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Multi-cube encryption scheme for multi-type images based on modified Klotski game and hyperchaotic map

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Abstract

With the advent of the big data era, designing security protection schemes for large amounts of image information has become an urgent problem. Multi-image encryption (MIE) algorithms provide a method for batch encryption of images, but the problems of compatibility of algorithms to image types and slow encryption speed have not been solved better. To address the above issues, inspired by the traditional Chinese game Klotski, this scheme is designed as a novel MIE algorithm. First, multiple plain images fused into a multi-image cube is performed with point-to-point confusion. Next, each plane is divided into a number of small pieces by different schemes, and then the different-sized pieces are stacked to form multiple cubes. Next, the faces of the small cube are rotated and exchanged positions, and then the small cube is combined into a large cube by different schemes. Finally, a diffusion operation is performed on each pixel of the large cube to generate the cipher cube. Since the size of the image cube is variable, there is no restriction on the type and size of the plain image being encrypted. The simulation and security analysis results show that the scheme can pass all the performance tests, and some of these indicators also have advantages compared to similar schemes, and in the encryption and decryption efficiency has a more obvious improvement compared to other schemes, which proves that the scheme securely and efficiently encrypts and decrypts images.

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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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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 62061014).

Funding

This work was supported by the Nationa Natural Science Foundation of China (Grant Nos. 62061014).

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Authors and Affiliations

  1. School of Information Science and Engineering, Dalian Polytechnic, Dalian, 116034, China

    Zheyi Zhang, Jun Mou & Yinghong Cao

  2. School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai, 201620, China

    Nanrun Zhou

  3. Department of Mathematical Science, Politecnico di Torino, Corso Duca degli Abruzzi 24, 610101, Turin, Italy

    Santo Banerjee

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  1. Zheyi Zhang
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Contributions

ZZ designed and carried out experiments, data analyzed and manuscript wrote. JM, NZ, and YC made the theoretical guidance for this paper. SB carried out experiment and improved the algorithm. All authors reviewed the manuscript.

Corresponding author

Correspondence to Yinghong Cao.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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The test images used in this paper are from the SIPI image database and are used for scientific research only, not for other purposes, and without copyright disputes.

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Zhang, Z., Mou, J., Zhou, N. et al. Multi-cube encryption scheme for multi-type images based on modified Klotski game and hyperchaotic map. Nonlinear Dyn 112, 5727–5747 (2024). https://doi.org/10.1007/s11071-024-09292-6

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  • DOI: https://doi.org/10.1007/s11071-024-09292-6

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