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HRSS: flatten sample distribution.

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With HRSS-SXY, the sampling algorithm now longer has to be the same
between the two parties. Therefore we can change it at will (as long as
it remains reasonably uniform) and thus take the opportunity to make the
output distribution flatter.

Change-Id: I74c667fcf919fe11ddcf2f4fb8a540b5112268bf
Reviewed-on: https://boringssl-review.googlesource.com/c/34404
Commit-Queue: Adam Langley <agl@google.com>
Reviewed-by: David Benjamin <davidben@google.com>
This commit is contained in:
Adam Langley 2019-01-21 12:53:43 -08:00 committed by CQ bot account: commit-bot@chromium.org
parent c1615719ce
commit 72f015562c
3 changed files with 216 additions and 264 deletions
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74
crypto/hrss/hrss.c
View File

@ -1460,7 +1460,7 @@ static void poly2_from_poly(struct poly2 *out, const struct poly *in) {
*words = word;
}
// mod3 treats |a| is a signed number and returns |a| mod 3.
// mod3 treats |a| as a signed number and returns |a| mod 3.
static uint16_t mod3(int16_t a) {
const int16_t q = ((int32_t)a * 21845) >> 16;
int16_t ret = a - 3 * q;
@ -1794,69 +1794,21 @@ static void poly_marshal_mod3(uint8_t out[HRSS_POLY3_BYTES],
// HRSS-specific functions
// -----------------------
// poly_short_sample implements the sampling algorithm given in [HRSSNIST]
// section 1.8.1. The output coefficients are in {0, 1, 0xffff} which makes some
// later computation easier.
// poly_short_sample samples a vector of values in {0xffff (i.e. -1), 0, 1}.
// This is the same action as the algorithm in [HRSSNIST] section 1.8.1, but
// with HRSS-SXY the sampling algorithm is now a private detail of the
// implementation (previously it had to match between two parties). This
// function uses that freedom to implement a flatter distribution of values.
static void poly_short_sample(struct poly *out,
const uint8_t in[HRSS_SAMPLE_BYTES]) {
// We wish to calculate the difference (mod 3) between two, two-bit numbers.
// Here is a table of results for a - b. Negative one is written as 0b11 so
// that a couple of shifts can be used to sign-extend it. Any input value of
// 0b11 is invalid and a convention is adopted that an invalid input results
// in an invalid output (0b10).
//
// b a result
// 00 00 00
// 00 01 01
// 00 10 11
// 00 11 10
// 01 00 11
// 01 01 00
// 01 10 01
// 01 11 10
// 10 00 01
// 10 01 11
// 10 10 00
// 10 11 10
// 11 00 10
// 11 01 10
// 11 10 10
// 11 11 10
//
// The result column is encoded in a single-word lookup-table:
// 0001 1110 1100 0110 0111 0010 1010 1010
// 1 d c 6 7 2 a a
static const uint32_t kLookup = 0x1dc672aa;
// In order to generate pairs of numbers mod 3 (non-uniformly) we treat pairs
// of bits in a uint32 as separate values and sum two random vectors of 1-bit
// numbers. This works because these pairs are isolated because no carry can
// spread between them.
uint16_t *p = out->v;
for (size_t i = 0; i < N / 8; i++) {
uint32_t v;
OPENSSL_memcpy(&v, in, sizeof(v));
in += sizeof(v);
uint32_t sums = (v & 0x55555555) + ((v >> 1) & 0x55555555);
for (unsigned j = 0; j < 8; j++) {
p[j] = (int32_t)(kLookup << ((sums & 15) << 1)) >> 30;
sums >>= 4;
OPENSSL_STATIC_ASSERT(HRSS_SAMPLE_BYTES == N - 1,
"HRSS_SAMPLE_BYTES incorrect");
for (size_t i = 0; i < N - 1; i++) {
uint16_t v = mod3(in[i]);
// Map {0, 1, 2} -> {0, 1, 0xffff}
v |= ((v >> 1) ^ 1) - 1;
out->v[i] = v;
}
p += 8;
}
// There are four values remaining.
uint16_t v;
OPENSSL_memcpy(&v, in, sizeof(v));
uint16_t sums = (v & 0x5555) + ((v >> 1) & 0x5555);
for (unsigned j = 0; j < 4; j++) {
p[j] = (int32_t)(kLookup << ((sums & 15) << 1)) >> 30;
sums >>= 4;
}
out->v[N - 1] = 0;
}

401
crypto/hrss/hrss_test.cc
View File

@ -250,216 +250,217 @@ TEST(HRSS, Golden) {
HRSS_generate_key(&pub, &priv, generate_key_entropy);
static const uint8_t kExpectedPub[HRSS_PUBLIC_KEY_BYTES] = {
0xf8, 0x9f, 0xa0, 0xfc, 0xf1, 0xd4, 0xfa, 0x4d, 0x8f, 0x35, 0x28, 0x73,
0x0e, 0x37, 0x18, 0x1d, 0x09, 0xf3, 0x9e, 0x16, 0x0d, 0x7f, 0x9c, 0x82,
0x17, 0xa1, 0xa1, 0x88, 0x6b, 0x29, 0x5b, 0x3a, 0x30, 0xcd, 0x6f, 0x8e,
0x0c, 0xd3, 0x38, 0x0c, 0x05, 0x68, 0x6e, 0x4c, 0xcc, 0x20, 0xd4, 0x06,
