Implement the XSalsa20 stream cipher

This commit is contained in:
Brandon Hamilton 2016-10-09 15:25:31 +02:00
parent 3c087f0f44
commit 548cbb6f79
8 changed files with 283 additions and 6 deletions

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@ -11,7 +11,7 @@ module Crypto.Cipher.Salsa
( initialize ( initialize
, combine , combine
, generate , generate
, State , State(..)
) where ) where
import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray, ScrubbedBytes) import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray, ScrubbedBytes)

50
Crypto/Cipher/XSalsa.hs Normal file
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@ -0,0 +1,50 @@
-- |
-- Module : Crypto.Cipher.XSalsa
-- License : BSD-style
-- Maintainer : Brandon Hamilton <brandon.hamilton@gmail.com>
-- Stability : stable
-- Portability : good
--
-- Implementation of XSalsa20 algorithm
-- <https://cr.yp.to/snuffle/xsalsa-20081128.pdf>
-- Based on the Salsa20 algorithm with 256 bit key extended with 192 bit nonce
{-# LANGUAGE ForeignFunctionInterface #-}
module Crypto.Cipher.XSalsa
( initialize
, combine
, generate
, State
) where
import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray, ScrubbedBytes)
import qualified Crypto.Internal.ByteArray as B
import Crypto.Internal.Compat
import Crypto.Internal.Imports
import Foreign.Ptr
import Foreign.Storable
import Foreign.C.Types
import Crypto.Cipher.Salsa hiding (initialize)
-- | Initialize a new XSalsa context with the number of rounds,
-- the key and the nonce associated.
initialize :: (ByteArrayAccess key, ByteArrayAccess nonce)
=> Int -- ^ number of rounds (8,12,20)
-> key -- ^ the key (256 bits)
-> nonce -- ^ the nonce (192 bits)
-> State -- ^ the initial XSalsa state
initialize nbRounds key nonce
| kLen /= 32 = error "XSalsa: key length should be 256 bits"
| nonceLen /= 24 = error "XSalsa: nonce length should be 192 bits"
| not (nbRounds `elem` [8,12,20]) = error "XSalsa: rounds should be 8, 12 or 20"
| otherwise = unsafeDoIO $ do
stPtr <- B.alloc 132 $ \stPtr ->
B.withByteArray nonce $ \noncePtr ->
B.withByteArray key $ \keyPtr ->
ccryptonite_xsalsa_init stPtr (fromIntegral nbRounds) kLen keyPtr nonceLen noncePtr
return $ State stPtr
where kLen = B.length key
nonceLen = B.length nonce
foreign import ccall "cryptonite_xsalsa_init"
ccryptonite_xsalsa_init :: Ptr State -> Int -> Int -> Ptr Word8 -> Int -> Ptr Word8 -> IO ()

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@ -94,6 +94,7 @@ Links
* [Salsa](http://cr.yp.to/snuffle.html) * [Salsa](http://cr.yp.to/snuffle.html)
* [Salsa128-test-vectors](https://github.com/alexwebr/salsa20/blob/master/test_vectors.128) * [Salsa128-test-vectors](https://github.com/alexwebr/salsa20/blob/master/test_vectors.128)
* [Salsa256-test-vectors](https://github.com/alexwebr/salsa20/blob/master/test_vectors.256) * [Salsa256-test-vectors](https://github.com/alexwebr/salsa20/blob/master/test_vectors.256)
* [XSalsa](https://cr.yp.to/snuffle/xsalsa-20081128.pdf)
* [PBKDF2](http://tools.ietf.org/html/rfc2898) * [PBKDF2](http://tools.ietf.org/html/rfc2898)
* [PBKDF2-test-vectors](http://www.ietf.org/rfc/rfc6070.txt) * [PBKDF2-test-vectors](http://www.ietf.org/rfc/rfc6070.txt)
* [Scrypt](http://www.tarsnap.com/scrypt.html) * [Scrypt](http://www.tarsnap.com/scrypt.html)
@ -101,7 +102,3 @@ Links
* [Ed25519](http://ed25519.cr.yp.to/papers.html) * [Ed25519](http://ed25519.cr.yp.to/papers.html)
* [AFIS](http://clemens.endorphin.org/cryptography) * [AFIS](http://clemens.endorphin.org/cryptography)
TODO
----
* add support for XSalsa

80
cbits/cryptonite_xsalsa.c Normal file
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@ -0,0 +1,80 @@
/*
* Copyright (c) 2016 Brandon Hamilton <brandon.hamilton@gmail.com>
*
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. Neither the name of the author nor the names of his contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#include <stdint.h>
#include <string.h>
#include "cryptonite_xsalsa.h"
#include "cryptonite_bitfn.h"
static inline uint32_t load32(const uint8_t *p)
{
return le32_to_cpu(*((uint32_t *) p));
}
/* XSalsa20 algorithm as described in https://cr.yp.to/snuffle/xsalsa-20081128.pdf */
void cryptonite_xsalsa_init(cryptonite_salsa_context *ctx, uint8_t nb_rounds,
uint32_t keylen, const uint8_t *key,
uint32_t ivlen, const uint8_t *iv)
{
memset(ctx, 0, sizeof(*ctx));
ctx->nb_rounds = nb_rounds;
/* Create initial 512-bit input block:
(x0, x5, x10, x15) is the Salsa20 constant
(x1, x2, x3, x4, x11, x12, x13, x14) is a 256-bit key
(x6, x7, x8, x9) is the first 128 bits of a 192-bit nonce
*/
cryptonite_salsa_init_core(&ctx->st, keylen, key, 8, iv);
ctx->st.d[ 8] = load32(iv + 8);
ctx->st.d[ 9] = load32(iv + 12);
/* Compute (z0, z1, . . . , z15) = doubleround ^(r/2) (x0, x1, . . . , x15) */
block hSalsa;
memset(&hSalsa, 0, sizeof(block));
cryptonite_salsa_core_xor(20, &hSalsa, &ctx->st);
/* Build a new 512-bit input block (x0, x1, . . . , x15):
(x0, x5, x10, x15) is the Salsa20 constant
(x1,x2,x3,x4,x11,x12,x13,x14) = (z0,z5,z10,z15,z6,z7,z8,z9)
(x6,x7) is the last 64 bits of the 192-bit nonce
(x8, x9) is a 64-bit block counter.
*/
ctx->st.d[ 1] = hSalsa.d[ 0] - ctx->st.d[ 0];
ctx->st.d[ 2] = hSalsa.d[ 5] - ctx->st.d[ 5];
ctx->st.d[ 3] = hSalsa.d[10] - ctx->st.d[10];
ctx->st.d[ 4] = hSalsa.d[15] - ctx->st.d[15];
ctx->st.d[11] = hSalsa.d[ 6] - ctx->st.d[ 6];
ctx->st.d[12] = hSalsa.d[ 7] - ctx->st.d[ 7];
ctx->st.d[13] = hSalsa.d[ 8] - ctx->st.d[ 8];
ctx->st.d[14] = hSalsa.d[ 9] - ctx->st.d[ 9];
ctx->st.d[ 6] = load32(iv + 16);
ctx->st.d[ 7] = load32(iv + 20);
ctx->st.d[ 8] = 0;
ctx->st.d[ 9] = 0;
}

37
cbits/cryptonite_xsalsa.h Normal file
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@ -0,0 +1,37 @@
/*
* Copyright (c) 2016 Brandon Hamilton <brandon.hamilton@gmail.com>
*
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. Neither the name of the author nor the names of his contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef CRYPTONITE_XSALSA
#define CRYPTONITE_XSALSA
#include "cryptonite_salsa.h"
void cryptonite_xsalsa_init(cryptonite_salsa_context *ctx, uint8_t nb_rounds, uint32_t keylen, const uint8_t *key, uint32_t ivlen, const uint8_t *iv);
#endif

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@ -4,7 +4,7 @@ Synopsis: Cryptography Primitives sink
Description: Description:
A repository of cryptographic primitives. A repository of cryptographic primitives.
