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org.bouncycastle.crypto.engines.DSTU7624Engine Maven / Gradle / Ivy
package org.bouncycastle.crypto.engines;
import org.bouncycastle.crypto.BlockCipher;
import org.bouncycastle.crypto.CipherParameters;
import org.bouncycastle.crypto.DataLengthException;
import org.bouncycastle.crypto.OutputLengthException;
import org.bouncycastle.crypto.params.KeyParameter;
import org.bouncycastle.util.Arrays;
import org.bouncycastle.util.Pack;
/*
* Reference implementation of DSTU7624 national Ukrainian standard of block encryption.
* Thanks to Roman Oliynikov' native C implementation:
* https://github.com/Roman-Oliynikov/Kalyna-reference
*
* DSTU7564 is very similar to AES but with some security improvements in key schedule algorithm
* and supports different block and key lengths (128/256/512 bits).
*/
public class DSTU7624Engine
implements BlockCipher
{
private long[] internalState;
private long[] workingKey;
private long[][] roundKeys;
/* Number of 64-bit words in block */
private int wordsInBlock;
/* Number of 64-bit words in key */
private int wordsInKey;
/* Number of encryption rounds depending on key length */
private static final int ROUNDS_128 = 10;
private static final int ROUNDS_256 = 14;
private static final int ROUNDS_512 = 18;
private int roundsAmount;
private boolean forEncryption;
public DSTU7624Engine(int blockBitLength)
throws IllegalArgumentException
{
/* DSTU7624 supports 128 | 256 | 512 key/block sizes */
if (blockBitLength != 128 && blockBitLength != 256 && blockBitLength != 512)
{
throw new IllegalArgumentException("unsupported block length: only 128/256/512 are allowed");
}
wordsInBlock = blockBitLength >>> 6;
internalState = new long[wordsInBlock];
}
public void init(boolean forEncryption, CipherParameters params)
throws IllegalArgumentException
{
if (!(params instanceof KeyParameter))
{
throw new IllegalArgumentException("Invalid parameter passed to DSTU7624Engine init");
}
this.forEncryption = forEncryption;
byte[] keyBytes = ((KeyParameter)params).getKey();
int keyBitLength = keyBytes.length << 3;
int blockBitLength = wordsInBlock << 6;
if (keyBitLength != 128 && keyBitLength != 256 && keyBitLength != 512)
{
throw new IllegalArgumentException("unsupported key length: only 128/256/512 are allowed");
}
/* Limitations on key lengths depending on block lengths. See table 6.1 in standard */
if (keyBitLength != blockBitLength && keyBitLength != (2 * blockBitLength))
{
throw new IllegalArgumentException("Unsupported key length");
}
switch (keyBitLength)
{
case 128:
roundsAmount = ROUNDS_128;
break;
case 256:
roundsAmount = ROUNDS_256;
break;
case 512:
roundsAmount = ROUNDS_512;
break;
}
wordsInKey = keyBitLength >>> 6;
/* +1 round key as defined in standard */
roundKeys = new long[roundsAmount + 1][];
for (int roundKeyIndex = 0; roundKeyIndex < roundKeys.length; roundKeyIndex++)
{
roundKeys[roundKeyIndex] = new long[wordsInBlock];
}
workingKey = new long[wordsInKey];
if (keyBytes.length != (keyBitLength >>> 3))
{
throw new IllegalArgumentException("Invalid key parameter passed to DSTU7624Engine init");
}
/* Unpack encryption key bytes to words */
Pack.littleEndianToLong(keyBytes, 0, workingKey);
long[] tempKeys = new long[wordsInBlock];
/* KSA in DSTU7624 is strengthened to mitigate known weaknesses in AES KSA (eprint.iacr.org/2012/260.pdf) */
workingKeyExpandKT(workingKey, tempKeys);
workingKeyExpandEven(workingKey, tempKeys);
workingKeyExpandOdd();
}
public String getAlgorithmName()
{
return "DSTU7624";
}
public int getBlockSize()
{
return wordsInBlock << 3;
}
public int processBlock(byte[] in, int inOff, byte[] out, int outOff)
throws DataLengthException, IllegalStateException
{
if (workingKey == null)
{
throw new IllegalStateException("DSTU7624Engine not initialised");
}
if (inOff + getBlockSize() > in.length)
{
throw new DataLengthException("Input buffer too short");
}
if (outOff + getBlockSize() > out.length)
{
throw new OutputLengthException("Output buffer too short");
}
if (forEncryption)
{
/* Encrypt */
switch (wordsInBlock)
{
case 2:
{
encryptBlock_128(in, inOff, out, outOff);
break;
}
default:
{
Pack.littleEndianToLong(in, inOff, internalState);
addRoundKey(0);
for (int round = 0;;)
{
subBytes();
shiftRows();
mixColumns();
if (++round == roundsAmount)
{
break;
}
xorRoundKey(round);
}
addRoundKey(roundsAmount);
Pack.longToLittleEndian(internalState, out, outOff);
break;
}
}
}
else
{
/* Decrypt */
switch (wordsInBlock)
{
case 2:
{
decryptBlock_128(in, inOff, out, outOff);
break;
}
default:
{
Pack.littleEndianToLong(in, inOff, internalState);
subRoundKey(roundsAmount);
for (int round = roundsAmount;;)
{
mixColumnsInv();
invShiftRows();
invSubBytes();
if (--round == 0)
{
break;
}
xorRoundKey(round);
}
subRoundKey(0);
Pack.longToLittleEndian(internalState, out, outOff);
break;
}
}
}
return getBlockSize();
}
public void reset()
{
Arrays.fill(internalState, 0);
}
private void addRoundKey(int round)
{
long[] roundKey = roundKeys[round];
for (int i = 0; i < wordsInBlock; ++i)
{
internalState[i] += roundKey[i];
}
}
private void subRoundKey(int round)
{
long[] roundKey = roundKeys[round];
for (int i = 0; i < wordsInBlock; ++i)
{
internalState[i] -= roundKey[i];
}
}
private void xorRoundKey(int round)
{
long[] roundKey = roundKeys[round];
for (int i = 0; i < wordsInBlock; ++i)
{
internalState[i] ^= roundKey[i];
}
}
private void workingKeyExpandKT(long[] workingKey, long[] tempKeys)
{
long[] k0 = new long[wordsInBlock];
long[] k1 = new long[wordsInBlock];
internalState = new long[wordsInBlock];
internalState[0] += wordsInBlock + wordsInKey + 1;
if (wordsInBlock == wordsInKey)
{
System.arraycopy(workingKey, 0, k0, 0, k0.length);
System.arraycopy(workingKey, 0, k1, 0, k1.length);
}
else
{
System.arraycopy(workingKey, 0, k0, 0, wordsInBlock);
System.arraycopy(workingKey, wordsInBlock, k1, 0, wordsInBlock);
}
for (int wordIndex = 0; wordIndex < internalState.length; wordIndex++)
{
internalState[wordIndex] += k0[wordIndex];
}
subBytes();
shiftRows();
mixColumns();
for (int wordIndex = 0; wordIndex < internalState.length; wordIndex++)
{
internalState[wordIndex] ^= k1[wordIndex];
}
subBytes();
shiftRows();
mixColumns();
for (int wordIndex = 0; wordIndex < internalState.length; wordIndex++)
{
internalState[wordIndex] += k0[wordIndex];
}
subBytes();
shiftRows();
mixColumns();
System.arraycopy(internalState, 0, tempKeys, 0, wordsInBlock);
}
private void workingKeyExpandEven(long[] workingKey, long[] tempKey)
{
long[] initialData = new long[wordsInKey];