0x77, 0x0c, 0xac, 0x1c, 0x49, 0x14, 0x00, 0xd6, 0x9b, 0x1c, 0xde, 0x43,
0x0a, 0x59, 0x37, 0xd6, 0x46, 0x68, 0x1f, 0x04, 0xcb, 0x73, 0x92, 0x37,
0x2d, 0x7f, 0x57, 0x70, 0x16, 0xe8, 0x06, 0x48, 0x3b, 0x66, 0xb3, 0x63,
0x02, 0x5a, 0x71, 0x46, 0xdd, 0xa4, 0xee, 0xb8, 0x78, 0x44, 0xfd, 0x9e,
0xd0, 0x71, 0x16, 0x00, 0xbd, 0x01, 0x1e, 0x27, 0x2e, 0xa0, 0xc6, 0x8d,
0x55, 0x89, 0x7c, 0x2a, 0x01, 0x2b, 0x1b, 0x75, 0xa2, 0xc2, 0xd1, 0x5a,
0x67, 0xfa, 0xdd, 0x3b, 0x70, 0x9d, 0xdb, 0xcd, 0x73, 0x32, 0x5e, 0x24,
0xb1, 0xcf, 0x23, 0xbe, 0x3c, 0x56, 0xcc, 0xbe, 0x61, 0xdb, 0xe7, 0x3c,
0xc7, 0xf5, 0x09, 0xe6, 0x87, 0xa0, 0x09, 0x52, 0x9d, 0x61, 0x5b, 0xc6,
0xd4, 0xc5, 0x2e, 0xc2, 0x6c, 0x87, 0x30, 0x36, 0x49, 0x6f, 0x04, 0xaa,
0xb3, 0x26, 0xd5, 0x63, 0xcf, 0xd4, 0x74, 0x1e, 0xc7, 0x79, 0xb3, 0xfc,
0x8c, 0x41, 0x36, 0x79, 0xaa, 0xd5, 0xba, 0x64, 0x49, 0x48, 0xdb, 0xeb,
0xe8, 0x33, 0x7d, 0xbe, 0x3b, 0x67, 0xd7, 0xfd, 0x93, 0x1e, 0x80, 0x8d,
0x17, 0xab, 0x6f, 0xfd, 0x1c, 0x4b, 0x2d, 0x5b, 0x90, 0xf0, 0xf0, 0x5d,
0xbe, 0x8f, 0x81, 0x18, 0x29, 0x08, 0x9a, 0x47, 0x1b, 0xc2, 0x2d, 0xa2,
0x22, 0x5a, 0x4f, 0xe9, 0x81, 0x64, 0xdd, 0x53, 0x2e, 0x67, 0xe5, 0x07,
0x1a, 0xf0, 0x0c, 0x54, 0x9b, 0xe2, 0xf8, 0xe6, 0xb3, 0xb6, 0xe0, 0x5a,
0x74, 0xfa, 0x8d, 0x9c, 0xa5, 0x7c, 0x6e, 0x73, 0xba, 0xee, 0x6e, 0x6e,
0x31, 0xcb, 0x59, 0xd7, 0xfd, 0x94, 0x1c, 0x4d, 0x62, 0xc6, 0x87, 0x0b,
0x38, 0x54, 0xc6, 0x35, 0xac, 0xc8, 0x8c, 0xc0, 0xd9, 0x99, 0xee, 0xfc,
0xa9, 0xde, 0xc4, 0x50, 0x88, 0x8e, 0x24, 0xf6, 0xd6, 0x04, 0x54, 0x3e,
0x81, 0xc4, 0x96, 0x9a, 0x40, 0xe5, 0xef, 0x8b, 0xec, 0x41, 0x50, 0x1d,
0x14, 0xae, 0xa4, 0x5a, 0xac, 0xd4, 0x73, 0x31, 0xc3, 0x1d, 0xc1, 0x96,
0x89, 0xd8, 0x62, 0x97, 0x60, 0x3f, 0x58, 0x2a, 0x5f, 0xcf, 0xcb, 0x26,
0x99, 0x69, 0x81, 0x13, 0x9c, 0xaf, 0x17, 0x91, 0xa8, 0xeb, 0x9a, 0xf9,
0xd3, 0x83, 0x47, 0x66, 0xc7, 0xf8, 0xd8, 0xe3, 0xd2, 0x7e, 0x58, 0xa9,
0xf5, 0xb2, 0x03, 0xbe, 0x7e, 0xa5, 0x29, 0x9d, 0xff, 0xd1, 0xd8, 0x55,
0x39, 0xc7, 0x2c, 0xce, 0x03, 0x64, 0xdc, 0x18, 0xe7, 0xb0, 0x60, 0x46,
0x26, 0xeb, 0xb7, 0x61, 0x4b, 0x91, 0x2c, 0xd8, 0xa2, 0xee, 0x63, 0x2e,
0x15, 0x0a, 0x58, 0x88, 0x04, 0xb1, 0xed, 0x6d, 0xf1, 0x5c, 0xc7, 0xee,
0x60, 0x38, 0x26, 0xc9, 0x31, 0x7e, 0x69, 0xe4, 0xac, 0x3c, 0x72, 0x09,
0x3e, 0xe6, 0x24, 0x30, 0x44, 0x6e, 0x66, 0x83, 0xb9, 0x2a, 0x22, 0xaf,
0x26, 0x1e, 0xaa, 0xa3, 0xf4, 0xb1, 0xa1, 0x5c, 0xfa, 0x5f, 0x0d, 0x71,
0xac, 0xe3, 0xe0, 0xc3, 0xdd, 0x4f, 0x96, 0x57, 0x8b, 0x58, 0xac, 0xe3,
0x42, 0x8e, 0x47, 0x72, 0xb1, 0xe4, 0x19, 0x68, 0x3e, 0xbb, 0x19, 0x14,
0xdf, 0x16, 0xb5, 0xde, 0x7f, 0x37, 0xaf, 0xd8, 0xd3, 0x3d, 0x6a, 0x16,
0x1b, 0x26, 0xd3, 0xcc, 0x53, 0x82, 0x57, 0x90, 0x89, 0xc5, 0x7e, 0x6d,
0x7e, 0x99, 0x5b, 0xcd, 0xd3, 0x18, 0xbb, 0x89, 0xef, 0x76, 0xbd, 0xd2,
0x62, 0xf0, 0xe8, 0x25, 0x2a, 0x8d, 0xe2, 0x21, 0xea, 0xde, 0x6e, 0xa5,
0xa4, 0x3d, 0x58, 0xee, 0xdf, 0x90, 0xc1, 0xa1, 0x38, 0x5d, 0x11, 0x50,
0xb5, 0xac, 0x9d, 0xb4, 0xfd, 0xef, 0x53, 0xe8, 0xc0, 0x17, 0x6c, 0x4f,
0x31, 0xe0, 0xcc, 0x8f, 0x80, 0x7a, 0x84, 0x14, 0xde, 0xee, 0xec, 0xdd,
0x6a, 0xad, 0x29, 0x65, 0xa5, 0x72, 0xc3, 0x73, 0x5f, 0xe3, 0x6f, 0x60,
0xb1, 0xfb, 0x0f, 0xaa, 0xc6, 0xda, 0x53, 0x4a, 0xb1, 0x92, 0x2a, 0xb7,
0x02, 0xbe, 0xf9, 0xdf, 0x37, 0x16, 0xe7, 0x5c, 0x38, 0x0b, 0x3c, 0xe2,
0xdd, 0x90, 0xb8, 0x7b, 0x48, 0x69, 0x79, 0x81, 0xc5, 0xae, 0x9a, 0x0d,
0x78, 0x95, 0x52, 0x63, 0x80, 0xda, 0x46, 0x69, 0x20, 0x57, 0x9b, 0x27,
0xe2, 0xe8, 0xbd, 0x2f, 0x45, 0xe6, 0x46, 0x40, 0xae, 0x50, 0xd5, 0xa2,
0x53, 0x93, 0xe1, 0x99, 0xfd, 0x13, 0x7c, 0xf6, 0x22, 0xc4, 0x6c, 0xab,
0xe3, 0xc9, 0x55, 0x0a, 0x16, 0x67, 0x68, 0x26, 0x6b, 0xd6, 0x7d, 0xde,
0xd3, 0xae, 0x71, 0x32, 0x02, 0xf1, 0x27, 0x67, 0x47, 0x74, 0xd9, 0x40,
0x35, 0x1d, 0x25, 0x72, 0x32, 0xdf, 0x75, 0xd5, 0x60, 0x26, 0xab, 0x90,
0xfa, 0xeb, 0x26, 0x11, 0x4b, 0xb4, 0xc5, 0xc2, 0x3e, 0xa9, 0x23, 0x3a,
0x4e, 0x6a, 0xb1, 0xbb, 0xb3, 0xea, 0xf9, 0x1e, 0xe4, 0x10, 0xf5, 0xdc,
0x35, 0xde, 0xb5, 0xee, 0xf0, 0xde, 0xa1, 0x18, 0x80, 0xc7, 0x13, 0x68,
0x46, 0x94, 0x0e, 0x2a, 0x8e, 0xf8, 0xe9, 0x26, 0x84, 0x42, 0x0f, 0x56,
0xed, 0x67, 0x7f, 0xeb, 0x7d, 0x35, 0x07, 0x01, 0x11, 0x81, 0x8b, 0x56,
0x88, 0xc6, 0x58, 0x61, 0x65, 0x3c, 0x5d, 0x9c, 0x58, 0x25, 0xd6, 0xdf,
