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Improved S-box construction from binomial power functions

Substitution boxes with strong cryptographic properties are commonly used in block ciphers to provide the crucial property of nonlinearity. This is important to resist standard attacks such as linear and differential cryptanalysis. A cryptographically-strong s-box must have high nonlinearity, low di...

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Main Authors: Isa H., Jamil N., Z'aba M.R.
Other Authors: 56432795500
Format: Conference Paper
Published: Institute for Mathematical Research (INSPEM) 2023
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spelling my.uniten.dspace-219962023-05-16T10:46:32Z Improved S-box construction from binomial power functions Isa H. Jamil N. Z'aba M.R. 56432795500 36682671900 24726154700 Substitution boxes with strong cryptographic properties are commonly used in block ciphers to provide the crucial property of nonlinearity. This is important to resist standard attacks such as linear and differential cryptanalysis. A cryptographically-strong s-box must have high nonlinearity, low differential uniformity and high algebraic degree. In this paper, we improve previous s-box construction based on binomial operation on two power functions over the finite field F28. By widening the scope of the power function and introducing new manipulation techniques, we managed to obtain cryptographically-strong s-boxes which are better than the previous construction. Final 2023-05-16T02:46:32Z 2023-05-16T02:46:32Z 2014 Conference Paper 2-s2.0-84923185825 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84923185825&partnerID=40&md5=735ed3658c734b836e5fb90c32d57b2a https://irepository.uniten.edu.my/handle/123456789/21996 131 139 Institute for Mathematical Research (INSPEM) Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
description Substitution boxes with strong cryptographic properties are commonly used in block ciphers to provide the crucial property of nonlinearity. This is important to resist standard attacks such as linear and differential cryptanalysis. A cryptographically-strong s-box must have high nonlinearity, low differential uniformity and high algebraic degree. In this paper, we improve previous s-box construction based on binomial operation on two power functions over the finite field F28. By widening the scope of the power function and introducing new manipulation techniques, we managed to obtain cryptographically-strong s-boxes which are better than the previous construction.
author2 56432795500
author_facet 56432795500
Isa H.
Jamil N.
Z'aba M.R.
format Conference Paper
author Isa H.
Jamil N.
Z'aba M.R.
spellingShingle Isa H.
Jamil N.
Z'aba M.R.
Improved S-box construction from binomial power functions
author_sort Isa H.
title Improved S-box construction from binomial power functions
title_short Improved S-box construction from binomial power functions
title_full Improved S-box construction from binomial power functions
title_fullStr Improved S-box construction from binomial power functions
title_full_unstemmed Improved S-box construction from binomial power functions
title_sort improved s-box construction from binomial power functions
publisher Institute for Mathematical Research (INSPEM)
publishDate 2023
_version_ 1806424032134823936
score 13.214268

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