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Pixel-level and bit-level image encryption method based on Logistic-Chebyshev dynamic coupled map lattices

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  • Wang, Xingyuan
  • Du, Xiaohui

Abstract

This paper proposes two new chaotic systems. One is one-dimensional Logistic-Chebyshev map (1DLCM) and the other is Logistic-Chebyshev dynamic coupled map lattices (LCDCML). LCDCML uses 1DLCM as the dynamic coupling coefficient, which meet the cryptographic characteristics and are suitable for studying image encryption. Based on these two systems, a pixel-level and bit-level image encryption algorithm is proposed. The specific encryption algorithm first generates the chaotic sequence by the LCDCML system. The scrambling part adopts pixel-level and bit-level scrambling combined with chaotic sequences. The pixel-level scrambling uses dynamic row and column index scrambling. The bit-level scrambling uses dynamic circular traversal and dynamic cyclic shifts. Then, the image is diffused by a special formula combined with chaotic sequences. Finally, this encryption scheme can also be extended to color images. Experimental simulation and performance analysis show that the encryption algorithm has higher security.

Suggested Citation

  • Wang, Xingyuan & Du, Xiaohui, 2022. "Pixel-level and bit-level image encryption method based on Logistic-Chebyshev dynamic coupled map lattices," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921009838
    DOI: 10.1016/j.chaos.2021.111629
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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. Wang, Xingyuan & Guan, Nana & Yang, Jingjing, 2021. "Image encryption algorithm with random scrambling based on one-dimensional logistic self-embedding chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    3. Ibrahim Yasser & Fahmi Khalifa & Mohamed A. Mohamed & Ahmed S. Samrah, 2020. "A New Image Encryption Scheme Based on Hybrid Chaotic Maps," Complexity, Hindawi, vol. 2020, pages 1-23, July.
    4. Gao, Tiegang & Chen, Zengqiang, 2008. "Image encryption based on a new total shuffling algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 213-220.
    5. Xinsheng Li & Zhilong Xie & Jiang Wu & Taiyong Li, 2019. "Image Encryption Based on Dynamic Filtering and Bit Cuboid Operations," Complexity, Hindawi, vol. 2019, pages 1-16, February.
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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. Liu, Xilin & Tong, Xiaojun & Zhang, Miao & Wang, Zhu, 2023. "A highly secure image encryption algorithm based on conservative hyperchaotic system and dynamic biogenetic gene algorithms," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    3. Tuli, Rohan & Soneji, Hitesh Narayan & Churi, Prathamesh, 2022. "PixAdapt: A novel approach to adaptive image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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