0x4e, 0x3b, 0x93, 0xbf, 0x82, 0xe1, 0x19, 0xb8, 0xda, 0xde, 0x26, 0x38,
0xf2, 0xd9, 0x95, 0x24, 0x98, 0xde, 0x58, 0xf7, 0x0c, 0xe9, 0x32, 0xbb,
0xcc, 0xf7, 0x92, 0x69, 0xa2, 0xf0, 0xc3, 0xfa, 0xd2, 0x31, 0x8b, 0x43,
0x4e, 0x03, 0xe2, 0x13, 0x79, 0x6e, 0x73, 0x63, 0x3b, 0x45, 0xde, 0x80,
0xf4, 0x26, 0xb1, 0x38, 0xed, 0x62, 0x55, 0xc6, 0x6a, 0x67, 0x00, 0x2d,
0xba, 0xb2, 0xc5, 0xb6, 0x97, 0x62, 0x28, 0x64, 0x30, 0xb9, 0xfb, 0x3f,
0x94, 0x03, 0x48, 0x36, 0x2c, 0x5d, 0xfd, 0x08, 0x96, 0x40, 0xd1, 0x6c,
0xe5, 0xd0, 0xf8, 0x99, 0x40, 0x82, 0x87, 0xd7, 0xdc, 0x2f, 0x8b, 0xaa,
0x31, 0x96, 0x0a, 0x34, 0x33, 0xa6, 0xf1, 0x84, 0x6e, 0x33, 0x73, 0xc5,
0xe3, 0x26, 0xad, 0xd0, 0xcb, 0x62, 0x71, 0x82, 0xab, 0xd1, 0x82, 0x33,
0xe6, 0xca, 0xd0, 0x3e, 0xf5, 0x4d, 0x12, 0x6e, 0xf1, 0x83, 0xbd, 0xdc,
0x4d, 0xdf, 0x49, 0xbc, 0x63, 0xae, 0x7e, 0x59, 0xe8, 0x3c, 0x0d, 0xd6,
0x1d, 0x41, 0x89, 0x72, 0x52, 0xc0, 0xae, 0xd1, 0x2f, 0x0a, 0x8a, 0xce,
0x26, 0xd0, 0x3e, 0x0c, 0x71, 0x32, 0x52, 0xb2, 0xe4, 0xee, 0xa2, 0xe5,
0x28, 0xb6, 0x33, 0x69, 0x97, 0x5a, 0x53, 0xdb, 0x56, 0x63, 0xe9, 0xb3,
0x6d, 0x60, 0xf4, 0x7a, 0xce, 0xec, 0x36, 0x65, 0xd5, 0xca, 0x63, 0x2a,
0x19, 0x90, 0x14, 0x7b, 0x02, 0x33, 0xfa, 0x11, 0x58, 0x5a, 0xd9, 0xc5,
0x54, 0xf3, 0x28, 0xd5, 0x6e, 0xea, 0x85, 0xf5, 0x09, 0xbb, 0x81, 0x44,
0x1c, 0x63, 0x66, 0x81, 0xc5, 0x96, 0x2d, 0x7c, 0x0e, 0x75, 0x7b, 0xb4,
0x7e, 0x4e, 0x0c, 0xfd, 0x3c, 0xc5, 0x5a, 0x22, 0x85, 0x5c, 0xc8, 0xf3,
0x97, 0x98, 0x2c, 0xe9, 0x46, 0xb4, 0x02, 0xcf, 0x7d, 0xa4, 0xf2, 0x44,
0x7a, 0x89, 0x71, 0xa0, 0xfa, 0xb6, 0xa3, 0xaf, 0x13, 0x25, 0x46, 0xe2,
0x64, 0xe3, 0x69, 0xba, 0xf9, 0x68, 0x5c, 0xc0, 0xb7, 0xa8, 0xa6, 0x4b,
0xe1, 0x42, 0xe9, 0xb5, 0xc7, 0x84, 0xbb, 0xa6, 0x4b, 0x10, 0x4e, 0xd4,
0x68, 0x70, 0x0a, 0x75, 0x2a, 0xbb, 0x9d, 0xa0, 0xcb, 0xf0, 0x36, 0x4c,
0x70, 0x6c, 0x60, 0x4d, 0xfe, 0xe8, 0xc8, 0x66, 0x80, 0x1b, 0xf7, 0xcc,
0x1a, 0xdd, 0x6b, 0xa7, 0xa7, 0x25, 0x61, 0x0c, 0x31, 0xf0, 0x34, 0x63,
0x00, 0x0e, 0x48, 0x6a, 0x5a, 0x8d, 0x47, 0x94, 0x3f, 0x14, 0x16, 0xa8,
0x8a, 0x49, 0xbb, 0x0c, 0x43, 0x21, 0xda, 0xf2, 0xc5, 0xd0, 0xff, 0x19,
0x3e, 0x36, 0x64, 0x20, 0xb3, 0x70, 0xae, 0x54, 0xca, 0x73, 0x05, 0x56,
0x7a, 0x49, 0x45, 0xe9, 0x46, 0xbc, 0xc2, 0x61, 0x70, 0x40, 0x7c, 0xb0,
0xf7, 0xea, 0xc0, 0xd1, 0xb0, 0x77, 0x2c, 0xc7, 0xdd, 0x88, 0xcb, 0x9d,
0xea, 0x55, 0x6c, 0x5c, 0x28, 0xb8, 0x84, 0x1c, 0x2c, 0x06,
0x4a, 0x21, 0x39, 0x7c, 0xb4, 0xa6, 0x58, 0x15, 0x35, 0x77, 0xe4, 0x2a,
0x02, 0x79, 0xc0, 0x02, 0xe2, 0x21, 0x27, 0x5f, 0x49, 0xc7, 0x2c, 0x14,
0xb6, 0xe0, 0x67, 0xc2, 0xc7, 0x09, 0x62, 0x0c, 0xe5, 0x23, 0x9c, 0x40,
0xd7, 0x7e, 0xf5, 0x55, 0x5a, 0xa2, 0xd0, 0x9f, 0xd3, 0x8c, 0x67, 0x7b,
0x48, 0xa4, 0x53, 0x8d, 0x39, 0xb1, 0xcc, 0x99, 0x29, 0xf7, 0x83, 0xbf,
0x6f, 0x9b, 0x16, 0x73, 0x23, 0xcc, 0xc3, 0x86, 0x98, 0xb1, 0x7c, 0x53,
0xb1, 0xf5, 0xf4, 0xdd, 0xc8, 0x97, 0x5e, 0xd3, 0x6d, 0x63, 0xce, 0xf3,
0xa2, 0xf6, 0xef, 0x94, 0xed, 0x4a, 0x3e, 0xe6, 0x4b, 0xa2, 0xfb, 0x87,
0xa3, 0xbc, 0x65, 0x1c, 0x17, 0x64, 0x25, 0xa7, 0xb4, 0xa1, 0xe6, 0x84,
0x06, 0x72, 0x0c, 0x28, 0xe8, 0xfc, 0xaa, 0xca, 0xf8, 0x20, 0x79, 0x89,
0xa9, 0xf0, 0x60, 0xdf, 0xd6, 0xd4, 0xe0, 0xaf, 0x99, 0x54, 0x21, 0xaf,
0x76, 0xd5, 0x9a, 0x31, 0x80, 0xea, 0x7f, 0x03, 0x6c, 0x14, 0x74, 0x06,
0x9c, 0x93, 0xe3, 0x93, 0xcc, 0x46, 0x4d, 0x82, 0xda, 0xdf, 0x67, 0xe9,
0x6d, 0x58, 0x2b, 0x49, 0xf3, 0x10, 0x71, 0xa0, 0xc5, 0xec, 0xa0, 0x29,
0xd7, 0x7c, 0x43, 0xd5, 0x05, 0x7e, 0x14, 0x8c, 0x39, 0x28, 0xf9, 0x46,
0x3d, 0xc1, 0x10, 0x6c, 0x2f, 0xaa, 0xca, 0x11, 0x87, 0x6a, 0xe2, 0xb1,
0xf6, 0x31, 0x76, 0xb0, 0xdc, 0x30, 0x8a, 0x97, 0x7d, 0xdc, 0xe4, 0xd1,
0x18, 0xe9, 0x03, 0x91, 0xf5, 0xd2, 0x94, 0x4d, 0x71, 0xf7, 0x35, 0xc8,
0x3e, 0x46, 0xaf, 0xa3, 0xeb, 0x35, 0x07, 0x01, 0x77, 0xc5, 0x58, 0xca,
0x82, 0x67, 0x3e, 0x4f, 0x01, 0x88, 0xa4, 0xa0, 0xea, 0x0a, 0xb7, 0x13,
0x06, 0xbe, 0xb6, 0x61, 0xa4, 0xa2, 0x28, 0xe2, 0x32, 0xcf, 0x25, 0x46,
0xcf, 0xce, 0xf5, 0x57, 0x9b, 0x74, 0x8f, 0xfd, 0xbc, 0xfa, 0x3a, 0xa2,
0x18, 0x22, 0xf1, 0xb1, 0x43, 0x12, 0xe8, 0xe2, 0xe3, 0x06, 0xe6, 0x1c,
0xa7, 0x76, 0x2d, 0x0d, 0xe5, 0x5f, 0xbd, 0x8f, 0xa0, 0x95, 0xcd, 0xe9,
0x28, 0xdb, 0xcc, 0xe5, 0x66, 0x33, 0xd4, 0x4b, 0xf9, 0x0c, 0x42, 0x9b,
0x27, 0xee, 0x11, 0xd0, 0xe3, 0x0b, 0x9d, 0xce, 0x2c, 0x91, 0x7a, 0x0e,
