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      1 /* Copyright (c) 2018, Google Inc.
      2  *
      3  * Permission to use, copy, modify, and/or distribute this software for any
      4  * purpose with or without fee is hereby granted, provided that the above
      5  * copyright notice and this permission notice appear in all copies.
      6  *
      7  * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
      8  * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
      9  * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
     10  * SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
     11  * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
     12  * OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
     13  * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */
     14 
     15 #include <gtest/gtest.h>
     16 
     17 #include <openssl/cpu.h>
     18 #include <openssl/hrss.h>
     19 #include <openssl/rand.h>
     20 
     21 #include "../test/abi_test.h"
     22 #include "../test/test_util.h"
     23 #include "internal.h"
     24 
     25 // poly2_from_bits takes the least-significant bit from each byte of |in| and
     26 // sets the bits of |*out| to match.
     27 static void poly2_from_bits(struct poly2 *out, const uint8_t in[N]) {
     28   crypto_word_t *words = out->v;
     29   unsigned shift = 0;
     30   crypto_word_t word = 0;
     31 
     32   for (unsigned i = 0; i < N; i++) {
     33     word >>= 1;
     34     word |= (crypto_word_t)(in[i] & 1) << (BITS_PER_WORD - 1);
     35     shift++;
     36 
     37     if (shift == BITS_PER_WORD) {
     38       *words = word;
     39       words++;
     40       word = 0;
     41       shift = 0;
     42     }
     43   }
     44 
     45   word >>= BITS_PER_WORD - shift;
     46   *words = word;
     47 }
     48 
     49 TEST(HRSS, Poly2RotateRight) {
     50   uint8_t bits[N];
     51   RAND_bytes(bits, sizeof(bits));
     52   for (size_t i = 0; i < N; i++) {
     53     bits[i] &= 1;
     54   };
     55 
     56   struct poly2 p, orig, shifted;
     57   poly2_from_bits(&p, bits);
     58   OPENSSL_memcpy(&orig, &p, sizeof(orig));
     59 
     60   // Test |HRSS_poly2_rotr_consttime| by manually rotating |bits| step-by-step
     61   // and testing every possible shift to ensure that it produces the correct
     62   // answer.
     63   for (size_t shift = 0; shift <= N; shift++) {
     64     SCOPED_TRACE(shift);
     65 
     66     OPENSSL_memcpy(&p, &orig, sizeof(orig));
     67     HRSS_poly2_rotr_consttime(&p, shift);
     68     poly2_from_bits(&shifted, bits);
     69     ASSERT_EQ(
     70         Bytes(reinterpret_cast<const uint8_t *>(&shifted), sizeof(shifted)),
     71         Bytes(reinterpret_cast<const uint8_t *>(&p), sizeof(p)));
     72 
     73     const uint8_t least_significant_bit = bits[0];
     74     OPENSSL_memmove(bits, &bits[1], N-1);
     75     bits[N-1] = least_significant_bit;
     76   }
     77 }
     78 
     79 // poly3_rand sets |r| to a random value (albeit with bias).
     80 static void poly3_rand(poly3 *p) {
     81   RAND_bytes(reinterpret_cast<uint8_t *>(p), sizeof(poly3));
     82   p->s.v[WORDS_PER_POLY - 1] &= (UINT64_C(1) << BITS_IN_LAST_WORD) - 1;
     83   p->a.v[WORDS_PER_POLY - 1] &= (UINT64_C(1) << BITS_IN_LAST_WORD) - 1;
     84   // (s, a) = (1, 0) is invalid. Map those to -1.
     85   for (size_t j = 0; j < WORDS_PER_POLY; j++) {
     86     p->a.v[j] |= p->s.v[j];
     87   }
     88 }
     89 
     90 // poly3_word_add sets (|s1|, |a1|) += (|s2|, |a2|).
     91 static void poly3_word_add(crypto_word_t *s1, crypto_word_t *a1,
     92                            const crypto_word_t s2, const crypto_word_t a2) {
     93   const crypto_word_t t = *s1 ^ a2;
     94   *s1 = t & (s2 ^ *a1);
     95   *a1 = (*a1 ^ a2) | (t ^ s2);
     96 }
     97 
     98 TEST(HRSS, Poly3Invert) {
     99   poly3 p, inverse, result;
    100   memset(&p, 0, sizeof(p));
    101   memset(&inverse, 0, sizeof(inverse));
    102   memset(&result, 0, sizeof(result));
    103 
    104   // The inverse of -1 is -1.
    105   p.s.v[0] = 1;
    106   p.a.v[0] = 1;
    107   HRSS_poly3_invert(&inverse, &p);
    108   EXPECT_EQ(Bytes(reinterpret_cast<const uint8_t*>(&p), sizeof(p)),
    109             Bytes(reinterpret_cast<const uint8_t*>(&inverse), sizeof(inverse)));
    110 
    111   // The inverse of 1 is 1.
    112   p.s.v[0] = 0;
    113   p.a.v[0] = 1;
    114   HRSS_poly3_invert(&inverse, &p);
    115   EXPECT_EQ(Bytes(reinterpret_cast<const uint8_t*>(&p), sizeof(p)),
    116             Bytes(reinterpret_cast<const uint8_t*>(&inverse), sizeof(inverse)));
    117 
    118   for (size_t i = 0; i < 500; i++) {
    119     poly3 r;
    120     poly3_rand(&r);
    121     HRSS_poly3_invert(&inverse, &r);
    122     HRSS_poly3_mul(&result, &inverse, &r);
    123     // rr = 1, and |p| contains 1.
    124     EXPECT_EQ(
    125         Bytes(reinterpret_cast<const uint8_t *>(&p), sizeof(p)),
    126         Bytes(reinterpret_cast<const uint8_t *>(&result), sizeof(result)));
    127   }
    128 }
    129 
    130 TEST(HRSS, Poly3UnreducedInput) {
    131   // Check that |poly3_mul| works correctly with inputs that aren't reduced mod
    132   // (N).
