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

1
Department of Information Technology, University of Jeddah, Jeddah 21589, Saudi Arabia
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Department of Computer Engineering, Jamia Millia Islamia, New Delhi 110025, India
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Department of Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
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Department of Computer Engineering, Aligarh Muslim University, Aligarh 202002, India
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(7), 525; https://doi.org/10.3390/e20070525
Received: 25 May 2018 / Revised: 28 June 2018 / Accepted: 9 July 2018 / Published: 12 July 2018
(This article belongs to the Section Information Theory, Probability and Statistics)
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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MDPI and ACS Style

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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