Abstract
Symmetry plays an important role in nonlinear system theory. In particular, it offers several methods by which to understand and model the chaotic behavior of mathematical, physical and biological systems. This study examines chaotic behavior in the field of information security. A novel method is proposed to improve the performance of chaos-based substitution box structures. Substitution box structures have a special role in block cipher algorithms, since they are the only nonlinear components in substitution permutation network architectures. However, the substitution box structures used in modern block encryption algorithms contain various vulnerabilities to side-channel attacks. Recent studies have shown that chaos-based designs can offer a variety of opportunities to prevent side-channel attacks. However, the problem of chaos-based designs is that substitution box performance criteria are worse than designs based on mathematical transformation. In this study, a postprocessing algorithm is proposed to improve the performance of chaos-based designs. The analysis results show that the proposed method can improve the performance criteria. The importance of these results is that chaos-based designs may offer opportunities for other practical applications in addition to the prevention of side-channel attacks.
Highlights
Developments in Industry 4.0, the Internet of Things (IoT) and artificial intelligence have changed our lives significantly
The fact that chaos-based s-boxes are worse in terms of performance criteria than designs based on mathematical transformations is a serious problem
It was observed that the proposed method provides performance improvements in chaos-based s-box structures that have performance characteristics that can be evaluated below average
Summary
Developments in Industry 4.0, the Internet of Things (IoT) and artificial intelligence have changed our lives significantly. For nonlinearity measurements, which play an important role in confusion and diffusion requirements, the best achievable value in chaos-based designs is 106.75, while in the Nyberg s-box structure, that value is 112, which is the upper bound value that can be reached [7] It is possible for chaos-based designs to be more resistant to side-channel attacks than mathematical designs. The practical applicability of the proposed method, its simple structure, and the speed of producing results have been evaluated as the advantages of the proposed method This raised a new research question regarding how s-box structures with better performance criteria can be obtained by using different postprocessing techniques in the future.
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