long[] tempRoundKey = new long[wordsInBlock];
int round = 0;
System.arraycopy(workingKey, 0, initialData, 0, wordsInKey);
long tmv = 0x0001000100010001L;
while (true)
{
for (int wordIndex = 0; wordIndex < wordsInBlock; wordIndex++)
{
tempRoundKey[wordIndex] = tempKey[wordIndex] + tmv;
}
for (int wordIndex = 0; wordIndex < wordsInBlock; wordIndex++)
{
internalState[wordIndex] = initialData[wordIndex] + tempRoundKey[wordIndex];
}
subBytes();
shiftRows();
mixColumns();
for (int wordIndex = 0; wordIndex < wordsInBlock; wordIndex++)
{
internalState[wordIndex] ^= tempRoundKey[wordIndex];
}
subBytes();
shiftRows();
mixColumns();
for (int wordIndex = 0; wordIndex < wordsInBlock; wordIndex++)
{
internalState[wordIndex] += tempRoundKey[wordIndex];
}
System.arraycopy(internalState, 0, roundKeys[round], 0, wordsInBlock);
if (roundsAmount == round)
{
break;
}
if (wordsInBlock != wordsInKey)
{
round += 2;
tmv <<= 1;
for (int wordIndex = 0; wordIndex < wordsInBlock; wordIndex++)
{
tempRoundKey[wordIndex] = tempKey[wordIndex] + tmv;
}
for (int wordIndex = 0; wordIndex < wordsInBlock; wordIndex++)
{
internalState[wordIndex] = initialData[wordsInBlock + wordIndex] + tempRoundKey[wordIndex];
}
subBytes();
shiftRows();
mixColumns();
for (int wordIndex = 0; wordIndex < wordsInBlock; wordIndex++)
{
internalState[wordIndex] ^= tempRoundKey[wordIndex];
}
subBytes();
shiftRows();
mixColumns();
for (int wordIndex = 0; wordIndex < wordsInBlock; wordIndex++)
{
internalState[wordIndex] += tempRoundKey[wordIndex];
}
System.arraycopy(internalState, 0, roundKeys[round], 0, wordsInBlock);
if (roundsAmount == round)
{
break;
}
}
round += 2;
tmv <<= 1;
long temp = initialData[0];
for (int i = 1; i < initialData.length; ++i)
{
initialData[i - 1] = initialData[i];
}
initialData[initialData.length - 1] = temp;
}
}
private void workingKeyExpandOdd()
{
for (int roundIndex = 1; roundIndex < roundsAmount; roundIndex += 2)
{
rotateLeft(roundKeys[roundIndex - 1], roundKeys[roundIndex]);
}
}
private void decryptBlock_128(byte[] in, int inOff, byte[] out, int outOff)
{
long c0 = Pack.littleEndianToLong(in, inOff);
long c1 = Pack.littleEndianToLong(in, inOff + 8);
long[] roundKey = roundKeys[roundsAmount];
c0 -= roundKey[0];
c1 -= roundKey[1];
for (int round = roundsAmount;;)
{
c0 = mixColumnInv(c0);
c1 = mixColumnInv(c1);
int lo0 = (int)c0, hi0 = (int)(c0 >>> 32);
int lo1 = (int)c1, hi1 = (int)(c1 >>> 32);
{
byte t0 = T0[lo0 & 0xFF];
byte t1 = T1[(lo0 >>> 8) & 0xFF];
byte t2 = T2[(lo0 >>> 16) & 0xFF];
byte t3 = T3[lo0 >>> 24];
lo0 = (t0 & 0xFF) | ((t1 & 0xFF) << 8) | ((t2 & 0xFF) << 16) | ((int)t3 << 24);
byte t4 = T0[hi1 & 0xFF];
byte t5 = T1[(hi1 >>> 8) & 0xFF];
byte t6 = T2[(hi1 >>> 16) & 0xFF];
byte t7 = T3[hi1 >>> 24];
hi1 = (t4 & 0xFF) | ((t5 & 0xFF) << 8) | ((t6 & 0xFF) << 16) | ((int)t7 << 24);
c0 = (lo0 & 0xFFFFFFFFL) | ((long)hi1 << 32);
}
{
byte t0 = T0[lo1 & 0xFF];
byte t1 = T1[(lo1 >>> 8) & 0xFF];
byte t2 = T2[(lo1 >>> 16) & 0xFF];
byte t3 = T3[lo1 >>> 24];
lo1 = (t0 & 0xFF) | ((t1 & 0xFF) << 8) | ((t2 & 0xFF) << 16) | ((int)t3 << 24);
byte t4 = T0[hi0 & 0xFF];
byte t5 = T1[(hi0 >>> 8) & 0xFF];
byte t6 = T2[(hi0 >>> 16) & 0xFF];
byte t7 = T3[hi0 >>> 24];
hi0 = (t4 & 0xFF) | ((t5 & 0xFF) << 8) | ((t6 & 0xFF) << 16) | ((int)t7 << 24);
c1 = (lo1 & 0xFFFFFFFFL) | ((long)hi0 << 32);
}
if (--round == 0)
{
break;
}
roundKey = roundKeys[round];
c0 ^= roundKey[0];
c1 ^= roundKey[1];
}
roundKey = roundKeys[0];
c0 -= roundKey[0];
c1 -= roundKey[1];
Pack.longToLittleEndian(c0, out, outOff);
Pack.longToLittleEndian(c1, out, outOff + 8);
}
private void encryptBlock_128(byte[] in, int inOff, byte[] out, int outOff)
{
long c0 = Pack.littleEndianToLong(in, inOff);
long c1 = Pack.littleEndianToLong(in, inOff + 8);
long[] roundKey = roundKeys[0];
c0 += roundKey[0];
c1 += roundKey[1];
for (int round = 0;;)
{
int lo0 = (int)c0, hi0 = (int)(c0 >>> 32);
int lo1 = (int)c1, hi1 = (int)(c1 >>> 32);
{
byte t0 = S0[lo0 & 0xFF];
byte t1 = S1[(lo0 >>> 8) & 0xFF];
byte t2 = S2[(lo0 >>> 16) & 0xFF];
byte t3 = S3[lo0 >>> 24];
lo0 = (t0 & 0xFF) | ((t1 & 0xFF) << 8) | ((t2 & 0xFF) << 16) | ((int)t3 << 24);
byte t4 = S0[hi1 & 0xFF];
byte t5 = S1[(hi1 >>> 8) & 0xFF];
byte t6 = S2[(hi1 >>> 16) & 0xFF];
byte t7 = S3[hi1 >>> 24];
hi1 = (t4 & 0xFF) | ((t5 & 0xFF) << 8) | ((t6 & 0xFF) << 16) | ((int)t7 << 24);
c0 = (lo0 & 0xFFFFFFFFL) | ((long)hi1 << 32);
}
{
byte t0 = S0[lo1 & 0xFF];
byte t1 = S1[(lo1 >>> 8) & 0xFF];
byte t2 = S2[(lo1 >>> 16) & 0xFF];
byte t3 = S3[lo1 >>> 24];
lo1 = (t0 & 0xFF) | ((t1 & 0xFF) << 8) | ((t2 & 0xFF) << 16) | ((int)t3 << 24);
byte t4 = S0[hi0 & 0xFF];
byte t5 = S1[(hi0 >>> 8) & 0xFF];
byte t6 = S2[(hi0 >>> 16) & 0xFF];
byte t7 = S3[hi0 >>> 24];
hi0 = (t4 & 0xFF) | ((t5 & 0xFF) << 8) | ((t6 & 0xFF) << 16) | ((int)t7 << 24);
c1 = (lo1 & 0xFFFFFFFFL) | ((long)hi0 << 32);
}
c0 = mixColumn(c0);
c1 = mixColumn(c1);
if (++round == roundsAmount)
{
break;
}
roundKey = roundKeys[round];
c0 ^= roundKey[0];
c1 ^= roundKey[1];
}
roundKey = roundKeys[roundsAmount];
c0 += roundKey[0];
c1 += roundKey[1];
Pack.longToLittleEndian(c0, out, outOff);
Pack.longToLittleEndian(c1, out, outOff + 8);
}
private void subBytes()
{
for (int i = 0; i < wordsInBlock; i++)
{
long u = internalState[i];
int lo = (int)u, hi = (int)(u >>> 32);
byte t0 = S0[lo & 0xFF];
byte t1 = S1[(lo >>> 8) & 0xFF];
byte t2 = S2[(lo >>> 16) & 0xFF];
byte t3 = S3[lo >>> 24];
lo = (t0 & 0xFF) | ((t1 & 0xFF) << 8) | ((t2 & 0xFF) << 16) | ((int)t3 << 24);
byte t4 = S0[hi & 0xFF];
byte t5 = S1[(hi >>> 8) & 0xFF];
byte t6 = S2[(hi >>> 16) & 0xFF];
byte t7 = S3[hi >>> 24];
hi = (t4 & 0xFF) | ((t5 & 0xFF) << 8) | ((t6 & 0xFF) << 16) | ((int)t7 << 24);
internalState[i] = (lo & 0xFFFFFFFFL) | ((long)hi << 32);
}
}
private void invSubBytes()
{
for (int i = 0; i < wordsInBlock; i++)
{
long u = internalState[i];
int lo = (int)u, hi = (int)(u >>> 32);
byte t0 = T0[lo & 0xFF];
byte t1 = T1[(lo >>> 8) & 0xFF];
byte t2 = T2[(lo >>> 16) & 0xFF];
byte t3 = T3[lo >>> 24];
lo = (t0 & 0xFF) | ((t1 & 0xFF) << 8) | ((t2 & 0xFF) << 16) | ((int)t3 << 24);
byte t4 = T0[hi & 0xFF];
byte t5 = T1[(hi >>> 8) & 0xFF];
byte t6 = T2[(hi >>> 16) & 0xFF];
byte t7 = T3[hi >>> 24];
hi = (t4 & 0xFF) | ((t5 & 0xFF) << 8) | ((t6 & 0xFF) << 16) | ((int)t7 << 24);
internalState[i] = (lo & 0xFFFFFFFFL) | ((long)hi << 32);
}
}
private void shiftRows()
{
switch (wordsInBlock)
{
case 2:
{
long c0 = internalState[0], c1 = internalState[1];
long d;
d = (c0 ^ c1) & 0xFFFFFFFF00000000L; c0 ^= d; c1 ^= d;
internalState[0] = c0;
internalState[1] = c1;
break;
}
