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The Bouncy Castle Crypto package is a Java implementation of cryptographic algorithms. This jar contains JCE provider and lightweight API for the Bouncy Castle Cryptography APIs for JDK 1.5 to JDK 1.8.
package org.bouncycastle.pqc.crypto.hqc;
import org.bouncycastle.pqc.math.linearalgebra.GF2mField;
import org.bouncycastle.pqc.math.linearalgebra.PolynomialGF2mSmallM;
import org.bouncycastle.util.Arrays;
class HQCEngine
{
private int n;
private int n1;
private int n2;
private int k;
private int delta;
private int w;
private int wr;
private int we;
private int g;
private int rejectionThreshold;
private int fft;
private int mulParam;
private GF2mField field;
private PolynomialGF2mSmallM reductionPoly;
private int SEED_SIZE = 40;
private byte G_FCT_DOMAIN = 3;
private byte H_FCT_DOMAIN = 4;
private byte K_FCT_DOMAIN = 5;
private int N_BYTE;
private int n1n2;
private int N_BYTE_64;
private int K_BYTE;
private int K_BYTE_64;
private int N1_BYTE_64;
private int N1N2_BYTE_64;
private int N1N2_BYTE;
private int N1_BYTE;
private int[] generatorPoly;
private int SHA512_BYTES = 512 / 8;
public HQCEngine(int n, int n1, int n2, int k, int g, int delta, int w, int wr, int we, int rejectionThreshold, int fft, int[] generatorPoly)
{
this.n = n;
this.k = k;
this.delta = delta;
this.w = w;
this.wr = wr;
this.we = we;
this.n1 = n1;
this.n2 = n2;
this.n1n2 = n1 * n2;
this.generatorPoly = generatorPoly;
this.g = g;
this.rejectionThreshold = rejectionThreshold;
this.fft = fft;
this.mulParam = (int)Math.ceil(n2 / 128);
this.N_BYTE = Utils.getByteSizeFromBitSize(n);
this.K_BYTE = k;
this.N_BYTE_64 = Utils.getByte64SizeFromBitSize(n);
this.K_BYTE_64 = Utils.getByteSizeFromBitSize(k);
this.N1_BYTE_64 = Utils.getByteSizeFromBitSize(n1);
this.N1N2_BYTE_64 = Utils.getByte64SizeFromBitSize(n1 * n2);
this.N1N2_BYTE = Utils.getByteSizeFromBitSize(n1 * n2);
this.N1_BYTE = Utils.getByteSizeFromBitSize(n1);
// finite field GF(2)
GF2mField field = new GF2mField(1);
this.field = field;
// generate reductionPoly (X^r + 1)
PolynomialGF2mSmallM poly = new PolynomialGF2mSmallM(field, n);
this.reductionPoly = poly.addMonomial(0);
}
/**
* Generate key pairs
* - Secret key : (x,y)
* - Public key: (h,s)
* @param pk output pk = (publicSeed||s)
*
**/
public void genKeyPair(byte[] pk, byte[] sk, byte[] seed)
{
// Randomly generate seeds for secret keys and public keys
byte[] secretKeySeed = new byte[SEED_SIZE];
HQCKeccakRandomGenerator randomGenerator = new HQCKeccakRandomGenerator(256);
randomGenerator.randomGeneratorInit(seed, null, seed.length, 0);
randomGenerator.squeeze(secretKeySeed, 40);
// 1. Randomly generate secret keys x, y
HQCKeccakRandomGenerator secretKeySeedExpander = new HQCKeccakRandomGenerator(256);
secretKeySeedExpander.seedExpanderInit(secretKeySeed, secretKeySeed.length);
long[] xLongBytes = new long[N_BYTE_64];
