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authorEric Biggers <ebiggers@google.com>2018-11-16 17:26:29 -0800
committerHerbert Xu <herbert@gondor.apana.org.au>2018-11-20 14:26:56 +0800
commit26609a21a9460145e37d90947ad957b358a05288 (patch)
tree9f45456ea58fde4464ea71910acf0faf55214555
parent1b6fd3d5d18bbc1b1abf3b0cbc4b95a9a63d407b (diff)
crypto: nhpoly1305 - add NHPoly1305 support
Add a generic implementation of NHPoly1305, an ε-almost-∆-universal hash function used in the Adiantum encryption mode. CONFIG_NHPOLY1305 is not selectable by itself since there won't be any real reason to enable it without also enabling Adiantum support. Signed-off-by: Eric Biggers <ebiggers@google.com> Acked-by: Ard Biesheuvel <ard.biesheuvel@linaro.org> Signed-off-by: Herbert Xu <herbert@gondor.apana.org.au>
-rw-r--r--crypto/Kconfig5
-rw-r--r--crypto/Makefile1
-rw-r--r--crypto/nhpoly1305.c254
-rw-r--r--crypto/testmgr.c6
-rw-r--r--crypto/testmgr.h1240
-rw-r--r--include/crypto/nhpoly1305.h74
6 files changed, 1576 insertions, 4 deletions
diff --git a/crypto/Kconfig b/crypto/Kconfig
index 4431c0db56b7..eaeb8a986b7d 100644
--- a/crypto/Kconfig
+++ b/crypto/Kconfig
@@ -496,6 +496,11 @@ config CRYPTO_KEYWRAP
Support for key wrapping (NIST SP800-38F / RFC3394) without
padding.
+config CRYPTO_NHPOLY1305
+ tristate
+ select CRYPTO_HASH
+ select CRYPTO_POLY1305
+
comment "Hash modes"
config CRYPTO_CMAC
diff --git a/crypto/Makefile b/crypto/Makefile
index 102e8525814f..c3310c85f09f 100644
--- a/crypto/Makefile
+++ b/crypto/Makefile
@@ -85,6 +85,7 @@ obj-$(CONFIG_CRYPTO_LRW) += lrw.o
obj-$(CONFIG_CRYPTO_XTS) += xts.o
obj-$(CONFIG_CRYPTO_CTR) += ctr.o
obj-$(CONFIG_CRYPTO_KEYWRAP) += keywrap.o
+obj-$(CONFIG_CRYPTO_NHPOLY1305) += nhpoly1305.o
obj-$(CONFIG_CRYPTO_GCM) += gcm.o
obj-$(CONFIG_CRYPTO_CCM) += ccm.o
obj-$(CONFIG_CRYPTO_CHACHA20POLY1305) += chacha20poly1305.o
diff --git a/crypto/nhpoly1305.c b/crypto/nhpoly1305.c
new file mode 100644
index 000000000000..c8385853f699
--- /dev/null
+++ b/crypto/nhpoly1305.c
@@ -0,0 +1,254 @@
+// SPDX-License-Identifier: GPL-2.0
+/*
+ * NHPoly1305 - ε-almost-∆-universal hash function for Adiantum
+ *
+ * Copyright 2018 Google LLC
+ */
+
+/*
+ * "NHPoly1305" is the main component of Adiantum hashing.
+ * Specifically, it is the calculation
+ *
+ * H_M ← Poly1305_{K_M}(NH_{K_N}(pad_{128}(M)))
+ *
+ * from the procedure in section A.5 of the Adiantum paper [1]. It is an
+ * ε-almost-∆-universal (εA∆U) hash function for equal-length inputs over
+ * Z/(2^{128}Z), where the "∆" operation is addition. It hashes 1024-byte
+ * chunks of the input with the NH hash function [2], reducing the input length
+ * by 32x. The resulting NH digests are evaluated as a polynomial in
+ * GF(2^{130}-5), like in the Poly1305 MAC [3]. Note that the polynomial
+ * evaluation by itself would suffice to achieve the εA∆U property; NH is used
+ * for performance since it's over twice as fast as Poly1305.
+ *
+ * This is *not* a cryptographic hash function; do not use it as such!
+ *
+ * [1] Adiantum: length-preserving encryption for entry-level processors
+ * (https://eprint.iacr.org/2018/720.pdf)
+ * [2] UMAC: Fast and Secure Message Authentication
+ * (https://fastcrypto.org/umac/umac_proc.pdf)
+ * [3] The Poly1305-AES message-authentication code
+ * (https://cr.yp.to/mac/poly1305-20050329.pdf)
+ */
+
+#include <asm/unaligned.h>
+#include <crypto/algapi.h>
+#include <crypto/internal/hash.h>
+#include <crypto/nhpoly1305.h>
+#include <linux/crypto.h>
+#include <linux/kernel.h>
+#include <linux/module.h>
+
+static void nh_generic(const u32 *key, const u8 *message, size_t message_len,
+ __le64 hash[NH_NUM_PASSES])
+{
+ u64 sums[4] = { 0, 0, 0, 0 };
+
+ BUILD_BUG_ON(NH_PAIR_STRIDE != 2);
+ BUILD_BUG_ON(NH_NUM_PASSES != 4);
+
+ while (message_len) {
+ u32 m0 = get_unaligned_le32(message + 0);
+ u32 m1 = get_unaligned_le32(message + 4);
+ u32 m2 = get_unaligned_le32(message + 8);
+ u32 m3 = get_unaligned_le32(message + 12);
+
+ sums[0] += (u64)(u32)(m0 + key[ 0]) * (u32)(m2 + key[ 2]);
+ sums[1] += (u64)(u32)(m0 + key[ 4]) * (u32)(m2 + key[ 6]);
+ sums[2] += (u64)(u32)(m0 + key[ 8]) * (u32)(m2 + key[10]);
+ sums[3] += (u64)(u32)(m0 + key[12]) * (u32)(m2 + key[14]);
+ sums[0] += (u64)(u32)(m1 + key[ 1]) * (u32)(m3 + key[ 3]);
+ sums[1] += (u64)(u32)(m1 + key[ 5]) * (u32)(m3 + key[ 7]);
+ sums[2] += (u64)(u32)(m1 + key[ 9]) * (u32)(m3 + key[11]);
+ sums[3] += (u64)(u32)(m1 + key[13]) * (u32)(m3 + key[15]);
+ key += NH_MESSAGE_UNIT / sizeof(key[0]);
+ message += NH_MESSAGE_UNIT;
+ message_len -= NH_MESSAGE_UNIT;
+ }
+
+ hash[0] = cpu_to_le64(sums[0]);
+ hash[1] = cpu_to_le64(sums[1]);
+ hash[2] = cpu_to_le64(sums[2]);
+ hash[3] = cpu_to_le64(sums[3]);
+}
+
+/* Pass the next NH hash value through Poly1305 */
+static void process_nh_hash_value(struct nhpoly1305_state *state,
+ const struct nhpoly1305_key *key)
+{
+ BUILD_BUG_ON(NH_HASH_BYTES % POLY1305_BLOCK_SIZE != 0);
+
+ poly1305_core_blocks(&state->poly_state, &key->poly_key, state->nh_hash,
+ NH_HASH_BYTES / POLY1305_BLOCK_SIZE);
+}
+
+/*
+ * Feed the next portion of the source data, as a whole number of 16-byte
+ * "NH message units", through NH and Poly1305. Each NH hash is taken over
+ * 1024 bytes, except possibly the final one which is taken over a multiple of
+ * 16 bytes up to 1024. Also, in the case where data is passed in misaligned
+ * chunks, we combine partial hashes; the end result is the same either way.
