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.
Highlights
Recent advancements in cloud computing, smart devices, social media, etc., for communication have substantially raised the amount of users’ private data
This section deals with the performance analysis of the proposed 8 × 8 S-box against a number of well-accepted criteria, such as bijectivity, nonlinearity, strict avalanche criteria, bits independent criterion, differential uniformity, and linear approximation probability [19,20,21,22,23,24,25,31]
The idea of a strict avalanche criterion (SAC) is a generalization of the avalanche effect, introduced by Webster and Tavares in 1985 [36], is based on Shannon’s property of diffusion and implies that a little change in input causes a significant effect in the output
Summary
Recent advancements in cloud computing, smart devices, social media, etc., for communication have substantially raised the amount of users’ private data. It is worth noting were not modeled by S-box investigators.
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