int[] yPos = new int[this.w];
generateSecretKey(xLongBytes, secretKeySeedExpander, w);
generateSecretKeyByCoordinates(yPos, secretKeySeedExpander, w);
// convert to bit array
byte[] yBits = Utils.fromListOfPos1ToBitArray(yPos, this.n);
byte[] xBits = new byte[this.n];
Utils.fromLongArrayToBitArray(xBits, xLongBytes);
// 2. Randomly generate h
byte[] publicKeySeed = new byte[SEED_SIZE];
randomGenerator.squeeze(publicKeySeed, 40);
HQCKeccakRandomGenerator randomPublic = new HQCKeccakRandomGenerator(256);
randomPublic.seedExpanderInit(publicKeySeed, publicKeySeed.length);
long[] hLongBytes = new long[N_BYTE_64];
generatePublicKeyH(hLongBytes, randomPublic);
byte[] hBits = new byte[this.n];
Utils.fromLongArrayToBitArray(hBits, hLongBytes);
// 3. Compute s
PolynomialGF2mSmallM xPoly = new PolynomialGF2mSmallM(this.field, Utils.removeLast0Bits(xBits));
PolynomialGF2mSmallM yPoly = new PolynomialGF2mSmallM(this.field, Utils.removeLast0Bits(yBits));
PolynomialGF2mSmallM hPoly = new PolynomialGF2mSmallM(this.field, Utils.removeLast0Bits(hBits));
PolynomialGF2mSmallM sPoly = xPoly.add(hPoly.modKaratsubaMultiplyBigDeg(yPoly, reductionPoly));
byte[] sBits = sPoly.getEncoded();
byte[] sBytes = new byte[N_BYTE];
Utils.fromBitArrayToByteArray(sBytes, sBits);
byte[] tmpPk = Arrays.concatenate(publicKeySeed, sBytes);
byte[] tmpSk = Arrays.concatenate(secretKeySeed, tmpPk);
System.arraycopy(tmpPk, 0, pk, 0, tmpPk.length);
System.arraycopy(tmpSk, 0, sk, 0, tmpSk.length);
}
/**
* HQC Encapsulation
* - Input: pk, seed
* - Output: c = (u,v,d), K
*
* @param u u
* @param v v
* @param d d
* @param K session key
* @param pk public key
* @param seed seed
**/
public void encaps(byte[] u, byte[] v, byte[] K, byte[] d, byte[] pk, byte[] seed)
{
// 1. Randomly generate m
byte[] m = new byte[K_BYTE];
// TODO: no way to gen m without seed and gen skseed, pkseed. In reference implementation they use the same
byte[] secretKeySeed = new byte[SEED_SIZE];
HQCKeccakRandomGenerator randomGenerator = new HQCKeccakRandomGenerator(256);
randomGenerator.randomGeneratorInit(seed, null, seed.length, 0);
randomGenerator.squeeze(secretKeySeed, 40);
byte[] publicKeySeed = new byte[SEED_SIZE];
randomGenerator.squeeze(publicKeySeed, 40);
// gen m
randomGenerator.squeeze(m, K_BYTE);
long[] mLongBytes = new long[K_BYTE_64];
Utils.fromByteArrayToLongArray(mLongBytes, m);
// 2. Generate theta
byte[] theta = new byte[SHA512_BYTES];
HQCKeccakRandomGenerator shakeDigest = new HQCKeccakRandomGenerator(256);
shakeDigest.SHAKE256_512_ds(theta, m, m.length, new byte[]{G_FCT_DOMAIN});
// 3. Generate ciphertext c = (u,v)
// Extract public keys
long[] h = new long[N_BYTE_64];
byte[] s = new byte[N_BYTE];
extractPublicKeys(h, s, pk);
long[] uTmp = new long[N_BYTE_64];
long[] vTmp = new long[N1N2_BYTE_64];
encrypt(uTmp, vTmp, h, s, mLongBytes, theta);
Utils.fromLongArrayToByteArray(v, vTmp, n1n2);
