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

Entropy. 2018;20(7):525 DOI 10.3390/e20070525


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Journal Title: Entropy

ISSN: 1099-4300 (Online)

Publisher: MDPI AG

LCC Subject Category: Science: Astronomy: Astrophysics | Science: Physics

Country of publisher: Switzerland

Language of fulltext: English

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Eesa Al Solami (Department of Information Technology, University of Jeddah, Jeddah 21589, Saudi Arabia)
Musheer Ahmad (Department of Computer Engineering, Jamia Millia Islamia, New Delhi 110025, India)
Christos Volos (Department of Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece)
Mohammad Najam Doja (Department of Computer Engineering, Jamia Millia Islamia, New Delhi 110025, India)
Mirza Mohd Sufyan Beg (Department of Computer Engineering, Aligarh Muslim University, Aligarh 202002, India)


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Time From Submission to Publication: 11 weeks


Abstract | Full Text

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.