+ */
+static void nhpoly1305_units(struct nhpoly1305_state *state,
+ const struct nhpoly1305_key *key,
+ const u8 *src, unsigned int srclen, nh_t nh_fn)
+{
+ do {
+ unsigned int bytes;
+
+ if (state->nh_remaining == 0) {
+ /* Starting a new NH message */
+ bytes = min_t(unsigned int, srclen, NH_MESSAGE_BYTES);
+ nh_fn(key->nh_key, src, bytes, state->nh_hash);
+ state->nh_remaining = NH_MESSAGE_BYTES - bytes;
+ } else {
+ /* Continuing a previous NH message */
+ __le64 tmp_hash[NH_NUM_PASSES];
+ unsigned int pos;
+ int i;
+
+ pos = NH_MESSAGE_BYTES - state->nh_remaining;
+ bytes = min(srclen, state->nh_remaining);
+ nh_fn(&key->nh_key[pos / 4], src, bytes, tmp_hash);
+ for (i = 0; i < NH_NUM_PASSES; i++)
+ le64_add_cpu(&state->nh_hash[i],
+ le64_to_cpu(tmp_hash[i]));
+ state->nh_remaining -= bytes;
+ }
+ if (state->nh_remaining == 0)
+ process_nh_hash_value(state, key);
+ src += bytes;
+ srclen -= bytes;
+ } while (srclen);
+}
+
+int crypto_nhpoly1305_setkey(struct crypto_shash *tfm,
+ const u8 *key, unsigned int keylen)
+{
+ struct nhpoly1305_key *ctx = crypto_shash_ctx(tfm);
+ int i;
+
+ if (keylen != NHPOLY1305_KEY_SIZE)
+ return -EINVAL;
+
+ poly1305_core_setkey(&ctx->poly_key, key);
+ key += POLY1305_BLOCK_SIZE;
+
+ for (i = 0; i < NH_KEY_WORDS; i++)
+ ctx->nh_key[i] = get_unaligned_le32(key + i * sizeof(u32));
+
+ return 0;
+}
+EXPORT_SYMBOL(crypto_nhpoly1305_setkey);
+
+int crypto_nhpoly1305_init(struct shash_desc *desc)
+{
+ struct nhpoly1305_state *state = shash_desc_ctx(desc);
+
+ poly1305_core_init(&state->poly_state);
+ state->buflen = 0;
+ state->nh_remaining = 0;
+ return 0;
+}
+EXPORT_SYMBOL(crypto_nhpoly1305_init);
+
+int crypto_nhpoly1305_update_helper(struct shash_desc *desc,
+ const u8 *src, unsigned int srclen,
+ nh_t nh_fn)
+{
+ struct nhpoly1305_state *state = shash_desc_ctx(desc);
+ const struct nhpoly1305_key *key = crypto_shash_ctx(desc->tfm);
+ unsigned int bytes;
+
+ if (state->buflen) {
+ bytes = min(srclen, (int)NH_MESSAGE_UNIT - state->buflen);
+ memcpy(&state->buffer[state->buflen], src, bytes);
+ state->buflen += bytes;
+ if (state->buflen < NH_MESSAGE_UNIT)
+ return 0;
+ nhpoly1305_units(state, key, state->buffer, NH_MESSAGE_UNIT,
+ nh_fn);
+ state->buflen = 0;
+ src += bytes;
+ srclen -= bytes;
+ }
+
+ if (srclen >= NH_MESSAGE_UNIT) {
+ bytes = round_down(srclen, NH_MESSAGE_UNIT);
+ nhpoly1305_units(state, key, src, bytes, nh_fn);
+ src += bytes;
+ srclen -= bytes;
+ }
+
+ if (srclen) {
+ memcpy(state->buffer, src, srclen);
+ state->buflen = srclen;
+ }
+ return 0;
+}
+EXPORT_SYMBOL(crypto_nhpoly1305_update_helper);
+
+int crypto_nhpoly1305_update(struct shash_desc *desc,
+ const u8 *src, unsigned int srclen)
+{
+ return crypto_nhpoly1305_update_helper(desc, src, srclen, nh_generic);
+}
+EXPORT_SYMBOL(crypto_nhpoly1305_update);
+
+int crypto_nhpoly1305_final_helper(struct shash_desc *desc, u8 *dst, nh_t nh_fn)
+{
+ struct nhpoly1305_state *state = shash_desc_ctx(desc);
+ const struct nhpoly1305_key *key = crypto_shash_ctx(desc->tfm);
