Constructing S-Box Using Fractional-Order Nonlinear Coupled Map and Elementary Cellular Automata


Liyan Liu, Cheng Zhang, and Yingqian Zhang, Journal of Information Processing Systems Vol. 21, No. 2, pp. 216-226, Apr. 2025  

https://doi.org/10.3745/JIPS.03.0204
Keywords: Elementary Cellular Automaton, Fractional-Order Nonlinear Coupled Map Lattices, S-box
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Abstract

A novel substitution box (S-box) construction method is proposed by using a fractional-order nonlinear coupled map lattices chaotic system combined with an elementary cellular automaton. An original S-box is produced by utilizing chaos sequences from the fractional-order nonlinear coupled map lattices spatiotemporal chaotic system. The S-box elements are then rearranged by applying different state values of various cells in the elementary cellular automaton. These chaotic sequences with independent properties are subsequently used to perturb the S-box’s elements. Comparative results with previous schemes indicate that the constructed S-box demonstrates enhanced security performance and could be effectively utilized in the development of block encryption algorithms.


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Cite this article
[APA Style]
Liu, L., Zhang, C., & Zhang, a. (2025). Constructing S-Box Using Fractional-Order Nonlinear Coupled Map and Elementary Cellular Automata. Journal of Information Processing Systems, 21(2), 216-226. DOI: 10.3745/JIPS.03.0204.

[IEEE Style]
L. Liu, C. Zhang, a. Y. Zhang, "Constructing S-Box Using Fractional-Order Nonlinear Coupled Map and Elementary Cellular Automata," Journal of Information Processing Systems, vol. 21, no. 2, pp. 216-226, 2025. DOI: 10.3745/JIPS.03.0204.

[ACM Style]
Liyan Liu, Cheng Zhang, and and Yingqian Zhang. 2025. Constructing S-Box Using Fractional-Order Nonlinear Coupled Map and Elementary Cellular Automata. Journal of Information Processing Systems, 21, 2, (2025), 216-226. DOI: 10.3745/JIPS.03.0204.