i];
}
return s;
}
/*************************************************
* Name: poly_use_hint
*
* Description: Use hint polynomial to correct the high bits of a polynomial.
*
* Arguments: - poly *a: pointer to output polynomial with corrected high bits
* - const poly *b: pointer to input polynomial
* - const poly *h: pointer to input hint polynomial
**************************************************/
void poly_use_hint(poly *a, const poly *b, const poly *h) {
unsigned int i;
for (i = 0; i < N; ++i)
a->coeffs[i] = use_hint(b->coeffs[i], h->coeffs[i]);
}
/*************************************************
* Name: poly_chknorm
*
* Description: Check infinity norm of polynomial against given bound.
* Assumes input coefficients to be standard representatives.
*
* Arguments: - const poly *a: pointer to polynomial
* - uint32_t B: norm bound
*
* Returns 0 if norm is strictly smaller than B and 1 otherwise.
**************************************************/
int poly_chknorm(const poly *a, uint32_t B) {
unsigned int i;
int32_t t;
/* It is ok to leak which coefficient violates the bound since
the probability for each coefficient is independent of secret
data but we must not leak the sign of the centralized representative. */
for (i = 0; i < N; ++i) {
/* Absolute value of centralized representative */
t = (Q - 1) / 2 - a->coeffs[i];
t ^= (t >> 31);
t = (Q - 1) / 2 - t;
if ((uint32_t)t >= B) {
return 1;
}
}
return 0;
}
/*************************************************
* Name: poly_uniform
*
* Description: Sample uniformly random polynomial using stream of random bytes.
* Assumes that enough random bytes are given (e.g.
* 5*SHAKE128_RATE bytes).
*
* Arguments: - poly *a: pointer to output polynomial
* - const unsigned char *buf: array of random bytes
**************************************************/
void poly_uniform(poly *a, const unsigned char *buf) {
unsigned int ctr, pos;
uint32_t t;
ctr = pos = 0;
while (ctr < N) {
t = buf[pos++];
t |= (uint32_t)buf[pos++] << 8;
t |= (uint32_t)buf[pos++] << 16;
t &= 0x7FFFFF;
if (t < Q)
a->coeffs[ctr++] = t;
}
}
/*************************************************
* Name: rej_eta
*
* Description: Sample uniformly random coefficients in [-ETA, ETA] by
* performing rejection sampling using array of random bytes.
*
* Arguments: - uint32_t *a: pointer to output array (allocated)
* - unsigned int len: number of coefficients to be sampled
* - const unsigned char *buf: array of random bytes
* - unsigned int buflen: length of array of random bytes
*
* Returns number of sampled coefficients. Can be smaller than len if not enough
* random bytes were given.
**************************************************/
static unsigned int rej_eta(uint32_t *a, unsigned int len,
const unsigned char *buf, unsigned int buflen) {
#if ETA > 7
#error "rej_eta() assumes ETA <= 7"
#endif
unsigned int ctr, pos;
unsigned char t0, t1;
ctr = pos = 0;
while (ctr < len && pos < buflen) {
#if ETA <= 3
t0 = buf[pos] & 0x07;
t1 = buf[pos++] >> 5;
#else
t0 = buf[pos] & 0x0F;
t1 = buf[pos++] >> 4;
#endif
if (t0 <= 2 * ETA)
a[ctr++] = Q + ETA - t0;
if (t1 <= 2 * ETA && ctr < len)
a[ctr++] = Q + ETA - t1;
}
return ctr;
}
/*************************************************
* Name: poly_uniform_eta
*
* Description: Sample polynomial with uniformly random coefficients
* in [-ETA,ETA] by performing rejection sampling using the
* output stream from SHAKE256(seed|nonce).
*
* Arguments: - poly *a: pointer to output polynomial
* - const unsigned char seed[]: byte array with seed of length
* SEEDBYTES
* - unsigned char nonce: nonce byte
**************************************************/
void poly_uniform_eta(poly *a, const unsigned char seed[SEEDBYTES],
unsigned char nonce) {
unsigned int i, ctr;
unsigned char inbuf[SEEDBYTES + 1];
/* Probability that we need more than 2 blocks: < 2^{-84}
Probability that we need more than 3 blocks: < 2^{-352} */
unsigned char outbuf[2 * SHAKE256_RATE];
uint64_t state[25];
for (i = 0; i < SEEDBYTES; ++i)
inbuf[i] = seed[i];
inbuf[SEEDBYTES] = nonce;
shake256_absorb(state, inbuf, SEEDBYTES + 1);
shake256_squeezeblocks(outbuf, 2, state);
ctr = rej_eta(a->coeffs, N, outbuf, 2 * SHAKE256_RATE);
if (ctr < N) {
shake256_squeezeblocks(outbuf, 1, state);
rej_eta(a->coeffs + ctr, N - ctr, outbuf, SHAKE256_RATE);
}
}
/*************************************************
* Name: rej_gamma1m1
*
* Description: Sample uniformly random coefficients
* in [-(GAMMA1 - 1), GAMMA1 - 1] by performing rejection sampling
* using array of random bytes.
*
* Arguments: - uint32_t *a: pointer to output array (allocated)
* - unsigned int len: number of coefficients to be sampled
* - const unsigned char *buf: array of random bytes
* - unsigned int buflen: length of array of random bytes
*
* Returns number of sampled coefficients. Can be smaller than len if not enough
* random bytes were given.
**************************************************/
static unsigned int rej_gamma1m1(uint32_t *a, unsigned int len,
const unsigned char *buf,
unsigned int buflen) {
#if GAMMA1 > (1 << 19)
#error "rej_gamma1m1() assumes GAMMA1 - 1 fits in 19 bits"
#endif
unsigned int ctr, pos;
uint32_t t0, t1;
ctr = pos = 0;
while (ctr < len && pos + 5 <= buflen) {
t0 = buf[pos];
t0 |= (uint32_t)buf[pos + 1] << 8;
t0 |= (uint32_t)buf[pos + 2] << 16;
t0 &= 0xFFFFF;
t1 = buf[pos + 2] >> 4;
t1 |= (uint32_t)buf[pos + 3] << 4;
t1 |= (uint32_t)buf[pos + 4] << 12;
pos += 5;
if (t0 <= 2 * GAMMA1 - 2)
a[ctr++] = Q + GAMMA1 - 1 - t0;
if (t1 <= 2 * GAMMA1 - 2 && ctr < len)
a[ctr++] = Q + GAMMA1 - 1 - t1;
}
return ctr;
}
/*************************************************
* Name: poly_uniform_gamma1m1
*
* Description: Sample polynomial with uniformly random coefficients
* in [-(GAMMA1 - 1), GAMMA1 - 1] by performing rejection
* sampling on output stream of SHAKE256(seed|nonce).