+
+ if (state->buflen) {
+ memset(&state->buffer[state->buflen], 0,
+ NH_MESSAGE_UNIT - state->buflen);
+ nhpoly1305_units(state, key, state->buffer, NH_MESSAGE_UNIT,
+ nh_fn);
+ }
+
+ if (state->nh_remaining)
+ process_nh_hash_value(state, key);
+
+ poly1305_core_emit(&state->poly_state, dst);
+ return 0;
+}
+EXPORT_SYMBOL(crypto_nhpoly1305_final_helper);
+
+int crypto_nhpoly1305_final(struct shash_desc *desc, u8 *dst)
+{
+ return crypto_nhpoly1305_final_helper(desc, dst, nh_generic);
+}
+EXPORT_SYMBOL(crypto_nhpoly1305_final);
+
+static struct shash_alg nhpoly1305_alg = {
+ .base.cra_name = "nhpoly1305",
+ .base.cra_driver_name = "nhpoly1305-generic",
+ .base.cra_priority = 100,
+ .base.cra_ctxsize = sizeof(struct nhpoly1305_key),
+ .base.cra_module = THIS_MODULE,
+ .digestsize = POLY1305_DIGEST_SIZE,
+ .init = crypto_nhpoly1305_init,
+ .update = crypto_nhpoly1305_update,
+ .final = crypto_nhpoly1305_final,
+ .setkey = crypto_nhpoly1305_setkey,
+ .descsize = sizeof(struct nhpoly1305_state),
+};
+
+static int __init nhpoly1305_mod_init(void)
+{
+ return crypto_register_shash(&nhpoly1305_alg);
+}
+
+static void __exit nhpoly1305_mod_exit(void)
+{
+ crypto_unregister_shash(&nhpoly1305_alg);
+}
+
+module_init(nhpoly1305_mod_init);
+module_exit(nhpoly1305_mod_exit);
+
+MODULE_DESCRIPTION("NHPoly1305 ε-almost-∆-universal hash function");
+MODULE_LICENSE("GPL v2");
+MODULE_AUTHOR("Eric Biggers <ebiggers@google.com>");
+MODULE_ALIAS_CRYPTO("nhpoly1305");
+MODULE_ALIAS_CRYPTO("nhpoly1305-generic");
diff --git a/crypto/testmgr.c b/crypto/testmgr.c
index 6ff60c3745f1..665911c24786 100644
--- a/crypto/testmgr.c
+++ b/crypto/testmgr.c
@@ -3312,6 +3312,12 @@ static const struct alg_test_desc alg_test_descs[] = {
}
}
}, {
+ .alg = "nhpoly1305",
+ .test = alg_test_hash,
+ .suite = {
+ .hash = __VECS(nhpoly1305_tv_template)
+ }
+ }, {
.alg = "ofb(aes)",
.test = alg_test_skcipher,
.fips_allowed = 1,
diff --git a/crypto/testmgr.h b/crypto/testmgr.h
index a23dca2b11d0..50ea1f2705c7 100644
--- a/crypto/testmgr.h
+++ b/crypto/testmgr.h
@@ -27,7 +27,7 @@
#define MAX_DIGEST_SIZE 64
#define MAX_TAP 8
-#define MAX_KEYLEN 160
+#define MAX_KEYLEN 1088
#define MAX_IVLEN 32
struct hash_testvec {
@@ -35,10 +35,10 @@ struct hash_testvec {
const char *key;
const char *plaintext;
const char *digest;
- unsigned char tap[MAX_TAP];
+ unsigned short tap[MAX_TAP];
+ unsigned short np;
unsigned short psize;
- unsigned char np;
- unsigned char ksize;
+ unsigned short ksize;
};
/*
@@ -5709,6 +5709,1238 @@ static const struct hash_testvec poly1305_tv_template[] = {
},
};
+/* NHPoly1305 test vectors from https://github.com/google/adiantum */
+static const struct hash_testvec nhpoly1305_tv_template[] = {
+ {
+ .key = "\xd2\x5d\x4c\xdd\x8d\x2b\x7f\x7a"
+ "\xd9\xbe\x71\xec\xd1\x83\x52\xe3"
+ "\xe1\xad\xd7\x5c\x0a\x75\x9d\xec"
+ "\x1d\x13\x7e\x5d\x71\x07\xc9\xe4"
+ "\x57\x2d\x44\x68\xcf\xd8\xd6\xc5"
+ "\x39\x69\x7d\x32\x75\x51\x4f\x7e"