0xb8, 0xde, 0x31, 0x73, 0x86, 0x8e, 0x34, 0x59, 0x93, 0x2e, 0x37, 0x9d,
0xc2, 0x3e, 0x89, 0x0b, 0x47, 0xff, 0xa6, 0x55, 0x21, 0xe6, 0x4f, 0x72,
0x7c, 0xcc, 0xe5, 0xb8, 0x18, 0x2c, 0x10, 0xcb, 0xce, 0x48, 0xa5, 0xc5,
0x26, 0xb6, 0x19, 0x76, 0xc5, 0x38, 0xf0, 0x38, 0x72, 0xec, 0x22, 0xf9,
0x25, 0xde, 0x1c, 0x0c, 0x1b, 0x3e, 0x43, 0xc5, 0x5c, 0x8c, 0xdb, 0xf1,
0x42, 0x66, 0xbc, 0xdf, 0xa0, 0x82, 0x4b, 0xec, 0xe1, 0x50, 0x42, 0x57,
0x84, 0x60, 0xfd, 0x89, 0x12, 0x1b, 0xf6, 0xf9, 0x4d, 0x0d, 0x16, 0xe8,
0xa4, 0xe2, 0x67, 0x2c, 0x8f, 0x22, 0xea, 0xba, 0x46, 0x34, 0xce, 0x97,
0x8b, 0x4c, 0x38, 0x0e, 0x16, 0x82, 0xb6, 0xf3, 0x34, 0x38, 0x07, 0x87,
0x73, 0x2a, 0x3d, 0x80, 0x56, 0x4b, 0x85, 0x67, 0xca, 0x2a, 0x19, 0xb6,
0xb6, 0x2c, 0xfe, 0xd8, 0x02, 0xe5, 0xad, 0xd0, 0x61, 0x79, 0x73, 0xab,
0xda, 0x3b, 0xa4, 0x51, 0xb3, 0xf7, 0x85, 0x99, 0xb2, 0xd0, 0x64, 0x97,
0xb7, 0x3c, 0x0e, 0x58, 0xdf, 0xd2, 0x98, 0x98, 0x18, 0x1a, 0xf5, 0x59,
0xcd, 0xc5, 0x48, 0x17, 0x10, 0x9f, 0xd8, 0x19, 0xbd, 0xd0, 0x42, 0x71,
0x1c, 0x30, 0xc6, 0x76, 0xe9, 0xb0, 0xee, 0xf5, 0x38, 0x05, 0xbe, 0x9b,
0x6c, 0x0d, 0xb0, 0xd0, 0xda, 0x1c, 0x89, 0xbd, 0x40, 0x5d, 0xc2, 0x5a,
0xbe, 0x83, 0xa6, 0xb5, 0x47, 0xa7, 0xf8, 0xb9, 0xbf, 0xa2, 0x65, 0x17,
0x1e, 0xd8, 0x28, 0x42, 0xbe, 0xb0, 0x35, 0xf6, 0x7b, 0x88, 0x38, 0xbe,
0xf5, 0xb5, 0x1b, 0x63, 0x7a, 0x83, 0x92, 0x0d, 0x64, 0xad, 0x92, 0x59,
0x97, 0x55, 0x5c, 0x60, 0xab, 0x48, 0x8e, 0x23, 0x27, 0x22, 0x75, 0x3b,
0x7c, 0x9c, 0x69, 0x13, 0x52, 0x6b, 0xae, 0xfd, 0x38, 0xe5, 0x4b, 0x36,
0x78, 0x55, 0x92, 0xb5, 0x8f, 0x25, 0xde, 0x0e, 0x93, 0xe3, 0x1d, 0x83,
0x62, 0x05, 0x6a, 0x5a, 0xff, 0x7f, 0x77, 0xf7, 0x1b, 0xfc, 0x21, 0x45,
0xf7, 0xb8, 0xfa, 0xcb, 0x00, 0x5e, 0x85, 0xf9, 0x2f, 0x15, 0x2f, 0xcf,
0x17, 0x9e, 0x84, 0xf6, 0xf5, 0x15, 0x6e, 0xdd, 0xb4, 0x73, 0x44, 0xc2,
0x2c, 0x74, 0xae, 0x27, 0x5f, 0x19, 0xe7, 0x51, 0x61, 0xc1, 0x82, 0xce,
0xf1, 0x5b, 0xa0, 0x6f, 0x0b, 0x13, 0x10, 0x68, 0xb7, 0xee, 0xfb, 0x8a,
0x85, 0xe2, 0xd6, 0x17, 0x55, 0x26, 0xa5, 0xc5, 0xb3, 0x94, 0x45, 0xdf,
0x49, 0xe6, 0x50, 0xf8, 0x99, 0xd8, 0x3c, 0xcb, 0x94, 0x80, 0x67, 0x3b,
0x73, 0xac, 0xf6, 0x46, 0x31, 0x63, 0xb3, 0x1b, 0x47, 0xce, 0x40, 0x3f,
0x8c, 0xd0, 0x82, 0xc4, 0x79, 0x3a, 0x7c, 0x48, 0x10, 0xe3, 0x97, 0x98,
0xdc, 0x0b, 0x62, 0x42, 0xfa, 0x26, 0x05, 0xf6, 0x8c, 0x32, 0xa9, 0xb6,
0x2c, 0x4f, 0x85, 0xd2, 0x9b, 0xf3, 0x89, 0x1f, 0x91, 0xca, 0x12, 0x3d,
0xe2, 0xa8, 0x0b, 0xca, 0x64, 0x28, 0x0e, 0xa7, 0xfd, 0xd8, 0xa3, 0xcb,
0x0a, 0xd9, 0x97, 0x2d, 0xc3, 0xf2, 0x39, 0x74, 0xdb, 0xe3, 0x9a, 0x87,
0x1a, 0xe0, 0x33, 0xe3, 0x92, 0xe8, 0xde, 0xb5, 0x08, 0x28, 0xcb, 0xd7,
0xb6, 0x79, 0xec, 0x71, 0xcc, 0xe5, 0xd1, 0x4b, 0x89, 0x96, 0x5f, 0xfa,
0xfd, 0x4b, 0xd0, 0xa8, 0x66, 0x0d, 0xb4, 0xa7, 0x51, 0x56, 0xbc, 0xa7,
0x74, 0x07, 0x7f, 0xae, 0x0e, 0xf6, 0x9c, 0x13, 0xd9, 0xf2, 0xed, 0x12,
0xa9, 0x87, 0x3e, 0xb7, 0x9d, 0x53, 0x8a, 0x82, 0x2d, 0x03, 0x2f, 0xac,
0x94, 0x84, 0x95, 0x00, 0x29, 0x09, 0x01, 0x38, 0x62, 0xff, 0xaf, 0xfd,
0x10, 0x2b, 0x31, 0x03, 0xb2, 0x4f, 0x51, 0xfb, 0x76, 0x27, 0x1e, 0x25,
0x82, 0x79, 0x65, 0x69, 0xfa, 0x24, 0xaf, 0xcb, 0xe8, 0x40, 0x8d, 0x7d,
0xd2, 0x9a, 0x12, 0x69, 0x2f, 0xe4, 0xce, 0x99, 0x98, 0x4f, 0x6c, 0x46,
0xfd, 0x63, 0x40, 0x50, 0xef, 0x22, 0x02, 0x68, 0x2e, 0x53, 0xbb, 0x00,
0xa3, 0x65, 0x61, 0x3e, 0x97, 0xd4, 0x5f, 0xa2, 0xc1, 0x66, 0xcd, 0x04,
0xdc, 0xda, 0x55, 0x10, 0x28, 0x0d, 0x40, 0x11, 0xe6, 0x68, 0xed, 0x68,
0x38, 0x7d, 0x20, 0xc3, 0x97, 0x9d, 0xcb, 0x6e, 0x30, 0xfc, 0xbe, 0x63,
0xe7, 0x72, 0x47, 0x05, 0xf5, 0x0b, 0x7e, 0x66, 0x3b, 0xc5, 0x3a, 0x85,
0x5a, 0xa3, 0xc5, 0x72, 0x9d, 0xb9, 0xc1, 0xb4, 0x80, 0x98, 0x6e, 0x40,
0x86, 0xc9, 0xcb, 0xa3, 0xab, 0x77, 0xc2, 0x56, 0xfc, 0xcb, 0x6e, 0x12,
0xf5, 0x63, 0x62, 0xf8, 0xff, 0x91, 0x15, 0xa7, 0xa1, 0x5e, 0xb6, 0xee,
0x69, 0x4d, 0x5b, 0x5f, 0x4e, 0xfa, 0xd3, 0x61, 0xca, 0xec, 0x14, 0xfd,
0xd9, 0x10, 0xf5, 0x4a, 0x05, 0x5f, 0x29, 0xcb, 0x77, 0x2c, 0x2d, 0xe2,
0x90, 0x67, 0x62, 0x78, 0x75, 0xa9, 0x4e, 0x20, 0x00, 0x0c, 0x91, 0x84,
0xba, 0xed, 0x1c, 0xce, 0xbd, 0x57, 0x4f, 0xa5, 0x2f, 0x59, 0x6c, 0x4c,
0xdf, 0x5f, 0xaa, 0x32, 0xf0, 0x86, 0x09, 0x15, 0x36, 0xc6, 0xe6, 0x6a,
0x24, 0xb4, 0xb3, 0x09, 0xdd, 0x32, 0xc5, 0x95, 0xac, 0x60, 0xb5, 0x09,
0x97, 0x36, 0xa1, 0x3c, 0x8f, 0x0e, 0x90, 0x8e, 0xcd, 0xd0, 0x49, 0x75,
