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High-efficiency medical image encryption method based on 2D Logistic-Gaussian hyperchaotic map

Author

Listed:
  • Lai, Qiang
  • Hu, Genwen
  • Erkan, Uǧur
  • Toktas, Abdurrahim

Abstract

This paper designs a new medical image encryption scheme based on a new hyperchaotic map, which exhibits excellent security and high efficiency that can be applied to medical images of distinctive presentation formats. Firstly a two-dimensional Logistic-Gaussian hyperchaotic map (2D-LGHM) with a wide range of hyperchaos is constructed, and performance test metrics reveal that it has better ergodicity and unpredictability. Based on 2D-LGHM, a new medical image encryption scheme with permutation and multi-directional pixels substitution processes are established. The chaotic sequence is efficiently used to break the correlation between adjacent pixels and change the global pixel value absolutely. By means of the test of diverse medical images, the results display that the scheme has high robustness and effectiveness that can defense against different security attacks and data loss.

Suggested Citation

  • Lai, Qiang & Hu, Genwen & Erkan, Uǧur & Toktas, Abdurrahim, 2023. "High-efficiency medical image encryption method based on 2D Logistic-Gaussian hyperchaotic map," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    • Handle: RePEc:eee:apmaco:v:442:y:2023:i:c:s0096300322008062
    DOI: 10.1016/j.amc.2022.127738
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    References listed on IDEAS

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    1. Lai, Qiang & Yang, Liang & Liu, Yuan, 2022. "Design and realization of discrete memristive hyperchaotic map with application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    2. Li, Xuejun & Mou, Jun & Banerjee, Santo & Wang, Zhisen & Cao, Yinghong, 2022. "Design and DSP implementation of a fractional-order detuned laser hyperchaotic circuit with applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    3. Çavuşoğlu, Ünal & Kaçar, Sezgin & Pehlivan, Ihsan & Zengin, Ahmet, 2017. "Secure image encryption algorithm design using a novel chaos based S-Box," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 92-101.
    4. Yingchun Hu & Simin Yu & Zeqing Zhang, 2020. "On the Security Analysis of a Hopfield Chaotic Neural Network-Based Image Encryption Algorithm," Complexity, Hindawi, vol. 2020, pages 1-10, July.
    5. Lai, Qiang & Lai, Cong & Zhang, Hui & Li, Chunbiao, 2022. "Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    6. Zou, Chengye & Wang, Xingyuan & Zhou, Changjun & Xu, Shujuan & Huang, Chun, 2022. "A novel image encryption algorithm based on DNA strand exchange and diffusion," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    7. Xiuli Chai & Zhihua Gan & Yang Lu & Yiran Chen & Daojun Han, 2017. "A novel image encryption algorithm based on the chaotic system and DNA computing," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(05), pages 1-24, May.
    8. Castro, Julio Cesar Hernandez & Sierra, José María & Seznec, Andre & Izquierdo, Antonio & Ribagorda, Arturo, 2005. "The strict avalanche criterion randomness test," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(1), pages 1-7.
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    Citations

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    Cited by:

    1. Long, Guoqiang & Chai, Xiuli & Gan, Zhihua & Jiang, Donghua & He, Xin & Sun, Mengge, 2023. "Exploiting one-dimensional exponential Chebyshev chaotic map and matching embedding for visually meaningful image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Lai, Qiang & Hua, Hanqiang & Zhao, Xiao-Wen & Erkan, Uǧur & Toktas, Abdurrahim, 2023. "Image encryption using fission diffusion process and a new hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Lai, Qiang & Chen, Zhijie, 2023. "Grid-scroll memristive chaotic system with application to image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    4. Zhang, Yagang & Kong, Xue & Wang, Jingchao & Wang, Hui & Cheng, Xiaodan, 2024. "Wind power forecasting system with data enhancement and algorithm improvement," Renewable and Sustainable Energy Reviews, Elsevier, vol. 196(C).
    5. Ding, Dawei & Wang, Wei & Yang, Zongli & Hu, Yongbing & Wang, Jin & Wang, Mouyuan & Niu, Yan & Zhu, Haifei, 2023. "An n-dimensional modulo chaotic system with expected Lyapunov exponents and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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