case 4:
{
long c0 = internalState[0], c1 = internalState[1], c2 = internalState[2], c3 = internalState[3];
long d;
d = (c0 ^ c2) & 0xFFFFFFFF00000000L; c0 ^= d; c2 ^= d;
d = (c1 ^ c3) & 0x0000FFFFFFFF0000L; c1 ^= d; c3 ^= d;
d = (c0 ^ c1) & 0xFFFF0000FFFF0000L; c0 ^= d; c1 ^= d;
d = (c2 ^ c3) & 0xFFFF0000FFFF0000L; c2 ^= d; c3 ^= d;
internalState[0] = c0;
internalState[1] = c1;
internalState[2] = c2;
internalState[3] = c3;
break;
}
case 8:
{
long c0 = internalState[0], c1 = internalState[1], c2 = internalState[2], c3 = internalState[3];
long c4 = internalState[4], c5 = internalState[5], c6 = internalState[6], c7 = internalState[7];
long d;
d = (c0 ^ c4) & 0xFFFFFFFF00000000L; c0 ^= d; c4 ^= d;
d = (c1 ^ c5) & 0x00FFFFFFFF000000L; c1 ^= d; c5 ^= d;
d = (c2 ^ c6) & 0x0000FFFFFFFF0000L; c2 ^= d; c6 ^= d;
d = (c3 ^ c7) & 0x000000FFFFFFFF00L; c3 ^= d; c7 ^= d;
d = (c0 ^ c2) & 0xFFFF0000FFFF0000L; c0 ^= d; c2 ^= d;
d = (c1 ^ c3) & 0x00FFFF0000FFFF00L; c1 ^= d; c3 ^= d;
d = (c4 ^ c6) & 0xFFFF0000FFFF0000L; c4 ^= d; c6 ^= d;
d = (c5 ^ c7) & 0x00FFFF0000FFFF00L; c5 ^= d; c7 ^= d;
d = (c0 ^ c1) & 0xFF00FF00FF00FF00L; c0 ^= d; c1 ^= d;
d = (c2 ^ c3) & 0xFF00FF00FF00FF00L; c2 ^= d; c3 ^= d;
d = (c4 ^ c5) & 0xFF00FF00FF00FF00L; c4 ^= d; c5 ^= d;
d = (c6 ^ c7) & 0xFF00FF00FF00FF00L; c6 ^= d; c7 ^= d;
internalState[0] = c0;
internalState[1] = c1;
internalState[2] = c2;
internalState[3] = c3;
internalState[4] = c4;
internalState[5] = c5;
internalState[6] = c6;
internalState[7] = c7;
break;
}
default:
{
throw new IllegalStateException("unsupported block length: only 128/256/512 are allowed");
}
}
}
private void invShiftRows()
{
switch (wordsInBlock)
{
case 2:
{
long c0 = internalState[0], c1 = internalState[1];
long d;
d = (c0 ^ c1) & 0xFFFFFFFF00000000L; c0 ^= d; c1 ^= d;
internalState[0] = c0;
internalState[1] = c1;
break;
}
case 4:
{
long c0 = internalState[0], c1 = internalState[1], c2 = internalState[2], c3 = internalState[3];
long d;
d = (c0 ^ c1) & 0xFFFF0000FFFF0000L; c0 ^= d; c1 ^= d;
d = (c2 ^ c3) & 0xFFFF0000FFFF0000L; c2 ^= d; c3 ^= d;
d = (c0 ^ c2) & 0xFFFFFFFF00000000L; c0 ^= d; c2 ^= d;
d = (c1 ^ c3) & 0x0000FFFFFFFF0000L; c1 ^= d; c3 ^= d;
internalState[0] = c0;
internalState[1] = c1;
internalState[2] = c2;
internalState[3] = c3;
break;
}
case 8:
{
long c0 = internalState[0], c1 = internalState[1], c2 = internalState[2], c3 = internalState[3];
long c4 = internalState[4], c5 = internalState[5], c6 = internalState[6], c7 = internalState[7];
long d;
d = (c0 ^ c1) & 0xFF00FF00FF00FF00L; c0 ^= d; c1 ^= d;
d = (c2 ^ c3) & 0xFF00FF00FF00FF00L; c2 ^= d; c3 ^= d;
d = (c4 ^ c5) & 0xFF00FF00FF00FF00L; c4 ^= d; c5 ^= d;
d = (c6 ^ c7) & 0xFF00FF00FF00FF00L; c6 ^= d; c7 ^= d;
d = (c0 ^ c2) & 0xFFFF0000FFFF0000L; c0 ^= d; c2 ^= d;
d = (c1 ^ c3) & 0x00FFFF0000FFFF00L; c1 ^= d; c3 ^= d;
d = (c4 ^ c6) & 0xFFFF0000FFFF0000L; c4 ^= d; c6 ^= d;
d = (c5 ^ c7) & 0x00FFFF0000FFFF00L; c5 ^= d; c7 ^= d;
d = (c0 ^ c4) & 0xFFFFFFFF00000000L; c0 ^= d; c4 ^= d;
d = (c1 ^ c5) & 0x00FFFFFFFF000000L; c1 ^= d; c5 ^= d;
d = (c2 ^ c6) & 0x0000FFFFFFFF0000L; c2 ^= d; c6 ^= d;
d = (c3 ^ c7) & 0x000000FFFFFFFF00L; c3 ^= d; c7 ^= d;
internalState[0] = c0;
internalState[1] = c1;
internalState[2] = c2;
internalState[3] = c3;
internalState[4] = c4;
internalState[5] = c5;
internalState[6] = c6;
internalState[7] = c7;
break;
}
default:
{
throw new IllegalStateException("unsupported block length: only 128/256/512 are allowed");
}
}
}
private static long mixColumn(long c)
{
// // Calculate column multiplied by powers of 'x'
// long x0 = c;
// long x1 = mulX(x0);
// long x2 = mulX(x1);
// long x3 = mulX(x2);
//
// // Calculate products with circulant matrix from (0x01, 0x01, 0x05, 0x01, 0x08, 0x06, 0x07, 0x04)
// long m0 = x0;
// long m1 = x0;
// long m2 = x0 ^ x2;
// long m3 = x0;
// long m4 = x3;
// long m5 = x1 ^ x2;
// long m6 = x0 ^ x1 ^ x2;
// long m7 = x2;
//
// // Assemble the rotated products
// return m0
// ^ rotate(8, m1)
// ^ rotate(16, m2)
// ^ rotate(24, m3)
// ^ rotate(32, m4)
// ^ rotate(40, m5)
// ^ rotate(48, m6)
// ^ rotate(56, m7);
long x1 = mulX(c);
long u, v;
u = rotate(8, c) ^ c;
u ^= rotate(16, u);
u ^= rotate(48, c);
v = mulX2(u ^ c ^ x1);
return u ^ rotate(32, v) ^ rotate(40, x1) ^ rotate(48, x1);
}
private void mixColumns()
{
for (int col = 0; col < wordsInBlock; ++col)
{
internalState[col] = mixColumn(internalState[col]);
}
}
private static long mixColumnInv(long c)
{
/*
// Calculate column multiplied by powers of 'x'
long x0 = c;
long x1 = mulX(x0);
long x2 = mulX(x1);
long x3 = mulX(x2);
long x4 = mulX(x3);
long x5 = mulX(x4);
long x6 = mulX(x5);
long x7 = mulX(x6);
// Calculate products with circulant matrix from (0xAD,0x95,0x76,0xA8,0x2F,0x49,0xD7,0xCA)
// long m0 = x0 ^ x2 ^ x3 ^ x5 ^ x7;
// long m1 = x0 ^ x2 ^ x4 ^ x7;
// long m2 = x1 ^ x2 ^ x4 ^ x5 ^ x6;
// long m3 = x3 ^ x5 ^ x7;
// long m4 = x0 ^ x1 ^ x2 ^ x3 ^ x5;
// long m5 = x0 ^ x3 ^ x6;
// long m6 = x0 ^ x1 ^ x2 ^ x4 ^ x6 ^ x7;
// long m7 = x1 ^ x3 ^ x6 ^ x7;
long m5 = x0 ^ x3 ^ x6;
x0 ^= x2;
long m3 = x3 ^ x5 ^ x7;
long m0 = m3 ^ x0;
long m6 = x0 ^ x4;
long m1 = m6 ^ x7;
x5 ^= x1;
x7 ^= x1 ^ x6;
long m2 = x2 ^ x4 ^ x5 ^ x6;
long m4 = x0 ^ x3 ^ x5;
m6 ^= x7;
long m7 = x3 ^ x7;
// Assemble the rotated products
return m0
^ rotate(8, m1)
^ rotate(16, m2)
^ rotate(24, m3)
^ rotate(32, m4)
^ rotate(40, m5)
^ rotate(48, m6)
^ rotate(56, m7);
*/
long u0 = c;
u0 ^= rotate( 8, u0);
u0 ^= rotate(32, u0);
u0 ^= rotate(48, c);
long t = u0 ^ c;
long c48 = rotate(48, c);
long c56 = rotate(56, c);
long u7 = t ^ c56;
long u6 = rotate(56, t);
u6 ^= mulX(u7);
long u5 = rotate(16, t) ^ c;
u5 ^= rotate(40, mulX(u6) ^ c);
long u4 = t ^ c48;
u4 ^= mulX(u5);
long u3 = rotate(16, u0);
u3 ^= mulX(u4);
long u2 = t ^ rotate(24, c) ^ c48 ^ c56;
u2 ^= mulX(u3);
long u1 = rotate(32, t) ^ c ^ c56;
u1 ^= mulX(u2);
u0 ^= mulX(rotate(40, u1));
return u0;
}
private void mixColumnsInv()
{
for (int col = 0; col < wordsInBlock; ++col)
{
internalState[col] = mixColumnInv(internalState[col]);
}
}
private static long mulX(long n)
{
return ((n & 0x7F7F7F7F7F7F7F7FL) << 1) ^ (((n & 0x8080808080808080L) >>> 7) * 0x1DL);
}
private static long mulX2(long n)
{
return ((n & 0x3F3F3F3F3F3F3F3FL) << 2) ^ (((n & 0x8080808080808080L) >>> 6) * 0x1DL) ^ (((n & 0x4040404040404040L) >>> 6) * 0x1DL);
}
// private static long mulX4(long n)
// {
// long u = n & 0xF0F0F0F0F0F0F0F0L;
// return ((n & 0x0F0F0F0F0F0F0F0FL) << 4) ^ u ^ (u >>> 1) ^ (u >>> 2) ^ (u >>> 4);
// }
/*
* Pair-wise modular multiplication of 8 byte-pairs.