    133   poly3 r, inverse, result, one;
    134   poly3_rand(&r);
    135   HRSS_poly3_invert(&inverse, &r);
    136   HRSS_poly3_mul(&result, &inverse, &r);
    137 
    138   memset(&one, 0, sizeof(one));
    139   one.a.v[0] = 1;
    140   EXPECT_EQ(Bytes(reinterpret_cast<const uint8_t *>(&one), sizeof(one)),
    141             Bytes(reinterpret_cast<const uint8_t *>(&result), sizeof(result)));
    142 
    143   // |r| is probably already not reduced mod (N), but add x^701 - 1 and
    144   // recompute to ensure that we get the same answer. (Since (x^701 - 1)  0 mod
    145   // (N).)
    146   poly3_word_add(&r.s.v[0], &r.a.v[0], 1, 1);
    147   poly3_word_add(&r.s.v[WORDS_PER_POLY - 1], &r.a.v[WORDS_PER_POLY - 1], 0,
    148                  UINT64_C(1) << BITS_IN_LAST_WORD);
    149 
    150   HRSS_poly3_mul(&result, &inverse, &r);
    151   EXPECT_EQ(Bytes(reinterpret_cast<const uint8_t *>(&one), sizeof(one)),
    152             Bytes(reinterpret_cast<const uint8_t *>(&result), sizeof(result)));
    153 
    154   // Check that x^700  1 gives -x^699 - x^698  -1.
    155   poly3 x700;
    156   memset(&x700, 0, sizeof(x700));
    157   x700.a.v[WORDS_PER_POLY-1] = UINT64_C(1) << (BITS_IN_LAST_WORD - 1);
    158   HRSS_poly3_mul(&result, &one, &x700);
    159 
    160   for (size_t i = 0; i < WORDS_PER_POLY-1; i++) {
    161     EXPECT_EQ(CONSTTIME_TRUE_W, result.s.v[i]);
    162     EXPECT_EQ(CONSTTIME_TRUE_W, result.a.v[i]);
    163   }
    164   EXPECT_EQ((UINT64_C(1) << (BITS_IN_LAST_WORD - 1)) - 1,
    165             result.s.v[WORDS_PER_POLY - 1]);
    166   EXPECT_EQ(result.s.v[WORDS_PER_POLY - 1], result.a.v[WORDS_PER_POLY - 1]);
    167 }
    168 
    169 TEST(HRSS, Basic) {
    170   uint8_t generate_key_entropy[HRSS_GENERATE_KEY_BYTES];
    171   for (unsigned i = 0; i < sizeof(generate_key_entropy); i++) {
    172     generate_key_entropy[i] = i;
    173   }
    174 
    175   HRSS_public_key pub;
    176   HRSS_private_key priv;
    177   HRSS_generate_key(&pub, &priv, generate_key_entropy);
    178 
    179   uint8_t encap_entropy[HRSS_ENCAP_BYTES];
    180   for (unsigned i = 0; i < sizeof(encap_entropy); i++) {
    181     encap_entropy[i] = i;
    182   }
    183 
    184   HRSS_public_key pub2;
    185   uint8_t pub_bytes[HRSS_PUBLIC_KEY_BYTES];
    186   HRSS_marshal_public_key(pub_bytes, &pub);
    187   ASSERT_TRUE(HRSS_parse_public_key(&pub2, pub_bytes));
    188 
    189   uint8_t ciphertext[HRSS_CIPHERTEXT_BYTES];
    190   uint8_t shared_key[HRSS_KEY_BYTES];
    191   HRSS_encap(ciphertext, shared_key, &pub2, encap_entropy);
    192 
    193   uint8_t shared_key2[HRSS_KEY_BYTES];
    194   HRSS_decap(shared_key2, &priv, ciphertext, sizeof(ciphertext));
    195 
    196   EXPECT_EQ(Bytes(shared_key), Bytes(shared_key2));
    197 }
    198 
    199 TEST(HRSS, Random) {
    200   for (unsigned i = 0; i < 10; i++) {
    201     uint8_t generate_key_entropy[HRSS_GENERATE_KEY_BYTES];
    202     RAND_bytes(generate_key_entropy, sizeof(generate_key_entropy));
    203     SCOPED_TRACE(Bytes(generate_key_entropy));
    204 
    205     HRSS_public_key pub;
    206     HRSS_private_key priv;
    207     HRSS_generate_key(&pub, &priv, generate_key_entropy);
    208 
    209     for (unsigned j = 0; j < 10; j++) {
    210       uint8_t encap_entropy[HRSS_ENCAP_BYTES];
    211       RAND_bytes(encap_entropy, sizeof(encap_entropy));
