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Multiple-Image Encryption Scheme Based on an N-Dimensional Chaotic Modular Model and Overlapping Block Permutation–Diffusion Using Newly Defined Operation

Author

Listed:
  • Ziqi Zhou

    (School of Physics and Electronics, Central South University, Changsha 410083, China)

  • Xuemei Xu

    (School of Physics and Electronics, Central South University, Changsha 410083, China)

  • Zhaohui Jiang

    (School of Automation, Central South University, Changsha 410083, China)

  • Kehui Sun

    (School of Physics and Electronics, Central South University, Changsha 410083, China)

Abstract

Some existing chaotic maps have the drawbacks of a narrow range of chaotic parameters and discontinuities, which may be inherited by new chaotic systems generated from them as seed maps. We propose a chaotic model that can generate N-dimensional chaotic systems to overcome the problem. By fixing the original parameters of the seed map in the chaotic range, we then introduce new parameters and use modular operations to widen the range of the parameters and increase the complexity. Simulation results show that the generated chaotic system has good chaotic dynamics. Based on this chaotic model, we propose a multiple-image encryption algorithm that is not limited by image type, number, and size. The resistance to plaintext attacks is enhanced by a permutation–diffusion algorithm based on overlapping blocks. We design a newly defined lookup table operation based on Latin squares with enhanced nonlinearity and randomness. By adjusting the overlapping block parameters and the number of Latin squares, users can design different encryption levels to balance encryption efficiency and encryption effectiveness. The experimental results show that the proposed image encryption algorithm can effectively encrypt multiple images, and all the evaluation indexes reach the expected value.

Suggested Citation

  • Ziqi Zhou & Xuemei Xu & Zhaohui Jiang & Kehui Sun, 2023. "Multiple-Image Encryption Scheme Based on an N-Dimensional Chaotic Modular Model and Overlapping Block Permutation–Diffusion Using Newly Defined Operation," Mathematics, MDPI, vol. 11(15), pages 1-27, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3373-:d:1208616
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    References listed on IDEAS

    as
    1. Kumar, Krishna & Roy, Satyabrata & Rawat, Umashankar & Malhotra, Shashwat, 2022. "IEHC: An efficient image encryption technique using hybrid chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. Shenli Zhu & Xiaoheng Deng & Wendong Zhang & Congxu Zhu, 2023. "Image Encryption Scheme Based on Newly Designed Chaotic Map and Parallel DNA Coding," Mathematics, MDPI, vol. 11(1), pages 1-22, January.
    3. Chang, Liang & Lu, Jun-An & Deng, Xiaoming, 2005. "A new two-dimensional discrete chaotic system with rational fraction and its tracking and synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1135-1143.
    4. Chunyuan Liu & Qun Ding, 2020. "A Color Image Encryption Scheme Based on a Novel 3D Chaotic Mapping," Complexity, Hindawi, vol. 2020, pages 1-20, December.
    Full references (including those not matched with items on IDEAS)

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