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Bit-level image encryption algorithm based on random-time S-Box substitution

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Abstract

To solve the shortcomings of traditional cryptography such as 3DES, AES and SM4 in encrypting multimedia information, we proposed a bit-level image encryption algorithm based on chaos and S-Box. First, we constructed a 3D discrete memristor-based chaotic map (3D-MCM), which is hyperchaotic, and has ergodicity and better randomness in a larger parameter interval, then based on it, we constructed three S-Boxes with larger key space and without weakness. Furthermore, we applied the 3D-MCM and S-Boxes to design an encryption algorithm, whose novelty is that each half-pixel is substituted with a half-pixel substitution box (HPS-Box) before S-Box substitution with random times. Experimental and security analysis results demonstrated the effectiveness of the proposed 3D-MCM and S-Box in image encryption scheme.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (no: 61662073), and 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

    Mengchen Wang, Hongjun Liu & Mengdi Zhao

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  1. Mengchen Wang
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  2. Hongjun Liu
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Correspondence to Hongjun Liu.

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Wang, M., Liu, H. & Zhao, M. Bit-level image encryption algorithm based on random-time S-Box substitution. Eur. Phys. J. Spec. Top. 231, 3225–3237 (2022). https://doi.org/10.1140/epjs/s11734-022-00638-y

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