*
* Arguments: - poly *a: pointer to output polynomial
* - const unsigned char seed[]: byte array with seed of length
* SEEDBYTES + CRHBYTES
* - uint16_t nonce: 16-bit nonce
**************************************************/
void poly_uniform_gamma1m1(poly *a,
const unsigned char seed[SEEDBYTES + CRHBYTES],
uint16_t nonce) {
unsigned int i, ctr;
unsigned char inbuf[SEEDBYTES + CRHBYTES + 2];
/* Probability that we need more than 5 blocks: < 2^{-81}
Probability that we need more than 6 blocks: < 2^{-467} */
unsigned char outbuf[5 * SHAKE256_RATE];
uint64_t state[25];
for (i = 0; i < SEEDBYTES + CRHBYTES; ++i)
inbuf[i] = seed[i];
inbuf[SEEDBYTES + CRHBYTES] = nonce & 0xFF;
inbuf[SEEDBYTES + CRHBYTES + 1] = nonce >> 8;
shake256_absorb(state, inbuf, SEEDBYTES + CRHBYTES + 2);
shake256_squeezeblocks(outbuf, 5, state);
ctr = rej_gamma1m1(a->coeffs, N, outbuf, 5 * SHAKE256_RATE);
if (ctr < N) {
/* There are no bytes left in outbuf
since 5*SHAKE256_RATE is divisible by 5 */
shake256_squeezeblocks(outbuf, 1, state);
rej_gamma1m1(a->coeffs + ctr, N - ctr, outbuf, SHAKE256_RATE);
}
}
/*************************************************
* Name: polyeta_pack
*
* Description: Bit-pack polynomial with coefficients in [-ETA,ETA].
* Input coefficients are assumed to lie in [Q-ETA,Q+ETA].
*
* Arguments: - unsigned char *r: pointer to output byte array with at least
* POLETA_SIZE_PACKED bytes
* - const poly *a: pointer to input polynomial
**************************************************/
void polyeta_pack(unsigned char *r, const poly *a) {
#if ETA > 7
#error "polyeta_pack() assumes ETA <= 7"
#endif
unsigned int i;
unsigned char t[8];
#if ETA <= 3
for (i = 0; i < N / 8; ++i) {
t[0] = Q + ETA - a->coeffs[8 * i + 0];
t[1] = Q + ETA - a->coeffs[8 * i + 1];
t[2] = Q + ETA - a->coeffs[8 * i + 2];
t[3] = Q + ETA - a->coeffs[8 * i + 3];
t[4] = Q + ETA - a->coeffs[8 * i + 4];
t[5] = Q + ETA - a->coeffs[8 * i + 5];
t[6] = Q + ETA - a->coeffs[8 * i + 6];
t[7] = Q + ETA - a->coeffs[8 * i + 7];
r[3 * i + 0] = t[0];
r[3 * i + 0] |= t[1] << 3;
r[3 * i + 0] |= t[2] << 6;
r[3 * i + 1] = t[2] >> 2;
r[3 * i + 1] |= t[3] << 1;
r[3 * i + 1] |= t[4] << 4;
r[3 * i + 1] |= t[5] << 7;
r[3 * i + 2] = t[5] >> 1;
r[3 * i + 2] |= t[6] << 2;
r[3 * i + 2] |= t[7] << 5;
}
#else
for (i = 0; i < N / 2; ++i) {
t[0] = Q + ETA - a->coeffs[2 * i + 0];
t[1] = Q + ETA - a->coeffs[2 * i + 1];
r[i] = t[0] | (t[1] << 4);
}
#endif
}
/*************************************************
* Name: polyeta_unpack
*
* Description: Unpack polynomial with coefficients in [-ETA,ETA].
* Output coefficients lie in [Q-ETA,Q+ETA].
*
* Arguments: - poly *r: pointer to output polynomial
* - const unsigned char *a: byte array with bit-packed polynomial
**************************************************/
void polyeta_unpack(poly *r, const unsigned char *a) {
unsigned int i;
#if ETA <= 3
for (i = 0; i < N / 8; ++i) {
r->coeffs[8 * i + 0] = a[3 * i + 0] & 0x07;
r->coeffs[8 * i + 1] = (a[3 * i + 0] >> 3) & 0x07;
r->coeffs[8 * i + 2] = (a[3 * i + 0] >> 6) | ((a[3 * i + 1] & 0x01) << 2);
r->coeffs[8 * i + 3] = (a[3 * i + 1] >> 1) & 0x07;
r->coeffs[8 * i + 4] = (a[3 * i + 1] >> 4) & 0x07;
r->coeffs[8 * i + 5] = (a[3 * i + 1] >> 7) | ((a[3 * i + 2] & 0x03) << 1);
r->coeffs[8 * i + 6] = (a[3 * i + 2] >> 2) & 0x07;
r->coeffs[8 * i + 7] = (a[3 * i + 2] >> 5);
r->coeffs[8 * i + 0] = Q + ETA - r->coeffs[8 * i + 0];
r->coeffs[8 * i + 1] = Q + ETA - r->coeffs[8 * i + 1];
r->coeffs[8 * i + 2] = Q + ETA - r->coeffs[8 * i + 2];
r->coeffs[8 * i + 3] = Q + ETA - r->coeffs[8 * i + 3];
r->coeffs[8 * i + 4] = Q + ETA - r->coeffs[8 * i + 4];
r->coeffs[8 * i + 5] = Q + ETA - r->coeffs[8 * i + 5];
r->coeffs[8 * i + 6] = Q + ETA - r->coeffs[8 * i + 6];
r->coeffs[8 * i + 7] = Q + ETA - r->coeffs[8 * i + 7];
}
#else
for (i = 0; i < N / 2; ++i) {
r->coeffs[2 * i + 0] = a[i] & 0x0F;
r->coeffs[2 * i + 1] = a[i] >> 4;
r->coeffs[2 * i + 0] = Q + ETA - r->coeffs[2 * i + 0];
r->coeffs[2 * i + 1] = Q + ETA - r->coeffs[2 * i + 1];
}
#endif
}
/*************************************************
* Name: polyt1_pack
*
* Description: Bit-pack polynomial t1 with coefficients fitting in 9 bits.
* Input coefficients are assumed to be standard representatives.
*
* Arguments: - unsigned char *r: pointer to output byte array with at least
* POLT1_SIZE_PACKED bytes
* - const poly *a: pointer to input polynomial
**************************************************/
void polyt1_pack(unsigned char *r, const poly *a) {
#if D != 14
#error "polyt1_pack() assumes D == 14"
#endif
unsigned int i;
for (i = 0; i < N / 8; ++i) {
r[9 * i + 0] = a->coeffs[8 * i + 0] & 0xFF;
r[9 * i + 1] =
(a->coeffs[8 * i + 0] >> 8) | ((a->coeffs[8 * i + 1] & 0x7F) << 1);
r[9 * i + 2] =
(a->coeffs[8 * i + 1] >> 7) | ((a->coeffs[8 * i + 2] & 0x3F) << 2);
r[9 * i + 3] =
(a->coeffs[8 * i + 2] >> 6) | ((a->coeffs[8 * i + 3] & 0x1F) << 3);
r[9 * i + 4] =
(a->coeffs[8 * i + 3] >> 5) | ((a->coeffs[8 * i + 4] & 0x0F) << 4);
r[9 * i + 5] =
(a->coeffs[8 * i + 4] >> 4) | ((a->coeffs[8 * i + 5] & 0x07) << 5);
r[9 * i + 6] =
(a->coeffs[8 * i + 5] >> 3) | ((a->coeffs[8 * i + 6] & 0x03) << 6);
r[9 * i + 7] =
(a->coeffs[8 * i + 6] >> 2) | ((a->coeffs[8 * i + 7] & 0x01) << 7);
r[9 * i + 8] = a->coeffs[8 * i + 7] >> 1;
}
}
/*************************************************
* Name: polyt1_unpack
*
* Description: Unpack polynomial t1 with 9-bit coefficients.
* Output coefficients are standard representatives.