Utils.fromLongArrayToByteArray(u, uTmp, n);
// 4. Compute d
shakeDigest.SHAKE256_512_ds(d, m, m.length, new byte[]{H_FCT_DOMAIN});
// 5. Compute session key K
byte[] hashInputK = new byte[K_BYTE + N_BYTE + N1N2_BYTE];
hashInputK = Arrays.concatenate(m, u);
hashInputK = Arrays.concatenate(hashInputK, v);
shakeDigest.SHAKE256_512_ds(K, hashInputK, hashInputK.length, new byte[]{K_FCT_DOMAIN});
}
/**
* HQC Decapsulation
* - Input: ct, sk
* - Output: ss
*
* @param ss session key
* @param ct ciphertext
* @param sk secret key
**/
public void decaps(byte[] ss, byte[] ct, byte[] sk)
{
//Extract Y and Public Keys from sk
byte[] yBits = new byte[n];
byte[] pk = new byte[40 + N_BYTE];
extractKeysFromSecretKeys(yBits, pk, sk);
// Extract u, v, d from ciphertext
byte[] u = new byte[N_BYTE];
byte[] v = new byte[N1N2_BYTE];
byte[] d = new byte[SHA512_BYTES];
extractCiphertexts(u, v, d, ct);
// 1. Decrypt -> m'
long[] mPrime = new long[K_BYTE_64];
decrypt(mPrime, mPrime, u, v, yBits);
byte[] mPrimeBytes = new byte[k];
Utils.fromLongArrayToByteArray(mPrimeBytes, mPrime, k * 8);
// 2. Compute theta'
byte[] theta = new byte[SHA512_BYTES];
HQCKeccakRandomGenerator shakeDigest = new HQCKeccakRandomGenerator(256);
shakeDigest.SHAKE256_512_ds(theta, mPrimeBytes, mPrimeBytes.length, new byte[]{G_FCT_DOMAIN});
// 3. Compute c' = Enc(pk, m', theta')
// Extract public keys
long[] h = new long[N_BYTE_64];
byte[] s = new byte[N_BYTE];
extractPublicKeys(h, s, pk);
long[] uTmp = new long[N_BYTE_64];
long[] vTmp = new long[N1N2_BYTE_64];
encrypt(uTmp, vTmp, h, s, mPrime, theta);
byte[] u2Bytes = new byte[N_BYTE];
byte[] v2Bytes = new byte[N1N2_BYTE];
Utils.fromLongArrayToByteArray(u2Bytes, uTmp, n);
Utils.fromLongArrayToByteArray(v2Bytes, vTmp, n1n2);
// 4. Compute d' = H(m')
byte[] dPrime = new byte[SHA512_BYTES];
shakeDigest.SHAKE256_512_ds(dPrime, mPrimeBytes, mPrimeBytes.length, new byte[]{H_FCT_DOMAIN});
// 5. Compute session key KPrime
byte[] hashInputK = new byte[K_BYTE + N_BYTE + N1N2_BYTE];
hashInputK = Arrays.concatenate(mPrimeBytes, u);
hashInputK = Arrays.concatenate(hashInputK, v);
shakeDigest.SHAKE256_512_ds(ss, hashInputK, hashInputK.length, new byte[]{K_FCT_DOMAIN});
int result = 1;
// Compare u, v, d
if (!Arrays.areEqual(u, u2Bytes))
{
result = 0;
}
if (!Arrays.areEqual(v, v2Bytes))
{
result = 0;
}
if (!Arrays.areEqual(d, dPrime))
{
result = 0;
}
if (result == 0)
{ //abort
for (int i = 0; i < getSessionKeySize(); i++)
{
ss[i] = 0;
}
}
}
int getSessionKeySize()
{
return SHA512_BYTES;
}
/**
* HQC Encryption
* - Input: (h,s, m)
* - Output: (u,v) = c
*
* @param h public key
* @param s public key
* @param m message
* @param u ciphertext
* @param v ciphertext
**/
private void encrypt(long[] u, long[] v, long[] h, byte[] s, long[] m, byte[] theta)
{
// Randomly generate e, r1, r2
HQCKeccakRandomGenerator randomGenerator = new HQCKeccakRandomGenerator(256);