*
* REDUCTION_POLYNOMIAL is x^8 + x^4 + x^3 + x^2 + 1
*/
// private static long multiplyGFx8(long u, long v, int vMaxDegree)
// {
// long r = u & ((v & 0x0101010101010101L) * 0xFFL);
// for (int i = 1; i <= vMaxDegree; ++i)
// {
// u = ((u & 0x7F7F7F7F7F7F7F7FL) << 1) ^ (((u >>> 7) & 0x0101010101010101L) * 0x1DL);
// v >>>= 1;
//
// r ^= u & ((v & 0x0101010101010101L) * 0xFFL);
// }
//
// return r;
// }
// private static long multiplyMDS(long u)
// {
// long r = 0, s = 0, t = (u >>> 8);
// r ^= u & 0x0000001F00000000L; r <<= 1;
// s ^= t & 0x00000000E0000000L; s <<= 1;
// r ^= u & 0x3F3F3F00003F0000L; r <<= 1;
// s ^= t & 0x00C0C0C00000C000L; s <<= 1;
// r ^= u & 0x007F7F0000000000L; r <<= 1;
// s ^= t & 0x0000808000000000L; s <<= 1;
// r ^= u & 0x00FF0000FFFFFFFFL;
// r ^= s ^ (s << 2) ^ (s << 3) ^ (s << 4);
// return r;
// }
private static long rotate(int n, long x)
{
return (x >>> n) | (x << -n);
}
private void rotateLeft(long[] x, long[] z)
{
switch (wordsInBlock)
{
case 2:
{
long x0 = x[0], x1 = x[1];
z[0] = (x0 >>> 56) | (x1 << 8);
z[1] = (x1 >>> 56) | (x0 << 8);
break;
}
case 4:
{
long x0 = x[0], x1 = x[1], x2 = x[2], x3 = x[3];
z[0] = (x1 >>> 24) | (x2 << 40);
z[1] = (x2 >>> 24) | (x3 << 40);
z[2] = (x3 >>> 24) | (x0 << 40);
z[3] = (x0 >>> 24) | (x1 << 40);
break;
}
case 8:
{
long x0 = x[0], x1 = x[1], x2 = x[2], x3 = x[3];
long x4 = x[4], x5 = x[5], x6 = x[6], x7 = x[7];
z[0] = (x2 >>> 24) | (x3 << 40);
z[1] = (x3 >>> 24) | (x4 << 40);
z[2] = (x4 >>> 24) | (x5 << 40);
z[3] = (x5 >>> 24) | (x6 << 40);
z[4] = (x6 >>> 24) | (x7 << 40);
z[5] = (x7 >>> 24) | (x0 << 40);
z[6] = (x0 >>> 24) | (x1 << 40);
z[7] = (x1 >>> 24) | (x2 << 40);
break;
}
default:
{
throw new IllegalStateException("unsupported block length: only 128/256/512 are allowed");
}
}
}
// private static final long mdsMatrix = 0x0407060801050101L;
// private static final long mdsInvMatrix = 0xCAD7492FA87695ADL;
private static final byte[] S0 = new byte[]{ (byte)0xa8, (byte)0x43, (byte)0x5f, (byte)0x06, (byte)0x6b, (byte)0x75,
(byte)0x6c, (byte)0x59, (byte)0x71, (byte)0xdf, (byte)0x87, (byte)0x95, (byte)0x17, (byte)0xf0, (byte)0xd8,
(byte)0x09, (byte)0x6d, (byte)0xf3, (byte)0x1d, (byte)0xcb, (byte)0xc9, (byte)0x4d, (byte)0x2c, (byte)0xaf,
(byte)0x79, (byte)0xe0, (byte)0x97, (byte)0xfd, (byte)0x6f, (byte)0x4b, (byte)0x45, (byte)0x39, (byte)0x3e,
(byte)0xdd, (byte)0xa3, (byte)0x4f, (byte)0xb4, (byte)0xb6, (byte)0x9a, (byte)0x0e, (byte)0x1f, (byte)0xbf,
(byte)0x15, (byte)0xe1, (byte)0x49, (byte)0xd2, (byte)0x93, (byte)0xc6, (byte)0x92, (byte)0x72, (byte)0x9e,
(byte)0x61, (byte)0xd1, (byte)0x63, (byte)0xfa, (byte)0xee, (byte)0xf4, (byte)0x19, (byte)0xd5, (byte)0xad,
(byte)0x58, (byte)0xa4, (byte)0xbb, (byte)0xa1, (byte)0xdc, (byte)0xf2, (byte)0x83, (byte)0x37, (byte)0x42,
(byte)0xe4, (byte)0x7a, (byte)0x32, (byte)0x9c, (byte)0xcc, (byte)0xab, (byte)0x4a, (byte)0x8f, (byte)0x6e,
(byte)0x04, (byte)0x27, (byte)0x2e, (byte)0xe7, (byte)0xe2, (byte)0x5a, (byte)0x96, (byte)0x16, (byte)0x23,
(byte)0x2b, (byte)0xc2, (byte)0x65, (byte)0x66, (byte)0x0f, (byte)0xbc, (byte)0xa9, (byte)0x47, (byte)0x41,
(byte)0x34, (byte)0x48, (byte)0xfc, (byte)0xb7, (byte)0x6a, (byte)0x88, (byte)0xa5, (byte)0x53, (byte)0x86,
(byte)0xf9, (byte)0x5b, (byte)0xdb, (byte)0x38, (byte)0x7b, (byte)0xc3, (byte)0x1e, (byte)0x22, (byte)0x33,
(byte)0x24, (byte)0x28, (byte)0x36, (byte)0xc7, (byte)0xb2, (byte)0x3b, (byte)0x8e, (byte)0x77, (byte)0xba,
(byte)0xf5, (byte)0x14, (byte)0x9f, (byte)0x08, (byte)0x55, (byte)0x9b, (byte)0x4c, (byte)0xfe, (byte)0x60,
(byte)0x5c, (byte)0xda, (byte)0x18, (byte)0x46, (byte)0xcd, (byte)0x7d, (byte)0x21, (byte)0xb0, (byte)0x3f,
(byte)0x1b, (byte)0x89, (byte)0xff, (byte)0xeb, (byte)0x84, (byte)0x69, (byte)0x3a, (byte)0x9d, (byte)0xd7,
(byte)0xd3, (byte)0x70, (byte)0x67, (byte)0x40, (byte)0xb5, (byte)0xde, (byte)0x5d, (byte)0x30, (byte)0x91,
(byte)0xb1, (byte)0x78, (byte)0x11, (byte)0x01, (byte)0xe5, (byte)0x00, (byte)0x68, (byte)0x98, (byte)0xa0,
(byte)0xc5, (byte)0x02, (byte)0xa6, (byte)0x74, (byte)0x2d, (byte)0x0b, (byte)0xa2, (byte)0x76, (byte)0xb3,
(byte)0xbe, (byte)0xce, (byte)0xbd, (byte)0xae, (byte)0xe9, (byte)0x8a, (byte)0x31, (byte)0x1c, (byte)0xec,
(byte)0xf1, (byte)0x99, (byte)0x94, (byte)0xaa, (byte)0xf6, (byte)0x26, (byte)0x2f, (byte)0xef, (byte)0xe8,
(byte)0x8c, (byte)0x35, (byte)0x03, (byte)0xd4, (byte)0x7f, (byte)0xfb, (byte)0x05, (byte)0xc1, (byte)0x5e,
(byte)0x90, (byte)0x20, (byte)0x3d, (byte)0x82, (byte)0xf7, (byte)0xea, (byte)0x0a, (byte)0x0d, (byte)0x7e,
(byte)0xf8, (byte)0x50, (byte)0x1a, (byte)0xc4, (byte)0x07, (byte)0x57, (byte)0xb8, (byte)0x3c, (byte)0x62,
(byte)0xe3, (byte)0xc8, (byte)0xac, (byte)0x52, (byte)0x64, (byte)0x10, (byte)0xd0, (byte)0xd9, (byte)0x13,
(byte)0x0c, (byte)0x12, (byte)0x29, (byte)0x51, (byte)0xb9, (byte)0xcf, (byte)0xd6, (byte)0x73, (byte)0x8d,
(byte)0x81, (byte)0x54, (byte)0xc0, (byte)0xed, (byte)0x4e, (byte)0x44, (byte)0xa7, (byte)0x2a, (byte)0x85,
(byte)0x25, (byte)0xe6, (byte)0xca, (byte)0x7c, (byte)0x8b, (byte)0x56, (byte)0x80 };
private static final byte[] S1 = new byte[]{ (byte)0xce, (byte)0xbb, (byte)0xeb, (byte)0x92, (byte)0xea, (byte)0xcb,
(byte)0x13, (byte)0xc1, (byte)0xe9, (byte)0x3a, (byte)0xd6, (byte)0xb2, (byte)0xd2, (byte)0x90, (byte)0x17,
(byte)0xf8, (byte)0x42, (byte)0x15, (byte)0x56, (byte)0xb4, (byte)0x65, (byte)0x1c, (byte)0x88, (byte)0x43,
