Transcription of Galois Field in Cryptography
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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 .. Binary System .. Bit and Byte .. ASCII .. Finite Field Arithmetic .. and Subtraction .. and Multiplicative Inverse ..53 Application in Advanced Encryption Standard (AES) .. 1011 IntroductionGalois Field , named after Evariste Galois , also known as finite Field , refers toa Field in which there exists finitely many elements.
translating computer data as they are represented in binary forms. That is, computer data consist of combination of two numbers, 0 and 1, which are the components in Galois eld whose number of elements is two. Representing data as a vector in a Galois Field allows mathematical operations to scramble data easily and e ectively. 2 Preliminaries
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