. .
* Symmetric ciphers: AES, DES, 3DES, Blowfish, Camellia, RC4, Salsa, ChaCha. * Symmetric ciphers: AES, DES, 3DES, Blowfish, Camellia, RC4, Salsa, XSalsa, ChaCha.
. .
* Hash: SHA1, SHA2, SHA3, MD2, MD4, MD5, Keccak, Skein, Ripemd, Tiger, Whirlpool, Blake2 * Hash: SHA1, SHA2, SHA3, MD2, MD4, MD5, Keccak, Skein, Ripemd, Tiger, Whirlpool, Blake2
. .
@ -97,6 +97,7 @@ Library
Crypto.Cipher.Salsa Crypto.Cipher.Salsa
Crypto.Cipher.TripleDES Crypto.Cipher.TripleDES
Crypto.Cipher.Types Crypto.Cipher.Types
Crypto.Cipher.XSalsa
Crypto.ConstructHash.MiyaguchiPreneel Crypto.ConstructHash.MiyaguchiPreneel
Crypto.Data.AFIS Crypto.Data.AFIS
Crypto.Data.Padding Crypto.Data.Padding
@ -201,6 +202,7 @@ Library
cc-options: -fgnu89-inline cc-options: -fgnu89-inline
C-sources: cbits/cryptonite_chacha.c C-sources: cbits/cryptonite_chacha.c
, cbits/cryptonite_salsa.c , cbits/cryptonite_salsa.c
, cbits/cryptonite_xsalsa.c
, cbits/cryptonite_rc4.c , cbits/cryptonite_rc4.c
, cbits/cryptonite_cpu.c , cbits/cryptonite_cpu.c
, cbits/ed25519/ed25519.c , cbits/ed25519/ed25519.c
@ -335,6 +337,7 @@ Test-Suite test-cryptonite
Poly1305 Poly1305
Salsa Salsa
Utils Utils
XSalsa
Build-Depends: base >= 3 && < 5 Build-Depends: base >= 3 && < 5
, bytestring , bytestring
, memory , memory

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@ -9,6 +9,7 @@ import qualified BCrypt
import qualified Hash import qualified Hash
import qualified Poly1305 import qualified Poly1305
import qualified Salsa import qualified Salsa
import qualified XSalsa
import qualified ChaCha import qualified ChaCha
import qualified ChaChaPoly1305 import qualified ChaChaPoly1305
import qualified KAT_MiyaguchiPreneel import qualified KAT_MiyaguchiPreneel
@ -67,6 +68,7 @@ tests = testGroup "cryptonite"
, ChaCha.tests , ChaCha.tests
, ChaChaPoly1305.tests , ChaChaPoly1305.tests
, Salsa.tests , Salsa.tests
, XSalsa.tests
] ]
, KAT_AFIS.tests , KAT_AFIS.tests
] ]

108
tests/XSalsa.hs Normal file
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@ -0,0 +1,108 @@
{-# LANGUAGE OverloadedStrings #-}
module XSalsa (tests) where
import qualified Data.ByteString as B
import qualified Crypto.Cipher.XSalsa as XSalsa
import Imports
type Vector = (Int, B.ByteString, B.ByteString, B.ByteString, B.ByteString)
-- Test vectors generated by naclcrypto library (https://nacl.cr.yp.to)
vectors :: [Vector]
vectors =
[ ( 20
, "\xA6\xA7\x25\x1C\x1E\x72\x91\x6D\x11\xC2\xCB\x21\x4D\x3C\x25\x25\x39\x12\x1D\x8E\x23\x4E\x65\x2D\x65\x1F\xA4\xC8\xCF\xF8\x80\x30"
, "\x9E\x64\x5A\x74\xE9\xE0\xA6\x0D\x82\x43\xAC\xD9\x17\x7A\xB5\x1A\x1B\xEB\x8D\x5A\x2F\x5D\x70\x0C"
, "\x09\x3C\x5E\x55\x85\x57\x96\x25\x33\x7B\xD3\xAB\x61\x9D\x61\x57\x60\xD8\xC5\xB2\x24\xA8\x5B\x1D\x0E\xFE\x0E\xB8\xA7\xEE\x16\x3A\xBB\x03\x76\x52\x9F\xCC\x09\xBA\xB5\x06\xC6\x18\xE1\x3C\xE7\x77\xD8\x2C\x3A\xE9\xD1\xA6\xF9\x72\xD4\x16\x02\x87\xCB\xFE\x60\xBF\x21\x30\xFC\x0A\x6F\xF6\x04\x9D\x0A\x5C\x8A\x82\xF4\x29\x23\x1F\x00\x80\x82\xE8\x45\xD7\xE1\x89\xD3\x7F\x9E\xD2\xB4\x64\xE6\xB9\x19\xE6\x52\x3A\x8C\x12\x10\xBD\x52\xA0\x2A\x4C\x3F\xE4\x06\xD3\x08\x5F\x50\x68\xD1\x90\x9E\xEE\xCA\x63\x69\xAB\xC9\x81\xA4\x2E\x87\xFE\x66\x55\x83\xF0\xAB\x85\xAE\x71\xF6\xF8\x4F\x52\x8E\x6B\x39\x7A\xF8\x6F\x69\x17\xD9\x75\x4B\x73\x20\xDB\xDC\x2F\xEA\x81\x49\x6F\x27\x32\xF5\x32\xAC\x78\xC4\xE9\xC6\xCF\xB1\x8F\x8E\x9B\xDF\x74\x62\x2E\xB1\x26\x14\x14\x16\x77\x69\x71\xA8\x4F\x94\xD1\x56\xBE\xAF\x67\xAE\xCB\xF2\xAD\x41\x2E\x76\xE6\x6E\x8F\xAD\x76\x33\xF5\xB6\xD7\xF3\xD6\x4B\x5C\x6C\x69\xCE\x29\x00\x3C\x60\x24\x46\x5A\xE3\xB8\x9B\xE7\x8E\x91\x5D\x88\xB4\xB5\x62\x1D"