    212       SCOPED_TRACE(Bytes(encap_entropy));
    213 
    214       uint8_t ciphertext[HRSS_CIPHERTEXT_BYTES];
    215       uint8_t shared_key[HRSS_KEY_BYTES];
    216       HRSS_encap(ciphertext, shared_key, &pub, encap_entropy);
    217 
    218       uint8_t shared_key2[HRSS_KEY_BYTES];
    219       HRSS_decap(shared_key2, &priv, ciphertext, sizeof(ciphertext));
    220       EXPECT_EQ(Bytes(shared_key), Bytes(shared_key2));
    221 
    222       uint32_t offset;
    223       RAND_bytes((uint8_t*) &offset, sizeof(offset));
    224       uint8_t bit;
    225       RAND_bytes(&bit, sizeof(bit));
    226       ciphertext[offset % sizeof(ciphertext)] ^= (1 << (bit & 7));
    227       HRSS_decap(shared_key2, &priv, ciphertext, sizeof(ciphertext));
    228       EXPECT_NE(Bytes(shared_key), Bytes(shared_key2));
    229     }
    230   }
    231 }
    232 
    233 TEST(HRSS, Golden) {
    234   uint8_t generate_key_entropy[HRSS_GENERATE_KEY_BYTES];
    235   for (unsigned i = 0; i < HRSS_SAMPLE_BYTES; i++) {
    236     generate_key_entropy[i] = i;
    237   }
    238   for (unsigned i = HRSS_SAMPLE_BYTES; i < 2 * HRSS_SAMPLE_BYTES; i++) {
    239     generate_key_entropy[i] = 2 + i;
    240   }
    241   for (unsigned i = 2 * HRSS_SAMPLE_BYTES; i < sizeof(generate_key_entropy);
    242        i++) {
    243     generate_key_entropy[i] = 4 + i;
    244   }
    245 
    246   HRSS_public_key pub;
    247   HRSS_private_key priv;
    248   OPENSSL_memset(&pub, 0, sizeof(pub));
    249   OPENSSL_memset(&priv, 0, sizeof(priv));
    250   HRSS_generate_key(&pub, &priv, generate_key_entropy);
    251 
    252   static const uint8_t kExpectedPub[HRSS_PUBLIC_KEY_BYTES] = {
    253       0x4a, 0x21, 0x39, 0x7c, 0xb4, 0xa6, 0x58, 0x15, 0x35, 0x77, 0xe4, 0x2a,
    254       0x02, 0x79, 0xc0, 0x02, 0xe2, 0x21, 0x27, 0x5f, 0x49, 0xc7, 0x2c, 0x14,
    255       0xb6, 0xe0, 0x67, 0xc2, 0xc7, 0x09, 0x62, 0x0c, 0xe5, 0x23, 0x9c, 0x40,
    256       0xd7, 0x7e, 0xf5, 0x55, 0x5a, 0xa2, 0xd0, 0x9f, 0xd3, 0x8c, 0x67, 0x7b,
    257       0x48, 0xa4, 0x53, 0x8d, 0x39, 0xb1, 0xcc, 0x99, 0x29, 0xf7, 0x83, 0xbf,
    258       0x6f, 0x9b, 0x16, 0x73, 0x23, 0xcc, 0xc3, 0x86, 0x98, 0xb1, 0x7c, 0x53,
    259       0xb1, 0xf5, 0xf4, 0xdd, 0xc8, 0x97, 0x5e, 0xd3, 0x6d, 0x63, 0xce, 0xf3,
    260       0xa2, 0xf6, 0xef, 0x94, 0xed, 0x4a, 0x3e, 0xe6, 0x4b, 0xa2, 0xfb, 0x87,
    261       0xa3, 0xbc, 0x65, 0x1c, 0x17, 0x64, 0x25, 0xa7, 0xb4, 0xa1, 0xe6, 0x84,
    262       0x06, 0x72, 0x0c, 0x28, 0xe8, 0xfc, 0xaa, 0xca, 0xf8, 0x20, 0x79, 0x89,
    263       0xa9, 0xf0, 0x60, 0xdf, 0xd6, 0xd4, 0xe0, 0xaf, 0x99, 0x54, 0x21, 0xaf,
    264       0x76, 0xd5, 0x9a, 0x31, 0x80, 0xea, 0x7f, 0x03, 0x6c, 0x14, 0x74, 0x06,
    265       0x9c, 0x93, 0xe3, 0x93, 0xcc, 0x46, 0x4d, 0x82, 0xda, 0xdf, 0x67, 0xe9,
    266       0x6d, 0x58, 0x2b, 0x49, 0xf3, 0x10, 0x71, 0xa0, 0xc5, 0xec, 0xa0, 0x29,
    267       0xd7, 0x7c, 0x43, 0xd5, 0x05, 0x7e, 0x14, 0x8c, 0x39, 0x28, 0xf9, 0x46,
    268       0x3d, 0xc1, 0x10, 0x6c, 0x2f, 0xaa, 0xca, 0x11, 0x87, 0x6a, 0xe2, 0xb1,
    269       0xf6, 0x31, 0x76, 0xb0, 0xdc, 0x30, 0x8a, 0x97, 0x7d, 0xdc, 0xe4, 0xd1,
    270       0x18, 0xe9, 0x03, 0x91, 0xf5, 0xd2, 0x94, 0x4d, 0x71, 0xf7, 0x35, 0xc8,
    271       0x3e, 0x46, 0xaf, 0xa3, 0xeb, 0x35, 0x07, 0x01, 0x77, 0xc5, 0x58, 0xca,
    272       0x82, 0x67, 0x3e, 0x4f, 0x01, 0x88, 0xa4, 0xa0, 0xea, 0x0a, 0xb7, 0x13,