*
* Arguments: - poly *r: pointer to output polynomial
* - const unsigned char *a: byte array with bit-packed polynomial
**************************************************/
void polyt1_unpack(poly *r, const unsigned char *a) {
unsigned int i;
for (i = 0; i < N / 8; ++i) {
r->coeffs[8 * i + 0] =
a[9 * i + 0] | ((uint32_t)(a[9 * i + 1] & 0x01) << 8);
r->coeffs[8 * i + 1] =
(a[9 * i + 1] >> 1) | ((uint32_t)(a[9 * i + 2] & 0x03) << 7);
r->coeffs[8 * i + 2] =
(a[9 * i + 2] >> 2) | ((uint32_t)(a[9 * i + 3] & 0x07) << 6);
r->coeffs[8 * i + 3] =
(a[9 * i + 3] >> 3) | ((uint32_t)(a[9 * i + 4] & 0x0F) << 5);
r->coeffs[8 * i + 4] =
(a[9 * i + 4] >> 4) | ((uint32_t)(a[9 * i + 5] & 0x1F) << 4);
r->coeffs[8 * i + 5] =
(a[9 * i + 5] >> 5) | ((uint32_t)(a[9 * i + 6] & 0x3F) << 3);
r->coeffs[8 * i + 6] =
(a[9 * i + 6] >> 6) | ((uint32_t)(a[9 * i + 7] & 0x7F) << 2);
r->coeffs[8 * i + 7] =
(a[9 * i + 7] >> 7) | ((uint32_t)(a[9 * i + 8] & 0xFF) << 1);
}
}
/*************************************************
* Name: polyt0_pack
*
* Description: Bit-pack polynomial t0 with coefficients in ]-2^{D-1}, 2^{D-1}].
* Input coefficients are assumed to lie in ]Q-2^{D-1}, Q+2^{D-1}].
*
* Arguments: - unsigned char *r: pointer to output byte array with at least
* POLT0_SIZE_PACKED bytes
* - const poly *a: pointer to input polynomial
**************************************************/
void polyt0_pack(unsigned char *r, const poly *a) {
unsigned int i;
uint32_t t[4];
for (i = 0; i < N / 4; ++i) {
t[0] = Q + (1 << (D - 1)) - a->coeffs[4 * i + 0];
t[1] = Q + (1 << (D - 1)) - a->coeffs[4 * i + 1];
t[2] = Q + (1 << (D - 1)) - a->coeffs[4 * i + 2];
t[3] = Q + (1 << (D - 1)) - a->coeffs[4 * i + 3];
r[7 * i + 0] = t[0];
r[7 * i + 1] = t[0] >> 8;
r[7 * i + 1] |= t[1] << 6;
r[7 * i + 2] = t[1] >> 2;
r[7 * i + 3] = t[1] >> 10;
r[7 * i + 3] |= t[2] << 4;
r[7 * i + 4] = t[2] >> 4;
r[7 * i + 5] = t[2] >> 12;
r[7 * i + 5] |= t[3] << 2;
r[7 * i + 6] = t[3] >> 6;
}
}
/*************************************************
* Name: polyt0_unpack
*
* Description: Unpack polynomial t0 with coefficients in ]-2^{D-1}, 2^{D-1}].
* Output coefficients lie in ]Q-2^{D-1},Q+2^{D-1}].
*
* Arguments: - poly *r: pointer to output polynomial
* - const unsigned char *a: byte array with bit-packed polynomial
**************************************************/
void polyt0_unpack(poly *r, const unsigned char *a) {
unsigned int i;
for (i = 0; i < N / 4; ++i) {
r->coeffs[4 * i + 0] = a[7 * i + 0];
r->coeffs[4 * i + 0] |= (uint32_t)(a[7 * i + 1] & 0x3F) << 8;
r->coeffs[4 * i + 1] = a[7 * i + 1] >> 6;
r->coeffs[4 * i + 1] |= (uint32_t)a[7 * i + 2] << 2;
r->coeffs[4 * i + 1] |= (uint32_t)(a[7 * i + 3] & 0x0F) << 10;
r->coeffs[4 * i + 2] = a[7 * i + 3] >> 4;
r->coeffs[4 * i + 2] |= (uint32_t)a[7 * i + 4] << 4;
r->coeffs[4 * i + 2] |= (uint32_t)(a[7 * i + 5] & 0x03) << 12;
r->coeffs[4 * i + 3] = a[7 * i + 5] >> 2;
r->coeffs[4 * i + 3] |= (uint32_t)a[7 * i + 6] << 6;
r->coeffs[4 * i + 0] = Q + (1 << (D - 1)) - r->coeffs[4 * i + 0];
r->coeffs[4 * i + 1] = Q + (1 << (D - 1)) - r->coeffs[4 * i + 1];
r->coeffs[4 * i + 2] = Q + (1 << (D - 1)) - r->coeffs[4 * i + 2];
r->coeffs[4 * i + 3] = Q + (1 << (D - 1)) - r->coeffs[4 * i + 3];
}
}
/*************************************************
* Name: polyz_pack
*
* Description: Bit-pack polynomial z with coefficients
* in [-(GAMMA1 - 1), GAMMA1 - 1].
* Input coefficients are assumed to be standard representatives.
*
* Arguments: - unsigned char *r: pointer to output byte array with at least
* POLZ_SIZE_PACKED bytes
* - const poly *a: pointer to input polynomial
**************************************************/
void polyz_pack(unsigned char *r, const poly *a) {
#if GAMMA1 > (1 << 19)
#error "polyz_pack() assumes GAMMA1 <= 2^{19}"
#endif
unsigned int i;
uint32_t t[2];
for (i = 0; i < N / 2; ++i) {
/* Map to {0,...,2*GAMMA1 - 2} */
t[0] = GAMMA1 - 1 - a->coeffs[2 * i + 0];
t[0] += ((int32_t)t[0] >> 31) & Q;
t[1] = GAMMA1 - 1 - a->coeffs[2 * i + 1];
t[1] += ((int32_t)t[1] >> 31) & Q;
r[5 * i + 0] = t[0];
r[5 * i + 1] = t[0] >> 8;
r[5 * i + 2] = t[0] >> 16;
r[5 * i + 2] |= t[1] << 4;
r[5 * i + 3] = t[1] >> 4;
r[5 * i + 4] = t[1] >> 12;
}
}
/*************************************************
* Name: polyz_unpack
*
* Description: Unpack polynomial z with coefficients
* in [-(GAMMA1 - 1), GAMMA1 - 1].
* Output coefficients are standard representatives.
*
* Arguments: - poly *r: pointer to output polynomial
* - const unsigned char *a: byte array with bit-packed polynomial
**************************************************/
void polyz_unpack(poly *r, const unsigned char *a) {
unsigned int i;
for (i = 0; i < N / 2; ++i) {
r->coeffs[2 * i + 0] = a[5 * i + 0];
r->coeffs[2 * i + 0] |= (uint32_t)a[5 * i + 1] << 8;
r->coeffs[2 * i + 0] |= (uint32_t)(a[5 * i + 2] & 0x0F) << 16;
r->coeffs[2 * i + 1] = a[5 * i + 2] >> 4;
r->coeffs[2 * i + 1] |= (uint32_t)a[5 * i + 3] << 4;
r->coeffs[2 * i + 1] |= (uint32_t)a[5 * i + 4] << 12;
r->coeffs[2 * i + 0] = GAMMA1 - 1 - r->coeffs[2 * i + 0];
r->coeffs[2 * i + 0] += ((int32_t)r->coeffs[2 * i + 0] >> 31) & Q;
r->coeffs[2 * i + 1] = GAMMA1 - 1 - r->coeffs[2 * i + 1];
r->coeffs[2 * i + 1] += ((int32_t)r->coeffs[2 * i + 1] >> 31) & Q;
}
}
/*************************************************
* Name: polyw1_pack
*
* Description: Bit-pack polynomial w1 with coefficients in [0, 15].