+ "\xb2\x4c\xc6\x90\x51\x6e\xd9\xd6"
+ "\xa5\x8b\x2d\xf1\x94\xf9\xf7\x5e"
+ "\x2c\x84\x7b\x41\x0f\x88\x50\x89"
+ "\x30\xd9\xa1\x38\x46\x6c\xc0\x4f"
+ "\xe8\xdf\xdc\x66\xab\x24\x43\x41"
+ "\x91\x55\x29\x65\x86\x28\x5e\x45"
+ "\xd5\x2d\xb7\x80\x08\x9a\xc3\xd4"
+ "\x9a\x77\x0a\xd4\xef\x3e\xe6\x3f"
+ "\x6f\x2f\x9b\x3a\x7d\x12\x1e\x80"
+ "\x6c\x44\xa2\x25\xe1\xf6\x60\xe9"
+ "\x0d\xaf\xc5\x3c\xa5\x79\xae\x64"
+ "\xbc\xa0\x39\xa3\x4d\x10\xe5\x4d"
+ "\xd5\xe7\x89\x7a\x13\xee\x06\x78"
+ "\xdc\xa4\xdc\x14\x27\xe6\x49\x38"
+ "\xd0\xe0\x45\x25\x36\xc5\xf4\x79"
+ "\x2e\x9a\x98\x04\xe4\x2b\x46\x52"
+ "\x7c\x33\xca\xe2\x56\x51\x50\xe2"
+ "\xa5\x9a\xae\x18\x6a\x13\xf8\xd2"
+ "\x21\x31\x66\x02\xe2\xda\x8d\x7e"
+ "\x41\x19\xb2\x61\xee\x48\x8f\xf1"
+ "\x65\x24\x2e\x1e\x68\xce\x05\xd9"
+ "\x2a\xcf\xa5\x3a\x57\xdd\x35\x91"
+ "\x93\x01\xca\x95\xfc\x2b\x36\x04"
+ "\xe6\x96\x97\x28\xf6\x31\xfe\xa3"
+ "\x9d\xf6\x6a\x1e\x80\x8d\xdc\xec"
+ "\xaf\x66\x11\x13\x02\x88\xd5\x27"
+ "\x33\xb4\x1a\xcd\xa3\xf6\xde\x31"
+ "\x8e\xc0\x0e\x6c\xd8\x5a\x97\x5e"
+ "\xdd\xfd\x60\x69\x38\x46\x3f\x90"
+ "\x5e\x97\xd3\x32\x76\xc7\x82\x49"
+ "\xfe\xba\x06\x5f\x2f\xa2\xfd\xff"
+ "\x80\x05\x40\xe4\x33\x03\xfb\x10"
+ "\xc0\xde\x65\x8c\xc9\x8d\x3a\x9d"
+ "\xb5\x7b\x36\x4b\xb5\x0c\xcf\x00"
+ "\x9c\x87\xe4\x49\xad\x90\xda\x4a"
+ "\xdd\xbd\xff\xe2\x32\x57\xd6\x78"
+ "\x36\x39\x6c\xd3\x5b\x9b\x88\x59"
+ "\x2d\xf0\x46\xe4\x13\x0e\x2b\x35"
+ "\x0d\x0f\x73\x8a\x4f\x26\x84\x75"
+ "\x88\x3c\xc5\x58\x66\x18\x1a\xb4"
+ "\x64\x51\x34\x27\x1b\xa4\x11\xc9"
+ "\x6d\x91\x8a\xfa\x32\x60\x9d\xd7"
+ "\x87\xe5\xaa\x43\x72\xf8\xda\xd1"
+ "\x48\x44\x13\x61\xdc\x8c\x76\x17"
+ "\x0c\x85\x4e\xf3\xdd\xa2\x42\xd2"
+ "\x74\xc1\x30\x1b\xeb\x35\x31\x29"
+ "\x5b\xd7\x4c\x94\x46\x35\xa1\x23"
+ "\x50\xf2\xa2\x8e\x7e\x4f\x23\x4f"
+ "\x51\xff\xe2\xc9\xa3\x7d\x56\x8b"
+ "\x41\xf2\xd0\xc5\x57\x7e\x59\xac"
+ "\xbb\x65\xf3\xfe\xf7\x17\xef\x63"
+ "\x7c\x6f\x23\xdd\x22\x8e\xed\x84"
+ "\x0e\x3b\x09\xb3\xf3\xf4\x8f\xcd"
+ "\x37\xa8\xe1\xa7\x30\xdb\xb1\xa2"
+ "\x9c\xa2\xdf\x34\x17\x3e\x68\x44"
+ "\xd0\xde\x03\x50\xd1\x48\x6b\x20"
+ "\xe2\x63\x45\xa5\xea\x87\xc2\x42"
+ "\x95\x03\x49\x05\xed\xe0\x90\x29"
+ "\x1a\xb8\xcf\x9b\x43\xcf\x29\x7a"
+ "\x63\x17\x41\x9f\xe0\xc9\x10\xfd"
+ "\x2c\x56\x8c\x08\x55\xb4\xa9\x27"
+ "\x0f\x23\xb1\x05\x6a\x12\x46\xc7"
+ "\xe1\xfe\x28\x93\x93\xd7\x2f\xdc"
+ "\x98\x30\xdb\x75\x8a\xbe\x97\x7a"
+ "\x02\xfb\x8c\xba\xbe\x25\x09\xbe"
+ "\xce\xcb\xa2\xef\x79\x4d\x0e\x9d"
+ "\x1b\x9d\xb6\x39\x34\x38\xfa\x07"
+ "\xec\xe8\xfc\x32\x85\x1d\xf7\x85"
+ "\x63\xc3\x3c\xc0\x02\x75\xd7\x3f"
+ "\xb2\x68\x60\x66\x65\x81\xc6\xb1"
+ "\x42\x65\x4b\x4b\x28\xd7\xc7\xaa"
+ "\x9b\xd2\xdc\x1b\x01\xe0\x26\x39"
+ "\x01\xc1\x52\x14\xd1\x3f\xb7\xe6"
+ "\x61\x41\xc7\x93\xd2\xa2\x67\xc6"
+ "\xf7\x11\xb5\xf5\xea\xdd\x19\xfb"
+ "\x4d\x21\x12\xd6\x7d\xf1\x10\xb0"
+ "\x89\x07\xc7\x5a\x52\x73\x70\x2f"
+ "\x32\xef\x65\x2b\x12\xb2\xf0\xf5"
+ "\x20\xe0\x90\x59\x7e\x64\xf1\x4c"
+ "\x41\xb3\xa5\x91\x08\xe6\x5e\x5f"
+ "\x05\x56\x76\xb4\xb0\xcd\x70\x53"
