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The Factorization Of X255 €“ 1 In Z2[X]

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  • Adrian Atanasiu

    (University of Bucharest, Bucharest, Romania)

  • Bogdan GhimiÈ™

    (University of Bucharest, Bucharest, Romania)

Abstract

AES (Rijndael) is considered the most prolific and widely used ([2]) encryption algorithm and it has deep roots in Galois field theory. The mathematical operations that occur are done in a special finite field – GF(28) that is obtained by factorizing Z2[X] over the polinomial 1 + X + X3 + X4 + X8. We have been wondering why that polynomial has been chosen and if there are some hidden proprieties of that polynomial that other’s don’t have. In this paper, we are going to look into the structure of GF(28) and try to find some answers regarding this choice made by the authors of AES.

Suggested Citation

  • Adrian Atanasiu & Bogdan GhimiÈ™, 2018. "The Factorization Of X255 €“ 1 In Z2[X]," Journal of Information Systems & Operations Management, Romanian-American University, vol. 12(2), pages 257-264, December.
    • Handle: RePEc:rau:jisomg:v:12:y:2018:i:2:p:257-264
    DOI: 10.5281/zenodo.21826464
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