// obtain values from private key
int k = privKey.getK();
Permutation p = privKey.getP();
GF2mField field = privKey.getField();
PolynomialGF2mSmallM gp = privKey.getGoppaPoly();
GF2Matrix h = privKey.getH();
PolynomialGF2mSmallM[] q = privKey.getQInv();
// compute inverse permutation P^-1
Permutation pInv = p.computeInverse();
// multiply c with permutation P^-1
GF2Vector cPInv = (GF2Vector)c.multiply(pInv);
// compute syndrome of cP^-1
GF2Vector syndVec = (GF2Vector)h.rightMultiply(cPInv);
// decode syndrome
GF2Vector errors = GoppaCode.syndromeDecode(syndVec, field, gp, q);
GF2Vector mG = (GF2Vector)cPInv.add(errors);