Statistical analysis of S-Box in Rijndael-AES algorithm and formulation of an enhanced S-Box

The internet is widely used to support services ranging from education, medicine, entertainment to e-commerce. Cryptography helps to safeguard this transmitted information using authentication, digital signatures and encryption algorithms. In this paper we focus on AES, a symmetric block cipher algo...

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Main Authors: Bakhtiari, Majid M., Gaithuru, Juliet N.
Format: Article
Published: Mirlabs, USA 2014
Subjects:
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author Bakhtiari, Majid M.
Gaithuru, Juliet N.
author_facet Bakhtiari, Majid M.
Gaithuru, Juliet N.
author_sort Bakhtiari, Majid M.
collection ePrints
description The internet is widely used to support services ranging from education, medicine, entertainment to e-commerce. Cryptography helps to safeguard this transmitted information using authentication, digital signatures and encryption algorithms. In this paper we focus on AES, a symmetric block cipher algorithm which implements the Rijndael algorithm. We present a statistical analysis of the Rijndael-AES S-Box so as to evaluate the weaknesses present in the S-Box. These tests evaluate susceptibility of the AES S-Box to algebraic and statistical attacks. Using the obtained results, a technique of formulating a more non-linear S-Box is suggested. This technique uses the incursive congruential method, which produces highly non-linear output with a lower degree of correlation than the current AES S-Box.
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spelling utm.eprints-599502022-01-10T07:19:23Z http://eprints.utm.my/59950/ Statistical analysis of S-Box in Rijndael-AES algorithm and formulation of an enhanced S-Box Bakhtiari, Majid M. Gaithuru, Juliet N. QA75 Electronic computers. Computer science The internet is widely used to support services ranging from education, medicine, entertainment to e-commerce. Cryptography helps to safeguard this transmitted information using authentication, digital signatures and encryption algorithms. In this paper we focus on AES, a symmetric block cipher algorithm which implements the Rijndael algorithm. We present a statistical analysis of the Rijndael-AES S-Box so as to evaluate the weaknesses present in the S-Box. These tests evaluate susceptibility of the AES S-Box to algebraic and statistical attacks. Using the obtained results, a technique of formulating a more non-linear S-Box is suggested. This technique uses the incursive congruential method, which produces highly non-linear output with a lower degree of correlation than the current AES S-Box. Mirlabs, USA 2014 Article PeerReviewed Bakhtiari, Majid M. and Gaithuru, Juliet N. (2014) Statistical analysis of S-Box in Rijndael-AES algorithm and formulation of an enhanced S-Box. Journal of Information Assurance and Security, 9 (5). pp. 213-221. ISSN 1554-1010 https://www.mirlabs.net/jias/secured/Volume9-Issue4/Paper23.pdf
spellingShingle QA75 Electronic computers. Computer science
Bakhtiari, Majid M.
Gaithuru, Juliet N.
Statistical analysis of S-Box in Rijndael-AES algorithm and formulation of an enhanced S-Box
title Statistical analysis of S-Box in Rijndael-AES algorithm and formulation of an enhanced S-Box
title_full Statistical analysis of S-Box in Rijndael-AES algorithm and formulation of an enhanced S-Box
title_fullStr Statistical analysis of S-Box in Rijndael-AES algorithm and formulation of an enhanced S-Box
title_full_unstemmed Statistical analysis of S-Box in Rijndael-AES algorithm and formulation of an enhanced S-Box
title_short Statistical analysis of S-Box in Rijndael-AES algorithm and formulation of an enhanced S-Box
title_sort statistical analysis of s box in rijndael aes algorithm and formulation of an enhanced s box
topic QA75 Electronic computers. Computer science
work_keys_str_mv AT bakhtiarimajidm statisticalanalysisofsboxinrijndaelaesalgorithmandformulationofanenhancedsbox
AT gaithurujulietn statisticalanalysisofsboxinrijndaelaesalgorithmandformulationofanenhancedsbox