Avalanche Analysis of Variant Polynomials for AES

Kouther Fahad Alshammari, Ayman Mostafa, Shadi Ismail Nashwan · Turkish Journal of Computer and Mathematics Education (TURCOMAT) · 2021

Advanced Encryption Standard (AES) is the most commonly used symmetric cipher nowadays. An AEScryptosystem chooses a specific irreducible polynomial to compute its values. All computations of the cryptosystem are basedon this chosen polynomial. The selection of the polynomial creates the interesting opportunity to see how the cryptosystemperforms when the polynomial is replaced by other irreducible polynomials. The objective of this paper is to examine theimpact on the avalanche level when utilizing other polynomials to develop AES cryptosystems. To implement those AEScryptosystems easily, MATLAB® codes were written for creating 30 different AES cryptosystems. Then, the avalancheanalysis was conducted on all the cryptosystems created. The results of the analysis show that choosing different polynomialsas a component of the AES cryptosystems has a minor impact on the avalanche level.

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