    273       0x06, 0xbe, 0xb6, 0x61, 0xa4, 0xa2, 0x28, 0xe2, 0x32, 0xcf, 0x25, 0x46,
    274       0xcf, 0xce, 0xf5, 0x57, 0x9b, 0x74, 0x8f, 0xfd, 0xbc, 0xfa, 0x3a, 0xa2,
    275       0x18, 0x22, 0xf1, 0xb1, 0x43, 0x12, 0xe8, 0xe2, 0xe3, 0x06, 0xe6, 0x1c,
    276       0xa7, 0x76, 0x2d, 0x0d, 0xe5, 0x5f, 0xbd, 0x8f, 0xa0, 0x95, 0xcd, 0xe9,
    277       0x28, 0xdb, 0xcc, 0xe5, 0x66, 0x33, 0xd4, 0x4b, 0xf9, 0x0c, 0x42, 0x9b,
    278       0x27, 0xee, 0x11, 0xd0, 0xe3, 0x0b, 0x9d, 0xce, 0x2c, 0x91, 0x7a, 0x0e,
    279       0xb8, 0xde, 0x31, 0x73, 0x86, 0x8e, 0x34, 0x59, 0x93, 0x2e, 0x37, 0x9d,
    280       0xc2, 0x3e, 0x89, 0x0b, 0x47, 0xff, 0xa6, 0x55, 0x21, 0xe6, 0x4f, 0x72,
    281       0x7c, 0xcc, 0xe5, 0xb8, 0x18, 0x2c, 0x10, 0xcb, 0xce, 0x48, 0xa5, 0xc5,
    282       0x26, 0xb6, 0x19, 0x76, 0xc5, 0x38, 0xf0, 0x38, 0x72, 0xec, 0x22, 0xf9,
    283       0x25, 0xde, 0x1c, 0x0c, 0x1b, 0x3e, 0x43, 0xc5, 0x5c, 0x8c, 0xdb, 0xf1,
    284       0x42, 0x66, 0xbc, 0xdf, 0xa0, 0x82, 0x4b, 0xec, 0xe1, 0x50, 0x42, 0x57,
    285       0x84, 0x60, 0xfd, 0x89, 0x12, 0x1b, 0xf6, 0xf9, 0x4d, 0x0d, 0x16, 0xe8,
    286       0xa4, 0xe2, 0x67, 0x2c, 0x8f, 0x22, 0xea, 0xba, 0x46, 0x34, 0xce, 0x97,
    287       0x8b, 0x4c, 0x38, 0x0e, 0x16, 0x82, 0xb6, 0xf3, 0x34, 0x38, 0x07, 0x87,
    288       0x73, 0x2a, 0x3d, 0x80, 0x56, 0x4b, 0x85, 0x67, 0xca, 0x2a, 0x19, 0xb6,
    289       0xb6, 0x2c, 0xfe, 0xd8, 0x02, 0xe5, 0xad, 0xd0, 0x61, 0x79, 0x73, 0xab,
    290       0xda, 0x3b, 0xa4, 0x51, 0xb3, 0xf7, 0x85, 0x99, 0xb2, 0xd0, 0x64, 0x97,
    291       0xb7, 0x3c, 0x0e, 0x58, 0xdf, 0xd2, 0x98, 0x98, 0x18, 0x1a, 0xf5, 0x59,
    292       0xcd, 0xc5, 0x48, 0x17, 0x10, 0x9f, 0xd8, 0x19, 0xbd, 0xd0, 0x42, 0x71,
    293       0x1c, 0x30, 0xc6, 0x76, 0xe9, 0xb0, 0xee, 0xf5, 0x38, 0x05, 0xbe, 0x9b,
    294       0x6c, 0x0d, 0xb0, 0xd0, 0xda, 0x1c, 0x89, 0xbd, 0x40, 0x5d, 0xc2, 0x5a,
    295       0xbe, 0x83, 0xa6, 0xb5, 0x47, 0xa7, 0xf8, 0xb9, 0xbf, 0xa2, 0x65, 0x17,
    296       0x1e, 0xd8, 0x28, 0x42, 0xbe, 0xb0, 0x35, 0xf6, 0x7b, 0x88, 0x38, 0xbe,
    297       0xf5, 0xb5, 0x1b, 0x63, 0x7a, 0x83, 0x92, 0x0d, 0x64, 0xad, 0x92, 0x59,
    298       0x97, 0x55, 0x5c, 0x60, 0xab, 0x48, 0x8e, 0x23, 0x27, 0x22, 0x75, 0x3b,
    299       0x7c, 0x9c, 0x69, 0x13, 0x52, 0x6b, 0xae, 0xfd, 0x38, 0xe5, 0x4b, 0x36,
    300       0x78, 0x55, 0x92, 0xb5, 0x8f, 0x25, 0xde, 0x0e, 0x93, 0xe3, 0x1d, 0x83,
    301       0x62, 0x05, 0x6a, 0x5a, 0xff, 0x7f, 0x77, 0xf7, 0x1b, 0xfc, 0x21, 0x45,
    302       0xf7, 0xb8, 0xfa, 0xcb, 0x00, 0x5e, 0x85, 0xf9, 0x2f, 0x15, 0x2f, 0xcf,
    303       0x17, 0x9e, 0x84, 0xf6, 0xf5, 0x15, 0x6e, 0xdd, 0xb4, 0x73, 0x44, 0xc2,
    304       0x2c, 0x74, 0xae, 0x27, 0x5f, 0x19, 0xe7, 0x51, 0x61, 0xc1, 0x82, 0xce,
    305       0xf1, 0x5b, 0xa0, 0x6f, 0x0b, 0x13, 0x10, 0x68, 0xb7, 0xee, 0xfb, 0x8a,
    306       0x85, 0xe2, 0xd6, 0x17, 0x55, 0x26, 0xa5, 0xc5, 0xb3, 0x94, 0x45, 0xdf,
    307       0x49, 0xe6, 0x50, 0xf8, 0x99, 0xd8, 0x3c, 0xcb, 0x94, 0x80, 0x67, 0x3b,
    308       0x73, 0xac, 0xf6, 0x46, 0x31, 0x63, 0xb3, 0x1b, 0x47, 0xce, 0x40, 0x3f,
    309       0x8c, 0xd0, 0x82, 0xc4, 0x79, 0x3a, 0x7c, 0x48, 0x10, 0xe3, 0x97, 0x98,
    310       0xdc, 0x0b, 0x62, 0x42, 0xfa, 0x26, 0x05, 0xf6, 0x8c, 0x32, 0xa9, 0xb6,
    311       0x2c, 0x4f, 0x85, 0xd2, 0x9b, 0xf3, 0x89, 0x1f, 0x91, 0xca, 0x12, 0x3d,
    312       0xe2, 0xa8, 0x0b, 0xca, 0x64, 0x28, 0x0e, 0xa7, 0xfd, 0xd8, 0xa3, 0xcb,
