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ID: 21972, Galois Field Arithmetic Library

by Arash Partow Email: Anonymous

A simple library in C++ for performing arithmetic between elements and polynomials over Galois fields
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For C++BuilderX, Version 1.0  to 1.0 79 downloads
Copyright: Open Source or other

Size: 14,515 bytes
Updated on Thu, 05 Aug 2004 02:40:13 GMT
Originally uploaded on Mon, 19 Jul 2004 23:27:52 GMT
SHA1 Hash: C82CD43090790117E13E5A710ABF10B5C8CAFBBA
MD5 Hash: F68F44C96A90585008E8D8F3E0E1546C

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The C++ Galois Field Arithmetic Library, 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. The library is simple, consise and straight forward, it also uses a series of look-up tables to increase performance of calculations.

The 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.

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