0xf7, 0xf3, 0x80, 0x80, 0xcb, 0x1f, 0xee, 0xf2, 0x6a, 0x2f, 0x19, 0x8c,
0xba, 0x10, 0x00, 0xda, 0x13, 0xef, 0x10, 0x2b, 0xb7, 0xef, 0xfd, 0xd1,
0xe0, 0x7c, 0xf8, 0x46, 0x01, 0x69, 0x9b, 0x99, 0x80, 0x51, 0x1f, 0x74,
0x3b, 0x67, 0x93, 0x18, 0x5e, 0xd4, 0x34, 0x6c, 0x81, 0x76, 0x02, 0xef,
0x91, 0xa4, 0x22, 0x2a, 0x23, 0x1b, 0x58, 0x43, 0x75, 0x65, 0x13, 0x87,
0x98, 0x60, 0x14, 0x25, 0x28, 0x67, 0xa3, 0x34, 0x8c, 0xe0, 0xd5, 0xd3,
0x51, 0x33, 0x68, 0xff, 0x65, 0x59, 0x5a, 0xa7, 0xb2, 0x6b, 0x01, 0xad,
0x70, 0x06, 0x73, 0x01, 0x51, 0x1b, 0xe1, 0xec, 0x28, 0x2f, 0x8a, 0x85,
0x5a, 0x10, 0xd0, 0x0e, 0x6b, 0x35, 0x45, 0x2e, 0x61, 0xdd, 0x77, 0x20,
0xb1, 0x35, 0x3b, 0xa8, 0xdd, 0x8a, 0xe2, 0x15, 0x79, 0x07,
};
uint8_t pub_bytes[HRSS_PUBLIC_KEY_BYTES];
HRSS_marshal_public_key(pub_bytes, &pub);
EXPECT_EQ(Bytes(pub_bytes), Bytes(kExpectedPub));
uint8_t encap_entropy[HRSS_ENCAP_BYTES];
for (size_t i = 0; i < sizeof(encap_entropy); i++) {
encap_entropy[i] = 31 + i;
}
uint8_t ciphertext[HRSS_CIPHERTEXT_BYTES];
uint8_t shared_key[HRSS_KEY_BYTES];
OPENSSL_STATIC_ASSERT(
sizeof(kExpectedPub) >= HRSS_ENCAP_BYTES,
"Private key too small to use as input to HRSS encapsulation");
HRSS_encap(ciphertext, shared_key, &pub, kExpectedPub);
HRSS_encap(ciphertext, shared_key, &pub, encap_entropy);
static const uint8_t kExpectedCiphertext[HRSS_CIPHERTEXT_BYTES] = {
0x8e, 0x6b, 0x46, 0x9d, 0x4a, 0xef, 0xa6, 0x8c, 0x28, 0x7b, 0xec, 0x6f,
0x13, 0x2d, 0x7f, 0x6c, 0xca, 0x7d, 0x9e, 0x6b, 0x54, 0x62, 0xa3, 0x13,
0xe1, 0x1e, 0x8f, 0x5f, 0x71, 0x67, 0xc4, 0x85, 0xdf, 0xd5, 0x6b, 0xbd,
0x86, 0x0f, 0x98, 0xec, 0xa5, 0x04, 0xf7, 0x7b, 0x2a, 0xbe, 0xcb, 0xac,
0x29, 0xbe, 0xe1, 0x0f, 0xbc, 0x62, 0x87, 0x85, 0x7f, 0x05, 0xae, 0xe4,
0x3f, 0x87, 0xfc, 0x1f, 0xf7, 0x45, 0x1e, 0xa3, 0xdb, 0xb1, 0xa0, 0x25,
0xba, 0x82, 0xec, 0xca, 0x8d, 0xab, 0x7a, 0x20, 0x03, 0xeb, 0xe5, 0x5c,
0x9f, 0xd0, 0x46, 0x78, 0xf1, 0x5a, 0xc7, 0x9e, 0xb4, 0x10, 0x6d, 0x37,
0xc0, 0x75, 0x08, 0xfb, 0xeb, 0xcb, 0xd8, 0x35, 0x21, 0x9b, 0x89, 0xa0,
0xaa, 0x87, 0x00, 0x66, 0x38, 0x37, 0x68, 0xa4, 0xa3, 0x93, 0x8e, 0x2b,
0xca, 0xf7, 0x7a, 0x43, 0xb2, 0x15, 0x79, 0x81, 0xce, 0xa9, 0x09, 0xcb,
0x29, 0xd4, 0xcc, 0xef, 0xf1, 0x9b, 0xbd, 0xe6, 0x63, 0xd5, 0x26, 0x0f,
0xe8, 0x8b, 0xdf, 0xf1, 0xc3, 0xb4, 0x18, 0x0e, 0xf2, 0x1d, 0x5d, 0x82,
0x9b, 0x1f, 0xf3, 0xca, 0x36, 0x2a, 0x26, 0x0a, 0x7f, 0xc4, 0x0d, 0xbd,
0x5b, 0x15, 0x1c, 0x18, 0x6c, 0x11, 0x4e, 0xec, 0x36, 0x01, 0xc1, 0x15,
0xab, 0xf7, 0x0b, 0x1a, 0xd3, 0xa1, 0xbd, 0x68, 0xc8, 0x59, 0xe7, 0x49,
0x5c, 0xd5, 0x4b, 0x8c, 0x31, 0xdb, 0xb3, 0xea, 0x88, 0x09, 0x2f, 0xb9,
0x8b, 0xfd, 0x96, 0x35, 0x88, 0x53, 0x72, 0x40, 0xcd, 0x89, 0x75, 0xb4,
0x20, 0xf6, 0xf6, 0xe5, 0x74, 0x19, 0x48, 0xaf, 0x4b, 0xaa, 0x42, 0xa4,
0xc8, 0x90, 0xee, 0xf3, 0x12, 0x04, 0x63, 0x90, 0x92, 0x8a, 0x89, 0xc3,
0xa0, 0x7e, 0xfe, 0x19, 0xb3, 0x54, 0x53, 0x83, 0xe9, 0xc1, 0x6c, 0xe3,
0x97, 0xa6, 0x27, 0xc3, 0x20, 0x9a, 0x79, 0x35, 0xc9, 0xb5, 0xc0, 0x90,
0xe1, 0x56, 0x84, 0x69, 0xc2, 0x54, 0x77, 0x52, 0x48, 0x55, 0x71, 0x3e,
0xcd, 0xa7, 0xd6, 0x25, 0x5d, 0x49, 0x13, 0xd2, 0x59, 0xd7, 0xe1, 0xd1,
0x70, 0x46, 0xa0, 0xd4, 0xee, 0x59, 0x13, 0x1f, 0x1a, 0xd3, 0x39, 0x7d,
0xb0, 0x79, 0xf7, 0xc0, 0x73, 0x5e, 0xbb, 0x08, 0xf7, 0x5c, 0xb0, 0x31,
0x41, 0x3d, 0x7b, 0x1e, 0xf0, 0xe6, 0x47, 0x5c, 0x37, 0xd5, 0x54, 0xf1,
0xbb, 0x64, 0xd7, 0x41, 0x8b, 0x34, 0x55, 0xaa, 0xc3, 0x5a, 0x9c, 0xa0,
0xcc, 0x29, 0x8e, 0x5a, 0x1a, 0x93, 0x5a, 0x49, 0xd3, 0xd0, 0xa0, 0x56,
0xda, 0x32, 0xa2, 0xa9, 0xa7, 0x13, 0x42, 0x93, 0x9b, 0x20, 0x32, 0x37,
0x5c, 0x3e, 0x03, 0xa5, 0x28, 0x10, 0x93, 0xdd, 0xa0, 0x04, 0x7b, 0x2a,
0xbd, 0x31, 0xc3, 0x6a, 0x89, 0x58, 0x6e, 0x55, 0x0e, 0xc9, 0x5c, 0x70,
0x07, 0x10, 0xf1, 0x9a, 0xbd, 0xfb, 0xd2, 0xb7, 0x94, 0x5b, 0x4f, 0x8d,
0x90, 0xfa, 0xee, 0xae, 0x37, 0x48, 0xc5, 0xf8, 0x16, 0xa1, 0x3b, 0x70,
0x03, 0x1f, 0x0e, 0xb8, 0xbd, 0x8d, 0x30, 0x4f, 0x95, 0x31, 0x0b, 0x9f,
0xfc, 0x80, 0xf8, 0xef, 0xa3, 0x3c, 0xbc, 0xe2, 0x23, 0x23, 0x3e, 0x2a,
0x55, 0x11, 0xe8, 0x2c, 0x17, 0xea, 0x1c, 0xbd, 0x1d, 0x2d, 0x1b, 0xd5,
0x16, 0x9e, 0x05, 0xfc, 0x89, 0x64, 0x50, 0x4d, 0x9a, 0x22, 0x50, 0xc6,
0x5a, 0xd9, 0x58, 0x99, 0x8f, 0xbd, 0xf2, 0x4f, 0x2c, 0xdb, 0x51, 0x6a,
