org.spongycastle.pqc.math.linearalgebra

Class PolynomialRingGF2m

java.lang.Object

org.spongycastle.pqc.math.linearalgebra.PolynomialRingGF2m

public class PolynomialRingGF2m
extends java.lang.Object

This class represents polynomial rings GF(2^m)[X]/p(X) for m<32. If p(X) is irreducible, the polynomial ring is in fact an extension field of GF(2^m).

Field Summary

Fields

Modifier and Type	Field and Description
protected PolynomialGF2mSmallM[]	sqMatrix the squaring matrix for this polynomial ring (given as the array of its row vectors)
protected PolynomialGF2mSmallM[]	sqRootMatrix the matrix for computing square roots in this polynomial ring (given as the array of its row vectors).

Constructor Summary

Constructors

Constructor and Description
PolynomialRingGF2m(GF2mField field, PolynomialGF2mSmallM p) Constructor.

Method Summary

Modifier and Type	Method and Description
PolynomialGF2mSmallM[]	getSquareRootMatrix()
PolynomialGF2mSmallM[]	getSquaringMatrix()

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

sqMatrix

protected PolynomialGF2mSmallM[] sqMatrix

the squaring matrix for this polynomial ring (given as the array of its row vectors)

sqRootMatrix

protected PolynomialGF2mSmallM[] sqRootMatrix

the matrix for computing square roots in this polynomial ring (given as the array of its row vectors). This matrix is computed as the inverse of the squaring matrix.

Constructor Detail

PolynomialRingGF2m

public PolynomialRingGF2m(GF2mField field,
                          PolynomialGF2mSmallM p)

Constructor.

Parameters:

field - the finite field

p - the reduction polynomial

Method Detail

getSquaringMatrix

public PolynomialGF2mSmallM[] getSquaringMatrix()

Returns:

the squaring matrix for this polynomial ring

getSquareRootMatrix

public PolynomialGF2mSmallM[] getSquareRootMatrix()

Returns:

the matrix for computing square roots for this polynomial ring