, "\xB2\xAF\x68\x8E\x7D\x8F\xC4\xB5\x08\xC0\x5C\xC3\x9D\xD5\x83\xD6\x71\x43\x22\xC6\x4D\x7F\x3E\x63\x14\x7A\xED\xE2\xD9\x53\x49\x34\xB0\x4F\xF6\xF3\x37\xB0\x31\x81\x5C\xD0\x94\xBD\xBC\x6D\x7A\x92\x07\x7D\xCE\x70\x94\x12\x28\x68\x22\xEF\x07\x37\xEE\x47\xF6\xB7\xFF\xA2\x2F\x9D\x53\xF1\x1D\xD2\xB0\xA3\xBB\x9F\xC0\x1D\x9A\x88\xF9\xD5\x3C\x26\xE9\x36\x5C\x2C\x3C\x06\x3B\xC4\x84\x0B\xFC\x81\x2E\x4B\x80\x46\x3E\x69\xD1\x79\x53\x0B\x25\xC1\x58\xF5\x43\x19\x1C\xFF\x99\x31\x06\x51\x1A\xA0\x36\x04\x3B\xBC\x75\x86\x6A\xB7\xE3\x4A\xFC\x57\xE2\xCC\xE4\x93\x4A\x5F\xAA\xE6\xEA\xBE\x4F\x22\x17\x70\x18\x3D\xD0\x60\x46\x78\x27\xC2\x7A\x35\x41\x59\xA0\x81\x27\x5A\x29\x1F\x69\xD9\x46\xD6\xFE\x28\xED\x0B\x9C\xE0\x82\x06\xCF\x48\x49\x25\xA5\x1B\x94\x98\xDB\xDE\x17\x8D\xDD\x3A\xE9\x1A\x85\x81\xB9\x16\x82\xD8\x60\xF8\x40\x78\x2F\x6E\xEA\x49\xDB\xB9\xBD\x72\x15\x01\xD2\xC6\x71\x22\xDE\xA3\xB7\x28\x38\x48\xC5\xF1\x3E\x0C\x0D\xE8\x76\xBD\x22\x7A\x85\x6E\x4D\xE5\x93\xA3")
, ( 20
, "\x9E\x1D\xA2\x39\xD1\x55\xF5\x2A\xD3\x7F\x75\xC7\x36\x8A\x53\x66\x68\xB0\x51\x95\x29\x23\xAD\x44\xF5\x7E\x75\xAB\x58\x8E\x47\x5A"
, "\xAF\x06\xF1\x78\x59\xDF\xFA\x79\x98\x91\xC4\x28\x8F\x66\x35\xB5\xC5\xA4\x5E\xEE\x90\x17\xFD\x72"
, "\xFE\xAC\x9D\x54\xFC\x8C\x11\x5A\xE2\x47\xD9\xA7\xE9\x19\xDD\x76\xCF\xCB\xC7\x2D\x32\xCA\xE4\x94\x48\x60\x81\x7C\xBD\xFB\x8C\x04\xE6\xB1\xDF\x76\xA1\x65\x17\xCD\x33\xCC\xF1\xAC\xDA\x92\x06\x38\x9E\x9E\x31\x8F\x59\x66\xC0\x93\xCF\xB3\xEC\x2D\x9E\xE2\xDE\x85\x64\x37\xED\x58\x1F\x55\x2F\x26\xAC\x29\x07\x60\x9D\xF8\xC6\x13\xB9\xE3\x3D\x44\xBF\xC2\x1F\xF7\x91\x53\xE9\xEF\x81\xA9\xD6\x6C\xC3\x17\x85\x7F\x75\x2C\xC1\x75\xFD\x88\x91\xFE\xFE\xBB\x7D\x04\x1E\x65\x17\xC3\x16\x2D\x19\x7E\x21\x12\x83\x7D\x3B\xC4\x10\x43\x12\xAD\x35\xB7\x5E\xA6\x86\xE7\xC7\x0D\x4E\xC0\x47\x46\xB5\x2F\xF0\x9C\x42\x14\x51\x45\x9F\xB5\x9F"
, "\x2C\x26\x1A\x2F\x4E\x61\xA6\x2E\x1B\x27\x68\x99\x16\xBF\x03\x45\x3F\xCB\xC9\x7B\xB2\xAF\x6F\x32\x93\x91\xEF\x06\x3B\x5A\x21\x9B\xF9\x84\xD0\x7D\x70\xF6\x02\xD8\x5F\x6D\xB6\x14\x74\xE9\xD9\xF5\xA2\xDE\xEC\xB4\xFC\xD9\x01\x84\xD1\x6F\x3B\x5B\x5E\x16\x8E\xE0\x3E\xA8\xC9\x3F\x39\x33\xA2\x2B\xC3\xD1\xA5\xAE\x8C\x2D\x8B\x02\x75\x7C\x87\xC0\x73\x40\x90\x52\xA2\xA8\xA4\x1E\x7F\x48\x7E\x04\x1F\x9A\x49\xA0\x99\x7B\x54\x0E\x18\x62\x1C\xAD\x3A\x24\xF0\xA5\x6D\x9B\x19\x22\x79\x29\x05\x7A\xB3\xBA\x95\x0F\x62\x74\xB1\x21\xF1\x93\xE3\x2E\x06\xE5\x38\x87\x81\xA1\xCB\x57\x31\x7C\x0B\xA6\x30\x5E\x91\x09\x61\xD0\x10\x02\xF0")
, ( 20
, "\xD5\xC7\xF6\x79\x7B\x7E\x7E\x9C\x1D\x7F\xD2\x61\x0B\x2A\xBF\x2B\xC5\xA7\x88\x5F\xB3\xFF\x78\x09\x2F\xB3\xAB\xE8\x98\x6D\x35\xE2"
, "\x74\x4E\x17\x31\x2B\x27\x96\x9D\x82\x64\x44\x64\x0E\x9C\x4A\x37\x8A\xE3\x34\xF1\x85\x36\x9C\x95"
, "\x77\x58\x29\x8C\x62\x8E\xB3\xA4\xB6\x96\x3C\x54\x45\xEF\x66\x97\x12\x22\xBE\x5D\x1A\x4A\xD8\x39\x71\x5D\x11\x88\x07\x17\x39\xB7\x7C\xC6\xE0\x5D\x54\x10\xF9\x63\xA6\x41\x67\x62\x97\x57"
, "\x27\xB8\xCF\xE8\x14\x16\xA7\x63\x01\xFD\x1E\xEC\x6A\x4D\x99\x67\x50\x69\xB2\xDA\x27\x76\xC3\x60\xDB\x1B\xDF\xEA\x7C\x0A\xA6\x13\x91\x3E\x10\xF7\xA6\x0F\xEC\x04\xD1\x1E\x65\xF2\xD6\x4E")
, ( 20
, "\x73\x7D\x78\x11\xCE\x96\x47\x2E\xFE\xD1\x22\x58\xB7\x81\x22\xF1\x1D\xEA\xEC\x87\x59\xCC\xBD\x71\xEA\xC6\xBB\xEF\xA6\x27\x78\x5C"
, "\x6F\xB2\xEE\x3D\xDA\x6D\xBD\x12\xF1\x27\x4F\x12\x67\x01\xEC\x75\xC3\x5C\x86\x60\x7A\xDB\x3E\xDD"