* Input coefficients are assumed to be standard representatives.
*
* Arguments: - unsigned char *r: pointer to output byte array with at least
* POLW1_SIZE_PACKED bytes
* - const poly *a: pointer to input polynomial
**************************************************/
void polyw1_pack(unsigned char *r, const poly *a) {
unsigned int i;
for (i = 0; i < N / 2; ++i)
r[i] = a->coeffs[2 * i + 0] | (a->coeffs[2 * i + 1] << 4);
}

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#ifndef POLY_H
#define POLY_H
#include "fips202.h"
#include "params.h"
#include <stdint.h>
typedef struct {
uint32_t coeffs[N];
} poly __attribute__((aligned(32)));
void poly_reduce(poly *a);
void poly_csubq(poly *a);
void poly_freeze(poly *a);
void poly_add(poly *c, const poly *a, const poly *b);
void poly_sub(poly *c, const poly *a, const poly *b);
void poly_neg(poly *a);
void poly_shiftl(poly *a, unsigned int k);
void poly_ntt(poly *a);
void poly_invntt_montgomery(poly *a);
void poly_pointwise_invmontgomery(poly *c, const poly *a, const poly *b);
void poly_power2round(poly *a1, poly *a0, const poly *a);
void poly_decompose(poly *a1, poly *a0, const poly *a);
unsigned int poly_make_hint(poly *h, const poly *a, const poly *b);
void poly_use_hint(poly *a, const poly *b, const poly *h);
int poly_chknorm(const poly *a, uint32_t B);
void poly_uniform(poly *a, const unsigned char *buf);
void poly_uniform_eta(poly *a, const unsigned char seed[SEEDBYTES],
unsigned char nonce);
void poly_uniform_gamma1m1(poly *a,
const unsigned char seed[SEEDBYTES + CRHBYTES],
uint16_t nonce);
void polyeta_pack(unsigned char *r, const poly *a);
void polyeta_unpack(poly *r, const unsigned char *a);
void polyt1_pack(unsigned char *r, const poly *a);
void polyt1_unpack(poly *r, const unsigned char *a);
void polyt0_pack(unsigned char *r, const poly *a);
void polyt0_unpack(poly *r, const unsigned char *a);
void polyz_pack(unsigned char *r, const poly *a);
void polyz_unpack(poly *r, const unsigned char *a);
void polyw1_pack(unsigned char *r, const poly *a);
#endif

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#include "polyvec.h"
#include "params.h"
#include "poly.h"
#include <stdint.h>
/**************************************************************/
/************ Vectors of polynomials of length L **************/
/**************************************************************/
/*************************************************
* Name: polyvecl_freeze
*
* Description: Reduce coefficients of polynomials in vector of length L
* to standard representatives.
*
* Arguments: - polyvecl *v: pointer to input/output vector
**************************************************/
void polyvecl_freeze(polyvecl *v) {
unsigned int i;
for (i = 0; i < L; ++i)
poly_freeze(v->vec + i);
}
/*************************************************
* Name: polyvecl_add
*
* Description: Add vectors of polynomials of length L.
* No modular reduction is performed.
*
* Arguments: - polyvecl *w: pointer to output vector
* - const polyvecl *u: pointer to first summand
* - const polyvecl *v: pointer to second summand
**************************************************/
void polyvecl_add(polyvecl *w, const polyvecl *u, const polyvecl *v) {
unsigned int i;
for (i = 0; i < L; ++i)
poly_add(w->vec + i, u->vec + i, v->vec + i);
}
/*************************************************
* Name: polyvecl_ntt
*
* Description: Forward NTT of all polynomials in vector of length L. Output
* coefficients can be up to 16*Q larger than input coefficients.
*
* Arguments: - polyvecl *v: pointer to input/output vector
**************************************************/
void polyvecl_ntt(polyvecl *v) {
unsigned int i;
for (i = 0; i < L; ++i)
poly_ntt(v->vec + i);
}
/*************************************************
* Name: polyvecl_pointwise_acc_invmontgomery
*
* Description: Pointwise multiply vectors of polynomials of length L, multiply
* resulting vector by 2^{-32} and add (accumulate) polynomials
* in it. Input/output vectors are in NTT domain representation.
* Input coefficients are assumed to be less than 22*Q. Output
* coeffcient are less than 2*L*Q.
*
* Arguments: - poly *w: output polynomial
* - const polyvecl *u: pointer to first input vector
* - const polyvecl *v: pointer to second input vector
**************************************************/
void polyvecl_pointwise_acc_invmontgomery(poly *w, const polyvecl *u,
const polyvecl *v) {
unsigned int i;
poly t;
poly_pointwise_invmontgomery(w, u->vec + 0, v->vec + 0);
for (i = 1; i < L; ++i) {
poly_pointwise_invmontgomery(&t, u->vec + i, v->vec + i);
poly_add(w, w, &t);
}
}
/*************************************************
* Name: polyvecl_chknorm
*
* Description: Check infinity norm of polynomials in vector of length L.
* Assumes input coefficients to be standard representatives.
*
* Arguments: - const polyvecl *v: pointer to vector
* - uint32_t B: norm bound
*
* Returns 0 if norm of all polynomials is strictly smaller than B and 1
* otherwise.
**************************************************/
int polyvecl_chknorm(const polyvecl *v, uint32_t bound) {
unsigned int i;
int ret = 0;
for (i = 0; i < L; ++i)
ret |= poly_chknorm(v->vec + i, bound);
return ret;
}
/**************************************************************/
/************ Vectors of polynomials of length K **************/
/**************************************************************/
/*************************************************
* Name: polyveck_reduce
*
* Description: Reduce coefficients of polynomials in vector of length K
* to representatives in [0,2*Q[.
*
* Arguments: - polyveck *v: pointer to input/output vector
**************************************************/
void polyveck_reduce(polyveck *v) {
unsigned int i;
for (i = 0; i < K; ++i)
poly_reduce(v->vec + i);
}
/*************************************************
* Name: polyveck_csubq
*
* Description: For all coefficients of polynomials in vector of length K
* subtract Q if coefficient is bigger than Q.
*
* Arguments: - polyveck *v: pointer to input/output vector
**************************************************/
void polyveck_csubq(polyveck *v) {
unsigned int i;
for (i = 0; i < K; ++i)
poly_csubq(v->vec + i);
}
/*************************************************
* Name: polyveck_freeze
*
* Description: Reduce coefficients of polynomials in vector of length K
* to standard representatives.
*
* Arguments: - polyveck *v: pointer to input/output vector
**************************************************/
void polyveck_freeze(polyveck *v) {
unsigned int i;
for (i = 0; i < K; ++i)
poly_freeze(v->vec + i);
}
/*************************************************
* Name: polyveck_add
*
* Description: Add vectors of polynomials of length K.
* No modular reduction is performed.
