Chaos and Cellular Automata-Based Substitution Box and Its Application in Cryptography

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dc.contributor.authorShafique, Arslan
dc.contributor.authorKhan, Kashif Hesham
dc.contributor.authorHazzazi, Mohammad Mazyad
dc.contributor.authorBahkali, Ismail
dc.contributor.authorBassfar, Zaid
dc.contributor.authorRehman, Mujeeb Ur
dc.date.acceptance2023-05-08
dc.date.accessioned2024-12-19T13:48:41Z
dc.date.available2024-12-19T13:48:41Z
dc.date.issued2023-05-16
dc.descriptionopen access article
dc.description.abstractSubstitution boxes are the key factor in symmetric-key cryptosystems that determines their ability to resist various cryptanalytic attacks. Creating strong substitution boxes that have multiple strong cryptographic properties at the same time is a challenging task for cryptographers. A significant amount of research has been conducted on S-boxes in the past few decades, but the resulting S-boxes have been found to be vulnerable to various cyberattacks. This paper proposes a new method for creating robust S-boxes that exhibit superior performance and possess high scores in multiple cryptographic properties. The hybrid S-box method presented in this paper is based on Chua’s circuit chaotic map, two-dimensional cellular automata, and an algebraic permutation group structure. The proposed 16×16 S-box has an excellent performance in terms of security parameters, including a minimum nonlinearity of 102, the absence of fixed points, the satisfaction of bit independence and strict avalanche criteria, a low differential uniformity of 5, a low linear approximation probability of 0.0603, and an auto-correlation function of 28. The analysis of the performance comparison indicates that the proposed S-box outperforms other state-of-the-art S-box techniques in several aspects. It possesses better attributes, such as a higher degree of inherent security and resilience, which make it more secure and less vulnerable to potential attacks.
dc.funderOther external funder (please detail below)
dc.funder.otherDeanship of Scientific Research at King Khalid University under grant number R. G. P. 2/109/43.
dc.identifier.citationShafique, A., Khan, K. H., Hazzazi, M. M., Bahkali, I., Bassfar, Z., and Rehman, M. U. (2023) Chaos and Cellular Automata-Based Substitution Box and Its Application in Cryptography. Mathematics, 11 (10), 2322
dc.identifier.doihttps://doi.org/10.3390/math11102322
dc.identifier.issn2227-7390
dc.identifier.urihttps://hdl.handle.net/2086/24630
dc.language.isoen
dc.peerreviewedYes
dc.publisherMDPI
dc.relation.ispartofMathematics
dc.researchinstitute.instituteDigital Future Institute
dc.titleChaos and Cellular Automata-Based Substitution Box and Its Application in Cryptography
dc.typeArticle
oaire.citation.issue10
oaire.citation.volume11

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