, "\x50\x13\x25\xFB\x26\x45\x26\x48\x64\xDF\x11\xFA\xA1\x7B\xBD\x58\x31\x2B\x77\xCA\xD3\xD9\x4A\xC8\xFB\x85\x42\xF0\xEB\x65\x3A\xD7\x3D\x7F\xCE\x93\x2B\xB8\x74\xCB\x89\xAC\x39\xFC\x47\xF8\x26\x7C\xF0\xF0\xC2\x09\xF2\x04\xB2\xD8\x57\x8A\x3B\xDF\x46\x1C\xB6\xA2\x71\xA4\x68\xBE\xBA\xCC\xD9\x68\x50\x14\xCC\xBC\x9A\x73\x61\x8C\x6A\x5E\x77\x8A\x21\xCC\x84\x16\xC6\x0A\xD2\x4D\xDC\x41\x7A\x13\x0D\x53\xED\xA6\xDF\xBF\xE4\x7D\x09\x17\x0A\x7B\xE1\xA7\x08\xB7\xB5\xF3\xAD\x46\x43\x10\xBE\x36\xD9\xA2\xA9\x5D\xC3\x9E\x83\xD3\x86\x67\xE8\x42\xEB\x64\x11\xE8\xA2\x37\x12\x29\x7B\x16\x5F\x69\x0C\x2D\x7C\xA1\xB1\x34\x6E\x3C\x1F\xCC\xF5\xCA\xFD\x4F\x8B\xE0"
, "\x67\x24\xC3\x72\xD2\xE9\x07\x4D\xA5\xE2\x7A\x6C\x54\xB2\xD7\x03\xDC\x1D\x4C\x9B\x1F\x8D\x90\xF0\x0C\x12\x2E\x69\x2A\xCE\x77\x00\xEA\xDC\xA9\x42\x54\x45\x07\xF1\x37\x5B\x65\x81\xD5\xA8\xFB\x39\x98\x1C\x1C\x0E\x6E\x1F\xF2\x14\x0B\x08\x2E\x9E\xC0\x16\xFC\xE1\x41\xD5\x19\x96\x47\xD4\x3B\x0B\x68\xBF\xD0\xFE\xA5\xE0\x0F\x46\x89\x62\xC7\x38\x4D\xD6\x12\x9A\xEA\x6A\x3F\xDF\xE7\x5A\xBB\x21\x0E\xD5\x60\x7C\xEF\x8F\xA0\xE1\x52\x83\x3D\x5A\xC3\x7D\x52\xE5\x57\xB9\x10\x98\xA3\x22\xE7\x6A\x45\xBB\xBC\xF4\x89\x9E\x79\x06\x18\xAA\x3F\x4C\x2E\x5E\x0F\xC3\xDE\x93\x26\x9A\x57\x7D\x77\xA5\x50\x2E\x8E\xA0\x2F\x71\x7B\x1D\xD2\xDF\x1E\xC6\x9D\x8B\x61\xCA")
, ( 20
, "\x76\x01\x58\xDA\x09\xF8\x9B\xBA\xB2\xC9\x9E\x69\x97\xF9\x52\x3A\x95\xFC\xEF\x10\x23\x9B\xCC\xA2\x57\x3B\x71\x05\xF6\x89\x8D\x34"
, "\x43\x63\x6B\x2C\xC3\x46\xFC\x8B\x7C\x85\xA1\x9B\xF5\x07\xBD\xC3\xDA\xFE\x95\x3B\x88\xC6\x9D\xBA"
, "\xD3\x0A\x6D\x42\xDF\xF4\x9F\x0E\xD0\x39\xA3\x06\xBA\xE9\xDE\xC8\xD9\xE8\x83\x66\xCC\x19\xE8\xC3\x64\x2F\xD5\x8F\xA0\x79\x4E\xBF\x80\x29\xD9\x49\x73\x03\x39\xB0\x82\x3A\x51\xF0\xF4\x9F\x0D\x2C\x71\xF1\x05\x1C\x1E\x0E\x2C\x86\x94\x1F\x17\x27\x89\xCD\xB1\xB0\x10\x74\x13\xE7\x0F\x98\x2F\xF9\x76\x18\x77\xBB\x52\x6E\xF1\xC3\xEB\x11\x06\xA9\x48\xD6\x0E\xF2\x1B\xD3\x5D\x32\xCF\xD6\x4F\x89\xB7\x9E\xD6\x3E\xCC\x5C\xCA\x56\x24\x6A\xF7\x36\x76\x6F\x28\x5D\x8E\x6B\x0D\xA9\xCB\x1C\xD2\x10\x20\x22\x3F\xFA\xCC\x5A\x32"
, "\xC8\x15\xB6\xB7\x9B\x64\xF9\x36\x9A\xEC\x8D\xCE\x8C\x75\x3D\xF8\xA5\x0F\x2B\xC9\x7C\x70\xCE\x2F\x01\x4D\xB3\x3A\x65\xAC\x58\x16\xBA\xC9\xE3\x0A\xC0\x8B\xDD\xED\x30\x8C\x65\xCB\x87\xE2\x8E\x2E\x71\xB6\x77\xDC\x25\xC5\xA6\x49\x9C\x15\x53\x55\x5D\xAF\x1F\x55\x27\x0A\x56\x95\x9D\xFF\xA0\xC6\x6F\x24\xE0\xAF\x00\x95\x1E\xC4\xBB\x59\xCC\xC3\xA6\xC5\xF5\x2E\x09\x81\x64\x7E\x53\xE4\x39\x31\x3A\x52\xC4\x0F\xA7\x00\x4C\x85\x5B\x6E\x6E\xB2\x5B\x21\x2A\x13\x8E\x84\x3A\x9B\xA4\x6E\xDB\x2A\x03\x9E\xE8\x2A\x26\x3A\xBE")
, ( 20
, "\x27\xBA\x7E\x81\xE7\xED\xD4\xE7\x1B\xE5\x3C\x07\xCE\x8E\x63\x31\x38\xF2\x87\xE1\x55\xC7\xFA\x9E\x84\xC4\xAD\x80\x4B\x7F\xA1\xB9"
, "\xEA\x05\xF4\xEB\xCD\x2F\xB6\xB0\x00\xDA\x06\x12\x86\x1B\xA5\x4F\xF5\xC1\x76\xFB\x60\x13\x91\xAA"
, "\xE0\x9F\xF5\xD2\xCB\x05\x0D\x69\xB2\xD4\x24\x94\xBD\xE5\x82\x52\x38\xC7\x56\xD6\x99\x1D\x99\xD7\xA2\x0D\x1E\xF0\xB8\x3C\x37\x1C\x89\x87\x26\x90\xB2\xFC\x11\xD5\x36\x9F\x4F\xC4\x97\x1B\x6D\x3D\x6C\x07\x8A\xEF\x9B\x0F\x05\xC0\xE6\x1A\xB8\x9C\x02\x51\x68\x05\x4D\xEF\xEB\x03\xFE\xF6\x33\x85\x87\x00\xC5\x8B\x12\x62\xCE\x01\x13\x00\x01\x26\x73\xE8\x93\xE4\x49\x01\xDC\x18\xEE\xE3\x10\x56\x99\xC4\x4C\x80\x58\x97\xBD\xAF\x77\x6A\xF1\x83\x31\x62\xA2\x1A"
, "\xA2\x3E\x7E\xF9\x3C\x5D\x06\x67\xC9\x6D\x9E\x40\x4D\xCB\xE6\xBE\x62\x02\x6F\xA9\x8F\x7A\x3F\xF9\xBA\x5D\x45\x86\x43\xA1\x6A\x1C\xEF\x72\x72\xDC\x60\x97\xA9\xB5\x2F\x35\x98\x35\x57\xC7\x7A\x11\xB3\x14\xB4\xF7\xD5\xDC\x2C\xCA\x15\xEE\x47\x61\x6F\x86\x18\x73\xCB\xFE\xD1\xD3\x23\x72\x17\x1A\x61\xE3\x8E\x44\x7F\x3C\xF3\x62\xB3\xAB\xBB\x2E\xD4\x17\x0D\x89\xDC\xB2\x81\x87\xB7\xBF\xD2\x06\xA3\xE0\x26\xF0\x84\xA7\xE0\xED\x63\xD3\x19\xDE\x6B\xC9\xAF\xC0")