    313       0x0a, 0xd9, 0x97, 0x2d, 0xc3, 0xf2, 0x39, 0x74, 0xdb, 0xe3, 0x9a, 0x87,
    314       0x1a, 0xe0, 0x33, 0xe3, 0x92, 0xe8, 0xde, 0xb5, 0x08, 0x28, 0xcb, 0xd7,
    315       0xb6, 0x79, 0xec, 0x71, 0xcc, 0xe5, 0xd1, 0x4b, 0x89, 0x96, 0x5f, 0xfa,
    316       0xfd, 0x4b, 0xd0, 0xa8, 0x66, 0x0d, 0xb4, 0xa7, 0x51, 0x56, 0xbc, 0xa7,
    317       0x74, 0x07, 0x7f, 0xae, 0x0e, 0xf6, 0x9c, 0x13, 0xd9, 0xf2, 0xed, 0x12,
    318       0xa9, 0x87, 0x3e, 0xb7, 0x9d, 0x53, 0x8a, 0x82, 0x2d, 0x03, 0x2f, 0xac,
    319       0x94, 0x84, 0x95, 0x00, 0x29, 0x09, 0x01, 0x38, 0x62, 0xff, 0xaf, 0xfd,
    320       0x10, 0x2b, 0x31, 0x03, 0xb2, 0x4f, 0x51, 0xfb, 0x76, 0x27, 0x1e, 0x25,
    321       0x82, 0x79, 0x65, 0x69, 0xfa, 0x24, 0xaf, 0xcb, 0xe8, 0x40, 0x8d, 0x7d,
    322       0xd2, 0x9a, 0x12, 0x69, 0x2f, 0xe4, 0xce, 0x99, 0x98, 0x4f, 0x6c, 0x46,
    323       0xfd, 0x63, 0x40, 0x50, 0xef, 0x22, 0x02, 0x68, 0x2e, 0x53, 0xbb, 0x00,
    324       0xa3, 0x65, 0x61, 0x3e, 0x97, 0xd4, 0x5f, 0xa2, 0xc1, 0x66, 0xcd, 0x04,
    325       0xdc, 0xda, 0x55, 0x10, 0x28, 0x0d, 0x40, 0x11, 0xe6, 0x68, 0xed, 0x68,
    326       0x38, 0x7d, 0x20, 0xc3, 0x97, 0x9d, 0xcb, 0x6e, 0x30, 0xfc, 0xbe, 0x63,
    327       0xe7, 0x72, 0x47, 0x05, 0xf5, 0x0b, 0x7e, 0x66, 0x3b, 0xc5, 0x3a, 0x85,
    328       0x5a, 0xa3, 0xc5, 0x72, 0x9d, 0xb9, 0xc1, 0xb4, 0x80, 0x98, 0x6e, 0x40,
    329       0x86, 0xc9, 0xcb, 0xa3, 0xab, 0x77, 0xc2, 0x56, 0xfc, 0xcb, 0x6e, 0x12,
    330       0xf5, 0x63, 0x62, 0xf8, 0xff, 0x91, 0x15, 0xa7, 0xa1, 0x5e, 0xb6, 0xee,
    331       0x69, 0x4d, 0x5b, 0x5f, 0x4e, 0xfa, 0xd3, 0x61, 0xca, 0xec, 0x14, 0xfd,
    332       0xd9, 0x10, 0xf5, 0x4a, 0x05, 0x5f, 0x29, 0xcb, 0x77, 0x2c, 0x2d, 0xe2,
    333       0x90, 0x67, 0x62, 0x78, 0x75, 0xa9, 0x4e, 0x20, 0x00, 0x0c, 0x91, 0x84,
    334       0xba, 0xed, 0x1c, 0xce, 0xbd, 0x57, 0x4f, 0xa5, 0x2f, 0x59, 0x6c, 0x4c,
    335       0xdf, 0x5f, 0xaa, 0x32, 0xf0, 0x86, 0x09, 0x15, 0x36, 0xc6, 0xe6, 0x6a,
    336       0x24, 0xb4, 0xb3, 0x09, 0xdd, 0x32, 0xc5, 0x95, 0xac, 0x60, 0xb5, 0x09,
    337       0x97, 0x36, 0xa1, 0x3c, 0x8f, 0x0e, 0x90, 0x8e, 0xcd, 0xd0, 0x49, 0x75,
    338       0xf7, 0xf3, 0x80, 0x80, 0xcb, 0x1f, 0xee, 0xf2, 0x6a, 0x2f, 0x19, 0x8c,
    339       0xba, 0x10, 0x00, 0xda, 0x13, 0xef, 0x10, 0x2b, 0xb7, 0xef, 0xfd, 0xd1,
    340       0xe0, 0x7c, 0xf8, 0x46, 0x01, 0x69, 0x9b, 0x99, 0x80, 0x51, 0x1f, 0x74,
    341       0x3b, 0x67, 0x93, 0x18, 0x5e, 0xd4, 0x34, 0x6c, 0x81, 0x76, 0x02, 0xef,
    342       0x91, 0xa4, 0x22, 0x2a, 0x23, 0x1b, 0x58, 0x43, 0x75, 0x65, 0x13, 0x87,
    343       0x98, 0x60, 0x14, 0x25, 0x28, 0x67, 0xa3, 0x34, 0x8c, 0xe0, 0xd5, 0xd3,
    344       0x51, 0x33, 0x68, 0xff, 0x65, 0x59, 0x5a, 0xa7, 0xb2, 0x6b, 0x01, 0xad,
    345       0x70, 0x06, 0x73, 0x01, 0x51, 0x1b, 0xe1, 0xec, 0x28, 0x2f, 0x8a, 0x85,
    346       0x5a, 0x10, 0xd0, 0x0e, 0x6b, 0x35, 0x45, 0x2e, 0x61, 0xdd, 0x77, 0x20,
    347       0xb1, 0x35, 0x3b, 0xa8, 0xdd, 0x8a, 0xe2, 0x15, 0x79, 0x07,
    348   };
    349   uint8_t pub_bytes[HRSS_PUBLIC_KEY_BYTES];
    350   HRSS_marshal_public_key(pub_bytes, &pub);
    351   EXPECT_EQ(Bytes(pub_bytes), Bytes(kExpectedPub));
    352 
    353   uint8_t encap_entropy[HRSS_ENCAP_BYTES];
    354   for (size_t i = 0; i < sizeof(encap_entropy); i++) {
    355     encap_entropy[i] = 31 + i;
    356   }
    357   uint8_t ciphertext[HRSS_CIPHERTEXT_BYTES];