(byte)0xc5, (byte)0x5c, (byte)0x36, (byte)0xba, (byte)0xf5, (byte)0x57, (byte)0x67, (byte)0x8d, (byte)0x31,
(byte)0xf6, (byte)0x64, (byte)0x58, (byte)0x9e, (byte)0xf4, (byte)0x22, (byte)0xaa, (byte)0x75, (byte)0x0f,
(byte)0x02, (byte)0xb1, (byte)0xdf, (byte)0x6d, (byte)0x73, (byte)0x4d, (byte)0x7c, (byte)0x26, (byte)0x2e,
(byte)0xf7, (byte)0x08, (byte)0x5d, (byte)0x44, (byte)0x3e, (byte)0x9f, (byte)0x14, (byte)0xc8, (byte)0xae,
(byte)0x54, (byte)0x10, (byte)0xd8, (byte)0xbc, (byte)0x1a, (byte)0x6b, (byte)0x69, (byte)0xf3, (byte)0xbd,
(byte)0x33, (byte)0xab, (byte)0xfa, (byte)0xd1, (byte)0x9b, (byte)0x68, (byte)0x4e, (byte)0x16, (byte)0x95,
(byte)0x91, (byte)0xee, (byte)0x4c, (byte)0x63, (byte)0x8e, (byte)0x5b, (byte)0xcc, (byte)0x3c, (byte)0x19,
(byte)0xa1, (byte)0x81, (byte)0x49, (byte)0x7b, (byte)0xd9, (byte)0x6f, (byte)0x37, (byte)0x60, (byte)0xca,
(byte)0xe7, (byte)0x2b, (byte)0x48, (byte)0xfd, (byte)0x96, (byte)0x45, (byte)0xfc, (byte)0x41, (byte)0x12,
(byte)0x0d, (byte)0x79, (byte)0xe5, (byte)0x89, (byte)0x8c, (byte)0xe3, (byte)0x20, (byte)0x30, (byte)0xdc,
(byte)0xb7, (byte)0x6c, (byte)0x4a, (byte)0xb5, (byte)0x3f, (byte)0x97, (byte)0xd4, (byte)0x62, (byte)0x2d,
(byte)0x06, (byte)0xa4, (byte)0xa5, (byte)0x83, (byte)0x5f, (byte)0x2a, (byte)0xda, (byte)0xc9, (byte)0x00,
(byte)0x7e, (byte)0xa2, (byte)0x55, (byte)0xbf, (byte)0x11, (byte)0xd5, (byte)0x9c, (byte)0xcf, (byte)0x0e,
(byte)0x0a, (byte)0x3d, (byte)0x51, (byte)0x7d, (byte)0x93, (byte)0x1b, (byte)0xfe, (byte)0xc4, (byte)0x47,
(byte)0x09, (byte)0x86, (byte)0x0b, (byte)0x8f, (byte)0x9d, (byte)0x6a, (byte)0x07, (byte)0xb9, (byte)0xb0,
(byte)0x98, (byte)0x18, (byte)0x32, (byte)0x71, (byte)0x4b, (byte)0xef, (byte)0x3b, (byte)0x70, (byte)0xa0,
(byte)0xe4, (byte)0x40, (byte)0xff, (byte)0xc3, (byte)0xa9, (byte)0xe6, (byte)0x78, (byte)0xf9, (byte)0x8b,
(byte)0x46, (byte)0x80, (byte)0x1e, (byte)0x38, (byte)0xe1, (byte)0xb8, (byte)0xa8, (byte)0xe0, (byte)0x0c,
(byte)0x23, (byte)0x76, (byte)0x1d, (byte)0x25, (byte)0x24, (byte)0x05, (byte)0xf1, (byte)0x6e, (byte)0x94,
(byte)0x28, (byte)0x9a, (byte)0x84, (byte)0xe8, (byte)0xa3, (byte)0x4f, (byte)0x77, (byte)0xd3, (byte)0x85,
(byte)0xe2, (byte)0x52, (byte)0xf2, (byte)0x82, (byte)0x50, (byte)0x7a, (byte)0x2f, (byte)0x74, (byte)0x53,
(byte)0xb3, (byte)0x61, (byte)0xaf, (byte)0x39, (byte)0x35, (byte)0xde, (byte)0xcd, (byte)0x1f, (byte)0x99,
(byte)0xac, (byte)0xad, (byte)0x72, (byte)0x2c, (byte)0xdd, (byte)0xd0, (byte)0x87, (byte)0xbe, (byte)0x5e,
(byte)0xa6, (byte)0xec, (byte)0x04, (byte)0xc6, (byte)0x03, (byte)0x34, (byte)0xfb, (byte)0xdb, (byte)0x59,
(byte)0xb6, (byte)0xc2, (byte)0x01, (byte)0xf0, (byte)0x5a, (byte)0xed, (byte)0xa7, (byte)0x66, (byte)0x21,
(byte)0x7f, (byte)0x8a, (byte)0x27, (byte)0xc7, (byte)0xc0, (byte)0x29, (byte)0xd7 };
private static final byte[] S2 = new byte[]{ (byte)0x93, (byte)0xd9, (byte)0x9a, (byte)0xb5, (byte)0x98, (byte)0x22,
(byte)0x45, (byte)0xfc, (byte)0xba, (byte)0x6a, (byte)0xdf, (byte)0x02, (byte)0x9f, (byte)0xdc, (byte)0x51,
(byte)0x59, (byte)0x4a, (byte)0x17, (byte)0x2b, (byte)0xc2, (byte)0x94, (byte)0xf4, (byte)0xbb, (byte)0xa3,
(byte)0x62, (byte)0xe4, (byte)0x71, (byte)0xd4, (byte)0xcd, (byte)0x70, (byte)0x16, (byte)0xe1, (byte)0x49,
(byte)0x3c, (byte)0xc0, (byte)0xd8, (byte)0x5c, (byte)0x9b, (byte)0xad, (byte)0x85, (byte)0x53, (byte)0xa1,
(byte)0x7a, (byte)0xc8, (byte)0x2d, (byte)0xe0, (byte)0xd1, (byte)0x72, (byte)0xa6, (byte)0x2c, (byte)0xc4,
(byte)0xe3, (byte)0x76, (byte)0x78, (byte)0xb7, (byte)0xb4, (byte)0x09, (byte)0x3b, (byte)0x0e, (byte)0x41,
(byte)0x4c, (byte)0xde, (byte)0xb2, (byte)0x90, (byte)0x25, (byte)0xa5, (byte)0xd7, (byte)0x03, (byte)0x11,
(byte)0x00, (byte)0xc3, (byte)0x2e, (byte)0x92, (byte)0xef, (byte)0x4e, (byte)0x12, (byte)0x9d, (byte)0x7d,
(byte)0xcb, (byte)0x35, (byte)0x10, (byte)0xd5, (byte)0x4f, (byte)0x9e, (byte)0x4d, (byte)0xa9, (byte)0x55,
(byte)0xc6, (byte)0xd0, (byte)0x7b, (byte)0x18, (byte)0x97, (byte)0xd3, (byte)0x36, (byte)0xe6, (byte)0x48,
(byte)0x56, (byte)0x81, (byte)0x8f, (byte)0x77, (byte)0xcc, (byte)0x9c, (byte)0xb9, (byte)0xe2, (byte)0xac,
(byte)0xb8, (byte)0x2f, (byte)0x15, (byte)0xa4, (byte)0x7c, (byte)0xda, (byte)0x38, (byte)0x1e, (byte)0x0b,
(byte)0x05, (byte)0xd6, (byte)0x14, (byte)0x6e, (byte)0x6c, (byte)0x7e, (byte)0x66, (byte)0xfd, (byte)0xb1,
(byte)0xe5, (byte)0x60, (byte)0xaf, (byte)0x5e, (byte)0x33, (byte)0x87, (byte)0xc9, (byte)0xf0, (byte)0x5d,
(byte)0x6d, (byte)0x3f, (byte)0x88, (byte)0x8d, (byte)0xc7, (byte)0xf7, (byte)0x1d, (byte)0xe9, (byte)0xec,
(byte)0xed, (byte)0x80, (byte)0x29, (byte)0x27, (byte)0xcf, (byte)0x99, (byte)0xa8, (byte)0x50, (byte)0x0f,
(byte)0x37, (byte)0x24, (byte)0x28, (byte)0x30, (byte)0x95, (byte)0xd2, (byte)0x3e, (byte)0x5b, (byte)0x40,
(byte)0x83, (byte)0xb3, (byte)0x69, (byte)0x57, (byte)0x1f, (byte)0x07, (byte)0x1c, (byte)0x8a, (byte)0xbc,
(byte)0x20, (byte)0xeb, (byte)0xce, (byte)0x8e, (byte)0xab, (byte)0xee, (byte)0x31, (byte)0xa2, (byte)0x73,
(byte)0xf9, (byte)0xca, (byte)0x3a, (byte)0x1a, (byte)0xfb, (byte)0x0d, (byte)0xc1, (byte)0xfe, (byte)0xfa,
(byte)0xf2, (byte)0x6f, (byte)0xbd, (byte)0x96, (byte)0xdd, (byte)0x43, (byte)0x52, (byte)0xb6, (byte)0x08,
(byte)0xf3, (byte)0xae, (byte)0xbe, (byte)0x19, (byte)0x89, (byte)0x32, (byte)0x26, (byte)0xb0, (byte)0xea,
(byte)0x4b, (byte)0x64, (byte)0x84, (byte)0x82, (byte)0x6b, (byte)0xf5, (byte)0x79, (byte)0xbf, (byte)0x01,