, ( 20
, "\x67\x99\xD7\x6E\x5F\xFB\x5B\x49\x20\xBC\x27\x68\xBA\xFD\x3F\x8C\x16\x55\x4E\x65\xEF\xCF\x9A\x16\xF4\x68\x3A\x7A\x06\x92\x7C\x11"
, "\x61\xAB\x95\x19\x21\xE5\x4F\xF0\x6D\x9B\x77\xF3\x13\xA4\xE4\x9D\xF7\xA0\x57\xD5\xFD\x62\x79\x89"
, "\x47\x27\x66"
, "\x8F\xD7\xDF")
, ( 20
, "\xF6\x82\x38\xC0\x83\x65\xBB\x29\x3D\x26\x98\x0A\x60\x64\x88\xD0\x9C\x2F\x10\x9E\xDA\xFA\x0B\xBA\xE9\x93\x7B\x5C\xC2\x19\xA4\x9C"
, "\x51\x90\xB5\x1E\x9B\x70\x86\x24\x82\x0B\x5A\xBD\xF4\xE4\x0F\xAD\x1F\xB9\x50\xAD\x1A\xDC\x2D\x26"
, "\x47\xEC\x6B\x1F\x73\xC4\xB7\xFF\x52\x74\xA0\xBF\xD7\xF4\x5F\x86\x48\x12\xC8\x5A\x12\xFB\xCB\x3C\x2C\xF8\xA3\xE9\x0C\xF6\x6C\xCF\x2E\xAC\xB5\x21\xE7\x48\x36\x3C\x77\xF5\x2E\xB4\x26\xAE\x57\xA0\xC6\xC7\x8F\x75\xAF\x71\x28\x45\x69\xE7\x9D\x1A\x92\xF9\x49\xA9\xD6\x9C\x4E\xFC\x0B\x69\x90\x2F\x1E\x36\xD7\x56\x27\x65\x54\x3E\x2D\x39\x42\xD9\xF6\xFF\x59\x48\xD8\xA3\x12\xCF\xF7\x2C\x1A\xFD\x9E\xA3\x08\x8A\xFF\x76\x40\xBF\xD2\x65\xF7\xA9\x94\x6E\x60\x6A\xBC\x77\xBC\xED\xAE\x6B\xDD\xC7\x5A\x0D\xBA\x0B\xD9\x17\xD7\x3E\x3B\xD1\x26\x8F\x72\x7E\x00\x96\x34\x5D\xA1\xED\x25\xCF\x55\x3E\xA7\xA9\x8F\xEA\x6B\x6F\x28\x57\x32\xDE\x37\x43\x15\x61\xEE\x1B\x30\x64\x88\x7F\xBC\xBD\x71\x93\x5E\x02"
, "\x36\x16\x0E\x88\xD3\x50\x05\x29\xBA\x4E\xDB\xA1\x7B\xC2\x4D\x8C\xFA\xCA\x9A\x06\x80\xB3\xB1\xFC\x97\xCF\x03\xF3\x67\x5B\x7A\xC3\x01\xC8\x83\xA6\x8C\x07\x1B\xC5\x4A\xCD\xD3\xB6\x3A\xF4\xA2\xD7\x2F\x98\x5E\x51\xF9\xD6\x0A\x4C\x7F\xD4\x81\xAF\x10\xB2\xFC\x75\xE2\x52\xFD\xEE\x7E\xA6\xB6\x45\x31\x90\x61\x7D\xCC\x6E\x2F\xE1\xCD\x56\x58\x5F\xC2\xF0\xB0\xE9\x7C\x5C\x3F\x8A\xD7\xEB\x4F\x31\xBC\x48\x90\xC0\x38\x82\xAA\xC2\x4C\xC5\x3A\xCC\x19\x82\x29\x65\x26\x69\x0A\x22\x02\x71\xC2\xF6\xE3\x26\x75\x0D\x3F\xBD\xA5\xD5\xB6\x35\x12\xC8\x31\xF6\x78\x30\xF5\x9A\xC4\x9A\xAE\x33\x0B\x3E\x0E\x02\xC9\xEA\x00\x91\xD1\x98\x41\xF1\xB0\xE1\x3D\x69\xC9\xFB\xFE\x8A\x12\xD6\xF3\x0B\xB7\x34\xD9\xD2")
, ( 20
, "\x45\xB2\xBD\x0D\xE4\xED\x92\x93\xEC\x3E\x26\xC4\x84\x0F\xAA\xF6\x4B\x7D\x61\x9D\x51\xE9\xD7\xA2\xC7\xE3\x6C\x83\xD5\x84\xC3\xDF"
, "\x54\x6C\x8C\x5D\x6B\xE8\xF9\x09\x52\xCA\xB3\xF3\x6D\x7C\x19\x57\xBA\xAA\x7A\x59\xAB\xE3\xD7\xE5"
, "\x50\x07\xC8\xCD\x5B\x3C\x40\xE1\x7D\x7F\xE4\x23\xA8\x7A\xE0\xCE\xD8\x6B\xEC\x1C\x39\xDC\x07\xA2\x57\x72\xF3\xE9\x6D\xAB\xD5\x6C\xD3\xFD\x73\x19\xF6\xC9\x65\x49\x25\xF2\xD8\x70\x87\xA7\x00\xE1\xB1\x30\xDA\x79\x68\x95\xD1\xC9\xB9\xAC\xD6\x2B\x26\x61\x44\x06\x7D\x37\x3E\xD5\x1E\x78\x74\x98\xB0\x3C\x52\xFA\xAD\x16\xBB\x38\x26\xFA\x51\x1B\x0E\xD2\xA1\x9A\x86\x63\xF5\xBA\x2D\x6E\xA7\xC3\x8E\x72\x12\xE9\x69\x7D\x91\x48\x6C\x49\xD8\xA0\x00\xB9\xA1\x93\x5D\x6A\x7F\xF7\xEF\x23\xE7\x20\xA4\x58\x55\x48\x14\x40\x46\x3B\x4A\xC8\xC4\xF6\xE7\x06\x2A\xDC\x1F\x1E\x1E\x25\xD3\xD6\x5A\x31\x81\x2F\x58\xA7\x11\x60"
, "\x8E\xAC\xFB\xA5\x68\x89\x8B\x10\xC0\x95\x7A\x7D\x44\x10\x06\x85\xE8\x76\x3A\x71\xA6\x9A\x8D\x16\xBC\x7B\x3F\x88\x08\x5B\xB9\xA2\xF0\x96\x42\xE4\xD0\x9A\x9F\x0A\xD0\x9D\x0A\xAD\x66\xB2\x26\x10\xC8\xBD\x02\xFF\x66\x79\xBB\x92\xC2\xC0\x26\xA2\x16\xBF\x42\x5C\x6B\xE3\x5F\xB8\xDA\xE7\xFF\x0C\x72\xB0\xEF\xD6\xA1\x80\x37\xC7\x0E\xED\x0C\xA9\x00\x62\xA4\x9A\x3C\x97\xFD\xC9\x0A\x8F\x9C\x2E\xA5\x36\xBF\xDC\x41\x91\x8A\x75\x82\xC9\x92\x7F\xAE\x47\xEF\xAA\x3D\xC8\x79\x67\xB7\x88\x7D\xEE\x1B\xF0\x71\x73\x4C\x76\x65\x90\x1D\x91\x05\xDA\xE2\xFD\xF6\x6B\x49\x18\xE5\x1D\x8F\x4A\x48\xC6\x0D\x19\xFB\xFB\xBC\xBA")
, ( 20