randomGenerator.seedExpanderInit(theta, SEED_SIZE);
long[] e = new long[N_BYTE_64];
long[] r1 = new long[N_BYTE_64];
int[] r2 = new int[wr];
generateSecretKey(r1, randomGenerator, wr);
generateSecretKeyByCoordinates(r2, randomGenerator, wr);
generateSecretKey(e, randomGenerator, we);
// parsing to bits
byte[] hBits = new byte[n];
Utils.fromLongArrayToBitArray(hBits, h);
byte[] r1Bits = new byte[n];
Utils.fromLongArrayToBitArray(r1Bits, r1);
byte[] r2Bits = new byte[n];
r2Bits = Utils.fromListOfPos1ToBitArray(r2, r2Bits.length);
byte[] eBits = new byte[n];
Utils.fromLongArrayToBitArray(eBits, e);
byte[] sBits = new byte[n];
Utils.fromByteArrayToBitArray(sBits, s);
// Calculate u
PolynomialGF2mSmallM r1Poly = new PolynomialGF2mSmallM(field, Utils.removeLast0Bits(r1Bits));
PolynomialGF2mSmallM r2Poly = new PolynomialGF2mSmallM(field, Utils.removeLast0Bits(r2Bits));
PolynomialGF2mSmallM hPoly = new PolynomialGF2mSmallM(field, Utils.removeLast0Bits(hBits));
PolynomialGF2mSmallM uPoly = r1Poly.add(r2Poly.modKaratsubaMultiplyBigDeg(hPoly, reductionPoly));
Utils.fromBitArrayToLongArray(u, uPoly.getEncoded());
// Calculate v
PolynomialGF2mSmallM sPoly = new PolynomialGF2mSmallM(field, Utils.removeLast0Bits(sBits));
PolynomialGF2mSmallM ePoly = new PolynomialGF2mSmallM(field, Utils.removeLast0Bits(eBits));
// encode m
long[] res = new long[N1_BYTE_64];
ReedSolomon.encode(res, m, K_BYTE * 8, n1, k, g, generatorPoly);
ReedMuller.encode(v, res, n1, mulParam);
byte[] vBits = new byte[n1n2];
Utils.fromLongArrayToBitArray(vBits, v);
//Compute v
PolynomialGF2mSmallM vPoly = new PolynomialGF2mSmallM(field, Utils.removeLast0Bits(vBits));
vPoly = vPoly.add(sPoly.modKaratsubaMultiplyBigDeg(r2Poly, reductionPoly));
vPoly = vPoly.add(ePoly);
long[] vLongTmp = new long[N_BYTE_64];
Utils.fromBitArrayToLongArray(vLongTmp, vPoly.getEncoded());
Utils.resizeArray(v, n1n2, vLongTmp, n, N1N2_BYTE_64, N1N2_BYTE_64);
}
private void decrypt(long[] output, long[] m, byte[] u, byte[] v, byte[] yBits)
{
byte[] uBits = new byte[n];
Utils.fromByteArrayToBitArray(uBits, u);
byte[] vBits = new byte[n1n2];
Utils.fromByteArrayToBitArray(vBits, v);
long[] uLong = new long[N_BYTE_64];
Utils.fromBitArrayToLongArray(uLong, uBits);
long[] vLong = new long[N1N2_BYTE_64];
Utils.fromBitArrayToLongArray(vLong, vBits);
PolynomialGF2mSmallM uPoly = new PolynomialGF2mSmallM(field, Utils.removeLast0Bits(uBits));
PolynomialGF2mSmallM vPoly = new PolynomialGF2mSmallM(field, Utils.removeLast0Bits(vBits));
PolynomialGF2mSmallM yPoly = new PolynomialGF2mSmallM(field, Utils.removeLast0Bits(yBits));
PolynomialGF2mSmallM res = vPoly.add(uPoly.modKaratsubaMultiplyBigDeg(yPoly, reductionPoly));
long[] resLong = new long[N_BYTE_64];
Utils.fromBitArrayToLongArray(resLong, res.getEncoded());
// Decode res
long[] tmp = new long[N1_BYTE_64];
ReedMuller.decode(tmp, resLong, n1, mulParam);
