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Galois Field in Cryptography

Galois Field in CryptographyChristoforus Juan BenvenutoMay 31, 2012 AbstractThis paper introduces the basics of Galois Field as well as its im-plementation in storing data. This paper shows and helps visualizesthat storing data in Galois Fields allows manageable and effectivedata manipulation, where it focuses mainly on application in com-puter Cryptography . Details on the algorithm for Advanced Encryp-tion Standard (AES), which is an examples of computer cryptographythat utilizes Galois Field , will also be Introduction22 Galois Field .

Ultimately, binary system o ers an alternative way of representing the elements of a Galois Field. Both the polynomial and binary representation of an element have their own advantages and disadvantages. ... nomial followed by the polynomial we wish to invert. The rst two rows in 6. the Auxiliary are always 0 and 20. The remainder and the ...

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