0x86, 0xe2, 0xc6, 0x64, 0x8f, 0x54, 0x1a, 0xf2, 0xcb, 0x34, 0x88, 0x08,
0xbd, 0x2a, 0x8f, 0xec, 0x29, 0xf5, 0x22, 0x36, 0x83, 0x99, 0xb9, 0x71,
0x8c, 0x99, 0x5c, 0xec, 0x91, 0x78, 0xc1, 0xe2, 0x2d, 0xe9, 0xd1, 0x4d,
0xf5, 0x15, 0x93, 0x4d, 0x93, 0x92, 0x9f, 0x0f, 0x33, 0x5e, 0xcd, 0x58,
0x5f, 0x3d, 0x52, 0xb9, 0x38, 0x6a, 0x85, 0x63, 0x8b, 0x63, 0x29, 0xcb,
0x67, 0x12, 0x25, 0xc2, 0x44, 0xd7, 0xab, 0x1a, 0x24, 0xca, 0x3d, 0xca,
0x77, 0xce, 0x28, 0x68, 0x1a, 0x91, 0xed, 0x7b, 0xc9, 0x70, 0x84, 0xab,
0xe2, 0xd4, 0xf4, 0xac, 0x58, 0xf6, 0x70, 0x99, 0xfc, 0x99, 0x4d, 0xbd,
0xb4, 0x1b, 0x4f, 0x15, 0x86, 0x95, 0x08, 0xd1, 0x4e, 0x73, 0xa9, 0xbc,
0x6a, 0x8c, 0xbc, 0xb5, 0x4b, 0xe0, 0xee, 0x35, 0x24, 0xf9, 0x12, 0xf5,
0x88, 0x70, 0x50, 0x6c, 0xfe, 0x0d, 0x35, 0xbd, 0xf7, 0xc4, 0x2e, 0x39,
0x16, 0x30, 0x6c, 0xf3, 0xb2, 0x19, 0x44, 0xaa, 0xcb, 0x4a, 0xf6, 0x75,
0xb7, 0x09, 0xb9, 0xe1, 0x47, 0x71, 0x70, 0x5c, 0x05, 0x5f, 0x50, 0x50,
0x9c, 0xd0, 0xe3, 0xc7, 0x91, 0xee, 0x6b, 0xc7, 0x0f, 0x71, 0x1b, 0xc3,
0x48, 0x8b, 0xed, 0x15, 0x26, 0x8c, 0xc3, 0xd5, 0x54, 0x08, 0xcc, 0x33,
0x79, 0xc0, 0x9f, 0x49, 0xc8, 0x75, 0xef, 0xb6, 0xf3, 0x29, 0x89, 0xfd,
0x75, 0xd1, 0xda, 0x92, 0xc3, 0x13, 0xc6, 0x76, 0x51, 0x11, 0x40, 0x7b,
0x82, 0xf7, 0x30, 0x79, 0x49, 0x04, 0xe3, 0xbb, 0x61, 0x34, 0xa6, 0x58,
0x0b, 0x7d, 0xef, 0x3e, 0xf9, 0xb3, 0x8d, 0x2a, 0xba, 0xe9, 0xbc, 0xc0,
0xa7, 0xe6, 0x6c, 0xda, 0xf8, 0x8c, 0xdf, 0x8d, 0x96, 0x83, 0x2d, 0x80,
0x4f, 0x21, 0x81, 0xde, 0x57, 0x9d, 0x0a, 0x3c, 0xcc, 0xec, 0x3b, 0xb2,
0x25, 0x96, 0x3c, 0xea, 0xfd, 0x46, 0x26, 0xbe, 0x1c, 0x79, 0x82, 0x1d,
0xe0, 0x14, 0x22, 0x7c, 0x80, 0x3d, 0xbd, 0x05, 0x90, 0xfa, 0xaf, 0x7d,
0x70, 0x13, 0x43, 0x0f, 0x3d, 0xa0, 0x7f, 0x92, 0x3a, 0x53, 0x69, 0xe4,
0xb0, 0x10, 0x0d, 0xa7, 0x73, 0xa8, 0x8c, 0x74, 0xab, 0xd7, 0x78, 0x15,
0x45, 0xec, 0x6e, 0xc8, 0x8b, 0xa0, 0xba, 0x21, 0x6f, 0xf3, 0x08, 0xb8,
0xc7, 0x4f, 0x14, 0xf5, 0xcc, 0xfd, 0x39, 0xbc, 0x11, 0xf5, 0xb9, 0x11,
0xba, 0xf3, 0x11, 0x24, 0x74, 0x3e, 0x0c, 0x07, 0x4f, 0xac, 0x2a, 0xb2,
0xb1, 0x3c, 0x00, 0xfa, 0xbb, 0x8c, 0xd8, 0x7d, 0x17, 0x5b, 0x8d, 0x39,
0xc6, 0x23, 0x31, 0x32, 0x7d, 0x6e, 0x20, 0x38, 0xd0, 0xc3, 0x58, 0xe2,
0xb1, 0xfe, 0x53, 0x6b, 0xc7, 0x10, 0x13, 0x7e, 0xc6, 0x7c, 0x67, 0x59,
0x43, 0x70, 0x4a, 0x2d, 0x7f, 0x76, 0xde, 0xbd, 0x45, 0x43, 0x56, 0x60,
0xcd, 0xe9, 0x24, 0x7b, 0xb7, 0x41, 0xce, 0x56, 0xed, 0xd3, 0x74, 0x75,
0xcc, 0x9d, 0x48, 0x61, 0xc8, 0x19, 0x66, 0x08, 0xfb, 0x28, 0x60, 0x1f,
0x83, 0x11, 0xc0, 0x9b, 0xbd, 0x71, 0x53, 0x36, 0x01, 0x76, 0xa8, 0xc0,
0xdc, 0x1d, 0x18, 0x85, 0x19, 0x65, 0xce, 0xcf, 0x14, 0x2e, 0x6c, 0x32,
0x15, 0xbc, 0x2c, 0x5e, 0x8f, 0xfc, 0x3c, 0xf0, 0x2d, 0xf5, 0x5c, 0x04,
0xc9, 0x22, 0xf4, 0xc3, 0xb8, 0x57, 0x79, 0x52, 0x41, 0xfd, 0xff, 0xcd,
0x26, 0xa8, 0xc0, 0xd2, 0xe1, 0x71, 0xd6, 0xf1, 0xf4, 0x0c, 0xa8, 0xeb,
0x0c, 0x33, 0x40, 0x25, 0x73, 0xbb, 0x31, 0xda, 0x0c, 0xa6, 0xee, 0x0c,
0x41, 0x51, 0x94, 0x3c, 0x24, 0x27, 0x65, 0xe9, 0xb5, 0xc4, 0xe2, 0x88,
0xc0, 0x82, 0xd0, 0x72, 0xd9, 0x10, 0x4d, 0x7f, 0xc0, 0x88, 0x94, 0x41,
0x2d, 0x05, 0x09, 0xfb, 0x97, 0x31, 0x6e, 0xc1, 0xe9, 0xf4, 0x50, 0x70,
0xdc, 0x3f, 0x0a, 0x90, 0x46, 0x37, 0x60, 0x8c, 0xfb, 0x06, 0x6e, 0xde,
0x6f, 0xa7, 0x6b, 0xa3, 0x88, 0x18, 0x96, 0x93, 0x19, 0x87, 0xe7, 0x0a,
0x98, 0xf0, 0x13, 0x01, 0xab, 0x7c, 0xeb, 0x25, 0xa5, 0xe2, 0x98, 0x44,
0x7d, 0x09, 0xe2, 0x42, 0x33, 0xd4, 0xeb, 0xcc, 0x9b, 0x70, 0xf6, 0x0f,
0xf0, 0xb2, 0x99, 0xcc, 0x4f, 0x64, 0xc4, 0x69, 0x12, 0xea, 0x56, 0xfe,
0x50, 0x0e, 0x02, 0x1f, 0x6d, 0x7a, 0x79, 0x62, 0xaa, 0x2e, 0x52, 0xaf,
0xa3, 0xed, 0xcd, 0xa7, 0x45, 0xe6, 0x86, 0xed, 0xa1, 0x73, 0x5b, 0x1e,
0x49, 0x4f, 0x92, 0x50, 0x83, 0x99, 0x3c, 0xf4, 0xf6, 0xa8, 0x49, 0xd7,
0x08, 0xf7, 0xdc, 0x28, 0x2c, 0xe6, 0x22, 0x6f, 0xf8, 0xfa, 0xba, 0x9e,
0x0a, 0xcf, 0x72, 0x74, 0x76, 0x75, 0x99, 0x4d, 0x3d, 0x9a, 0x4c, 0x54,
0xcd, 0xf8, 0x54, 0xf0, 0xbd, 0x73, 0xe9, 0x4f, 0x29, 0xd0, 0xe1, 0x24,
0x94, 0x52, 0xd6, 0x60, 0x80, 0x71, 0x24, 0x95, 0x92, 0x01, 0x0e, 0xa9,
0x7e, 0x64, 0x2e, 0xed, 0x51, 0xcc, 0xd2, 0xff, 0xfd, 0x0b,
0xe0, 0xc0, 0x77, 0xeb, 0x7a, 0x48, 0x7d, 0x74, 0x4e, 0x4f, 0x6d, 0xb9,
0x5c, 0x18, 0xe9, 0x5b, 0x47, 0x6c, 0x78, 0x9d, 0x98, 0x02, 0x84, 0x9f,
0xf2, 0x45, 0x43, 0x86, 0x0e, 0xc6, 0x93, 0x48, 0xd8, 0x20, 0xff, 0x82,