, "\xFE\x55\x9C\x9A\x28\x2B\xEB\x40\x81\x4D\x01\x6D\x6B\xFC\xB2\xC0\xC0\xD8\xBF\x07\x7B\x11\x10\xB8\x70\x3A\x3C\xE3\x9D\x70\xE0\xE1"
, "\xB0\x76\x20\x0C\xC7\x01\x12\x59\x80\x5E\x18\xB3\x04\x09\x27\x54\x00\x27\x23\xEB\xEC\x5D\x62\x00"
, "\x6D\xB6\x5B\x9E\xC8\xB1\x14\xA9\x44\x13\x7C\x82\x1F\xD6\x06\xBE\x75\x47\x8D\x92\x83\x66\xD5\x28\x40\x96\xCD\xEF\x78\x2F\xCF\xF7\xE8\xF5\x9C\xB8\xFF\xCD\xA9\x79\x75\x79\x02\xC5\xFF\xA6\xBC\x47\x7C\xEA\xA4\xCB\x5D\x5E\xA7\x6F\x94\xD9\x1E\x83\x3F\x82\x3A\x6B\xC7\x8F\x10\x55\xDF\xA6\xA9\x7B\xEA\x89\x65\xC1\xCD\xE6\x7A\x66\x8E\x00\x12\x57\x33\x4A\x58\x57\x27\xD9\xE0\xF7\xC1\xA0\x6E\x88\xD3\xD2\x5A\x4E\x6D\x90\x96\xC9\x68\xBF\x13\x8E\x11\x6A\x3E\xBE\xFF\xD4\xBB\x48\x08\xAD\xB1\xFD\x69\x81\x64\xBA\x0A\x35\xC7\x09\xA4\x7F\x16\xF1\xF4\x43\x5A\x23\x45\xA9\x19\x4A\x00\xB9\x5A\xBD\x51\x85\x1D\x50\x58\x09\xA6\x07\x7D\xA9\xBA\xCA\x58\x31\xAF\xFF\x31\x57\x8C\x48\x7E\xE6\x8F\x27\x67\x97\x4A\x98\xA7\xE8\x03\xAA\xC7\x88\xDA\x98\x31\x9C\x4E\xA8\xEA\xA3\xD3\x94\x85\x56\x51\xF4\x84\xCE\xF5\x43\xF5\x37\xE3\x51\x58\xEE\x29"
, "\x4D\xCE\x9C\x8F\x97\xA0\x28\x05\x1B\x07\x27\xF3\x4E\x1B\x9E\xF2\x1F\x06\xF0\x76\x0F\x36\xE7\x17\x13\x20\x40\x27\x90\x20\x90\xBA\x2B\xB6\xB1\x34\x36\xEE\x77\x8D\x9F\x50\x53\x0E\xFB\xD7\xA3\x2B\x0D\x41\x44\x3F\x58\xCC\xAE\xE7\x81\xC7\xB7\x16\xD3\xA9\x6F\xDE\xC0\xE3\x76\x4E\xD7\x95\x9F\x34\xC3\x94\x12\x78\x59\x1E\xA0\x33\xB5\xCB\xAD\xC0\xF1\x91\x60\x32\xE9\xBE\xBB\xD1\xA8\x39\x5B\x83\xFB\x63\xB1\x45\x4B\xD7\x75\xBD\x20\xB3\xA2\xA9\x6F\x95\x12\x46\xAC\x14\xDA\xF6\x81\x66\xBA\x62\xF6\xCB\xFF\x8B\xD1\x21\xAC\x94\x98\xFF\x88\x52\xFD\x2B\xE9\x75\xDF\x52\xB5\xDA\xEF\x38\x29\xD1\x8E\xDA\x42\xE7\x15\x02\x2D\xCB\xF9\x30\xD0\xA7\x89\xEE\x6A\x14\x6C\x2C\x70\x88\xC3\x57\x73\xC6\x3C\x06\xB4\xAF\x45\x59\x85\x6A\xC1\x99\xCE\xD8\x68\x63\xE4\x29\x47\x07\x82\x53\x37\xC5\x85\x79\x70\xEB\x7F\xDD\xEB\x26\x37\x81\x30\x90\x11")
, ( 20
, "\x0A\xE1\x00\x12\xD7\xE5\x66\x14\xB0\x3D\xCC\x89\xB1\x4B\xAE\x92\x42\xFF\xE6\x30\xF3\xD7\xE3\x5C\xE8\xBB\xB9\x7B\xBC\x2C\x92\xC3"
, "\xF9\x6B\x02\x5D\x6C\xF4\x6A\x8A\x12\xAC\x2A\xF1\xE2\xAE\xF1\xFB\x83\x59\x0A\xDA\xDA\xA5\xC5\xEA"
, "\xEA\x0F\x35\x4E\x96\xF1\x2B\xC7\x2B\xBA\xA3\xD1\x2B\x4A\x8E\xD8\x79\xB0\x42\xF0\x68\x98\x78\xF4\x6B\x65\x1C\xC4\x11\x6D\x6F\x78\x40\x9B\x11\x43\x0B\x3A\xAA\x30\xB2\x07\x68\x91\xE8\xE1\xFA\x52\x8F\x2F\xD1\x69\xED\x93\xDC\x9F\x84\xE2\x44\x09\xEE\xC2\x10\x1D\xAF\x4D\x05\x7B\xE2\x49\x2D\x11\xDE\x64\x0C\xBD\x7B\x35\x5A\xD2\x9F\xB7\x04\x00\xFF\xFD\x7C\xD6\xD4\x25\xAB\xEE\xB7\x32\xA0\xEA\xA4\x33\x0A\xF4\xC6\x56\x25\x2C\x41\x73\xDE\xAB\x65\x3E\xB8\x5C\x58\x46\x2D\x7A\xB0\xF3\x5F\xD1\x2B\x61\x3D\x29\xD4\x73\xD3\x30\x31\x0D\xC3\x23\xD3\xC6\x63\x48\xBB\xDB\xB6\x8A\x32\x63\x24\x65\x7C\xAE\x7B\x77\xA9\xE3\x43\x58\xF2\xCE\xC5\x0C\x85\x60\x9E\x73\x05\x68\x56\x79\x6E\x3B\xE8\xD6\x2B\x6E\x2F\xE9\xF9\x53"
, "\xE8\xAB\xD4\x89\x24\xB5\x4E\x5B\x80\x86\x6B\xE7\xD4\xEB\xE5\xCF\x42\x74\xCA\xFF\xF0\x8B\x39\xCB\x2D\x40\xA8\xF0\xB4\x72\x39\x8A\xED\xC7\x76\xE0\x79\x38\x12\xFB\xF1\xF6\x00\x78\x63\x5D\x2E\xD8\x6B\x15\xEF\xCD\xBA\x60\x41\x1E\xE2\x3B\x07\x23\x35\x92\xA4\x4E\xC3\x1B\x10\x13\xCE\x89\x64\x23\x66\x75\xF8\xF1\x83\xAE\xF8\x85\xE8\x64\xF2\xA7\x2E\xDF\x42\x15\xB5\x33\x8F\xA2\xB5\x46\x53\xDF\xA1\xA8\xC5\x5C\xE5\xD9\x5C\xC6\x05\xB9\xB3\x11\x52\x7F\x2E\x34\x63\xFF\xBE\xC7\x8A\x9D\x1D\x65\xDA\xBA\xD2\xF3\x38\x76\x9C\x9F\x43\xF1\x33\xA7\x91\xA1\x1C\x7E\xCA\x9A\xF0\xB7\x71\xA4\xAC\x32\x96\x3D\xC8\xF6\x31\xA2\xC1\x12\x17\xAC\x6E\x1B\x94\x30\xC1\xAA\xE1\xCE\xEB\xE2\x27\x03\xF4\x29\x99\x8A\x8F\xB8\xC6\x41")