(byte)0x5f, (byte)0x75, (byte)0x63, (byte)0x1b, (byte)0x23, (byte)0x3d, (byte)0x68, (byte)0x2a, (byte)0x65,
(byte)0xe8, (byte)0x91, (byte)0xf6, (byte)0xff, (byte)0x13, (byte)0x58, (byte)0xf1, (byte)0x47, (byte)0x0a,
(byte)0x7f, (byte)0xc5, (byte)0xa7, (byte)0xe7, (byte)0x61, (byte)0x5a, (byte)0x06, (byte)0x46, (byte)0x44,
(byte)0x42, (byte)0x04, (byte)0xa0, (byte)0xdb, (byte)0x39, (byte)0x86, (byte)0x54, (byte)0xaa, (byte)0x8c,
(byte)0x34, (byte)0x21, (byte)0x8b, (byte)0xf8, (byte)0x0c, (byte)0x74, (byte)0x67 };
private static final byte[] S3 = new byte[]{ (byte)0x68, (byte)0x8d, (byte)0xca, (byte)0x4d, (byte)0x73, (byte)0x4b,
(byte)0x4e, (byte)0x2a, (byte)0xd4, (byte)0x52, (byte)0x26, (byte)0xb3, (byte)0x54, (byte)0x1e, (byte)0x19,
(byte)0x1f, (byte)0x22, (byte)0x03, (byte)0x46, (byte)0x3d, (byte)0x2d, (byte)0x4a, (byte)0x53, (byte)0x83,
(byte)0x13, (byte)0x8a, (byte)0xb7, (byte)0xd5, (byte)0x25, (byte)0x79, (byte)0xf5, (byte)0xbd, (byte)0x58,
(byte)0x2f, (byte)0x0d, (byte)0x02, (byte)0xed, (byte)0x51, (byte)0x9e, (byte)0x11, (byte)0xf2, (byte)0x3e,
(byte)0x55, (byte)0x5e, (byte)0xd1, (byte)0x16, (byte)0x3c, (byte)0x66, (byte)0x70, (byte)0x5d, (byte)0xf3,
(byte)0x45, (byte)0x40, (byte)0xcc, (byte)0xe8, (byte)0x94, (byte)0x56, (byte)0x08, (byte)0xce, (byte)0x1a,
(byte)0x3a, (byte)0xd2, (byte)0xe1, (byte)0xdf, (byte)0xb5, (byte)0x38, (byte)0x6e, (byte)0x0e, (byte)0xe5,
(byte)0xf4, (byte)0xf9, (byte)0x86, (byte)0xe9, (byte)0x4f, (byte)0xd6, (byte)0x85, (byte)0x23, (byte)0xcf,
(byte)0x32, (byte)0x99, (byte)0x31, (byte)0x14, (byte)0xae, (byte)0xee, (byte)0xc8, (byte)0x48, (byte)0xd3,
(byte)0x30, (byte)0xa1, (byte)0x92, (byte)0x41, (byte)0xb1, (byte)0x18, (byte)0xc4, (byte)0x2c, (byte)0x71,
(byte)0x72, (byte)0x44, (byte)0x15, (byte)0xfd, (byte)0x37, (byte)0xbe, (byte)0x5f, (byte)0xaa, (byte)0x9b,
(byte)0x88, (byte)0xd8, (byte)0xab, (byte)0x89, (byte)0x9c, (byte)0xfa, (byte)0x60, (byte)0xea, (byte)0xbc,
(byte)0x62, (byte)0x0c, (byte)0x24, (byte)0xa6, (byte)0xa8, (byte)0xec, (byte)0x67, (byte)0x20, (byte)0xdb,
(byte)0x7c, (byte)0x28, (byte)0xdd, (byte)0xac, (byte)0x5b, (byte)0x34, (byte)0x7e, (byte)0x10, (byte)0xf1,
(byte)0x7b, (byte)0x8f, (byte)0x63, (byte)0xa0, (byte)0x05, (byte)0x9a, (byte)0x43, (byte)0x77, (byte)0x21,
(byte)0xbf, (byte)0x27, (byte)0x09, (byte)0xc3, (byte)0x9f, (byte)0xb6, (byte)0xd7, (byte)0x29, (byte)0xc2,
(byte)0xeb, (byte)0xc0, (byte)0xa4, (byte)0x8b, (byte)0x8c, (byte)0x1d, (byte)0xfb, (byte)0xff, (byte)0xc1,
(byte)0xb2, (byte)0x97, (byte)0x2e, (byte)0xf8, (byte)0x65, (byte)0xf6, (byte)0x75, (byte)0x07, (byte)0x04,
(byte)0x49, (byte)0x33, (byte)0xe4, (byte)0xd9, (byte)0xb9, (byte)0xd0, (byte)0x42, (byte)0xc7, (byte)0x6c,
(byte)0x90, (byte)0x00, (byte)0x8e, (byte)0x6f, (byte)0x50, (byte)0x01, (byte)0xc5, (byte)0xda, (byte)0x47,
(byte)0x3f, (byte)0xcd, (byte)0x69, (byte)0xa2, (byte)0xe2, (byte)0x7a, (byte)0xa7, (byte)0xc6, (byte)0x93,
(byte)0x0f, (byte)0x0a, (byte)0x06, (byte)0xe6, (byte)0x2b, (byte)0x96, (byte)0xa3, (byte)0x1c, (byte)0xaf,
(byte)0x6a, (byte)0x12, (byte)0x84, (byte)0x39, (byte)0xe7, (byte)0xb0, (byte)0x82, (byte)0xf7, (byte)0xfe,
(byte)0x9d, (byte)0x87, (byte)0x5c, (byte)0x81, (byte)0x35, (byte)0xde, (byte)0xb4, (byte)0xa5, (byte)0xfc,
(byte)0x80, (byte)0xef, (byte)0xcb, (byte)0xbb, (byte)0x6b, (byte)0x76, (byte)0xba, (byte)0x5a, (byte)0x7d,
(byte)0x78, (byte)0x0b, (byte)0x95, (byte)0xe3, (byte)0xad, (byte)0x74, (byte)0x98, (byte)0x3b, (byte)0x36,
(byte)0x64, (byte)0x6d, (byte)0xdc, (byte)0xf0, (byte)0x59, (byte)0xa9, (byte)0x4c, (byte)0x17, (byte)0x7f,
(byte)0x91, (byte)0xb8, (byte)0xc9, (byte)0x57, (byte)0x1b, (byte)0xe0, (byte)0x61 };
private static final byte[] T0 = new byte[]{ (byte)0xa4, (byte)0xa2, (byte)0xa9, (byte)0xc5, (byte)0x4e, (byte)0xc9,
(byte)0x03, (byte)0xd9, (byte)0x7e, (byte)0x0f, (byte)0xd2, (byte)0xad, (byte)0xe7, (byte)0xd3, (byte)0x27,
(byte)0x5b, (byte)0xe3, (byte)0xa1, (byte)0xe8, (byte)0xe6, (byte)0x7c, (byte)0x2a, (byte)0x55, (byte)0x0c,
(byte)0x86, (byte)0x39, (byte)0xd7, (byte)0x8d, (byte)0xb8, (byte)0x12, (byte)0x6f, (byte)0x28, (byte)0xcd,
(byte)0x8a, (byte)0x70, (byte)0x56, (byte)0x72, (byte)0xf9, (byte)0xbf, (byte)0x4f, (byte)0x73, (byte)0xe9,
(byte)0xf7, (byte)0x57, (byte)0x16, (byte)0xac, (byte)0x50, (byte)0xc0, (byte)0x9d, (byte)0xb7, (byte)0x47,
(byte)0x71, (byte)0x60, (byte)0xc4, (byte)0x74, (byte)0x43, (byte)0x6c, (byte)0x1f, (byte)0x93, (byte)0x77,
(byte)0xdc, (byte)0xce, (byte)0x20, (byte)0x8c, (byte)0x99, (byte)0x5f, (byte)0x44, (byte)0x01, (byte)0xf5,
(byte)0x1e, (byte)0x87, (byte)0x5e, (byte)0x61, (byte)0x2c, (byte)0x4b, (byte)0x1d, (byte)0x81, (byte)0x15,
(byte)0xf4, (byte)0x23, (byte)0xd6, (byte)0xea, (byte)0xe1, (byte)0x67, (byte)0xf1, (byte)0x7f, (byte)0xfe,
(byte)0xda, (byte)0x3c, (byte)0x07, (byte)0x53, (byte)0x6a, (byte)0x84, (byte)0x9c, (byte)0xcb, (byte)0x02,
(byte)0x83, (byte)0x33, (byte)0xdd, (byte)0x35, (byte)0xe2, (byte)0x59, (byte)0x5a, (byte)0x98, (byte)0xa5,
(byte)0x92, (byte)0x64, (byte)0x04, (byte)0x06, (byte)0x10, (byte)0x4d, (byte)0x1c, (byte)0x97, (byte)0x08,
(byte)0x31, (byte)0xee, (byte)0xab, (byte)0x05, (byte)0xaf, (byte)0x79, (byte)0xa0, (byte)0x18, (byte)0x46,
(byte)0x6d, (byte)0xfc, (byte)0x89, (byte)0xd4, (byte)0xc7, (byte)0xff, (byte)0xf0, (byte)0xcf, (byte)0x42,
(byte)0x91, (byte)0xf8, (byte)0x68, (byte)0x0a, (byte)0x65, (byte)0x8e, (byte)0xb6, (byte)0xfd, (byte)0xc3,