0x38, 0x9e, 0x78, 0xb4, 0x2c, 0xb3, 0x42, 0xe4, 0xb3, 0xab, 0xdf, 0xed,
0x65, 0x24, 0x0c, 0xa5, 0x95, 0x2c, 0xbf, 0x4c, 0x28, 0xfc, 0xb8, 0xe7,
0xc6, 0xbc, 0x76, 0xa0, 0xf5, 0x3f, 0x29, 0x73, 0x23, 0xf1, 0x6c, 0x10,
0x7c, 0x08, 0x8e, 0x16, 0x3a, 0xda, 0x17, 0xa3, 0x0d, 0x46, 0x44, 0xee,
0x6f, 0x70, 0xf1, 0x88, 0x51, 0x35, 0x33, 0x91, 0x76, 0xeb, 0x98, 0xc1,
0x04, 0xdb, 0x97, 0xab, 0x88, 0xb9, 0x04, 0x87, 0xd9, 0xb8, 0x34, 0xd3,
0x38, 0xe7, 0x90, 0x05, 0x2e, 0x45, 0xe0, 0xac, 0x36, 0x0c, 0x59, 0x58,
0xb1, 0xf5, 0x65, 0x6d, 0x28, 0x1a, 0x39, 0xd9, 0xd2, 0x83, 0x17, 0xee,
0xeb, 0x6f, 0x7d, 0x29, 0x3c, 0x79, 0xcf, 0x48, 0xf1, 0x6d, 0x35, 0xc2,
0x8c, 0xe8, 0x67, 0x18, 0xcc, 0x9d, 0x9b, 0x8d, 0x07, 0x7a, 0x4e, 0x56,
0xa8, 0x00, 0x2e, 0x67, 0x67, 0xbb, 0xc1, 0xda, 0x4a, 0x7b, 0x9f, 0xa6,
0x4a, 0x5c, 0x40, 0xcc, 0xe4, 0xdd, 0xf5, 0xc0, 0x44, 0xfe, 0xa5, 0xa2,
0x1c, 0xdc, 0xf2, 0x31, 0xf4, 0x01, 0x1f, 0x69, 0x15, 0x7e, 0x8c, 0x54,
0xb6, 0x47, 0x0c, 0x1d, 0x9f, 0x1a, 0xfa, 0xf7, 0x46, 0xa3, 0xcb, 0x34,
0x2c, 0x18, 0x45, 0x65, 0xc4, 0xf2, 0x0e, 0xf8, 0xc7, 0x96, 0x1d, 0x29,
0x5c, 0x90, 0xd3, 0xdf, 0xb2, 0x8e, 0x21, 0xf9, 0x15, 0x40, 0x7e, 0xd3,
0x84, 0x52, 0x1d, 0xd9, 0xee, 0xed, 0xe8, 0x71, 0x1c, 0xdb, 0x48, 0xf5,
0x20, 0x82, 0xc4, 0x61, 0xfd, 0x6d, 0x71, 0x9f, 0xd8, 0x03, 0x90, 0x8e,
0xfc, 0xed, 0x4d, 0xab, 0x6e, 0xb2, 0xe9, 0x66, 0xfd, 0xcc, 0x3a, 0xa3,
0x99, 0x53, 0x35, 0x76, 0xea, 0x08, 0x88, 0xba, 0xf0, 0xb7, 0x53, 0xf3,
0x4c, 0x1a, 0x8f, 0x7f, 0xe4, 0x1b, 0x8b, 0xfc, 0x99, 0x3e, 0x4c, 0xa9,
0xd9, 0x17, 0x10, 0x64, 0x60, 0xfd, 0x81, 0x76, 0xe6, 0x37, 0xb0, 0xe3,
0x3e, 0xc0, 0xf7, 0x06, 0x7e, 0x34, 0xa5, 0xf4, 0xb9, 0x5f, 0x66, 0xe6,
0x81, 0xc8, 0x5e, 0xb2, 0x26, 0x6b, 0x8c, 0xad, 0xd0, 0x94, 0x01, 0x22,
0xf6, 0xbe, 0x1a, 0x0b, 0x34, 0xfc, 0x33, 0xc0, 0x84, 0xa5, 0xe0, 0x12,
0x8a, 0x08, 0xae, 0x8a, 0xaf, 0x55, 0x0c, 0x34, 0x4b, 0x2b, 0xdd, 0xa3,
0x7c, 0xc0, 0xed, 0xe8, 0x8d, 0x98, 0x47, 0x7c, 0x81, 0x25, 0x1b, 0x9f,
0x08, 0x26, 0x9d, 0xfc, 0x19, 0x8e, 0x39, 0xc4, 0x1a, 0x3c, 0x42, 0x70,
0x49, 0x37, 0x57, 0x87, 0x0f, 0x76, 0xb1, 0xc4, 0xbe, 0x25, 0x5e, 0x1c,
0x06, 0x57, 0xc6, 0x88, 0x34, 0x28, 0xdf, 0x60, 0x33, 0x09, 0xc5, 0xcc,
0xf4, 0xc4, 0x33, 0x85, 0x8b, 0x48, 0xe8, 0x27, 0xb7, 0x72, 0x22, 0x44,
0xff, 0xe7, 0x89, 0xf9, 0x71, 0x99, 0xed, 0x62, 0x47, 0xb0, 0x22, 0x9e,
0xa6, 0x7c, 0xaf, 0xa9, 0x98, 0x2b, 0x5c, 0x8a, 0x42, 0x34, 0x77, 0xa3,
0xc8, 0x13, 0x1e, 0xcf, 0x32, 0xa7, 0x70, 0xa8, 0xad, 0xc1, 0x66, 0x5c,
0x8f, 0xaf, 0x14, 0x6d, 0xc4, 0x45, 0x05, 0xcd, 0xcb, 0x80, 0xfa, 0x0e,
0xa6, 0xca, 0x72, 0x86, 0xd2, 0xb7, 0x39, 0x26, 0x77, 0xf8, 0x14, 0xd0,
0xcd, 0xdd, 0xf7, 0xdc, 0xda, 0x25, 0x8e, 0x3c, 0x21, 0xfd, 0xef, 0x92,
0xee, 0x52, 0xf7, 0xc3, 0xc7, 0xe2, 0x2d, 0x1c, 0x57, 0x5a, 0xba, 0xd8,
0xaa, 0x0d, 0x09, 0xa7, 0xb3, 0xcc, 0xa1, 0x5d, 0xdb, 0x04, 0x21, 0x82,
0xef, 0xba, 0xc2, 0xc8, 0x54, 0xb1, 0xbe, 0xd7, 0x2a, 0x91, 0xd8, 0xeb,
0x72, 0x54, 0xc1, 0x74, 0x24, 0x24, 0x5a, 0x03, 0xf7, 0xcd, 0xab, 0x91,
0xd1, 0x63, 0xf1, 0x60, 0x9f, 0x22, 0x07, 0xad, 0x10, 0x2b, 0x97, 0x1c,
0x6f, 0xce, 0xc0, 0x29, 0xc2, 0xb2, 0xb8, 0x1b, 0xbd, 0x14, 0xc8, 0xb9,
0x80, 0x66, 0xc1, 0x86, 0xfc, 0x93, 0x5f, 0x6e, 0x0b, 0x7a, 0x7b, 0x8e,
0x42, 0x8c, 0x08, 0xd1, 0x60, 0xb9, 0xf8, 0x66, 0x24, 0x7d, 0x88, 0x58,
0x2f, 0xd2, 0x52, 0x75, 0x3a, 0x8a, 0x1c, 0xfa, 0x1e, 0xa1, 0x1c, 0x91,
0x46, 0x79, 0x9a, 0xe5, 0x8a, 0xdd, 0xc2, 0x75, 0xed, 0x0d, 0xb8, 0x2b,
0x4f, 0x8f, 0x95, 0xca, 0xce, 0x21, 0xa4, 0x7a, 0x0d, 0x14, 0x7f, 0x2d,
0x98, 0xf0, 0x88, 0xc3, 0x6f, 0xad, 0xb5, 0x04, 0x24, 0x91, 0x41, 0x65,
0xd3, 0xa5, 0x7e, 0xfb, 0x53, 0x1c, 0xcc, 0xd0, 0xf7, 0x7c, 0x91, 0x08,
0x0e, 0xdd, 0xd4, 0x6c, 0x73, 0xaa, 0xa5, 0x7a, 0xd2, 0x24, 0xc9, 0x3b,
0x6f, 0xda, 0x06, 0x8a, 0xdb, 0x2e, 0xa8, 0xe9, 0xe1, 0x3e, 0x08, 0xee,
0xbe, 0x96, 0x65, 0x72, 0x68, 0x6f, 0xf7, 0x50, 0xe7, 0xa7, 0x18, 0xda,
0xc2, 0x94, 0xda, 0xe3, 0xbc, 0xca, 0x03, 0xd8, 0xf7, 0x7a, 0xcc, 0x44,
0xa1, 0x60, 0xa8, 0x7f, 0xdc, 0xef, 0x80, 0xf4, 0x62, 0xc6, 0x06, 0x4e,
0xb6, 0xac, 0x77, 0x17, 0xb7, 0xb3, 0x3e, 0xf8, 0x6d, 0x8a, 0x61, 0x83,
0x3a, 0xfd, 0xbb, 0x93, 0x5b, 0x1a, 0x33, 0xf8, 0xee, 0x7d, 0x9e, 0x5c,
0xf8, 0xc9, 0xd5, 0x3e, 0x3d, 0x42, 0x9b, 0xe5, 0x0d, 0xec, 0xc9, 0x0f,
0x6f, 0x03, 0xb0, 0x41, 0x85, 0xb9, 0xfe, 0xf9, 0xb1, 0xb4, 0xc3, 0xd9,