, ( 20
, "\x08\x2C\x53\x9B\xC5\xB2\x0F\x97\xD7\x67\xCD\x3F\x22\x9E\xDA\x80\xB2\xAD\xC4\xFE\x49\xC8\x63\x29\xB5\xCD\x62\x50\xA9\x87\x74\x50"
, "\x84\x55\x43\x50\x2E\x8B\x64\x91\x2D\x8F\x2C\x8D\x9F\xFF\xB3\xC6\x93\x65\x68\x65\x87\xC0\x8D\x0C"
, "\xA9\x6B\xB7\xE9\x10\x28\x1A\x6D\xFA\xD7\xC8\xA9\xC3\x70\x67\x4F\x0C\xEE\xC1\xAD\x8D\x4F\x0D\xE3\x2F\x9A\xE4\xA2\x3E\xD3\x29\xE3\xD6\xBC\x70\x8F\x87\x66\x40\xA2\x29\x15\x3A\xC0\xE7\x28\x1A\x81\x88\xDD\x77\x69\x51\x38\xF0\x1C\xDA\x5F\x41\xD5\x21\x5F\xD5\xC6\xBD\xD4\x6D\x98\x2C\xB7\x3B\x1E\xFE\x29\x97\x97\x0A\x9F\xDB\xDB\x1E\x76\x8D\x7E\x5D\xB7\x12\x06\x8D\x8B\xA1\xAF\x60\x67\xB5\x75\x34\x95\xE2\x3E\x6E\x19\x63\xAF\x01\x2F\x9C\x7C\xE4\x50\xBF\x2D\xE6\x19\xD3\xD5\x95\x42\xFB\x55\xF3"
, "\x83\x5D\xA7\x4F\xC6\xDE\x08\xCB\xDA\x27\x7A\x79\x66\xA0\x7C\x8D\xCD\x62\x7E\x7B\x17\xAD\xDE\x6D\x93\x0B\x65\x81\xE3\x12\x4B\x8B\xAA\xD0\x96\xF6\x93\x99\x1F\xED\xB1\x57\x29\x30\x60\x1F\xC7\x70\x95\x41\x83\x9B\x8E\x3F\xFD\x5F\x03\x3D\x20\x60\xD9\x99\xC6\xC6\xE3\x04\x82\x76\x61\x3E\x64\x80\x00\xAC\xB5\x21\x2C\xC6\x32\xA9\x16\xAF\xCE\x29\x0E\x20\xEB\xDF\x61\x2D\x08\xA6\xAA\x4C\x79\xA7\x4B\x07\x0D\x3F\x87\x2A\x86\x1F\x8D\xC6\xBB\x07\x61\x4D\xB5\x15\xD3\x63\x34\x9D\x3A\x8E\x33\x36\xA3")
, ( 20
, "\x3D\x02\xBF\xF3\x37\x5D\x40\x30\x27\x35\x6B\x94\xF5\x14\x20\x37\x37\xEE\x9A\x85\xD2\x05\x2D\xB3\xE4\xE5\xA2\x17\xC2\x59\xD1\x8A"
, "\x74\x21\x6C\x95\x03\x18\x95\xF4\x8C\x1D\xBA\x65\x15\x55\xEB\xFA\x3C\xA3\x26\xA7\x55\x23\x70\x25"
, "\x0D\x4B\x0F\x54\xFD\x09\xAE\x39\xBA\xA5\xFA\x4B\xAC\xCF\x2E\x66\x82\xE6\x1B\x25\x7E\x01\xF4\x2B\x8F"
, "\x16\xC4\x00\x6C\x28\x36\x51\x90\x41\x1E\xB1\x59\x38\x14\xCF\x15\xE7\x4C\x22\x23\x8F\x21\x0A\xFC\x3D")
, ( 20
, "\xAD\x1A\x5C\x47\x68\x88\x74\xE6\x66\x3A\x0F\x3F\xA1\x6F\xA7\xEF\xB7\xEC\xAD\xC1\x75\xC4\x68\xE5\x43\x29\x14\xBD\xB4\x80\xFF\xC6"
, "\xE4\x89\xEE\xD4\x40\xF1\xAA\xE1\xFA\xC8\xFB\x7A\x98\x25\x63\x54\x54\xF8\xF8\xF1\xF5\x2E\x2F\xCC"
, "\xAA\x6C\x1E\x53\x58\x0F\x03\xA9\xAB\xB7\x3B\xFD\xAD\xED\xFE\xCA\xDA\x4C\x6B\x0E\xBE\x02\x0E\xF1\x0D\xB7\x45\xE5\x4B\xA8\x61\xCA\xF6\x5F\x0E\x40\xDF\xC5\x20\x20\x3B\xB5\x4D\x29\xE0\xA8\xF7\x8F\x16\xB3\xF1\xAA\x52\x5D\x6B\xFA\x33\xC5\x47\x26\xE5\x99\x88\xCF\xBE\xC7\x80\x56"
, "\x02\xFE\x84\xCE\x81\xE1\x78\xE7\xAA\xBD\xD3\xBA\x92\x5A\x76\x6C\x3C\x24\x75\x6E\xEF\xAE\x33\x94\x2A\xF7\x5E\x8B\x46\x45\x56\xB5\x99\x7E\x61\x6F\x3F\x2D\xFC\x7F\xCE\x91\x84\x8A\xFD\x79\x91\x2D\x9F\xB5\x52\x01\xB5\x81\x3A\x5A\x07\x4D\x2C\x0D\x42\x92\xC1\xFD\x44\x18\x07\xC5")
, ( 20
, "\x05\x3A\x02\xBE\xDD\x63\x68\xC1\xFB\x8A\xFC\x7A\x1B\x19\x9F\x7F\x7E\xA2\x22\x0C\x9A\x4B\x64\x2A\x68\x50\x09\x1C\x9D\x20\xAB\x9C"
, "\xC7\x13\xEE\xA5\xC2\x6D\xAD\x75\xAD\x3F\x52\x45\x1E\x00\x3A\x9C\xB0\xD6\x49\xF9\x17\xC8\x9D\xDE"
, "\x8F\x0A\x8A\x16\x47\x60\x42\x65\x67\xE3\x88\x84\x02\x76\xDE\x3F\x95\xCB\x5E\x3F\xAD\xC6\xED\x3F\x3E\x4F\xE8\xBC\x16\x9D\x93\x88\x80\x4D\xCB\x94\xB6\x58\x7D\xBB\x66\xCB\x0B\xD5\xF8\x7B\x8E\x98\xB5\x2A\xF3\x7B\xA2\x90\x62\x9B\x85\x8E\x0E\x2A\xA7\x37\x80\x47\xA2\x66\x02"
, "\x51\x67\x10\xE5\x98\x43\xE6\xFB\xD4\xF2\x5D\x0D\x8C\xA0\xEC\x0D\x47\xD3\x9D\x12\x5E\x9D\xAD\x98\x7E\x05\x18\xD4\x91\x07\x01\x4C\xB0\xAE\x40\x5E\x30\xC2\xEB\x37\x94\x75\x0B\xCA\x14\x2C\xE9\x5E\x29\x0C\xF9\x5A\xBE\x15\xE8\x22\x82\x3E\x2E\x7D\x3A\xB2\x1B\xC8\xFB\xD4\x45")
, ( 20
,"\x5B\x14\xAB\x0F\xBE\xD4\xC5\x89\x52\x54\x8A\x6C\xB1\xE0\x00\x0C\xF4\x48\x14\x21\xF4\x12\x88\xEA\x0A\xA8\x4A\xDD\x9F\x7D\xEB\x96"
, "\x54\xBF\x52\xB9\x11\x23\x1B\x95\x2B\xA1\xA6\xAF\x8E\x45\xB1\xC5\xA2\x9D\x97\xE2\xAB\xAD\x7C\x83"
