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3D variable-structure chaotic system and its application in color image encryption with new Rubik’s Cube-like permutation

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Abstract

Nowadays, images have an increasingly deep impact on human life, so it is essential to encrypt images. Among various image encryption methods, chaotic encryption is particularly prominent due to the unpredictability and initial state sensitivity of chaos. The security of chaos-based cryptosystems depends largely on the performance of the adopted chaotic systems. This paper proposes a three-dimensional variable-structure chaotic system (3DVSCS) whose structure is time-varying. The distinguished dynamical characteristics of 3DVSCS are verified by various metrics, such as lyapunov exponent, approximate entropy, etc. Taking full advantage of the chaotic sequences generated by the 3DVSCS, a novel cryptosystem (3DVSCS-IES) with the confusion–diffusion architecture is presented. To further enhance security, a novel Rubik’s Cube-like permutation method is designed to severely scramble adjacent pixels, and an iterative diffusion algorithm is employed to completely infect the entire cipher image with a slight change in the plaintext image. The security analyses show that the proposed image encryption algorithm owns better security performance than some typical state-of-art methods.

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Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Funding

This work is supported by Key R &D Program of Hubei Province (Grant No. 2020BAB104), the National Natural Science Foundation of China (Grant No. 62202183).

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Authors and Affiliations

  1. School of Cyberspace Security, Huazhong University of Science and Technology, Wuhan, 430074, China

    Jiuyang Xin & Jun Zheng

  2. School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, 430074, China

    Hanping Hu

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  1. Jiuyang Xin
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  2. Hanping Hu
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  3. Jun Zheng
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Correspondence to Jun Zheng.

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Xin, J., Hu, H. & Zheng, J. 3D variable-structure chaotic system and its application in color image encryption with new Rubik’s Cube-like permutation. Nonlinear Dyn 111, 7859–7882 (2023). https://doi.org/10.1007/s11071-023-08230-2

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