(byte)0xef, (byte)0x78, (byte)0x4c, (byte)0xcc, (byte)0x9e, (byte)0x30, (byte)0x2e, (byte)0xbc, (byte)0x0b,
(byte)0x54, (byte)0x1a, (byte)0xa6, (byte)0xbb, (byte)0x26, (byte)0x80, (byte)0x48, (byte)0x94, (byte)0x32,
(byte)0x7d, (byte)0xa7, (byte)0x3f, (byte)0xae, (byte)0x22, (byte)0x3d, (byte)0x66, (byte)0xaa, (byte)0xf6,
(byte)0x00, (byte)0x5d, (byte)0xbd, (byte)0x4a, (byte)0xe0, (byte)0x3b, (byte)0xb4, (byte)0x17, (byte)0x8b,
(byte)0x9f, (byte)0x76, (byte)0xb0, (byte)0x24, (byte)0x9a, (byte)0x25, (byte)0x63, (byte)0xdb, (byte)0xeb,
(byte)0x7a, (byte)0x3e, (byte)0x5c, (byte)0xb3, (byte)0xb1, (byte)0x29, (byte)0xf2, (byte)0xca, (byte)0x58,
(byte)0x6e, (byte)0xd8, (byte)0xa8, (byte)0x2f, (byte)0x75, (byte)0xdf, (byte)0x14, (byte)0xfb, (byte)0x13,
(byte)0x49, (byte)0x88, (byte)0xb2, (byte)0xec, (byte)0xe4, (byte)0x34, (byte)0x2d, (byte)0x96, (byte)0xc6,
(byte)0x3a, (byte)0xed, (byte)0x95, (byte)0x0e, (byte)0xe5, (byte)0x85, (byte)0x6b, (byte)0x40, (byte)0x21,
(byte)0x9b, (byte)0x09, (byte)0x19, (byte)0x2b, (byte)0x52, (byte)0xde, (byte)0x45, (byte)0xa3, (byte)0xfa,
(byte)0x51, (byte)0xc2, (byte)0xb5, (byte)0xd1, (byte)0x90, (byte)0xb9, (byte)0xf3, (byte)0x37, (byte)0xc1,
(byte)0x0d, (byte)0xba, (byte)0x41, (byte)0x11, (byte)0x38, (byte)0x7b, (byte)0xbe, (byte)0xd0, (byte)0xd5,
(byte)0x69, (byte)0x36, (byte)0xc8, (byte)0x62, (byte)0x1b, (byte)0x82, (byte)0x8f };
private static final byte[] T1 = new byte[]{ (byte)0x83, (byte)0xf2, (byte)0x2a, (byte)0xeb, (byte)0xe9, (byte)0xbf,
(byte)0x7b, (byte)0x9c, (byte)0x34, (byte)0x96, (byte)0x8d, (byte)0x98, (byte)0xb9, (byte)0x69, (byte)0x8c,
(byte)0x29, (byte)0x3d, (byte)0x88, (byte)0x68, (byte)0x06, (byte)0x39, (byte)0x11, (byte)0x4c, (byte)0x0e,
(byte)0xa0, (byte)0x56, (byte)0x40, (byte)0x92, (byte)0x15, (byte)0xbc, (byte)0xb3, (byte)0xdc, (byte)0x6f,
(byte)0xf8, (byte)0x26, (byte)0xba, (byte)0xbe, (byte)0xbd, (byte)0x31, (byte)0xfb, (byte)0xc3, (byte)0xfe,
(byte)0x80, (byte)0x61, (byte)0xe1, (byte)0x7a, (byte)0x32, (byte)0xd2, (byte)0x70, (byte)0x20, (byte)0xa1,
(byte)0x45, (byte)0xec, (byte)0xd9, (byte)0x1a, (byte)0x5d, (byte)0xb4, (byte)0xd8, (byte)0x09, (byte)0xa5,
(byte)0x55, (byte)0x8e, (byte)0x37, (byte)0x76, (byte)0xa9, (byte)0x67, (byte)0x10, (byte)0x17, (byte)0x36,
(byte)0x65, (byte)0xb1, (byte)0x95, (byte)0x62, (byte)0x59, (byte)0x74, (byte)0xa3, (byte)0x50, (byte)0x2f,
(byte)0x4b, (byte)0xc8, (byte)0xd0, (byte)0x8f, (byte)0xcd, (byte)0xd4, (byte)0x3c, (byte)0x86, (byte)0x12,
(byte)0x1d, (byte)0x23, (byte)0xef, (byte)0xf4, (byte)0x53, (byte)0x19, (byte)0x35, (byte)0xe6, (byte)0x7f,
(byte)0x5e, (byte)0xd6, (byte)0x79, (byte)0x51, (byte)0x22, (byte)0x14, (byte)0xf7, (byte)0x1e, (byte)0x4a,
(byte)0x42, (byte)0x9b, (byte)0x41, (byte)0x73, (byte)0x2d, (byte)0xc1, (byte)0x5c, (byte)0xa6, (byte)0xa2,
(byte)0xe0, (byte)0x2e, (byte)0xd3, (byte)0x28, (byte)0xbb, (byte)0xc9, (byte)0xae, (byte)0x6a, (byte)0xd1,
(byte)0x5a, (byte)0x30, (byte)0x90, (byte)0x84, (byte)0xf9, (byte)0xb2, (byte)0x58, (byte)0xcf, (byte)0x7e,
(byte)0xc5, (byte)0xcb, (byte)0x97, (byte)0xe4, (byte)0x16, (byte)0x6c, (byte)0xfa, (byte)0xb0, (byte)0x6d,
(byte)0x1f, (byte)0x52, (byte)0x99, (byte)0x0d, (byte)0x4e, (byte)0x03, (byte)0x91, (byte)0xc2, (byte)0x4d,
(byte)0x64, (byte)0x77, (byte)0x9f, (byte)0xdd, (byte)0xc4, (byte)0x49, (byte)0x8a, (byte)0x9a, (byte)0x24,
(byte)0x38, (byte)0xa7, (byte)0x57, (byte)0x85, (byte)0xc7, (byte)0x7c, (byte)0x7d, (byte)0xe7, (byte)0xf6,
(byte)0xb7, (byte)0xac, (byte)0x27, (byte)0x46, (byte)0xde, (byte)0xdf, (byte)0x3b, (byte)0xd7, (byte)0x9e,
(byte)0x2b, (byte)0x0b, (byte)0xd5, (byte)0x13, (byte)0x75, (byte)0xf0, (byte)0x72, (byte)0xb6, (byte)0x9d,
(byte)0x1b, (byte)0x01, (byte)0x3f, (byte)0x44, (byte)0xe5, (byte)0x87, (byte)0xfd, (byte)0x07, (byte)0xf1,
(byte)0xab, (byte)0x94, (byte)0x18, (byte)0xea, (byte)0xfc, (byte)0x3a, (byte)0x82, (byte)0x5f, (byte)0x05,
(byte)0x54, (byte)0xdb, (byte)0x00, (byte)0x8b, (byte)0xe3, (byte)0x48, (byte)0x0c, (byte)0xca, (byte)0x78,
(byte)0x89, (byte)0x0a, (byte)0xff, (byte)0x3e, (byte)0x5b, (byte)0x81, (byte)0xee, (byte)0x71, (byte)0xe2,
(byte)0xda, (byte)0x2c, (byte)0xb8, (byte)0xb5, (byte)0xcc, (byte)0x6e, (byte)0xa8, (byte)0x6b, (byte)0xad,
(byte)0x60, (byte)0xc6, (byte)0x08, (byte)0x04, (byte)0x02, (byte)0xe8, (byte)0xf5, (byte)0x4f, (byte)0xa4,
(byte)0xf3, (byte)0xc0, (byte)0xce, (byte)0x43, (byte)0x25, (byte)0x1c, (byte)0x21, (byte)0x33, (byte)0x0f,
(byte)0xaf, (byte)0x47, (byte)0xed, (byte)0x66, (byte)0x63, (byte)0x93, (byte)0xaa };
private static final byte[] T2 = new byte[]{ (byte)0x45, (byte)0xd4, (byte)0x0b, (byte)0x43, (byte)0xf1, (byte)0x72,
(byte)0xed, (byte)0xa4, (byte)0xc2, (byte)0x38, (byte)0xe6, (byte)0x71, (byte)0xfd, (byte)0xb6, (byte)0x3a,
(byte)0x95, (byte)0x50, (byte)0x44, (byte)0x4b, (byte)0xe2, (byte)0x74, (byte)0x6b, (byte)0x1e, (byte)0x11,
(byte)0x5a, (byte)0xc6, (byte)0xb4, (byte)0xd8, (byte)0xa5, (byte)0x8a, (byte)0x70, (byte)0xa3, (byte)0xa8,
(byte)0xfa, (byte)0x05, (byte)0xd9, (byte)0x97, (byte)0x40, (byte)0xc9, (byte)0x90, (byte)0x98, (byte)0x8f,
(byte)0xdc, (byte)0x12, (byte)0x31, (byte)0x2c, (byte)0x47, (byte)0x6a, (byte)0x99, (byte)0xae, (byte)0xc8,
(byte)0x7f, (byte)0xf9, (byte)0x4f, (byte)0x5d, (byte)0x96, (byte)0x6f, (byte)0xf4, (byte)0xb3, (byte)0x39,
(byte)0x21, (byte)0xda, (byte)0x9c, (byte)0x85, (byte)0x9e, (byte)0x3b, (byte)0xf0, (byte)0xbf, (byte)0xef,
