Package org.bouncycastle.pqc.math.linearalgebra

Class 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 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