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S-box generation algorithm based on hyperchaotic system and its application in image encryption

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Abstract

S-box is the only non-linear device in the cryptographic algorithm, and its quality determines the lower limit strength of the cryptographic algorithm. However, because the image data is highly correlated, the traditional encryption methods and their S-boxes, such as AES and DES are not suitable for using in image encryption. Based on this, this paper proposes an S-box generation algorithm based on a 4D hyperchaotic system and improved particle swarm optimization. Firstly, this paper improves on the Lorenz chaotic system and proposes a 4D hyperchaotic system with a higher Lyapunov exponent and more complex dynamics. Secondly, the idea of simulated annealing algorithm is introduced into the particle swarm optimization algorithm, which further improves the efficiency of the particle swarm optimization algorithm and improves the problem that the particle swarm optimization algorithm is easy to fall into the local optimal solution. Then an improved particle swarm optimization algorithm is used to optimize the nonlinearity of the S-box to improve the performance of the S-box. Finally, use the generated S-box to design an image encryption algorithm and prove the security of the S-box. The experimental results show that the S-box designed in this paper has excellent performance in the five indicators of Nonlinearity, SAC, BIC-NL, LP, and DP. At the same time, the encryption result can resist common attacks, so it has strong multimedia security.

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Acknowledgments

This work was supported by the following projects and foundations: project ZR2019MF054 supported by Shandong Provincial Natural Science Foundation, the National Natural Science Foundation of China (No.61902091) and Fundamental Research Funds for Central Universities (HIT.NSRIF.2020099), 2017 Weihai University Co-construction Project.

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The data that support the findings of this study are available from the corre-sponding author upon reasonable request.

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  1. Computer Science and Technology, Harbin Institute of Technology, Weihai, 264200, China

    Sen Yang, Xiaojun Tong, Zhu Wang & Miao Zhang

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  1. Sen Yang
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  2. Xiaojun Tong
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  3. Zhu Wang
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  4. Miao Zhang
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Correspondence to Xiaojun Tong.

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Yang, S., Tong, X., Wang, Z. et al. S-box generation algorithm based on hyperchaotic system and its application in image encryption. Multimed Tools Appl 82, 25559–25583 (2023). https://doi.org/10.1007/s11042-023-14394-1

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  • DOI: https://doi.org/10.1007/s11042-023-14394-1

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