(byte)0x06, (byte)0xee, (byte)0xe5, (byte)0x5f, (byte)0x20, (byte)0x10, (byte)0xcc, (byte)0x3c, (byte)0x54,
(byte)0x4a, (byte)0x52, (byte)0x94, (byte)0x0e, (byte)0xc0, (byte)0x28, (byte)0xf6, (byte)0x56, (byte)0x60,
(byte)0xa2, (byte)0xe3, (byte)0x0f, (byte)0xec, (byte)0x9d, (byte)0x24, (byte)0x83, (byte)0x7e, (byte)0xd5,
(byte)0x7c, (byte)0xeb, (byte)0x18, (byte)0xd7, (byte)0xcd, (byte)0xdd, (byte)0x78, (byte)0xff, (byte)0xdb,
(byte)0xa1, (byte)0x09, (byte)0xd0, (byte)0x76, (byte)0x84, (byte)0x75, (byte)0xbb, (byte)0x1d, (byte)0x1a,
(byte)0x2f, (byte)0xb0, (byte)0xfe, (byte)0xd6, (byte)0x34, (byte)0x63, (byte)0x35, (byte)0xd2, (byte)0x2a,
(byte)0x59, (byte)0x6d, (byte)0x4d, (byte)0x77, (byte)0xe7, (byte)0x8e, (byte)0x61, (byte)0xcf, (byte)0x9f,
(byte)0xce, (byte)0x27, (byte)0xf5, (byte)0x80, (byte)0x86, (byte)0xc7, (byte)0xa6, (byte)0xfb, (byte)0xf8,
(byte)0x87, (byte)0xab, (byte)0x62, (byte)0x3f, (byte)0xdf, (byte)0x48, (byte)0x00, (byte)0x14, (byte)0x9a,
(byte)0xbd, (byte)0x5b, (byte)0x04, (byte)0x92, (byte)0x02, (byte)0x25, (byte)0x65, (byte)0x4c, (byte)0x53,
(byte)0x0c, (byte)0xf2, (byte)0x29, (byte)0xaf, (byte)0x17, (byte)0x6c, (byte)0x41, (byte)0x30, (byte)0xe9,
(byte)0x93, (byte)0x55, (byte)0xf7, (byte)0xac, (byte)0x68, (byte)0x26, (byte)0xc4, (byte)0x7d, (byte)0xca,
(byte)0x7a, (byte)0x3e, (byte)0xa0, (byte)0x37, (byte)0x03, (byte)0xc1, (byte)0x36, (byte)0x69, (byte)0x66,
(byte)0x08, (byte)0x16, (byte)0xa7, (byte)0xbc, (byte)0xc5, (byte)0xd3, (byte)0x22, (byte)0xb7, (byte)0x13,
(byte)0x46, (byte)0x32, (byte)0xe8, (byte)0x57, (byte)0x88, (byte)0x2b, (byte)0x81, (byte)0xb2, (byte)0x4e,
(byte)0x64, (byte)0x1c, (byte)0xaa, (byte)0x91, (byte)0x58, (byte)0x2e, (byte)0x9b, (byte)0x5c, (byte)0x1b,
(byte)0x51, (byte)0x73, (byte)0x42, (byte)0x23, (byte)0x01, (byte)0x6e, (byte)0xf3, (byte)0x0d, (byte)0xbe,
(byte)0x3d, (byte)0x0a, (byte)0x2d, (byte)0x1f, (byte)0x67, (byte)0x33, (byte)0x19, (byte)0x7b, (byte)0x5e,
(byte)0xea, (byte)0xde, (byte)0x8b, (byte)0xcb, (byte)0xa9, (byte)0x8c, (byte)0x8d, (byte)0xad, (byte)0x49,
(byte)0x82, (byte)0xe4, (byte)0xba, (byte)0xc3, (byte)0x15, (byte)0xd1, (byte)0xe0, (byte)0x89, (byte)0xfc,
(byte)0xb1, (byte)0xb9, (byte)0xb5, (byte)0x07, (byte)0x79, (byte)0xb8, (byte)0xe1 };
private static final byte[] T3 = new byte[]{ (byte)0xb2, (byte)0xb6, (byte)0x23, (byte)0x11, (byte)0xa7, (byte)0x88,
(byte)0xc5, (byte)0xa6, (byte)0x39, (byte)0x8f, (byte)0xc4, (byte)0xe8, (byte)0x73, (byte)0x22, (byte)0x43,
(byte)0xc3, (byte)0x82, (byte)0x27, (byte)0xcd, (byte)0x18, (byte)0x51, (byte)0x62, (byte)0x2d, (byte)0xf7,
(byte)0x5c, (byte)0x0e, (byte)0x3b, (byte)0xfd, (byte)0xca, (byte)0x9b, (byte)0x0d, (byte)0x0f, (byte)0x79,
(byte)0x8c, (byte)0x10, (byte)0x4c, (byte)0x74, (byte)0x1c, (byte)0x0a, (byte)0x8e, (byte)0x7c, (byte)0x94,
(byte)0x07, (byte)0xc7, (byte)0x5e, (byte)0x14, (byte)0xa1, (byte)0x21, (byte)0x57, (byte)0x50, (byte)0x4e,
(byte)0xa9, (byte)0x80, (byte)0xd9, (byte)0xef, (byte)0x64, (byte)0x41, (byte)0xcf, (byte)0x3c, (byte)0xee,
(byte)0x2e, (byte)0x13, (byte)0x29, (byte)0xba, (byte)0x34, (byte)0x5a, (byte)0xae, (byte)0x8a, (byte)0x61,
(byte)0x33, (byte)0x12, (byte)0xb9, (byte)0x55, (byte)0xa8, (byte)0x15, (byte)0x05, (byte)0xf6, (byte)0x03,
(byte)0x06, (byte)0x49, (byte)0xb5, (byte)0x25, (byte)0x09, (byte)0x16, (byte)0x0c, (byte)0x2a, (byte)0x38,
(byte)0xfc, (byte)0x20, (byte)0xf4, (byte)0xe5, (byte)0x7f, (byte)0xd7, (byte)0x31, (byte)0x2b, (byte)0x66,
(byte)0x6f, (byte)0xff, (byte)0x72, (byte)0x86, (byte)0xf0, (byte)0xa3, (byte)0x2f, (byte)0x78, (byte)0x00,
(byte)0xbc, (byte)0xcc, (byte)0xe2, (byte)0xb0, (byte)0xf1, (byte)0x42, (byte)0xb4, (byte)0x30, (byte)0x5f,
(byte)0x60, (byte)0x04, (byte)0xec, (byte)0xa5, (byte)0xe3, (byte)0x8b, (byte)0xe7, (byte)0x1d, (byte)0xbf,
(byte)0x84, (byte)0x7b, (byte)0xe6, (byte)0x81, (byte)0xf8, (byte)0xde, (byte)0xd8, (byte)0xd2, (byte)0x17,
(byte)0xce, (byte)0x4b, (byte)0x47, (byte)0xd6, (byte)0x69, (byte)0x6c, (byte)0x19, (byte)0x99, (byte)0x9a,
(byte)0x01, (byte)0xb3, (byte)0x85, (byte)0xb1, (byte)0xf9, (byte)0x59, (byte)0xc2, (byte)0x37, (byte)0xe9,
(byte)0xc8, (byte)0xa0, (byte)0xed, (byte)0x4f, (byte)0x89, (byte)0x68, (byte)0x6d, (byte)0xd5, (byte)0x26,
(byte)0x91, (byte)0x87, (byte)0x58, (byte)0xbd, (byte)0xc9, (byte)0x98, (byte)0xdc, (byte)0x75, (byte)0xc0,
(byte)0x76, (byte)0xf5, (byte)0x67, (byte)0x6b, (byte)0x7e, (byte)0xeb, (byte)0x52, (byte)0xcb, (byte)0xd1,
(byte)0x5b, (byte)0x9f, (byte)0x0b, (byte)0xdb, (byte)0x40, (byte)0x92, (byte)0x1a, (byte)0xfa, (byte)0xac,
(byte)0xe4, (byte)0xe1, (byte)0x71, (byte)0x1f, (byte)0x65, (byte)0x8d, (byte)0x97, (byte)0x9e, (byte)0x95,
(byte)0x90, (byte)0x5d, (byte)0xb7, (byte)0xc1, (byte)0xaf, (byte)0x54, (byte)0xfb, (byte)0x02, (byte)0xe0,
(byte)0x35, (byte)0xbb, (byte)0x3a, (byte)0x4d, (byte)0xad, (byte)0x2c, (byte)0x3d, (byte)0x56, (byte)0x08,
(byte)0x1b, (byte)0x4a, (byte)0x93, (byte)0x6a, (byte)0xab, (byte)0xb8, (byte)0x7a, (byte)0xf2, (byte)0x7d,
(byte)0xda, (byte)0x3f, (byte)0xfe, (byte)0x3e, (byte)0xbe, (byte)0xea, (byte)0xaa, (byte)0x44, (byte)0xc6,
(byte)0xd0, (byte)0x36, (byte)0x48, (byte)0x70, (byte)0x96, (byte)0x77, (byte)0x24, (byte)0x53, (byte)0xdf,
(byte)0xf3, (byte)0x83, (byte)0x28, (byte)0x32, (byte)0x45, (byte)0x1e, (byte)0xa4, (byte)0xd3, (byte)0xa2,
(byte)0x46, (byte)0x6e, (byte)0x9c, (byte)0xdd, (byte)0x63, (byte)0xd4, (byte)0x9d };
}
