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Image encryption algorithm based on Tent-Dynamics coupled map lattices and diffusion of Household

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  • Wang, Xingyuan
  • Xue, Wenhua
  • An, Jubai

Abstract

This paper presents an image encryption algorithm based on Tent-Dynamics Coupled Map Lattices (TDCML) system and diffusion of Household. All aspects of the TDCML spatiotemporal chaotic system proposed in this paper meet the cryptographic characteristics and are suitable for studying image encryption. The specific image encryption algorithm first generates chaotic sequences according to the TDCML system. The image scrambling uses a cyclic shift algorithm, and the movement of each row and column is determined by the chaotic sequence. Then the image diffusion is improved according to the Household orthogonal decomposition method. Think of each column of the image matrix as a row vector, and then operate according to part of the formulas in the Household transformation to obtain a new row vector. Finally, perform the bitwise XOR operation with the specified chaotic sequence to obtain the final encrypted image. Theoretical analysis and experimental results have proved the security of this encryption algorithm.

Suggested Citation

  • Wang, Xingyuan & Xue, Wenhua & An, Jubai, 2020. "Image encryption algorithm based on Tent-Dynamics coupled map lattices and diffusion of Household," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    • Handle: RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920307050
    DOI: 10.1016/j.chaos.2020.110309
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    References listed on IDEAS

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    1. Khellat, Farhad & Ghaderi, Akashe & Vasegh, Nastaran, 2011. "Li–Yorke chaos and synchronous chaos in a globally nonlocal coupled map lattice," Chaos, Solitons & Fractals, Elsevier, vol. 44(11), pages 934-939.
    2. Gao, Tiegang & Chen, Zengqiang, 2008. "Image encryption based on a new total shuffling algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 213-220.
    3. Zhang, Ying-Qian & Wang, Xing-Yuan, 2014. "Spatiotemporal chaos in mixed linear–nonlinear coupled logistic map lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 104-118.
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    Cited by:

    1. Wang, Xingyuan & Chen, Xuan, 2021. "An image encryption algorithm based on dynamic row scrambling and Zigzag transformation," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    2. Wei Feng & Xiangyu Zhao & Jing Zhang & Zhentao Qin & Junkun Zhang & Yigang He, 2022. "Image Encryption Algorithm Based on Plane-Level Image Filtering and Discrete Logarithmic Transform," Mathematics, MDPI, vol. 10(15), pages 1-24, August.
    3. Man, Zhenlong & Li, Jinqing & Di, Xiaoqiang & Sheng, Yaohui & Liu, Zefei, 2021. "Double image encryption algorithm based on neural network and chaos," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    4. Yang, Xiaofang & Lu, Tianxiu & Waseem, Anwar, 2021. "Chaotic properties of a class of coupled mapping lattice induced by fuzzy mapping in non-autonomous discrete systems," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    5. Man, Zhenlong, 2023. "Biometric information security based on double chaotic rotating diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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