0x13, 0x03, 0xfa, 0x0d, 0xe7, 0xd1, 0xb4, 0xc8, 0xf6, 0xb5, 0x11, 0x7a,
0x92, 0x09, 0x21, 0x7b, 0xa9, 0x89, 0x4c, 0x19, 0x90, 0x0d, 0x96, 0x32,
0x4f, 0x77, 0xfc, 0x7f, 0x8c, 0xa3, 0x39, 0x2a, 0x56, 0xe6, 0x5c, 0xd1,
0x86, 0x0a, 0x72, 0xf4, 0xa3, 0x1b, 0xa5, 0x30, 0x04, 0x3c, 0x15, 0x20,
0x4b, 0xe4, 0x2d, 0x1a, 0xf1, 0x44, 0x48, 0xfc, 0xda, 0xc1, 0x41, 0xdb,
0x71, 0xfd, 0x92, 0x00, 0x53, 0xe4, 0x70, 0xd0, 0xba, 0xf6, 0xef, 0x17,
0x72, 0xb8, 0xea, 0x6d, 0x41, 0x16, 0x4d, 0x1f, 0x59, 0x18, 0xbd, 0x1f,
0xc5, 0x6b, 0x6a, 0x6c, 0x2e, 0xa6, 0x1a, 0x33, 0x74, 0x8b, 0xc5, 0x9f,
0x16, 0x01, 0x77, 0x7e, 0x37, 0xe7, 0x63, 0xe1, 0xa3, 0x8c, 0x1f, 0x71,
0xe9, 0x4f, 0xad, 0x15, 0x8b, 0xf3, 0xc9, 0xac, 0xdc, 0x19, 0xad, 0x92,
0x18, 0x00, 0xf6, 0xa1, 0xd5, 0x97, 0xa3, 0x3d, 0x9e, 0x78, 0x02, 0xc3,
0x8f, 0x75, 0xd8, 0xad, 0x22, 0xbf, 0xef, 0x19, 0x5d, 0x15, 0x34, 0x1a,
0x7c, 0x9b, 0xaf, 0xd4, 0xf2, 0xf9, 0x5f, 0x72, 0x88, 0x9c, 0xe4, 0x58,
0xda, 0x46, 0x8f, 0x79, 0x30, 0x2b, 0xd9, 0x3b, 0xbc, 0xab, 0x28, 0x77,
0x75, 0x0e, 0x2c, 0x23, 0x47, 0x95, 0x14, 0xeb, 0xf0, 0x4a, 0x3e, 0x53,
0x93, 0xa7, 0xf4, 0x82, 0x9c, 0x34, 0x8b, 0x80, 0x42, 0xb2, 0xa7, 0xb0,
0x7c, 0x6c, 0xe1, 0x07, 0xf4, 0x34, 0x3e, 0xed, 0x33, 0x9c, 0xb3, 0xde,
0xa5, 0x91, 0x61, 0x25, 0x8e, 0x8c, 0x54, 0x56, 0xbe, 0x1a, 0xac, 0x17,
0xd2, 0x7a, 0xa4, 0x12, 0x54, 0x2a, 0x51, 0xd0, 0x0e, 0xd1, 0xc1, 0x44,
0x50, 0x05, 0x39, 0xa7, 0xb6, 0x14, 0x45, 0xca, 0xf8, 0x5f, 0x06, 0x6b,
0x5d, 0x5e, 0xc7, 0xe9, 0x27, 0x6f, 0x38, 0xe0, 0x31, 0xcf, 0xf8, 0xcc,
0x2e, 0xb9, 0x4a, 0x10, 0x1b, 0xb4, 0x34, 0x4b, 0x90, 0xbb, 0xf2, 0xe0,
0x3c, 0x79, 0x7f, 0x39, 0x59, 0x0c, 0x01, 0x4c, 0x0d, 0x2d, 0x71, 0xf1,
0xbd, 0xda, 0x1a, 0x78, 0xcf, 0x26, 0x6f, 0xb5, 0xa9, 0x07, 0x20, 0xe6,
0x8c, 0xd0, 0xad, 0xd4, 0xca, 0x24, 0x6c, 0xc5, 0x28, 0x1d, 0xfb, 0xcc,
0xe7, 0x93, 0x72, 0x99, 0x61, 0x63, 0x60, 0x4c, 0x5c, 0xa9, 0xb6, 0x15,
0x32, 0xa4, 0xbc, 0x1f, 0xf6, 0x63, 0x61, 0x2c, 0x26, 0xa7, 0x0e, 0x5f,
0x1b, 0x25, 0xce, 0x3f, 0x64, 0xdf, 0x6d, 0xb0, 0x8f, 0xd2, 0xe9, 0x3b,
0x35, 0xd0, 0x59, 0x81, 0x22, 0xf1, 0x65, 0x86, 0x15, 0x10, 0xe8, 0xa7,
0xa1, 0x6f, 0xb4, 0x34, 0x1c, 0x79, 0xd5, 0x9e, 0x8d, 0xc8, 0xa5, 0xbb,
0x82, 0x71, 0x81, 0x00, 0x34, 0x55, 0x6b, 0x96, 0x56, 0x13, 0x0e, 0xe7,
0x39, 0xa2, 0x6f, 0xbe, 0x54, 0x2a, 0x13, 0x03, 0x13, 0xd2, 0x1d, 0x71,
0x9a, 0xbe, 0x09, 0x00, 0xe1, 0x8d, 0x59, 0xb5, 0x44, 0x02,
};
EXPECT_EQ(Bytes(ciphertext), Bytes(kExpectedCiphertext));
static const uint8_t kExpectedSharedKey[HRSS_KEY_BYTES] = {
0xbc, 0x98, 0x9c, 0x9c, 0x1f, 0x57, 0x6f, 0x38, 0x0b, 0x5d, 0xc2,
0x23, 0x7d, 0x01, 0xae, 0x63, 0x17, 0xe8, 0xe4, 0xb2, 0x02, 0xa7,
0xc4, 0x3a, 0x1b, 0x5a, 0xf3, 0xf8, 0xb5, 0xea, 0x6e, 0x22,
0x57, 0xf2, 0x77, 0xb2, 0xf3, 0x7f, 0xd0, 0x71, 0xb6, 0x7e, 0x64,
0x0f, 0x85, 0x1f, 0x6d, 0x3b, 0xd1, 0x7a, 0x6e, 0x01, 0x04, 0xde,
0x0f, 0x9e, 0x03, 0x95, 0x55, 0x60, 0xce, 0xda, 0x32, 0x71,
};
EXPECT_EQ(Bytes(shared_key), Bytes(kExpectedSharedKey));
@ -472,9 +473,9 @@ TEST(HRSS, Golden) {
HRSS_decap(shared_key, &priv, ciphertext, sizeof(ciphertext));
static const uint8_t kExpectedFailureKey[HRSS_KEY_BYTES] = {
0x8e, 0x19, 0xfe, 0x2b, 0x12, 0x67, 0xef, 0x9a, 0x63, 0x4d, 0x79,
0x33, 0x8c, 0xce, 0xbf, 0x03, 0xdb, 0x9c, 0xc4, 0xc1, 0x70, 0xe1,
0x32, 0xa6, 0xb3, 0xd3, 0xa1, 0x43, 0x3c, 0xf1, 0x1f, 0x5a,
0x13, 0xf7, 0xed, 0x51, 0x00, 0xbc, 0xca, 0x29, 0xdf, 0xb0, 0xd0,
0x5e, 0xa1, 0x9d, 0x15, 0xb2, 0xf6, 0x23, 0x94, 0xfd, 0x93, 0x74,
0x14, 0x46, 0x85, 0x61, 0x8b, 0x87, 0x30, 0xd3, 0x8d, 0xad,
};
EXPECT_EQ(Bytes(shared_key), Bytes(kExpectedFailureKey));
}

5
include/openssl/hrss.h
View File

@ -38,9 +38,8 @@ struct HRSS_public_key {
// HRSS_SAMPLE_BYTES is the number of bytes of entropy needed to generate a
// short vector. There are 701 coefficients, but the final one is always set to
// zero when sampling. Otherwise, one byte of input is enough to generate two
// coefficients.
#define HRSS_SAMPLE_BYTES ((701 - 1) / 2)
// zero when sampling. Otherwise, we need one byte of input per coefficient.
#define HRSS_SAMPLE_BYTES (701 - 1)
// HRSS_GENERATE_KEY_BYTES is the number of bytes of entropy needed to generate
// an HRSS key pair.
#define HRSS_GENERATE_KEY_BYTES (HRSS_SAMPLE_BYTES + HRSS_SAMPLE_BYTES + 32)