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Design an irreversible key expansion algorithm based on 4D memristor chaotic system

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Abstract

The cryptanalysis results of AES show that its key expansion algorithm exists some weaknesses, such as the most round-constant are linear, and any round key can be derived from its previous or next round key, i.e., key expansion algorithm is reversible transformation. To solve these problems, we designed an irreversible key expansion algorithm based on a chaotic system. First, we introduced a 4D memristor chaotic system, and then analyzed its dynamic characteristics, such as bifurcation diagram, phase diagram, Lyapunov exponent, correlation dimension, and Kolmogorov entropy. Simulation results verified that the system exhibited complex dynamical behaviors. Further, we applied the system to design an irreversible key expansion algorithm. Experimental results verified the effectiveness of the proposed irreversible key expansion algorithm.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (No: 61662073), the Science and Technology Program of University of Jinan (No: XKY2070).

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong, China

    Ying Xu, Mengdi Zhao & Hongjun Liu

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  1. Ying Xu
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  2. Mengdi Zhao
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  3. Hongjun Liu
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Correspondence to Hongjun Liu.

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Xu, Y., Zhao, M. & Liu, H. Design an irreversible key expansion algorithm based on 4D memristor chaotic system. Eur. Phys. J. Spec. Top. 231, 3265–3273 (2022). https://doi.org/10.1140/epjs/s11734-022-00561-2

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  • DOI: https://doi.org/10.1140/epjs/s11734-022-00561-2

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