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Multiple-image encryption algorithm based on a new composite chaotic system and 3D coordinate matrix

Author

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  • Gao, Qisu
  • Zhang, Xiaoqiang

Abstract

The image encryption technology is an important means to ensure network digital data transmission security. To improve the security and encryption computational efficiency, this paper proposes a new chaos-based image encryption algorithm. First, a new two-dimensional chaotic system is designed by coupling Sine and Henon maps. Comparative tests with other chaotic maps are conducted, and the results show that the new hybrid chaotic map has better chaotic performance in terms of the bifurcation diagram, Lyapunov exponent, sensitivity, etc.; second, a three-dimensional coordinate matrix is designed by the new chaotic system for the scrambling operation of multiple images; finally, the exclusive OR operation based on chaotic system is used for the pixel diffusion to obtain encrypted images. Experimental results show that the histograms of the encrypted images are even and the correlation coefficients approach 0. Meanwhile, the proposed algorithm can effectively resist the chosen plaintext attack, brute force attack, clipping attack, salt and pepper noise attack, etc.

Suggested Citation

  • Gao, Qisu & Zhang, Xiaoqiang, 2024. "Multiple-image encryption algorithm based on a new composite chaotic system and 3D coordinate matrix," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924011391
    DOI: 10.1016/j.chaos.2024.115587
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    References listed on IDEAS

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    1. Liu, Xilin & Tong, Xiaojun & Wang, Zhu & Zhang, Miao, 2022. "A new n-dimensional conservative chaos based on Generalized Hamiltonian System and its’ applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. 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.
    3. Zijing Gao & Zeyu Liu & Lichan Wang & Piergiulio Tempesta, 2021. "An Image Encryption Algorithm Based on the Improved Sine-Tent Map," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-16, October.
    4. Xiaoqiang Zhang & Mi Liu & Xiaochang Yang, 2023. "Color Image Encryption Algorithm Based on Cross-Spiral Transformation and Zone Diffusion," Mathematics, MDPI, vol. 11(14), pages 1-28, July.
    5. Jie Zhang & Enze Liu, 2024. "Circuit design and image encryption of CNN chaotic system based on memristor," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(7), pages 1-19, July.
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    Cited by:

    1. Mingrui Qi & Dongdong Wang, 2025. "Secure Parallel Image Cryptographic Hash Function Using a Novel 2D High-Randomness Hyperchaotic Map," Mathematics, MDPI, vol. 13(11), pages 1-18, June.

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