+ "\x10\x48\x9c\xff\xc2\x69\x55\x24"
+ "\x87\xef\x84\xea\xfb\xa7\xbf\xa0"
+ "\x91\x04\xad\x4f\x8b\x57\x54\x4b"
+ "\xb6\xe9\xd1\xac\x37\x2f\x1d\x2e"
+ "\xab\xa5\xa4\xe8\xff\xfb\xd9\x39"
+ "\x2f\xb7\xac\xd1\xfe\x0b\x9a\x80"
+ "\x0f\xb6\xf4\x36\x39\x90\x51\xe3"
+ "\x0a\x2f\xb6\x45\x76\x89\xcd\x61"
+ "\xfe\x48\x5f\x75\x1d\x13\x00\x62"
+ "\x80\x24\x47\xe7\xbc\x37\xd7\xe3"
+ "\x15\xe8\x68\x22\xaf\x80\x6f\x4b"
+ "\xa8\x9f\x01\x10\x48\x14\xc3\x02"
+ "\x52\xd2\xc7\x75\x9b\x52\x6d\x30"
+ "\xac\x13\x85\xc8\xf7\xa3\x58\x4b"
+ "\x49\xf7\x1c\x45\x55\x8c\x39\x9a"
+ "\x99\x6d\x97\x27\x27\xe6\xab\xdd"
+ "\x2c\x42\x1b\x35\xdd\x9d\x73\xbb"
+ "\x6c\xf3\x64\xf1\xfb\xb9\xf7\xe6"
+ "\x4a\x3c\xc0\x92\xc0\x2e\xb7\x1a"
+ "\xbe\xab\xb3\x5a\xe5\xea\xb1\x48"
+ "\x58\x13\x53\x90\xfd\xc3\x8e\x54"
+ "\xf9\x18\x16\x73\xe8\xcb\x6d\x39"
+ "\x0e\xd7\xe0\xfe\xb6\x9f\x43\x97"
+ "\xe8\xd0\x85\x56\x83\x3e\x98\x68"
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+ "\x42\x7e\x4d\xe5\xe0\xe6\x0e\xca"
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+ "\xec\x40\x93\xf4\x00\x26\x4f\x2a"
+ "\xff\x47\x2f\xeb\x02\x92\x26\x5b"
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+ "\x33\x73\x8b\x59\x03\xad\x05\xdf"
+ "\x25\x98\x31\xde\xef\x13\xf1\x9b"
+ "\x3c\x91\x9d\x7b\xb1\xfa\xe6\xbf"
+ "\x5b\xed\xa5\x55\xe6\xea\x6c\x74"
+ "\xf4\xb9\xe4\x45\x64\x72\x81\xc2"
+ "\x4c\x28\xd4\xcd\xac\xe2\xde\xf9"
+ "\xeb\x5c\xeb\x61\x60\x5a\xe5\x28",
+ .ksize = 1088,
+ .plaintext = "",
+ .psize = 0,
+ .digest = "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00",
+ }, {
+ .key = "\x29\x21\x43\xcb\xcb\x13\x07\xde"
+ "\xbf\x48\xdf\x8a\x7f\xa2\x84\xde"
+ "\x72\x23\x9d\xf5\xf0\x07\xf2\x4c"
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+ "\x6c\xed\xd6\xb2\x15\xa4\xb3\xf9"
+ "\xa7\x46\x38\x2a\xea\x69\xa5\xde"
+ "\x02\xc3\x96\x89\x4d\x55\x3b\xed"
+ "\x3d\x3a\x85\x77\xbf\x97\x45\x5c"
+ "\x9e\x02\x69\xe2\x1b\x68\xbe\x96"
+ "\xfb\x64\x6f\x0f\xf6\x06\x40\x67"
+ "\xfa\x04\xe3\x55\xfa\xbe\xa4\x60"
+ "\xef\x21\x66\x97\xe6\x9d\x5c\x1f"
+ "\x62\x37\xaa\x31\xde\xe4\x9c\x28"
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+ "\xfd\x5f\x3a\x54\x2c\x51\x80\x71"
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+ "\x03\x33\x9e\xd8\x03\x69\x9a\xe8"
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+ "\x48\x90\x80\xf0\x12\x9b\x20\x64"
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+ "\x03\x13\x60\x41\x28\x09\xec\xcc"
+ "\xb1\x1a\xec\xd6\xfb\x6f\x2a\x89"
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+ "\x7e\xc8\xd9\x6c\x98\x1d\x45\x41"
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+ "\xd7\xe2\x8d\x65\x14\x21\xce\xbe"
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+ "\x86\x90\x85\x68\x6b\x7b\x03\x53"
+ "\xda\x52\x52\x51\x68\xc8\xf3\xec"
+ "\x6c\xd5\x03\x7a\xa3\x0e\xb4\x02"
+ "\x5f\x1a\xab\xee\xca\x67\x29\x7b"
+ "\xbd\x96\x59\xb3\x8b\x32\x7a\x92"
+ "\x9f\xd8\x25\x2b\xdf\xc0\x4c\xda",
+ .ksize = 1088,
+ .plaintext = "\xbc\xda\x81\xa8\x78\x79\x1c\xbf"
+ "\x77\x53\xba\x4c\x30\x5b\xb8\x33",