    358   uint8_t shared_key[HRSS_KEY_BYTES];
    359   HRSS_encap(ciphertext, shared_key, &pub, encap_entropy);
    360 
    361   static const uint8_t kExpectedCiphertext[HRSS_CIPHERTEXT_BYTES] = {
    362       0xe0, 0xc0, 0x77, 0xeb, 0x7a, 0x48, 0x7d, 0x74, 0x4e, 0x4f, 0x6d, 0xb9,
    363       0x5c, 0x18, 0xe9, 0x5b, 0x47, 0x6c, 0x78, 0x9d, 0x98, 0x02, 0x84, 0x9f,
    364       0xf2, 0x45, 0x43, 0x86, 0x0e, 0xc6, 0x93, 0x48, 0xd8, 0x20, 0xff, 0x82,
    365       0x38, 0x9e, 0x78, 0xb4, 0x2c, 0xb3, 0x42, 0xe4, 0xb3, 0xab, 0xdf, 0xed,
    366       0x65, 0x24, 0x0c, 0xa5, 0x95, 0x2c, 0xbf, 0x4c, 0x28, 0xfc, 0xb8, 0xe7,
    367       0xc6, 0xbc, 0x76, 0xa0, 0xf5, 0x3f, 0x29, 0x73, 0x23, 0xf1, 0x6c, 0x10,
    368       0x7c, 0x08, 0x8e, 0x16, 0x3a, 0xda, 0x17, 0xa3, 0x0d, 0x46, 0x44, 0xee,
    369       0x6f, 0x70, 0xf1, 0x88, 0x51, 0x35, 0x33, 0x91, 0x76, 0xeb, 0x98, 0xc1,
    370       0x04, 0xdb, 0x97, 0xab, 0x88, 0xb9, 0x04, 0x87, 0xd9, 0xb8, 0x34, 0xd3,
    371       0x38, 0xe7, 0x90, 0x05, 0x2e, 0x45, 0xe0, 0xac, 0x36, 0x0c, 0x59, 0x58,
    372       0xb1, 0xf5, 0x65, 0x6d, 0x28, 0x1a, 0x39, 0xd9, 0xd2, 0x83, 0x17, 0xee,
    373       0xeb, 0x6f, 0x7d, 0x29, 0x3c, 0x79, 0xcf, 0x48, 0xf1, 0x6d, 0x35, 0xc2,
    374       0x8c, 0xe8, 0x67, 0x18, 0xcc, 0x9d, 0x9b, 0x8d, 0x07, 0x7a, 0x4e, 0x56,
    375       0xa8, 0x00, 0x2e, 0x67, 0x67, 0xbb, 0xc1, 0xda, 0x4a, 0x7b, 0x9f, 0xa6,
    376       0x4a, 0x5c, 0x40, 0xcc, 0xe4, 0xdd, 0xf5, 0xc0, 0x44, 0xfe, 0xa5, 0xa2,
    377       0x1c, 0xdc, 0xf2, 0x31, 0xf4, 0x01, 0x1f, 0x69, 0x15, 0x7e, 0x8c, 0x54,
    378       0xb6, 0x47, 0x0c, 0x1d, 0x9f, 0x1a, 0xfa, 0xf7, 0x46, 0xa3, 0xcb, 0x34,
    379       0x2c, 0x18, 0x45, 0x65, 0xc4, 0xf2, 0x0e, 0xf8, 0xc7, 0x96, 0x1d, 0x29,
    380       0x5c, 0x90, 0xd3, 0xdf, 0xb2, 0x8e, 0x21, 0xf9, 0x15, 0x40, 0x7e, 0xd3,
    381       0x84, 0x52, 0x1d, 0xd9, 0xee, 0xed, 0xe8, 0x71, 0x1c, 0xdb, 0x48, 0xf5,
    382       0x20, 0x82, 0xc4, 0x61, 0xfd, 0x6d, 0x71, 0x9f, 0xd8, 0x03, 0x90, 0x8e,
    383       0xfc, 0xed, 0x4d, 0xab, 0x6e, 0xb2, 0xe9, 0x66, 0xfd, 0xcc, 0x3a, 0xa3,
    384       0x99, 0x53, 0x35, 0x76, 0xea, 0x08, 0x88, 0xba, 0xf0, 0xb7, 0x53, 0xf3,
    385       0x4c, 0x1a, 0x8f, 0x7f, 0xe4, 0x1b, 0x8b, 0xfc, 0x99, 0x3e, 0x4c, 0xa9,
    386       0xd9, 0x17, 0x10, 0x64, 0x60, 0xfd, 0x81, 0x76, 0xe6, 0x37, 0xb0, 0xe3,
    387       0x3e, 0xc0, 0xf7, 0x06, 0x7e, 0x34, 0xa5, 0xf4, 0xb9, 0x5f, 0x66, 0xe6,
    388       0x81, 0xc8, 0x5e, 0xb2, 0x26, 0x6b, 0x8c, 0xad, 0xd0, 0x94, 0x01, 0x22,
    389       0xf6, 0xbe, 0x1a, 0x0b, 0x34, 0xfc, 0x33, 0xc0, 0x84, 0xa5, 0xe0, 0x12,
    390       0x8a, 0x08, 0xae, 0x8a, 0xaf, 0x55, 0x0c, 0x34, 0x4b, 0x2b, 0xdd, 0xa3,
    391       0x7c, 0xc0, 0xed, 0xe8, 0x8d, 0x98, 0x47, 0x7c, 0x81, 0x25, 0x1b, 0x9f,
    392       0x08, 0x26, 0x9d, 0xfc, 0x19, 0x8e, 0x39, 0xc4, 0x1a, 0x3c, 0x42, 0x70,
    393       0x49, 0x37, 0x57, 0x87, 0x0f, 0x76, 0xb1, 0xc4, 0xbe, 0x25, 0x5e, 0x1c,
    394       0x06, 0x57, 0xc6, 0x88, 0x34, 0x28, 0xdf, 0x60, 0x33, 0x09, 0xc5, 0xcc,
    395       0xf4, 0xc4, 0x33, 0x85, 0x8b, 0x48, 0xe8, 0x27, 0xb7, 0x72, 0x22, 0x44,
    396       0xff, 0xe7, 0x89, 0xf9, 0x71, 0x99, 0xed, 0x62, 0x47, 0xb0, 0x22, 0x9e,
    397       0xa6, 0x7c, 0xaf, 0xa9, 0x98, 0x2b, 0x5c, 0x8a, 0x42, 0x34, 0x77, 0xa3,
    398       0xc8, 0x13, 0x1e, 0xcf, 0x32, 0xa7, 0x70, 0xa8, 0xad, 0xc1, 0x66, 0x5c,
