Ahmed, W.E. (2019) A Way to Compute a Greatest Common Divisor in the Galois Field (GF (2^n)). Journal of Advances in Mathematics, 16, 8317-8321.
https://doi.org/10.24297/jam.v16i0.8167

has been cited by the following article:

• TITLE: A Modern Method for Constructing the S-Box of Advanced Encryption Standard

  AUTHORS: W. Eltayeb Ahmed

  KEYWORDS: Advanced Encryption Standard, S-Box, Extended Euclidean Algorithm, Greatest Common Divisor, XOR Operation

  JOURNAL NAME: Applied Mathematics, Vol.10 No.4, April 29, 2019

  ABSTRACT: The substitution table (S-Box) of Advanced Encryption Standard (AES) and its properties are key elements in cryptanalysis ciphering. We aim here to propose a straightforward method for the non-linear transformation of AES S-Box construction. The method reduces the steps needed to compute the multiplicative inverse, and computes the matrices multiplication used in this transformation, without a need to use the characteristic matrix, and the result is a modern method constructing the S-Box.