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Entropy 2018, 20(7), 525; https://doi.org/10.3390/e20070525

A New Hyperchaotic System-Based Design for Efficient Bijective Substitution-Boxes

1
Department of Information Technology, University of Jeddah, Jeddah 21589, Saudi Arabia
2
Department of Computer Engineering, Jamia Millia Islamia, New Delhi 110025, India
3
Department of Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
4
Department of Computer Engineering, Aligarh Muslim University, Aligarh 202002, India
*
Author to whom correspondence should be addressed.
Received: 25 May 2018 / Revised: 28 June 2018 / Accepted: 9 July 2018 / Published: 12 July 2018
(This article belongs to the Section Information Theory)
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Abstract

In this paper, we present a novel method to construct cryptographically strong bijective substitution-boxes based on the complicated dynamics of a new hyperchaotic system. The new hyperchaotic system was found to have good characteristics when compared with other systems utilized for S-box construction. The performance assessment of the proposed S-box method was carried out based on criteria, such as high nonlinearity, a good avalanche effect, bit-independent criteria, and low differential uniformity. The proposed method was also analyzed for the batch-generation of 8 × 8 S-boxes. The analyses found that through a proposed purely chaos-based method, an 8 × 8 S-box with a maximum average high nonlinearity of 108.5, or S-boxes with differential uniformity as low as 8, can be retrieved. Moreover, small-sized S-boxes with high nonlinearity and low differential uniformity are also obtainable. A performance comparison of the anticipated method with recent S-box proposals proved its dominance and effectiveness for a strong bijective S-box construction. View Full-Text
Keywords: substitution-box; bijective; 5-D hyperchaotic system; batch-generation; small-sized S-boxes substitution-box; bijective; 5-D hyperchaotic system; batch-generation; small-sized S-boxes
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Al Solami, E.; Ahmad, M.; Volos, C.; Doja, M.N.; Beg, M.M.S. A New Hyperchaotic System-Based Design for Efficient Bijective Substitution-Boxes. Entropy 2018, 20, 525.

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