+ .psize = 16,
+ .digest = "\x04\xbf\x7f\x6a\xce\x72\xea\x6a"
+ "\x79\xdb\xb0\xc9\x60\xf6\x12\xcc",
+ .np = 6,
+ .tap = { 4, 4, 1, 1, 1, 5 },
+ }, {
+ .key = "\x65\x4d\xe3\xf8\xd2\x4c\xac\x28"
+ "\x68\xf5\xb3\x81\x71\x4b\xa1\xfa"
+ "\x04\x0e\xd3\x81\x36\xbe\x0c\x81"
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+ "\x3d\x0a\xc9\xcb\xab\xa4\x21\xb0"
+ "\x54\x40\x81\x44\xc7\xd6\x1c\x11"
+ "\x44\xc6\x02\x92\x14\x5a\xbf\x1a"
+ "\x09\x8a\x18\xad\xcd\x64\x3d\x53"
+ "\x4a\xb6\xa5\x1b\x57\x0e\xef\xe0"
+ "\x8c\x44\x5f\x7d\xbd\x6c\xfd\x60"
+ "\xae\x02\x24\xb6\x99\xdd\x8c\xaf"
+ "\x59\x39\x75\x3c\xd1\x54\x7b\x86"
+ "\xcc\x99\xd9\x28\x0c\xb0\x94\x62"
+ "\xf9\x51\xd1\x19\x96\x2d\x66\xf5"
+ "\x55\xcf\x9e\x59\xe2\x6b\x2c\x08"
+ "\xc0\x54\x48\x24\x45\xc3\x8c\x73"
+ "\xea\x27\x6e\x66\x7d\x1d\x0e\x6e"
+ "\x13\xe8\x56\x65\x3a\xb0\x81\x5c"
+ "\xf0\xe8\xd8\x00\x6b\xcd\x8f\xad"
+ "\xdd\x53\xf3\xa4\x6c\x43\xd6\x31"
+ "\xaf\xd2\x76\x1e\x91\x12\xdb\x3c"
+ "\x8c\xc2\x81\xf0\x49\xdb\xe2\x6b"
+ "\x76\x62\x0a\x04\xe4\xaa\x8a\x7c"
+ "\x08\x0b\x5d\xd0\xee\x1d\xfb\xc4"
+ "\x02\x75\x42\xd6\xba\xa7\x22\xa8"
+ "\x47\x29\xb7\x85\x6d\x93\x3a\xdb"
+ "\x00\x53\x0b\xa2\xeb\xf8\xfe\x01"
+ "\x6f\x8a\x31\xd6\x17\x05\x6f\x67"
+ "\x88\x95\x32\xfe\x4f\xa6\x4b\xf8"
+ "\x03\xe4\xcd\x9a\x18\xe8\x4e\x2d"
+ "\xf7\x97\x9a\x0c\x7d\x9f\x7e\x44"
+ "\x69\x51\xe0\x32\x6b\x62\x86\x8f"
+ "\xa6\x8e\x0b\x21\x96\xe5\xaf\x77"
+ "\xc0\x83\xdf\xa5\x0e\xd0\xa1\x04"
+ "\xaf\xc1\x10\xcb\x5a\x40\xe4\xe3"
+ "\x38\x7e\x07\xe8\x4d\xfa\xed\xc5"
+ "\xf0\x37\xdf\xbb\x8a\xcf\x3d\xdc"
+ "\x61\xd2\xc6\x2b\xff\x07\xc9\x2f"
+ "\x0c\x2d\x5c\x07\xa8\x35\x6a\xfc"
+ "\xae\x09\x03\x45\x74\x51\x4d\xc4"
+ "\xb8\x23\x87\x4a\x99\x27\x20\x87"
+ "\x62\x44\x0a\x4a\xce\x78\x47\x22",
+ .ksize = 1088,
+ .plaintext = "\x8e\xb0\x4c\xde\x9c\x4a\x04\x5a"
+ "\xf6\xa9\x7f\x45\x25\xa5\x7b\x3a"
+ "\xbc\x4d\x73\x39\x81\xb5\xbd\x3d"
+ "\x21\x6f\xd7\x37\x50\x3c\x7b\x28"
+ "\xd1\x03\x3a\x17\xed\x7b\x7c\x2a"
+ "\x16\xbc\xdf\x19\x89\x52\x71\x31"
+ "\xb6\xc0\xfd\xb5\xd3\xba\x96\x99"
+ "\xb6\x34\x0b\xd0\x99\x93\xfc\x1a"
+ "\x01\x3c\x85\xc6\x9b\x78\x5c\x8b"
+ "\xfe\xae\xd2\xbf\xb2\x6f\xf9\xed"
+ "\xc8\x25\x17\xfe\x10\x3b\x7d\xda"
+ "\xf4\x8d\x35\x4b\x7c\x7b\x82\xe7"
+ "\xc2\xb3\xee\x60\x4a\x03\x86\xc9"
+ "\x4e\xb5\xc4\xbe\xd2\xbd\x66\xf1"
+ "\x13\xf1\x09\xab\x5d\xca\x63\x1f"
+ "\xfc\xfb\x57\x2a\xfc\xca\x66\xd8"
+ "\x77\x84\x38\x23\x1d\xac\xd3\xb3"
+ "\x7a\xad\x4c\x70\xfa\x9c\xc9\x61"
+ "\xa6\x1b\xba\x33\x4b\x4e\x33\xec"
+ "\xa0\xa1\x64\x39\x40\x05\x1c\xc2"
+ "\x3f\x49\x9d\xae\xf2\xc5\xf2\xc5"
+ "\xfe\xe8\xf4\xc2\xf9\x96\x2d\x28"
+ "\x92\x30\x44\xbc\xd2\x7f\xe1\x6e"
+ "\x62\x02\x8f\x3d\x1c\x80\xda\x0e"
+ "\x6a\x90\x7e\x75\xff\xec\x3e\xc4"
+ "\xcd\x16\x34\x3b\x05\x6d\x4d\x20"
+ "\x1c\x7b\xf5\x57\x4f\xfa\x3d\xac"
+ "\xd0\x13\x55\xe8\xb3\xe1\x1b\x78"
+ "\x30\xe6\x9f\x84\xd4\x69\xd1\x08"
+ "\x12\x77\xa7\x4a\xbd\xc0\xf2\xd2"
+ "\x78\xdd\xa3\x81\x12\xcb\x6c\x14"
+ "\x90\x61\xe2\x84\xc6\x2b\x16\xcc"
+ "\x40\x99\x50\x88\x01\x09\x64\x4f"
