A Modern Method for Constructing the S-Box of Advanced Encryption Standard - Applied Mathematics

AM > Vol.10 No.4, April 2019

A Modern Method for Constructing the S-Box of Advanced Encryption Standard ()

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Download as PDF (Size: 352KB) PP. 234-244

DOI: 10.4236/am.2019.104018 1,006 Downloads 6,610 Views

Author(s)

W. Eltayeb Ahmed^1,2

Affiliation(s)

¹Mathematics and Statistics Department, Faculty of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, KSA.
²Department of Basics and Engineering Sciences, Faculty of Engineering, University of Khartoum, Khartoum, Sudan.

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.

KEYWORDS

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

Share and Cite:

Ahmed, W. (2019) A Modern Method for Constructing the S-Box of Advanced Encryption Standard. Applied Mathematics, 10, 234-244. doi: 10.4236/am.2019.104018.

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