use of com.github.zhenwei.core.pqc.math.linearalgebra.GoppaCode.MaMaPe in project LinLong-Java by zhenwei1108.
the class McElieceKeyPairGenerator method genKeyPair.
private AsymmetricCipherKeyPair genKeyPair() {
if (!initialized) {
initializeDefault();
}
// finite field GF(2^m)
GF2mField field = new GF2mField(m, fieldPoly);
// irreducible Goppa polynomial
PolynomialGF2mSmallM gp = new PolynomialGF2mSmallM(field, t, PolynomialGF2mSmallM.RANDOM_IRREDUCIBLE_POLYNOMIAL, random);
PolynomialRingGF2m ring = new PolynomialRingGF2m(field, gp);
// matrix used to compute square roots in (GF(2^m))^t
PolynomialGF2mSmallM[] sqRootMatrix = ring.getSquareRootMatrix();
// generate canonical check matrix
GF2Matrix h = GoppaCode.createCanonicalCheckMatrix(field, gp);
// compute short systematic form of check matrix
MaMaPe mmp = GoppaCode.computeSystematicForm(h, random);
GF2Matrix shortH = mmp.getSecondMatrix();
Permutation p1 = mmp.getPermutation();
// compute short systematic form of generator matrix
GF2Matrix shortG = (GF2Matrix) shortH.computeTranspose();
// extend to full systematic form
GF2Matrix gPrime = shortG.extendLeftCompactForm();
// obtain number of rows of G (= dimension of the code)
int k = shortG.getNumRows();
// generate random invertible (k x k)-matrix S and its inverse S^-1
GF2Matrix[] matrixSandInverse = GF2Matrix.createRandomRegularMatrixAndItsInverse(k, random);
// generate random permutation P2
Permutation p2 = new Permutation(n, random);
// compute public matrix G=S*G'*P2
GF2Matrix g = (GF2Matrix) matrixSandInverse[0].rightMultiply(gPrime);
g = (GF2Matrix) g.rightMultiply(p2);
// generate keys
McEliecePublicKeyParameters pubKey = new McEliecePublicKeyParameters(n, t, g);
McEliecePrivateKeyParameters privKey = new McEliecePrivateKeyParameters(n, k, field, gp, p1, p2, matrixSandInverse[1]);
// return key pair
return new AsymmetricCipherKeyPair(pubKey, privKey);
}
use of com.github.zhenwei.core.pqc.math.linearalgebra.GoppaCode.MaMaPe in project LinLong-Java by zhenwei1108.
the class McElieceCCA2KeyPairGenerator method generateKeyPair.
public AsymmetricCipherKeyPair generateKeyPair() {
if (!initialized) {
initializeDefault();
}
// finite field GF(2^m)
GF2mField field = new GF2mField(m, fieldPoly);
// irreducible Goppa polynomial
PolynomialGF2mSmallM gp = new PolynomialGF2mSmallM(field, t, PolynomialGF2mSmallM.RANDOM_IRREDUCIBLE_POLYNOMIAL, random);
// generate canonical check matrix
GF2Matrix h = GoppaCode.createCanonicalCheckMatrix(field, gp);
// compute short systematic form of check matrix
MaMaPe mmp = GoppaCode.computeSystematicForm(h, random);
GF2Matrix shortH = mmp.getSecondMatrix();
Permutation p = mmp.getPermutation();
// compute short systematic form of generator matrix
GF2Matrix shortG = (GF2Matrix) shortH.computeTranspose();
// obtain number of rows of G (= dimension of the code)
int k = shortG.getNumRows();
// generate keys
McElieceCCA2PublicKeyParameters pubKey = new McElieceCCA2PublicKeyParameters(n, t, shortG, mcElieceCCA2Params.getParameters().getDigest());
McElieceCCA2PrivateKeyParameters privKey = new McElieceCCA2PrivateKeyParameters(n, k, field, gp, p, mcElieceCCA2Params.getParameters().getDigest());
// return key pair
return new AsymmetricCipherKeyPair(pubKey, privKey);
}
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