+ "\x0a\x80\xbe\x61\xae\x46\xc9\x0a"
+ "\x5d\xe0\xfb\x72\x7a\x1a\xdd\x61"
+ "\x63\x20\x05\xa0\x4a\xf0\x60\x69"
+ "\x7f\x92\xbc\xbf\x4e\x39\x4d\xdd"
+ "\x74\xd1\xb7\xc0\x5a\x34\xb7\xae"
+ "\x76\x65\x2e\xbc\x36\xb9\x04\x95"
+ "\x42\xe9\x6f\xca\x78\xb3\x72\x07"
+ "\xa3\xba\x02\x94\x67\x4c\xb1\xd7"
+ "\xe9\x30\x0d\xf0\x3b\xb8\x10\x6d"
+ "\xea\x2b\x21\xbf\x74\x59\x82\x97"
+ "\x85\xaa\xf1\xd7\x54\x39\xeb\x05"
+ "\xbd\xf3\x40\xa0\x97\xe6\x74\xfe"
+ "\xb4\x82\x5b\xb1\x36\xcb\xe8\x0d"
+ "\xce\x14\xd9\xdf\xf1\x94\x22\xcd"
+ "\xd6\x00\xba\x04\x4c\x05\x0c\xc0"
+ "\xd1\x5a\xeb\x52\xd5\xa8\x8e\xc8"
+ "\x97\xa1\xaa\xc1\xea\xc1\xbe\x7c"
+ "\x36\xb3\x36\xa0\xc6\x76\x66\xc5"
+ "\xe2\xaf\xd6\x5c\xe2\xdb\x2c\xb3"
+ "\x6c\xb9\x99\x7f\xff\x9f\x03\x24"
+ "\xe1\x51\x44\x66\xd8\x0c\x5d\x7f"
+ "\x5c\x85\x22\x2a\xcf\x6d\x79\x28"
+ "\xab\x98\x01\x72\xfe\x80\x87\x5f"
+ "\x46\xba\xef\x81\x24\xee\xbf\xb0"
+ "\x24\x74\xa3\x65\x97\x12\xc4\xaf"
+ "\x8b\xa0\x39\xda\x8a\x7e\x74\x6e"
+ "\x1b\x42\xb4\x44\x37\xfc\x59\xfd"
+ "\x86\xed\xfb\x8c\x66\x33\xda\x63"
+ "\x75\xeb\xe1\xa4\x85\x4f\x50\x8f"
+ "\x83\x66\x0d\xd3\x37\xfa\xe6\x9c"
+ "\x4f\x30\x87\x35\x18\xe3\x0b\xb7"
+ "\x6e\x64\x54\xcd\x70\xb3\xde\x54"
+ "\xb7\x1d\xe6\x4c\x4d\x55\x12\x12"
+ "\xaf\x5f\x7f\x5e\xee\x9d\xe8\x8e"
+ "\x32\x9d\x4e\x75\xeb\xc6\xdd\xaa"
+ "\x48\x82\xa4\x3f\x3c\xd7\xd3\xa8"
+ "\x63\x9e\x64\xfe\xe3\x97\x00\x62"
+ "\xe5\x40\x5d\xc3\xad\x72\xe1\x28"
+ "\x18\x50\xb7\x75\xef\xcd\x23\xbf"
+ "\x3f\xc0\x51\x36\xf8\x41\xc3\x08"
+ "\xcb\xf1\x8d\x38\x34\xbd\x48\x45"
+ "\x75\xed\xbc\x65\x7b\xb5\x0c\x9b"
+ "\xd7\x67\x7d\x27\xb4\xc4\x80\xd7"
+ "\xa9\xb9\xc7\x4a\x97\xaa\xda\xc8"
+ "\x3c\x74\xcf\x36\x8f\xe4\x41\xe3"
+ "\xd4\xd3\x26\xa7\xf3\x23\x9d\x8f"
+ "\x6c\x20\x05\x32\x3e\xe0\xc3\xc8"
+ "\x56\x3f\xa7\x09\xb7\xfb\xc7\xf7"
+ "\xbe\x2a\xdd\x0f\x06\x7b\x0d\xdd"
+ "\xb0\xb4\x86\x17\xfd\xb9\x04\xe5"
+ "\xc0\x64\x5d\xad\x2a\x36\x38\xdb"
+ "\x24\xaf\x5b\xff\xca\xf9\x41\xe8"
+ "\xf9\x2f\x1e\x5e\xf9\xf5\xd5\xf2"
+ "\xb2\x88\xca\xc9\xa1\x31\xe2\xe8"
+ "\x10\x95\x65\xbf\xf1\x11\x61\x7a"
+ "\x30\x1a\x54\x90\xea\xd2\x30\xf6"
+ "\xa5\xad\x60\xf9\x4d\x84\x21\x1b"
+ "\xe4\x42\x22\xc8\x12\x4b\xb0\x58"
+ "\x3e\x9c\x2d\x32\x95\x0a\x8e\xb0"
+ "\x0a\x7e\x77\x2f\xe8\x97\x31\x6a"
+ "\xf5\x59\xb4\x26\xe6\x37\x12\xc9"
+ "\xcb\xa0\x58\x33\x6f\xd5\x55\x55"
+ "\x3c\xa1\x33\xb1\x0b\x7e\x2e\xb4"
+ "\x43\x2a\x84\x39\xf0\x9c\xf4\x69"
+ "\x4f\x1e\x79\xa6\x15\x1b\x87\xbb"
+ "\xdb\x9b\xe0\xf1\x0b\xba\xe3\x6e"
+ "\xcc\x2f\x49\x19\x22\x29\xfc\x71"
+ "\xbb\x77\x38\x18\x61\xaf\x85\x76"
+ "\xeb\xd1\x09\xcc\x86\x04\x20\x9a"
+ "\x66\x53\x2f\x44\x8b\xc6\xa3\xd2"
+ "\x5f\xc7\x79\x82\x66\xa8\x6e\x75"
+ "\x7d\x94\xd1\x86\x75\x0f\xa5\x4f"
+ "\x3c\x7a\x33\xce\xd1\x6e\x9d\x7b"
+ "\x1f\x91\x37\xb8\x37\x80\xfb\xe0"
+ "\x52\x26\xd0\x9a\xd4\x48\x02\x41"
+ "\x05\xe3\x5a\x94\xf1\x65\x61\x19"
+ "\xb8\x88\x4e\x2b\xea\xba\x8b\x58"
+ "\x8b\x42\x01\x00\xa8\xfe\x00\x5c"
+ "\xfe\x1c\xee\x31\x15\x69\xfa\xb3"
+ "\x9b\x5f\x22\x8e\x0d\x2c\xe3\xa5"
+ "\x21\xb9\x99\x8a\x8e\x94\x5a\xef"
