package org.bouncycastle.pqc.crypto.mceliece;

import java.security.SecureRandom;

import org.bouncycastle.crypto.CipherParameters;
import org.bouncycastle.crypto.CryptoServicesRegistrar;
import org.bouncycastle.crypto.Digest;
import org.bouncycastle.crypto.InvalidCipherTextException;
import org.bouncycastle.crypto.digests.SHA1Digest;
import org.bouncycastle.crypto.params.ParametersWithRandom;
import org.bouncycastle.crypto.prng.DigestRandomGenerator;
import org.bouncycastle.pqc.crypto.MessageEncryptor;
import org.bouncycastle.pqc.math.linearalgebra.ByteUtils;
import org.bouncycastle.pqc.math.linearalgebra.GF2Vector;
import org.bouncycastle.pqc.math.linearalgebra.IntegerFunctions;

This class implements the Kobara/Imai conversion of the McEliecePKCS. This is a conversion of the McEliecePKCS which is CCA2-secure. For details, see D. Engelbert, R. Overbeck, A. Schmidt, "A summary of the development of the McEliece Cryptosystem", technical report.
/** * This class implements the Kobara/Imai conversion of the McEliecePKCS. This is * a conversion of the McEliecePKCS which is CCA2-secure. For details, see D. * Engelbert, R. Overbeck, A. Schmidt, "A summary of the development of the * McEliece Cryptosystem", technical report. */
public class McElieceKobaraImaiCipher implements MessageEncryptor {
The OID of the algorithm.
/** * The OID of the algorithm. */
public static final String OID = "1.3.6.1.4.1.8301.3.1.3.4.2.3"; private static final String DEFAULT_PRNG_NAME = "SHA1PRNG";
A predetermined public constant.
/** * A predetermined public constant. */
public static final byte[] PUBLIC_CONSTANT = "a predetermined public constant" .getBytes(); private Digest messDigest; private SecureRandom sr; McElieceCCA2KeyParameters key;
The McEliece main parameters
/** * The McEliece main parameters */
private int n, k, t; private boolean forEncryption; public void init(boolean forEncryption, CipherParameters param) { this.forEncryption = forEncryption; if (forEncryption) { if (param instanceof ParametersWithRandom) { ParametersWithRandom rParam = (ParametersWithRandom)param; this.sr = rParam.getRandom(); this.key = (McElieceCCA2PublicKeyParameters)rParam.getParameters(); this.initCipherEncrypt((McElieceCCA2PublicKeyParameters)key); } else { this.sr = CryptoServicesRegistrar.getSecureRandom(); this.key = (McElieceCCA2PublicKeyParameters)param; this.initCipherEncrypt((McElieceCCA2PublicKeyParameters)key); } } else { this.key = (McElieceCCA2PrivateKeyParameters)param; this.initCipherDecrypt((McElieceCCA2PrivateKeyParameters)key); } }
Return the key size of the given key object.
Params:
  • key – the McElieceCCA2KeyParameters object
Returns:the key size of the given key object
/** * Return the key size of the given key object. * * @param key the McElieceCCA2KeyParameters object * @return the key size of the given key object */
public int getKeySize(McElieceCCA2KeyParameters key) { if (key instanceof McElieceCCA2PublicKeyParameters) { return ((McElieceCCA2PublicKeyParameters)key).getN(); } if (key instanceof McElieceCCA2PrivateKeyParameters) { return ((McElieceCCA2PrivateKeyParameters)key).getN(); } throw new IllegalArgumentException("unsupported type"); } private void initCipherEncrypt(McElieceCCA2PublicKeyParameters pubKey) { this.messDigest = Utils.getDigest(pubKey.getDigest()); n = pubKey.getN(); k = pubKey.getK(); t = pubKey.getT(); } private void initCipherDecrypt(McElieceCCA2PrivateKeyParameters privKey) { this.messDigest = Utils.getDigest(privKey.getDigest()); n = privKey.getN(); k = privKey.getK(); t = privKey.getT(); } public byte[] messageEncrypt(byte[] input) { if (!forEncryption) { throw new IllegalStateException("cipher initialised for decryption"); } int c2Len = messDigest.getDigestSize(); int c4Len = k >> 3; int c5Len = (IntegerFunctions.binomial(n, t).bitLength() - 1) >> 3; int mLen = c4Len + c5Len - c2Len - PUBLIC_CONSTANT.length; if (input.length > mLen) { mLen = input.length; } int c1Len = mLen + PUBLIC_CONSTANT.length; int c6Len = c1Len + c2Len - c4Len - c5Len; // compute (m||const) byte[] mConst = new byte[c1Len]; System.arraycopy(input, 0, mConst, 