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A Novel Eighth-Order Hyperchaotic System and Its Application in Image Encryption

Author

Listed:
  • Hanshuo Qiu

    (School of Information Science and Engineering, Lanzhou University, No.222, TianShui Road(south), Lanzhou 730000, China)

  • Xiangzi Zhang

    (School of Psychology, Northwest Normal University, No.967 Anning East Road, Lanzhou 730000, China)

  • Huaixiao Yue

    (School of Computer Science, Nanjing University of Posts and Telecommunications, No.66 New Model Road, Nanjing 210003, China)

  • Jizhao Liu

    (School of Information Science and Engineering, Lanzhou University, No.222, TianShui Road(south), Lanzhou 730000, China)

Abstract

With the advancement in information and communication technologies (ICTs), the widespread dissemination and sharing of digital images has raised concerns regarding privacy and security. Traditional methods of encrypting images often suffer from limitations such as a small key space and vulnerability to brute-force attacks. To address these issues, this paper proposes a novel eighth-order hyperchaotic system. This hyperchaotic system exhibits various dynamic behaviors, including hyperchaos, sub-hyperchaos, and chaos. The encryption scheme based on this system offers a key space larger than 2 2338 . Through a comprehensive analysis involving histogram analysis, key space analysis, correlation analysis, entropy analysis, key sensitivity analysis, differential attack analysis, and cropping attack analysis, it is demonstrated that the proposed system is capable of resisting statistical attacks, brute force attacks, differential attacks, and cropping attacks, thereby providing excellent security performance.

Suggested Citation

  • Hanshuo Qiu & Xiangzi Zhang & Huaixiao Yue & Jizhao Liu, 2023. "A Novel Eighth-Order Hyperchaotic System and Its Application in Image Encryption," Mathematics, MDPI, vol. 11(19), pages 1-29, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4099-:d:1249410
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    References listed on IDEAS

    as
    1. Zhili Xiong & Shaocheng Qu & Jing Luo, 2019. "Adaptive Multi-Switching Synchronization of High-Order Memristor-Based Hyperchaotic System with Unknown Parameters and Its Application in Secure Communication," Complexity, Hindawi, vol. 2019, pages 1-18, December.
    2. Yu, Yongguang & Li, Han-Xiong & Wang, Sha & Yu, Junzhi, 2009. "Dynamic analysis of a fractional-order Lorenz chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1181-1189.
    3. Anishchenko, V.S. & Vadivasova, T.E. & Okrokvertskhov, G.A. & Strelkova, G.I., 2003. "Correlation analysis of dynamical chaos," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 199-212.
    4. Xiaoyan Zhang & Chao Wang & Sheng Zhong & Qian Yao, 2013. "Image Encryption Scheme Based on Balanced Two-Dimensional Cellular Automata," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, November.
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    Cited by:

    1. Mingxu Wang & Xianping Fu & Xiaopeng Yan & Lin Teng, 2024. "A New Chaos-Based Image Encryption Algorithm Based on Discrete Fourier Transform and Improved Joseph Traversal," Mathematics, MDPI, vol. 12(5), pages 1-19, February.

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