Package de.flexiprovider.common.math.finitefields

This package holds classes representing elements of prime fields (GF(p), p prime) and finite fields with characteristic 2 (GF(2ⁿ), n integer), their arithmetic and the fields itself.

See:
Description

Interface Summary

GFElement

This interface defines a finite field element.

Class Summary

GF2nElement	This abstract class implements an element of the finite field GF(2)n in either optimal normal basis representation (ONB) or in polynomial representation.
GF2nField	This abstract class defines the finite field GF(2n).
GF2nONBElement	This class implements an element of the finite field GF(2n ).
GF2nONBField	This class implements the abstract class GF2nField for ONB representation.
GF2nPolynomial	This class implements polynomials over GF2nElements.
GF2nPolynomialElement	This class implements elements of finite binary fields GF(2n) using polynomial representation.
GF2nPolynomialField	This class implements the abstract class GF2nField for polynomial representation.
GF2Polynomial	This class stores very long strings of bits and does some basic arithmetics.
GFPElement	This class implements an element of the finite field GF(p), where p is a large prime.

Package de.flexiprovider.common.math.finitefields Description

This package holds classes representing elements of prime fields (GF(p), p prime) and finite fields with characteristic 2 (GF(2ⁿ), n integer), their arithmetic and the fields itself. Elements of GF(2ⁿ) can be stored using two different representations: Optimal Normal Basis (ONB) and Polynomial Representation using the corresponding classes GF2nONBElement respectively GF2nPolynomialElement.

The class Bitstring is used to store long strings of Bits and doing some basis arithmetics with them

Additionally the class PolynomialGF2n deals with Polynomials over GF2nElements.