*
* Arguments: - polyveck *w: pointer to output vector
* - const polyveck *u: pointer to first summand
* - const polyveck *v: pointer to second summand
**************************************************/
void polyveck_add(polyveck *w, const polyveck *u, const polyveck *v) {
unsigned int i;
for (i = 0; i < K; ++i)
poly_add(w->vec + i, u->vec + i, v->vec + i);
}
/*************************************************
* Name: polyveck_sub
*
* Description: Subtract vectors of polynomials of length K.
* Assumes coefficients of polynomials in second input vector
* to be less than 2*Q. No modular reduction is performed.
*
* Arguments: - polyveck *w: pointer to output vector
* - const polyveck *u: pointer to first input vector
* - const polyveck *v: pointer to second input vector to be
* subtracted from first input vector
**************************************************/
void polyveck_sub(polyveck *w, const polyveck *u, const polyveck *v) {
unsigned int i;
for (i = 0; i < K; ++i)
poly_sub(w->vec + i, u->vec + i, v->vec + i);
}
/*************************************************
* Name: polyveck_shiftl
*
* Description: Multiply vector of polynomials of Length K by 2^k without
*modular reduction. Assumes input coefficients to be less than 2^{32-k}.
*
* Arguments: - polyveck *v: pointer to input/output vector
* - unsigned int k: exponent
**************************************************/
void polyveck_shiftl(polyveck *v, unsigned int k) {
unsigned int i;
for (i = 0; i < K; ++i)
poly_shiftl(v->vec + i, k);
}
/*************************************************
* Name: polyveck_ntt
*
* Description: Forward NTT of all polynomials in vector of length K. Output
* coefficients can be up to 16*Q larger than input coefficients.
*
* Arguments: - polyveck *v: pointer to input/output vector
**************************************************/
void polyveck_ntt(polyveck *v) {
unsigned int i;
for (i = 0; i < K; ++i)
poly_ntt(v->vec + i);
}
/*************************************************
* Name: polyveck_invntt_montgomery
*
* Description: Inverse NTT and multiplication by 2^{32} of polynomials
* in vector of length K. Input coefficients need to be less
* than 2*Q.
*
* Arguments: - polyveck *v: pointer to input/output vector
**************************************************/
void polyveck_invntt_montgomery(polyveck *v) {
unsigned int i;
for (i = 0; i < K; ++i)
poly_invntt_montgomery(v->vec + i);
}
/*************************************************
* Name: polyveck_chknorm
*
* Description: Check infinity norm of polynomials in vector of length K.
* Assumes input coefficients to be standard representatives.
*
* Arguments: - const polyveck *v: pointer to vector
* - uint32_t B: norm bound
*
* Returns 0 if norm of all polynomials are strictly smaller than B and 1
* otherwise.
**************************************************/
int polyveck_chknorm(const polyveck *v, uint32_t bound) {
unsigned int i;
int ret = 0;
for (i = 0; i < K; ++i)
ret |= poly_chknorm(v->vec + i, bound);
return ret;
}
/*************************************************
* Name: polyveck_power2round
*
* Description: For all coefficients a of polynomials in vector of length K,
* compute a0, a1 such that a mod Q = a1*2^D + a0
* with -2^{D-1} < a0 <= 2^{D-1}. Assumes coefficients to be
* standard representatives.
*
* Arguments: - polyveck *v1: pointer to output vector of polynomials with
* coefficients a1
* - polyveck *v0: pointer to output vector of polynomials with
* coefficients Q + a0
* - const polyveck *v: pointer to input vector
**************************************************/
void polyveck_power2round(polyveck *v1, polyveck *v0, const polyveck *v) {
unsigned int i;
for (i = 0; i < K; ++i)
poly_power2round(v1->vec + i, v0->vec + i, v->vec + i);
}
/*************************************************
* Name: polyveck_decompose
*
* Description: For all coefficients a of polynomials in vector of length K,
* compute high and low bits a0, a1 such a mod Q = a1*ALPHA + a0
* with -ALPHA/2 < a0 <= ALPHA/2 except a1 = (Q-1)/ALPHA where we
* set a1 = 0 and -ALPHA/2 <= a0 = a mod Q - Q < 0.
* Assumes coefficients to be standard representatives.
*
* Arguments: - polyveck *v1: pointer to output vector of polynomials with
* coefficients a1
* - polyveck *v0: pointer to output vector of polynomials with
* coefficients Q + a0
* - const polyveck *v: pointer to input vector
**************************************************/
void polyveck_decompose(polyveck *v1, polyveck *v0, const polyveck *v) {
unsigned int i;
for (i = 0; i < K; ++i)
poly_decompose(v1->vec + i, v0->vec + i, v->vec + i);
}
/*************************************************
* Name: polyveck_make_hint
*
* Description: Compute hint vector.
*
* Arguments: - polyveck *h: pointer to output vector
* - const polyveck *u: pointer to first input vector
* - const polyveck *u: pointer to second input vector
*
* Returns number of 1 bits.
**************************************************/
unsigned int polyveck_make_hint(polyveck *h, const polyveck *u,
const polyveck *v) {
unsigned int i, s = 0;
for (i = 0; i < K; ++i)
s += poly_make_hint(h->vec + i, u->vec + i, v->vec + i);
return s;
}
/*************************************************
* Name: polyveck_use_hint
*
* Description: Use hint vector to correct the high bits of input vector.
*
* Arguments: - polyveck *w: pointer to output vector of polynomials with
* corrected high bits
* - const polyveck *u: pointer to input vector
* - const polyveck *h: pointer to input hint vector
**************************************************/
void polyveck_use_hint(polyveck *w, const polyveck *u, const polyveck *h) {
unsigned int i;
for (i = 0; i < K; ++i)
poly_use_hint(w->vec + i, u->vec + i, h->vec + i);
}

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#ifndef POLYVEC_H
#define POLYVEC_H
#include "params.h"
#include "poly.h"
#include <stdint.h>
/* Vectors of polynomials of length L */
typedef struct {
poly vec[L];
} polyvecl;
void polyvecl_freeze(polyvecl *v);
void polyvecl_add(polyvecl *w, const polyvecl *u, const polyvecl *v);
void polyvecl_ntt(polyvecl *v);
void polyvecl_pointwise_acc_invmontgomery(poly *w, const polyvecl *u,
const polyvecl *v);
int polyvecl_chknorm(const polyvecl *v, uint32_t B);
/* Vectors of polynomials of length K */
typedef struct {
poly vec[K];
} polyveck;
void polyveck_reduce(polyveck *v);
void polyveck_csubq(polyveck *v);
void polyveck_freeze(polyveck *v);
void polyveck_add(polyveck *w, const polyveck *u, const polyveck *v);
void polyveck_sub(polyveck *w, const polyveck *u, const polyveck *v);
void polyveck_shiftl(polyveck *v, unsigned int k);
void polyveck_ntt(polyveck *v);
void polyveck_invntt_montgomery(polyveck *v);
int polyveck_chknorm(const polyveck *v, uint32_t B);
void polyveck_power2round(polyveck *v1, polyveck *v0, const polyveck *v);
void polyveck_decompose(polyveck *v1, polyveck *v0, const polyveck *v);
unsigned int polyveck_make_hint(polyveck *h, const polyveck *u,
const polyveck *v);
void polyveck_use_hint(polyveck *w, const polyveck *v, const polyveck *h);
#endif

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#include "reduce.h"
#include "params.h"
#include <stdint.h>
/*************************************************
* Name: montgomery_reduce
*
* Description: For finite field element a with 0 <= a <= Q*2^32,
* compute r \equiv a*2^{-32} (mod Q) such that 0 <= r < 2*Q.