+ "\x13\x3e\x99\x96\x79\x6e\xd5\x42"
+ "\x36\x03\xa9\xe2\xca\x65\x4e\x8a"
+ "\x8a\x30\xd2\x7d\x74\xe7\xf0\xaa"
+ "\x23\x26\xdd\xcb\x82\x39\xfc\x9d"
+ "\x51\x76\x21\x80\xa2\xbe\x93\x03"
+ "\x47\xb0\xc1\xb6\xdc\x63\xfd\x9f"
+ "\xca\x9d\xa5\xca\x27\x85\xe2\xd8"
+ "\x15\x5b\x7e\x14\x7a\xc4\x89\xcc"
+ "\x74\x14\x4b\x46\xd2\xce\xac\x39"
+ "\x6b\x6a\x5a\xa4\x0e\xe3\x7b\x15"
+ "\x94\x4b\x0f\x74\xcb\x0c\x7f\xa9"
+ "\xbe\x09\x39\xa3\xdd\x56\x5c\xc7"
+ "\x99\x56\x65\x39\xf4\x0b\x7d\x87"
+ "\xec\xaa\xe3\x4d\x22\x65\x39\x4e",
+ .psize = 1024,
+ .digest = "\x64\x3a\xbc\xc3\x3f\x74\x40\x51"
+ "\x6e\x56\x01\x1a\x51\xec\x36\xde",
+ .np = 8,
+ .tap = { 64, 203, 267, 28, 263, 62, 54, 83 },
+ }, {
+ .key = "\x1b\x82\x2e\x1b\x17\x23\xb9\x6d"
+ "\xdc\x9c\xda\x99\x07\xe3\x5f\xd8"
+ "\xd2\xf8\x43\x80\x8d\x86\x7d\x80"
+ "\x1a\xd0\xcc\x13\xb9\x11\x05\x3f"
+ "\x7e\xcf\x7e\x80\x0e\xd8\x25\x48"
+ "\x8b\xaa\x63\x83\x92\xd0\x72\xf5"
+ "\x4f\x67\x7e\x50\x18\x25\xa4\xd1"
+ "\xe0\x7e\x1e\xba\xd8\xa7\x6e\xdb"
+ "\x1a\xcc\x0d\xfe\x9f\x6d\x22\x35"
+ "\xe1\xe6\xe0\xa8\x7b\x9c\xb1\x66"
+ "\xa3\xf8\xff\x4d\x90\x84\x28\xbc"
+ "\xdc\x19\xc7\x91\x49\xfc\xf6\x33"
+ "\xc9\x6e\x65\x7f\x28\x6f\x68\x2e"
+ "\xdf\x1a\x75\xe9\xc2\x0c\x96\xb9"
+ "\x31\x22\xc4\x07\xc6\x0a\x2f\xfd"
+ "\x36\x06\x5f\x5c\xc5\xb1\x3a\xf4"
+ "\x5e\x48\xa4\x45\x2b\x88\xa7\xee"
+ "\xa9\x8b\x52\xcc\x99\xd9\x2f\xb8"
+ "\xa4\x58\x0a\x13\xeb\x71\x5a\xfa"
+ "\xe5\x5e\xbe\xf2\x64\xad\x75\xbc"
+ "\x0b\x5b\x34\x13\x3b\x23\x13\x9a"
+ "\x69\x30\x1e\x9a\xb8\x03\xb8\x8b"
+ "\x3e\x46\x18\x6d\x38\xd9\xb3\xd8"
+ "\xbf\xf1\xd0\x28\xe6\x51\x57\x80"
+ "\x5e\x99\xfb\xd0\xce\x1e\x83\xf7"
+ "\xe9\x07\x5a\x63\xa9\xef\xce\xa5"
+ "\xfb\x3f\x37\x17\xfc\x0b\x37\x0e"
+ "\xbb\x4b\x21\x62\xb7\x83\x0e\xa9"
+ "\x9e\xb0\xc4\xad\x47\xbe\x35\xe7"
+ "\x51\xb2\xf2\xac\x2b\x65\x7b\x48"
+ "\xe3\x3f\x5f\xb6\x09\x04\x0c\x58"
+ "\xce\x99\xa9\x15\x2f\x4e\xc1\xf2"
+ "\x24\x48\xc0\xd8\x6c\xd3\x76\x17"
+ "\x83\x5d\xe6\xe3\xfd\x01\x8e\xf7"
+ "\x42\xa5\x04\x29\x30\xdf\xf9\x00"
+ "\x4a\xdc\x71\x22\x1a\x33\x15\xb6"
+ "\xd7\x72\xfb\x9a\xb8\xeb\x2b\x38"
+ "\xea\xa8\x61\xa8\x90\x11\x9d\x73"
+ "\x2e\x6c\xce\x81\x54\x5a\x9f\xcd"
+ "\xcf\xd5\xbd\x26\x5d\x66\xdb\xfb"
+ "\xdc\x1e\x7c\x10\xfe\x58\x82\x10"
+ "\x16\x24\x01\xce\x67\x55\x51\xd1"
+ "\xdd\x6b\x44\xa3\x20\x8e\xa9\xa6"
+ "\x06\xa8\x29\x77\x6e\x00\x38\x5b"
+ "\xde\x4d\x58\xd8\x1f\x34\xdf\xf9"
+ "\x2c\xac\x3e\xad\xfb\x92\x0d\x72"
+ "\x39\xa4\xac\x44\x10\xc0\x43\xc4"
+ "\xa4\x77\x3b\xfc\xc4\x0d\x37\xd3"
+ "\x05\x84\xda\x53\x71\xf8\x80\xd3"
+ "\x34\x44\xdb\x09\xb4\x2b\x8e\xe3"
+ "\x00\x75\x50\x9e\x43\x22\x00\x0b"
+ "\x7c\x70\xab\xd4\x41\xf1\x93\xcd"
+ "\x25\x2d\x84\x74\xb5\xf2\x92\xcd"
+ "\x0a\x28\xea\x9a\x49\x02\x96\xcb"
+ "\x85\x9e\x2f\x33\x03\x86\x1d\xdc"
+ "\x1d\x31\xd5\xfc\x9d\xaa\xc5\xe9"
+ "\x9a\xc4\x57\xf5\x35\xed\xf4\x4b"
+ "\x3d\x34\xc2\x29\x13\x86\x36\x42"
+ "\x5d\xbf\x90\x86\x13\x77\xe5\xc3"
+ "\x62\xb4\xfe\x0b\x70\x39\x35\x65"
+ "\x02\xea\xf6\xce\x57\x0c\xbb\x74"
+ "\x29\xe3\xfd\x60\x90\xfd\x10\x