    399       0x8f, 0xaf, 0x14, 0x6d, 0xc4, 0x45, 0x05, 0xcd, 0xcb, 0x80, 0xfa, 0x0e,
    400       0xa6, 0xca, 0x72, 0x86, 0xd2, 0xb7, 0x39, 0x26, 0x77, 0xf8, 0x14, 0xd0,
    401       0xcd, 0xdd, 0xf7, 0xdc, 0xda, 0x25, 0x8e, 0x3c, 0x21, 0xfd, 0xef, 0x92,
    402       0xee, 0x52, 0xf7, 0xc3, 0xc7, 0xe2, 0x2d, 0x1c, 0x57, 0x5a, 0xba, 0xd8,
    403       0xaa, 0x0d, 0x09, 0xa7, 0xb3, 0xcc, 0xa1, 0x5d, 0xdb, 0x04, 0x21, 0x82,
    404       0xef, 0xba, 0xc2, 0xc8, 0x54, 0xb1, 0xbe, 0xd7, 0x2a, 0x91, 0xd8, 0xeb,
    405       0x72, 0x54, 0xc1, 0x74, 0x24, 0x24, 0x5a, 0x03, 0xf7, 0xcd, 0xab, 0x91,
    406       0xd1, 0x63, 0xf1, 0x60, 0x9f, 0x22, 0x07, 0xad, 0x10, 0x2b, 0x97, 0x1c,
    407       0x6f, 0xce, 0xc0, 0x29, 0xc2, 0xb2, 0xb8, 0x1b, 0xbd, 0x14, 0xc8, 0xb9,
    408       0x80, 0x66, 0xc1, 0x86, 0xfc, 0x93, 0x5f, 0x6e, 0x0b, 0x7a, 0x7b, 0x8e,
    409       0x42, 0x8c, 0x08, 0xd1, 0x60, 0xb9, 0xf8, 0x66, 0x24, 0x7d, 0x88, 0x58,
    410       0x2f, 0xd2, 0x52, 0x75, 0x3a, 0x8a, 0x1c, 0xfa, 0x1e, 0xa1, 0x1c, 0x91,
    411       0x46, 0x79, 0x9a, 0xe5, 0x8a, 0xdd, 0xc2, 0x75, 0xed, 0x0d, 0xb8, 0x2b,
    412       0x4f, 0x8f, 0x95, 0xca, 0xce, 0x21, 0xa4, 0x7a, 0x0d, 0x14, 0x7f, 0x2d,
    413       0x98, 0xf0, 0x88, 0xc3, 0x6f, 0xad, 0xb5, 0x04, 0x24, 0x91, 0x41, 0x65,
    414       0xd3, 0xa5, 0x7e, 0xfb, 0x53, 0x1c, 0xcc, 0xd0, 0xf7, 0x7c, 0x91, 0x08,
    415       0x0e, 0xdd, 0xd4, 0x6c, 0x73, 0xaa, 0xa5, 0x7a, 0xd2, 0x24, 0xc9, 0x3b,
    416       0x6f, 0xda, 0x06, 0x8a, 0xdb, 0x2e, 0xa8, 0xe9, 0xe1, 0x3e, 0x08, 0xee,
    417       0xbe, 0x96, 0x65, 0x72, 0x68, 0x6f, 0xf7, 0x50, 0xe7, 0xa7, 0x18, 0xda,
    418       0xc2, 0x94, 0xda, 0xe3, 0xbc, 0xca, 0x03, 0xd8, 0xf7, 0x7a, 0xcc, 0x44,
    419       0xa1, 0x60, 0xa8, 0x7f, 0xdc, 0xef, 0x80, 0xf4, 0x62, 0xc6, 0x06, 0x4e,
    420       0xb6, 0xac, 0x77, 0x17, 0xb7, 0xb3, 0x3e, 0xf8, 0x6d, 0x8a, 0x61, 0x83,
    421       0x3a, 0xfd, 0xbb, 0x93, 0x5b, 0x1a, 0x33, 0xf8, 0xee, 0x7d, 0x9e, 0x5c,
    422       0xf8, 0xc9, 0xd5, 0x3e, 0x3d, 0x42, 0x9b, 0xe5, 0x0d, 0xec, 0xc9, 0x0f,
    423       0x6f, 0x03, 0xb0, 0x41, 0x85, 0xb9, 0xfe, 0xf9, 0xb1, 0xb4, 0xc3, 0xd9,
    424       0x13, 0x03, 0xfa, 0x0d, 0xe7, 0xd1, 0xb4, 0xc8, 0xf6, 0xb5, 0x11, 0x7a,
    425       0x92, 0x09, 0x21, 0x7b, 0xa9, 0x89, 0x4c, 0x19, 0x90, 0x0d, 0x96, 0x32,
    426       0x4f, 0x77, 0xfc, 0x7f, 0x8c, 0xa3, 0x39, 0x2a, 0x56, 0xe6, 0x5c, 0xd1,
    427       0x86, 0x0a, 0x72, 0xf4, 0xa3, 0x1b, 0xa5, 0x30, 0x04, 0x3c, 0x15, 0x20,
    428       0x4b, 0xe4, 0x2d, 0x1a, 0xf1, 0x44, 0x48, 0xfc, 0xda, 0xc1, 0x41, 0xdb,
    429       0x71, 0xfd, 0x92, 0x00, 0x53, 0xe4, 0x70, 0xd0, 0xba, 0xf6, 0xef, 0x17,
    430       0x72, 0xb8, 0xea, 0x6d, 0x41, 0x16, 0x4d, 0x1f, 0x59, 0x18, 0xbd, 0x1f,
    431       0xc5, 0x6b, 0x6a, 0x6c, 0x2e, 0xa6, 0x1a, 0x33, 0x74, 0x8b, 0xc5, 0x9f,
    432       0x16, 0x01, 0x77, 0x7e, 0x37, 0xe7, 0x63, 0xe1, 0xa3, 0x8c, 0x1f, 0x71,
    433       0xe9, 0x4f, 0xad, 0x15, 0x8b, 0xf3, 0xc9, 0xac, 0xdc, 0x19, 0xad, 0x92,
    434       0x18, 0x00, 0xf6, 0xa1, 0xd5, 0x97, 0xa3, 0x3d, 0x9e, 0x78, 0x02, 0xc3,
    435       0x8f, 0x75, 0xd8, 0xad, 0x22, 0xbf, 0xef, 0x19, 0x5d, 0x15, 0x34, 0x1a,
    436       0x7c, 0x9b, 0xaf, 0xd4, 0xf2, 0xf9, 0x5f, 0x72, 0x88, 0x9c, 0xe4, 0x58,
    437       0xda, 0x46, 0x8f, 0x79, 0x30, 0x2b, 0xd9, 0x3b, 0xbc, 0xab, 0x28, 0x77,
    438       0x75, 0x0e, 0x2c, 0x23, 0x47, 0x95, 0x14, 0xeb, 0xf0, 0x4a, 0x3e, 0x53,