*
* Arguments: - uint64_t: finite field element a
*
* Returns r.
**************************************************/
uint32_t montgomery_reduce(uint64_t a) {
uint64_t t;
t = a * QINV;
t &= (1ULL << 32) - 1;
t *= Q;
t = a + t;
t >>= 32;
return t;
}
/*************************************************
* Name: reduce32
*
* Description: For finite field element a, compute r \equiv a (mod Q)
* such that 0 <= r < 2*Q.
*
* Arguments: - uint32_t: finite field element a
*
* Returns r.
**************************************************/
uint32_t reduce32(uint32_t a) {
uint32_t t;
t = a & 0x7FFFFF;
a >>= 23;
t += (a << 13) - a;
return t;
}
/*************************************************
* Name: csubq
*
* Description: Subtract Q if input coefficient is bigger than Q.
*
* Arguments: - uint32_t: finite field element a
*
* Returns r.
**************************************************/
uint32_t csubq(uint32_t a) {
a -= Q;
a += ((int32_t)a >> 31) & Q;
return a;
}
/*************************************************
* Name: freeze
*
* Description: For finite field element a, compute standard
* representative r = a mod Q.
*
* Arguments: - uint32_t: finite field element a
*
* Returns r.
**************************************************/
uint32_t freeze(uint32_t a) {
a = reduce32(a);
a = csubq(a);
return a;
}

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#ifndef REDUCE_H
#define REDUCE_H
#include <stdint.h>
#define MONT 4193792U // 2^32 % Q
#define QINV 4236238847U // -q^(-1) mod 2^32
/* a <= Q*2^32 => r < 2*Q */
uint32_t montgomery_reduce(uint64_t a);
/* r < 2*Q */
uint32_t reduce32(uint32_t a);
/* a < 2*Q => r < Q */
uint32_t csubq(uint32_t a);
/* r < Q */
uint32_t freeze(uint32_t a);
#endif

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#include "params.h"
#include <stdint.h>
/*************************************************
* Name: power2round
*
* Description: For finite field element a, compute a0, a1 such that
* a mod Q = a1*2^D + a0 with -2^{D-1} < a0 <= 2^{D-1}.
* Assumes a to be standard representative.
*
* Arguments: - uint32_t a: input element
* - uint32_t *a0: pointer to output element Q + a0
*
* Returns a1.
**************************************************/
uint32_t power2round(uint32_t a, uint32_t *a0) {
int32_t t;
/* Centralized remainder mod 2^D */
t = a & ((1 << D) - 1);
t -= (1 << (D - 1)) + 1;
t += (t >> 31) & (1 << D);
t -= (1 << (D - 1)) - 1;
*a0 = Q + t;
a = (a - t) >> D;
return a;
}
/*************************************************
* Name: decompose
*
* Description: For finite field element a, compute high and low bits a0, a1
*such that a mod Q = a1*ALPHA + a0 with -ALPHA/2 < a0 <= ALPHA/2 except if a1 =
*(Q-1)/ALPHA where we set a1 = 0 and -ALPHA/2 <= a0 = a mod Q - Q < 0. Assumes
*a to be standard representative.
*
* Arguments: - uint32_t a: input element
* - uint32_t *a0: pointer to output element Q + a0
*
* Returns a1.
**************************************************/
uint32_t decompose(uint32_t a, uint32_t *a0) {
#if ALPHA != (Q - 1) / 16
#error "decompose assumes ALPHA == (Q-1)/16"
#endif
int32_t t, u;
/* Centralized remainder mod ALPHA */
t = a & 0x7FFFF;
t += (a >> 19) << 9;
t -= ALPHA / 2 + 1;
t += (t >> 31) & ALPHA;
t -= ALPHA / 2 - 1;
a -= t;
/* Divide by ALPHA (possible to avoid) */
u = a - 1;
u >>= 31;
a = (a >> 19) + 1;
a -= u & 1;
/* Border case */
*a0 = Q + t - (a >> 4);
a &= 0xF;
return a;
}
/*************************************************
* Name: make_hint
*
* Description: Compute hint bit indicating whether or not high bits of two
* finite field elements differ. Assumes input elements to be
* standard representatives.
*
* Arguments: - uint32_t a: first input element
* - uint32_t b: second input element
*
* Returns 1 if high bits of a and b differ and 0 otherwise.
**************************************************/
unsigned int make_hint(const uint32_t a, const uint32_t b) {
uint32_t t;
return decompose(a, &t) != decompose(b, &t);
}
/*************************************************
* Name: use_hint
*
* Description: Correct high bits according to hint.
*
* Arguments: - uint32_t a: input element
* - unsigned int hint: hint bit
*
* Returns corrected high bits.
**************************************************/
uint32_t use_hint(const uint32_t a, const unsigned int hint) {
uint32_t a0, a1;
a1 = decompose(a, &a0);
if (hint == 0)
return a1;
else if (a0 > Q)
return (a1 + 1) & 0xF;
else
return (a1 - 1) & 0xF;
/* If decompose does not divide out ALPHA:
if(hint == 0)
return a1;
else if(a0 > Q)
return (a1 + ALPHA) % (Q - 1);
else
return (a1 - ALPHA) % (Q - 1);
*/
}

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#ifndef ROUNDING_H
#define ROUNDING_H
#include <stdint.h>
uint32_t power2round(const uint32_t a, uint32_t *a0);
uint32_t decompose(uint32_t a, uint32_t *a0);
unsigned int make_hint(const uint32_t a, const uint32_t b);
uint32_t use_hint(const uint32_t a, const unsigned int hint);
#endif

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#include "sign.h"
#include "fips202.h"
#include "packing.h"
#include "params.h"
#include "poly.h"
#include "polyvec.h"
#include "randombytes.h"
#include <stdint.h>
/*************************************************
* Name: expand_mat
*
* Description: Implementation of ExpandA. Generates matrix A with uniformly
* random coefficients a_{i,j} by performing rejection
* sampling on the output stream of SHAKE128(rho|i|j).
*
* Arguments: - polyvecl mat[K]: output matrix
* - const unsigned char rho[]: byte array containing seed rho
**************************************************/
void expand_mat(polyvecl mat[K], const unsigned char rho[SEEDBYTES]) {
unsigned int i, j;
unsigned char inbuf[SEEDBYTES + 1];
/* Don't change this to smaller values,
* sampling later assumes sufficient SHAKE output!
* Probability that we need more than 5 blocks: < 2^{-132}.
* Probability that we need more than 6 blocks: < 2^{-546}. */
unsigned char outbuf[5 * SHAKE128_RATE];
for (i = 0; i < SEEDBYTES; ++i)
inbuf[i] = rho[i];
for (i = 0; i < K; ++i) {
for (j = 0; j < L; ++j) {
inbuf[SEEDBYTES] = i + (j << 4);
shake128(outbuf, sizeof(outbuf), inbuf, SEEDBYTES + 1);
poly_uniform(mat[i].vec + j, outbuf);
}
}
}
/*************************************************
* Name: challenge
*
* Description: Implementation of H. Samples polynomial with 60 nonzero
* coefficients in {-1,1} using the output stream of
* SHAKE256(mu|w1).