0, input.length); System.arraycopy(PUBLIC_CONSTANT, 0, mConst, mLen, PUBLIC_CONSTANT.length); // generate random r of length c2Len bytes byte[] r = new byte[c2Len]; sr.nextBytes(r); // get PRNG object // get PRNG object DigestRandomGenerator sr0 = new DigestRandomGenerator(new SHA1Digest()); // seed PRNG with r' sr0.addSeedMaterial(r); // generate random sequence ... byte[] c1 = new byte[c1Len]; sr0.nextBytes(c1); // ... and XOR with (m||const) to obtain c1 for (int i = c1Len - 1; i >= 0; i--) { c1[i] ^= mConst[i]; } // compute H(c1) ... byte[] c2 = new byte[messDigest.getDigestSize()]; messDigest.update(c1, 0, c1.length); messDigest.doFinal(c2, 0); // ... and XOR with r for (int i = c2Len - 1; i >= 0; i--) { c2[i] ^= r[i]; } // compute (c2||c1) byte[] c2c1 = ByteUtils.concatenate(c2, c1); // split (c2||c1) into (c6||c5||c4), where c4Len is k/8 bytes, c5Len is // floor[log(n|t)]/8 bytes, and c6Len is c1Len+c2Len-c4Len-c5Len (may be // 0). byte[] c6 = new byte[0]; if (c6Len > 0) { c6 = new byte[c6Len]; System.arraycopy(c2c1, 0, c6, 0, c6Len); } byte[] c5 = new byte[c5Len]; System.arraycopy(c2c1, c6Len, c5, 0, c5Len); byte[] c4 = new byte[c4Len]; System.arraycopy(c2c1, c6Len + c5Len, c4, 0, c4Len); // convert c4 to vector over GF(2) GF2Vector c4Vec = GF2Vector.OS2VP(k, c4); // convert c5 to error vector z GF2Vector z = Conversions.encode(n, t, c5); // compute encC4 = E(c4, z) byte[] encC4 = McElieceCCA2Primitives.encryptionPrimitive((McElieceCCA2PublicKeyParameters)key, c4Vec, z).getEncoded(); // if c6Len > 0 if (c6Len > 0) { // return (c6||encC4) return ByteUtils.concatenate(c6, encC4); } // else, return encC4 return encC4; } public byte[] messageDecrypt(byte[] input) throws InvalidCipherTextException { if (forEncryption) { throw new IllegalStateException("cipher initialised for decryption"); } int nDiv8 = n >> 3; if (input.length < nDiv8) { throw new InvalidCipherTextException("Bad Padding: Ciphertext too short."); } int c2Len = messDigest.getDigestSize(); int c4Len = k >> 3; int c6Len = input.length - nDiv8; // split cipher text (c6||encC4), where c6 may be empty byte[] c6, encC4; if (c6Len > 0) { byte[][] c6EncC4 = ByteUtils.split(input, c6Len); c6 = c6EncC4[0]; encC4 = c6EncC4[1]; } else { c6 = new byte[0]; encC4 = input; } // convert encC4 into vector over GF(2) GF2Vector encC4Vec = GF2Vector.OS2VP(n, encC4); // decrypt encC4Vec to obtain c4 and error vector z GF2Vector[] c4z = McElieceCCA2Primitives.decryptionPrimitive((McElieceCCA2PrivateKeyParameters)key, encC4Vec); byte[] c4 = c4z[0].getEncoded(); GF2Vector z = c4z[1]; // if length of c4 is greater than c4Len (because of padding) ... if (c4.length > c4Len) { // ... truncate the padding bytes c4 = ByteUtils.subArray(c4, 0, c4Len); } // compute c5 = Conv^-1(z) byte[] c5 = Conversions.decode(n, t, z); // compute (c6||c5||c4) byte[] c6c5c4 = ByteUtils.concatenate(c6, c5); c6c5c4 = ByteUtils.concatenate(c6c5c4, c4); // split (c6||c5||c4) into (c2||c1), where c2Len = mdLen and c1Len = // input.length-c2Len bytes. int c1Len = c6c5c4.length - c2Len; byte[][] c2c1 = ByteUtils.split(c6c5c4, c2Len); byte[] c2 = c2c1[0]; byte[] c1 = c2c1[1]; // compute H(c1) ... byte[] rPrime = new byte[messDigest.getDigestSize()]; messDigest.update(c1, 0, c1.length); messDigest.doFinal(rPrime, 0); // ... and XOR with c2 to obtain r' for (int i = c2Len - 1; i >= 0; i--) { rPrime[i] ^= c2[i]; } // get PRNG object DigestRandomGenerator sr0 = new DigestRandomGenerator(new SHA1Digest()); // seed PRNG with r' sr0.addSeedMaterial(rPrime); // generate random sequence R(r') ... byte[] mConstPrime = new byte[c1Len]; sr0.nextBytes(mConstPrime); // ... and XOR with c1 to obtain (m||const') for (int i = c1Len - 1; i >= 0; i--) { mConstPrime[i] ^= c1[i]; } if (mConstPrime.length < c1Len) { throw new InvalidCipherTextException("Bad Padding: invalid ciphertext"); } byte[][] temp = ByteUtils.split(mConstPrime, c1Len - PUBLIC_CONSTANT.length); byte[] mr = temp[0]; byte[] constPrime = temp[1]; if (!ByteUtils.equals(constPrime, PUBLIC_CONSTANT)) { throw new InvalidCipherTextException("Bad Padding: invalid ciphertext"); } return mr; } }