    439       0x93, 0xa7, 0xf4, 0x82, 0x9c, 0x34, 0x8b, 0x80, 0x42, 0xb2, 0xa7, 0xb0,
    440       0x7c, 0x6c, 0xe1, 0x07, 0xf4, 0x34, 0x3e, 0xed, 0x33, 0x9c, 0xb3, 0xde,
    441       0xa5, 0x91, 0x61, 0x25, 0x8e, 0x8c, 0x54, 0x56, 0xbe, 0x1a, 0xac, 0x17,
    442       0xd2, 0x7a, 0xa4, 0x12, 0x54, 0x2a, 0x51, 0xd0, 0x0e, 0xd1, 0xc1, 0x44,
    443       0x50, 0x05, 0x39, 0xa7, 0xb6, 0x14, 0x45, 0xca, 0xf8, 0x5f, 0x06, 0x6b,
    444       0x5d, 0x5e, 0xc7, 0xe9, 0x27, 0x6f, 0x38, 0xe0, 0x31, 0xcf, 0xf8, 0xcc,
    445       0x2e, 0xb9, 0x4a, 0x10, 0x1b, 0xb4, 0x34, 0x4b, 0x90, 0xbb, 0xf2, 0xe0,
    446       0x3c, 0x79, 0x7f, 0x39, 0x59, 0x0c, 0x01, 0x4c, 0x0d, 0x2d, 0x71, 0xf1,
    447       0xbd, 0xda, 0x1a, 0x78, 0xcf, 0x26, 0x6f, 0xb5, 0xa9, 0x07, 0x20, 0xe6,
    448       0x8c, 0xd0, 0xad, 0xd4, 0xca, 0x24, 0x6c, 0xc5, 0x28, 0x1d, 0xfb, 0xcc,
    449       0xe7, 0x93, 0x72, 0x99, 0x61, 0x63, 0x60, 0x4c, 0x5c, 0xa9, 0xb6, 0x15,
    450       0x32, 0xa4, 0xbc, 0x1f, 0xf6, 0x63, 0x61, 0x2c, 0x26, 0xa7, 0x0e, 0x5f,
    451       0x1b, 0x25, 0xce, 0x3f, 0x64, 0xdf, 0x6d, 0xb0, 0x8f, 0xd2, 0xe9, 0x3b,
    452       0x35, 0xd0, 0x59, 0x81, 0x22, 0xf1, 0x65, 0x86, 0x15, 0x10, 0xe8, 0xa7,
    453       0xa1, 0x6f, 0xb4, 0x34, 0x1c, 0x79, 0xd5, 0x9e, 0x8d, 0xc8, 0xa5, 0xbb,
    454       0x82, 0x71, 0x81, 0x00, 0x34, 0x55, 0x6b, 0x96, 0x56, 0x13, 0x0e, 0xe7,
    455       0x39, 0xa2, 0x6f, 0xbe, 0x54, 0x2a, 0x13, 0x03, 0x13, 0xd2, 0x1d, 0x71,
    456       0x9a, 0xbe, 0x09, 0x00, 0xe1, 0x8d, 0x59, 0xb5, 0x44, 0x02,
    457   };
    458   EXPECT_EQ(Bytes(ciphertext), Bytes(kExpectedCiphertext));
    459 
    460   static const uint8_t kExpectedSharedKey[HRSS_KEY_BYTES] = {
    461       0x57, 0xf2, 0x77, 0xb2, 0xf3, 0x7f, 0xd0, 0x71, 0xb6, 0x7e, 0x64,
    462       0x0f, 0x85, 0x1f, 0x6d, 0x3b, 0xd1, 0x7a, 0x6e, 0x01, 0x04, 0xde,
    463       0x0f, 0x9e, 0x03, 0x95, 0x55, 0x60, 0xce, 0xda, 0x32, 0x71,
    464   };
    465   EXPECT_EQ(Bytes(shared_key), Bytes(kExpectedSharedKey));
    466 
    467   HRSS_decap(shared_key, &priv, ciphertext, sizeof(ciphertext));
    468   EXPECT_EQ(Bytes(shared_key, sizeof(shared_key)),
    469             Bytes(kExpectedSharedKey, sizeof(kExpectedSharedKey)));
    470 
    471   // Corrupt the ciphertext and ensure that the failure key is constant.
    472   ciphertext[50] ^= 4;
    473   HRSS_decap(shared_key, &priv, ciphertext, sizeof(ciphertext));
    474 
    475   static const uint8_t kExpectedFailureKey[HRSS_KEY_BYTES] = {
    476       0x13, 0xf7, 0xed, 0x51, 0x00, 0xbc, 0xca, 0x29, 0xdf, 0xb0, 0xd0,
    477       0x5e, 0xa1, 0x9d, 0x15, 0xb2, 0xf6, 0x23, 0x94, 0xfd, 0x93, 0x74,
    478       0x14, 0x46, 0x85, 0x61, 0x8b, 0x87, 0x30, 0xd3, 0x8d, 0xad,
    479   };
    480   EXPECT_EQ(Bytes(shared_key), Bytes(kExpectedFailureKey));
    481 }
    482 
    483 #if defined(POLY_RQ_MUL_ASM) && defined(SUPPORTS_ABI_TEST)
    484 TEST(HRSS, ABI) {
    485   const bool has_avx2 = (OPENSSL_ia32cap_P[2] & (1 << 5)) != 0;
    486   if (!has_avx2) {
    487     fprintf(stderr, "Skipping ABI test due to lack of AVX2 support.\n");
    488     return;
    489   }
    490 
    491   alignas(16) uint16_t r[N + 3];
    492   alignas(16) uint16_t a[N + 3] = {0};
    493   alignas(16) uint16_t b[N + 3] = {0};
    494   CHECK_ABI(poly_Rq_mul, r, a, b);
    495 }
    496 #endif  // POLY_RQ_MUL_ASM && SUPPORTS_ABI_TEST
    497