*
* Arguments: - poly *c: pointer to output polynomial
* - const unsigned char mu[]: byte array containing mu
* - const polyveck *w1: pointer to vector w1
**************************************************/
void challenge(poly *c, const unsigned char mu[CRHBYTES], const polyveck *w1) {
unsigned int i, b, pos;
unsigned char inbuf[CRHBYTES + K * POLW1_SIZE_PACKED];
unsigned char outbuf[SHAKE256_RATE];
uint64_t state[25], signs, mask;
for (i = 0; i < CRHBYTES; ++i)
inbuf[i] = mu[i];
for (i = 0; i < K; ++i)
polyw1_pack(inbuf + CRHBYTES + i * POLW1_SIZE_PACKED, w1->vec + i);
shake256_absorb(state, inbuf, sizeof(inbuf));
shake256_squeezeblocks(outbuf, 1, state);
signs = 0;
for (i = 0; i < 8; ++i)
signs |= (uint64_t)outbuf[i] << 8 * i;
pos = 8;
mask = 1;
for (i = 0; i < N; ++i)
c->coeffs[i] = 0;
for (i = 196; i < 256; ++i) {
do {
if (pos >= SHAKE256_RATE) {
shake256_squeezeblocks(outbuf, 1, state);
pos = 0;
}
b = outbuf[pos++];
} while (b > i);
c->coeffs[i] = c->coeffs[b];
c->coeffs[b] = (signs & mask) ? Q - 1 : 1;
mask <<= 1;
}
}
/*************************************************
* Name: crypto_sign_keypair
*
* Description: Generates public and private key.
*
* Arguments: - unsigned char *pk: pointer to output public key (allocated
* array of CRYPTO_PUBLICKEYBYTES bytes)
* - unsigned char *sk: pointer to output private key (allocated
* array of CRYPTO_SECRETKEYBYTES bytes)
*
* Returns 0 (success)
**************************************************/
int crypto_sign_keypair(unsigned char *pk, unsigned char *sk) {
unsigned int i;
unsigned char seedbuf[3 * SEEDBYTES];
unsigned char tr[CRHBYTES];
unsigned char *rho, *rhoprime, *key;
uint16_t nonce = 0;
polyvecl mat[K];
polyvecl s1, s1hat;
polyveck s2, t, t1, t0;
/* Expand 32 bytes of randomness into rho, rhoprime and key */
randombytes(seedbuf, SEEDBYTES);
shake256(seedbuf, 3 * SEEDBYTES, seedbuf, SEEDBYTES);
rho = seedbuf;
rhoprime = rho + SEEDBYTES;
key = rho + 2 * SEEDBYTES;
/* Expand matrix */
expand_mat(mat, rho);
/* Sample short vectors s1 and s2 */
for (i = 0; i < L; ++i)
poly_uniform_eta(s1.vec + i, rhoprime, nonce++);
for (i = 0; i < K; ++i)
poly_uniform_eta(s2.vec + i, rhoprime, nonce++);
/* Matrix-vector multiplication */
s1hat = s1;
polyvecl_ntt(&s1hat);
for (i = 0; i < K; ++i) {
polyvecl_pointwise_acc_invmontgomery(t.vec + i, mat + i, &s1hat);
poly_reduce(t.vec + i);
poly_invntt_montgomery(t.vec + i);
}
/* Add noise vector s2 */
polyveck_add(&t, &t, &s2);
/* Extract t1 and write public key */
polyveck_freeze(&t);
polyveck_power2round(&t1, &t0, &t);
pack_pk(pk, rho, &t1);
/* Compute CRH(rho, t1) and write secret key */
shake256(tr, CRHBYTES, pk, CRYPTO_PUBLICKEYBYTES);
pack_sk(sk, rho, key, tr, &s1, &s2, &t0);
return 0;
}
/*************************************************
* Name: crypto_sign
*
* Description: Compute signed message.
*
* Arguments: - unsigned char *sm: pointer to output signed message (allocated
* array with CRYPTO_BYTES + mlen bytes),
* can be equal to m
* - unsigned long long *smlen: pointer to output length of signed
* message
* - const unsigned char *m: pointer to message to be signed
* - unsigned long long mlen: length of message
* - const unsigned char *sk: pointer to bit-packed secret key
*
* Returns 0 (success)
**************************************************/
int crypto_sign(unsigned char *sm, unsigned long long *smlen,
const unsigned char *m, unsigned long long mlen,
const unsigned char *sk) {
unsigned long long i, j;
unsigned int n;
unsigned char
seedbuf[2 * SEEDBYTES + CRHBYTES]; // TODO: nonce in seedbuf (2x)
unsigned char tr[CRHBYTES];
unsigned char *rho, *key, *mu;
uint16_t nonce = 0;
poly c, chat;
polyvecl mat[K], s1, y, yhat, z;
polyveck s2, t0, w, w1;
polyveck h, wcs2, wcs20, ct0, tmp;
rho = seedbuf;
key = seedbuf + SEEDBYTES;
mu = seedbuf + 2 * SEEDBYTES;
unpack_sk(rho, key, tr, &s1, &s2, &t0, sk);
/* Copy tr and message into the sm buffer,
* backwards since m and sm can be equal in SUPERCOP API */
for (i = 1; i <= mlen; ++i)
sm[CRYPTO_BYTES + mlen - i] = m[mlen - i];
for (i = 0; i < CRHBYTES; ++i)
sm[CRYPTO_BYTES - CRHBYTES + i] = tr[i];
/* Compute CRH(tr, msg) */
shake256(mu, CRHBYTES, sm + CRYPTO_BYTES - CRHBYTES, CRHBYTES + mlen);
/* Expand matrix and transform vectors */
expand_mat(mat, rho);
polyvecl_ntt(&s1);
polyveck_ntt(&s2);
polyveck_ntt(&t0);
rej:
/* Sample intermediate vector y */
for (i = 0; i < L; ++i)
poly_uniform_gamma1m1(y.vec + i, key, nonce++);
/* Matrix-vector multiplication */
yhat = y;
polyvecl_ntt(&yhat);
for (i = 0; i < K; ++i) {
polyvecl_pointwise_acc_invmontgomery(w.vec + i, mat + i, &yhat);
poly_reduce(w.vec + i);
poly_invntt_montgomery(w.vec + i);
}
/* Decompose w and call the random oracle */
polyveck_csubq(&w);
polyveck_decompose(&w1, &tmp, &w);
challenge(&c, mu, &w1);
/* Compute z, reject if it reveals secret */
chat = c;
poly_ntt(&chat);
for (i = 0; i < L; ++i) {
poly_pointwise_invmontgomery(z.vec + i, &chat, s1.vec + i);
poly_invntt_montgomery(z.vec + i);
}
polyvecl_add(&z, &z, &y);
polyvecl_freeze(&z);
if (polyvecl_chknorm(&z, GAMMA1 - BETA))
goto rej;
/* Compute w - cs2, reject if w1 can not be computed from it */
for (i = 0; i < K; ++i) {
poly_pointwise_invmontgomery(wcs2.vec + i, &chat, s2.vec + i);
poly_invntt_montgomery(wcs2.vec + i);
}
polyveck_sub(&wcs2, &w, &wcs2);
polyveck_freeze(&wcs2);
polyveck_decompose(&tmp, &wcs20, &wcs2);
polyveck_csubq(&wcs20);
if (polyveck_chknorm(&wcs20, GAMMA2 - BETA))
goto rej;
for (i = 0; i < K; ++i)
for (j = 0; j < N; ++j)
if (tmp.vec[i].coeffs[j] != w1.vec[i].coeffs[j])
goto rej;
/* Compute hints for w1 */
for (i = 0; i < K; ++i) {
poly_pointwise_invmontgomery(ct0.vec + i, &chat, t0.vec + i);
poly_invntt_montgomery(ct0.vec + i);
}
polyveck_csubq(&ct0);
if (polyveck_chknorm(&ct0, GAMMA2))
goto rej;
polyveck_add(&tmp, &wcs2, &ct0);
polyveck_csubq(&tmp);
n = polyveck_make_hint(&h, &wcs2, &tmp);
if (n > OMEGA)
goto rej;
/* Write signature */
pack_sig(sm, &z, &h, &c);
*smlen = mlen + CRYPTO_BYTES;
return 0;
}
/*************************************************
* Name: crypto_sign_open
*
* Description: Verify signed message.