ReedSolomon.decode(m, tmp, n1, fft, delta, k, g);
System.arraycopy(m, 0, output, 0, output.length);
}
private void generateSecretKey(long[] output, HQCKeccakRandomGenerator random, int w)
{
int[] tmp = new int[w];
generateSecretKeyByCoordinates(tmp, random, w);
for (int i = 0; i < w; ++i)
{
int index = tmp[i] / 64;
int pos = tmp[i] % 64;
long t = ((1L) << pos);
output[index] |= t;
}
}
private void generateSecretKeyByCoordinates(int[] output, HQCKeccakRandomGenerator random, int w)
{
int randomByteSize = 3 * w;
byte randomBytes[] = new byte[3 * this.wr];
int inc;
int i = 0;
int j = randomByteSize;
while (i < w)
{
do
{
if (j == randomByteSize)
{
random.expandSeed(randomBytes, randomByteSize);
j = 0;
}
output[i] = (randomBytes[j++] & 0xff) << 16;
output[i] |= (randomBytes[j++] & 0xff) << 8;
output[i] |= (randomBytes[j++] & 0xff);
}
while (output[i] >= this.rejectionThreshold);
output[i] = output[i] % this.n;
inc = 1;
for (int k = 0; k < i; k++)
{
if (output[k] == output[i])
{
inc = 0;
}
}
i += inc;
}
}
void generatePublicKeyH(long[] out, HQCKeccakRandomGenerator random)
{
byte[] randBytes = new byte[N_BYTE];
random.expandSeed(randBytes, N_BYTE);
long[] tmp = new long[N_BYTE_64];
Utils.fromByteArrayToLongArray(tmp, randBytes);
tmp[N_BYTE_64 - 1] &= Utils.bitMask(n, 64);
System.arraycopy(tmp, 0, out, 0, out.length);
}
private void extractPublicKeys(long[] h, byte[] s, byte[] pk)
{
byte[] publicKeySeed = new byte[SEED_SIZE];
System.arraycopy(pk, 0, publicKeySeed, 0, publicKeySeed.length);
HQCKeccakRandomGenerator randomPublic = new HQCKeccakRandomGenerator(256);
randomPublic.seedExpanderInit(publicKeySeed, publicKeySeed.length);
long[] hLongBytes = new long[N_BYTE_64];
generatePublicKeyH(hLongBytes, randomPublic);
System.arraycopy(hLongBytes, 0, h, 0, h.length);
System.arraycopy(pk, 40, s, 0, s.length);
}
private void extractKeysFromSecretKeys(byte[] y, byte[] pk, byte[] sk)
{
byte[] secretKeySeed = new byte[SEED_SIZE];
System.arraycopy(sk, 0, secretKeySeed, 0, secretKeySeed.length);
// Randomly generate secret keys x, y
HQCKeccakRandomGenerator secretKeySeedExpander = new HQCKeccakRandomGenerator(256);
secretKeySeedExpander.seedExpanderInit(secretKeySeed, secretKeySeed.length);
long[] xLongBytes = new long[N_BYTE_64];
int[] yPos = new int[this.w];
generateSecretKey(xLongBytes, secretKeySeedExpander, w);
generateSecretKeyByCoordinates(yPos, secretKeySeedExpander, w);
// convert to bit array
byte[] yBits = Utils.fromListOfPos1ToBitArray(yPos, this.n);
System.arraycopy(yBits, 0, y, 0, y.length);
System.arraycopy(sk, SEED_SIZE, pk, 0, pk.length);
}
private void extractCiphertexts(byte[] u, byte[] v, byte[] d, byte[] ct)
{
System.arraycopy(ct, 0, u, 0, u.length);
System.arraycopy(ct, u.length, v, 0, v.length);
System.arraycopy(ct, u.length + v.length, d, 0, d.length);
}
}
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