, "\x37\xFB\x44\xA6\x75\x97\x8B\x56\x0F\xF9\xA4\xA8\x70\x11\xD6\xF3\xAD\x2D\x37\xA2\xC3\x81\x5B\x45\xA3\xC0\xE6\xD1\xB1\xD8\xB1\x78\x4C\xD4\x68\x92\x7C\x2E\xE3\x9E\x1D\xCC\xD4\x76\x5E\x1C\x3D\x67\x6A\x33\x5B\xE1\xCC\xD6\x90\x0A\x45\xF5\xD4\x1A\x31\x76\x48\x31\x5D\x8A\x8C\x24\xAD\xC6\x4E\xB2\x85\xF6\xAE\xBA\x05\xB9\x02\x95\x86\x35\x3D\x30\x3F\x17\xA8\x07\x65\x8B\x9F\xF7\x90\x47\x4E\x17\x37\xBD\x5F\xDC\x60\x4A\xEF\xF8\xDF\xCA\xF1\x42\x7D\xCC\x3A\xAC\xBB\x02\x56\xBA\xDC\xD1\x83\xED\x75\xA2\xDC\x52\x45\x2F\x87\xD3\xC1\xED\x2A\xA5\x83\x47\x2B\x0A\xB9\x1C\xDA\x20\x61\x4E\x9B\x6F\xDB\xDA\x3B\x49\xB0\x98\xC9\x58\x23\xCC\x72\xD8\xE5\xB7\x17\xF2\x31\x4B\x03\x24\xE9\xCE"
, "\xAE\x6D\xEB\x5D\x6C\xE4\x3D\x4B\x09\xD0\xE6\xB1\xC0\xE9\xF4\x61\x57\xBC\xD8\xAB\x50\xEA\xA3\x19\x7F\xF9\xFA\x2B\xF7\xAF\x64\x9E\xB5\x2C\x68\x54\x4F\xD3\xAD\xFE\x6B\x1E\xB3\x16\xF1\xF2\x35\x38\xD4\x70\xC3\x0D\xBF\xEC\x7E\x57\xB6\x0C\xBC\xD0\x96\xC7\x82\xE7\x73\x6B\x66\x91\x99\xC8\x25\x3E\x70\x21\x4C\xF2\xA0\x98\xFD\xA8\xEA\xC5\xDA\x79\xA9\x49\x6A\x3A\xAE\x75\x4D\x03\xB1\x7C\x6D\x70\xD1\x02\x7F\x42\xBF\x7F\x95\xCE\x3D\x1D\x9C\x33\x88\x54\xE1\x58\xFC\xC8\x03\xE4\xD6\x26\x2F\xB6\x39\x52\x1E\x47\x11\x6E\xF7\x8A\x7A\x43\x7C\xA9\x42\x7B\xA6\x45\xCD\x64\x68\x32\xFE\xAB\x82\x2A\x20\x82\x78\xE4\x5E\x93\xE1\x18\xD7\x80\xB9\x88\xD6\x53\x97\xED\xDF\xD7\xA8\x19\x52\x6E")
, ( 20
, "\xD7\x46\x36\xE3\x41\x3A\x88\xD8\x5F\x32\x2C\xA8\x0F\xB0\xBD\x65\x0B\xD0\xBF\x01\x34\xE2\x32\x91\x60\xB6\x96\x09\xCD\x58\xA4\xB0"
, "\xEF\xB6\x06\xAA\x1D\x9D\x9F\x0F\x46\x5E\xAA\x7F\x81\x65\xF1\xAC\x09\xF5\xCB\x46\xFE\xCF\x2A\x57"
, "\xF8\x54\x71\xB7\x5F\x6E\xC8\x1A\xBA\xC2\x79\x9E\xC0\x9E\x98\xE2\x80\xB2\xFF\xD6\x4C\xA2\x85\xE5\xA0\x10\x9C\xFB\x31\xFF\xAB\x2D\x61\x7B\x2C\x29\x52\xA2\xA8\xA7\x88\xFC\x0D\xA2\xAF\x7F\x53\x07\x58\xF7\x4F\x1A\xB5\x63\x91\xAB\x5F\xF2\xAD\xBC\xC5\xBE\x2D\x6C\x7F\x49\xFB\xE8\x11\x81\x04\xC6\xFF\x9A\x23\xC6\xDF\xE5\x2F\x57\x95\x4E\x6A\x69\xDC\xEE\x5D\xB0\x6F\x51\x4F\x4A\x0A\x57\x2A\x9A\x85\x25\xD9\x61\xDA\xE7\x22\x69\xB9\x87\x18\x9D\x46\x5D\xF6\x10\x71\x19\xC7\xFA\x79\x08\x53\xE0\x63\xCB\xA0\xFA\xB7\x80\x0C\xA9\x32\xE2\x58\x88\x0F\xD7\x4C\x33\xC7\x84\x67\x5B\xED\xAD\x0E\x7C\x09\xE9\xCC\x4D\x63\xDD\x5E\x97\x13\xD5\xD4\xA0\x19\x6E\x6B\x56\x22\x26\xAC\x31\xB4\xF5\x7C\x04\xF9\x0A\x18\x19\x73\x73\x7D\xDC\x7E\x80\xF3\x64\x11\x2A\x9F\xBB\x43\x5E\xBD\xBC\xAB\xF7\xD4\x90\xCE\x52"
, "\xB2\xB7\x95\xFE\x6C\x1D\x4C\x83\xC1\x32\x7E\x01\x5A\x67\xD4\x46\x5F\xD8\xE3\x28\x13\x57\x5C\xBA\xB2\x63\xE2\x0E\xF0\x58\x64\xD2\xDC\x17\xE0\xE4\xEB\x81\x43\x6A\xDF\xE9\xF6\x38\xDC\xC1\xC8\xD7\x8F\x6B\x03\x06\xBA\xF9\x38\xE5\xD2\xAB\x0B\x3E\x05\xE7\x35\xCC\x6F\xFF\x2D\x6E\x02\xE3\xD6\x04\x84\xBE\xA7\xC7\xA8\xE1\x3E\x23\x19\x7F\xEA\x7B\x04\xD4\x7D\x48\xF4\xA4\xE5\x94\x41\x74\x53\x94\x92\x80\x0D\x3E\xF5\x1E\x2E\xE5\xE4\xC8\xA0\xBD\xF0\x50\xC2\xDD\x3D\xD7\x4F\xCE\x5E\x7E\x5C\x37\x36\x4F\x75\x47\xA1\x14\x80\xA3\x06\x3B\x9A\x0A\x15\x7B\x15\xB1\x0A\x5A\x95\x4D\xE2\x73\x1C\xED\x05\x5A\xA2\xE2\x76\x7F\x08\x91\xD4\x32\x9C\x42\x6F\x38\x08\xEE\x86\x7B\xED\x0D\xC7\x5B\x59\x22\xB7\xCF\xB8\x95\x70\x0F\xDA\x01\x61\x05\xA4\xC7\xB7\xF0\xBB\x90\xF0\x29\xF6\xBB\xCB\x04\xAC\x36\xAC\x16")
]
tests = testGroup "XSalsa"
[ testGroup "KAT" $
map (\(i,f) -> testCase (show (i :: Int)) f) $ zip [1..] $ map (\(r, k, i, p, e) -> salsaRunSimple r k i p e) vectors
]
where
salsaRunSimple rounds key nonce plain expected =
let salsa = XSalsa.initialize rounds key nonce
in fst (XSalsa.combine salsa plain) @?= expected