*
* Arguments: - unsigned char *m: pointer to output message (allocated
* array with smlen bytes), can be equal to sm
* - unsigned long long *mlen: pointer to output length of message
* - const unsigned char *sm: pointer to signed message
* - unsigned long long smlen: length of signed message
* - const unsigned char *sk: pointer to bit-packed public key
*
* Returns 0 if signed message could be verified correctly and -1 otherwise
**************************************************/
int crypto_sign_open(unsigned char *m, unsigned long long *mlen,
const unsigned char *sm, unsigned long long smlen,
const unsigned char *pk) {
unsigned long long i;
unsigned char rho[SEEDBYTES];
unsigned char mu[CRHBYTES];
poly c, chat, cp;
polyvecl mat[K], z;
polyveck t1, w1, h, tmp1, tmp2;
if (smlen < CRYPTO_BYTES)
goto badsig;
*mlen = smlen - CRYPTO_BYTES;
unpack_pk(rho, &t1, pk);
if (unpack_sig(&z, &h, &c, sm))
goto badsig;
if (polyvecl_chknorm(&z, GAMMA1 - BETA))
goto badsig;
/* Compute CRH(CRH(rho, t1), msg) using m as "playground" buffer */
if (sm != m)
for (i = 0; i < *mlen; ++i)
m[CRYPTO_BYTES + i] = sm[CRYPTO_BYTES + i];
shake256(m + CRYPTO_BYTES - CRHBYTES, CRHBYTES, pk, CRYPTO_PUBLICKEYBYTES);
shake256(mu, CRHBYTES, m + CRYPTO_BYTES - CRHBYTES, CRHBYTES + *mlen);
/* Matrix-vector multiplication; compute Az - c2^dt1 */
expand_mat(mat, rho);
polyvecl_ntt(&z);
for (i = 0; i < K; ++i)
polyvecl_pointwise_acc_invmontgomery(tmp1.vec + i, mat + i, &z);
chat = c;
poly_ntt(&chat);
polyveck_shiftl(&t1, D);
polyveck_ntt(&t1);
for (i = 0; i < K; ++i)
poly_pointwise_invmontgomery(tmp2.vec + i, &chat, t1.vec + i);
polyveck_sub(&tmp1, &tmp1, &tmp2);
polyveck_reduce(&tmp1);
polyveck_invntt_montgomery(&tmp1);
/* Reconstruct w1 */
polyveck_csubq(&tmp1);
polyveck_use_hint(&w1, &tmp1, &h);
/* Call random oracle and verify challenge */
challenge(&cp, mu, &w1);
for (i = 0; i < N; ++i)
if (c.coeffs[i] != cp.coeffs[i])
goto badsig;
/* All good, copy msg, return 0 */
for (i = 0; i < *mlen; ++i)
m[i] = sm[CRYPTO_BYTES + i];
return 0;
/* Signature verification failed */
badsig:
*mlen = (unsigned long long)-1;
for (i = 0; i < smlen; ++i)
m[i] = 0;
return -1;
}

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#ifndef SIGN_H
#define SIGN_H
#include "params.h"
#include "poly.h"
#include "polyvec.h"
void expand_mat(polyvecl mat[K], const unsigned char rho[SEEDBYTES]);
void challenge(poly *c, const unsigned char mu[CRHBYTES], const polyveck *w1);
int crypto_sign_keypair(unsigned char *pk, unsigned char *sk);
int crypto_sign(unsigned char *sm, unsigned long long *smlen,
const unsigned char *msg, unsigned long long len,
const unsigned char *sk);
int crypto_sign_open(unsigned char *m, unsigned long long *mlen,
const unsigned char *sm, unsigned long long smlen,
const unsigned char *pk);
#endif

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#include "api.h"
#include "randombytes.h"
#include <stdio.h>
#include <string.h>
#define NTESTS 15
#define MLEN 32
/* allocate a bit more for all keys and messages and
* make sure it is not touched by the implementations.
*/
static void write_canary(unsigned char *d) {
*((uint64_t *)d) = 0x0123456789ABCDEF;
}
static int check_canary(unsigned char *d) {
if (*(uint64_t *)d != 0x0123456789ABCDEF)
return -1;
else
return 0;
}
static int test_sign(void) {
unsigned char pk[CRYPTO_PUBLICKEYBYTES + 16];
unsigned char sk[CRYPTO_SECRETKEYBYTES + 16];
unsigned char sm[MLEN + CRYPTO_BYTES + 16];
unsigned char m[MLEN + 16];
unsigned long long mlen;
unsigned long long smlen;
int i;
write_canary(pk);
write_canary(pk + sizeof(pk) - 8);
write_canary(sk);
write_canary(sk + sizeof(sk) - 8);
write_canary(sm);
write_canary(sm + sizeof(sm) - 8);
write_canary(m);
write_canary(m + sizeof(m) - 8);
for (i = 0; i < NTESTS; i++) {
crypto_sign_keypair(pk + 8, sk + 8);
randombytes(m + 8, MLEN);
crypto_sign(sm + 8, &smlen, m + 8, MLEN, sk + 8);
// By relying on m == sm we prevent having to allocate CRYPTO_BYTES twice
if (crypto_sign_open(sm + 8, &mlen, sm + 8, smlen, pk + 8)) {
printf("ERROR Signature did not verify correctly!\n");
} else if (check_canary(pk) || check_canary(pk + sizeof(pk) - 8) ||
check_canary(sk) || check_canary(sk + sizeof(sk) - 8) ||
check_canary(sm) || check_canary(sm + sizeof(sm) - 8) ||
check_canary(m) || check_canary(m + sizeof(m) - 8)) {
printf("ERROR canary overwritten\n");
}
}
return 0;
}
static int test_wrong_pk(void) {
unsigned char pk[CRYPTO_PUBLICKEYBYTES];
unsigned char pk2[CRYPTO_PUBLICKEYBYTES];
unsigned char sk[CRYPTO_SECRETKEYBYTES];
unsigned char sm[MLEN + CRYPTO_BYTES];
unsigned char m[MLEN];
unsigned long long mlen;
unsigned long long smlen;
int i;
for (i = 0; i < NTESTS; i++) {
crypto_sign_keypair(pk2, sk);
crypto_sign_keypair(pk, sk);
randombytes(m, MLEN);
crypto_sign(sm, &smlen, m, MLEN, sk);
// By relying on m == sm we prevent having to allocate CRYPTO_BYTES twice
if (!crypto_sign_open(sm, &mlen, sm, smlen, pk2)) {
printf("ERROR Signature did verify correctly under wrong public key!\n");
}
}
return 0;
}
int main(void) {
test_sign();
test_wrong_pk();
return 0;
}