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Exploiting preprocessing-permutation–diffusion strategy for secure image cipher based on 3D Latin cube and memristive hyperchaotic system

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Abstract

In this paper, an effective image encryption algorithm based on 3D Latin cube and memristive hyperchaotic system is proposed. The architecture of preprocessing, permutation and diffusion is utilized. The original image is updated for the first time by the preprocessing process to modify statistical distribution of image pixels, which includes random data embedding and alphabetic XOR operation (AXO). Subsequently, the resulting image is converted to a 3D bit matrix, permutation based on 3D Latin cube (P3DL) and diffusion based on 3D Latin cube (D3DL) are successively manipulated on it to obtain the final cipher image, such that each bit element of plain image may move to any position across the bit plane, and the general transformation of matrix dimensions from permutation to diffusion is also unnecessary. Additionally, the adoption of preprocessing operation makes the permutation easy to resist attacks against special images. Moreover, random data used in preprocessing and 3D Latin cubes utilized in P3DL and D3DL are controlled by a 4D memristive hyperchaotic system, its initial values are computed by information entropy of plain image, which makes the chosen-plaintext and known-plaintext attacks invulnerable. Simulation results and performance analyses verify the effectiveness and security of the proposed image encryption scheme.

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Acknowledgements

All the authors are deeply grateful to the editors for smooth and fast handling of the manuscript. The authors would also like to thank the anonymous referees for their valuable suggestions to improve the quality of this paper. This work is supported by the National Natural Science Foundation of China (Grant No. 61802111, 61872125, 61871175), Science and Technology Foundation of Henan Province of China (Grant No. 182102210027, 182102410051), China Postdoctoral Science Foundation (Grant No. 2018T110723, 2016M602235), Key Scientific Research Projects for Colleges and Universities of Henan Province (Grant No. 19A413001), Natural Science Foundation of Henan Province (Grant No. 182300410164), Graduate Education Innovation and Quality Improvement Project of Henan University (Grant No. SYL18020105) and Henan Higher Education Teaching Reform Research and Practice Project (Graduate Education) (Grant No. 2019SJGLX080Y).

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Authors and Affiliations

  1. School of Artificial Intelligence, Henan University, Kaifeng, 475004, China

    Xiuli Chai, Jiangyu Fu & Jitong Zhang

  2. School of Computer and Information Engineering, Henan Key Laboratory of Big Data Analysis and Processing, Henan University, Kaifeng, 475004, China

    Daojun Han

  3. School of Software, Intelligent Data Processing Engineering Research Center of Henan Province, Institute of Intelligent Network System, Henan University, Kaifeng, 475004, China

    Zhihua Gan

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  1. Xiuli Chai
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Correspondence to Xiuli Chai.

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Chai, X., Fu, J., Zhang, J. et al. Exploiting preprocessing-permutation–diffusion strategy for secure image cipher based on 3D Latin cube and memristive hyperchaotic system. Neural Comput & Applic 33, 10371–10402 (2021). https://doi.org/10.1007/s00521-021-05797-y

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