Galois Field Arithmetic Library A free cryptography and error correction library developed in C++
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Galois Field Arithmetic Library Description

A free cryptography and error correction library developed in C++ Galois Field Arithmetic Library is a free C++ library that implements a specialised version of Galois Fields known as extension fields or in other words fields of the form GF(2^m) and was developed as a base for programming tasks that involved cryptography and error correcting codes. Galois Field Arithmetic Library is simple, consise and straight forward, it also uses a series of look-up tables to increase performance of calculations.Galois Field Arithmetic Library is broken into three classes, Galois Field, Galois Field Element and Galois Field Polynomial. Operations such as addition, subtraction, multiplication, division, modulus and exponentiation can occur over both field elements and field polynomials and also left and right shifting can occur for field polynomials.The binary extensions of Galois fields (GF(2^m)) are used extensively in digital logic and circuitry. Galois field polynomials within the branch are seen as mathematical equivalents of Linear Feed-Back Shift Register (LFSR) and operations upon elements are accomplished via bitwise operations such as xor, and, or logic. Applications within the fields of cryptography and error correcting codes use Galois fields extensively in such things as S-Box implementations (bit scramblers), strong random number generators and algebraic codes. Galois theory is used to describe and generalize results seen in these fields, for example the AES algorithm can be represented with just a few lines of mathematics using Galois theory and some other related abstract algebra. What's New in This Release: · Fixed a bug in galois field generation, 2^m - 1 should have an anti-log of 1 · Fixed a bug in the shift right operator of the polynomial class · Updated the division and modulus operators to be more efficient · Added some more test cases · Minor code clean-up

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