Entropy (Jul 2018)

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

  • Eesa Al Solami,
  • Musheer Ahmad,
  • Christos Volos,
  • Mohammad Najam Doja,
  • Mirza Mohd Sufyan Beg

DOI
https://doi.org/10.3390/e20070525
Journal volume & issue
Vol. 20, no. 7
p. 525

Abstract

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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.

Keywords