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An image encryption approach based on chaotic maps

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  • Zhang, Linhua
  • Liao, Xiaofeng
  • Wang, Xuebing

Abstract

It is well-known that images are different from texts in many aspects, such as highly redundancy and correlation, the local structure and the characteristics of amplitude–frequency. As a result, the methods of conventional encryption cannot be applicable to images. In this paper, we improve the properties of confusion and diffusion in terms of discrete exponential chaotic maps, and design a key scheme for the resistance to statistic attack, differential attack and grey code attack. Experimental and theoretical results also show that our scheme is efficient and very secure.

Suggested Citation

  • Zhang, Linhua & Liao, Xiaofeng & Wang, Xuebing, 2005. "An image encryption approach based on chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 759-765.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:3:p:759-765
    DOI: 10.1016/j.chaos.2004.09.035
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    References listed on IDEAS

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    1. González, Jorge A. & Pino, Ramiro, 2000. "Chaotic and stochastic functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 276(3), pages 425-440.
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    Cited by:

    1. Bowen Zhang & Lingfeng Liu, 2023. "Chaos-Based Image Encryption: Review, Application, and Challenges," Mathematics, MDPI, vol. 11(11), pages 1-39, June.
    2. Yang, Jiyun & Liao, Xiaofeng & Yu, Wenwu & Wong, Kwok-wo & Wei, Jun, 2009. "Cryptanalysis of a cryptographic scheme based on delayed chaotic neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 821-825.
    3. Yildirim, Melih, 2022. "Optical color image encryption scheme with a novel DNA encoding algorithm based on a chaotic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    4. Enas Ali Jameel, 2022. "Digital Image Encryption Techniques: Article Review," Technium, Technium Science, vol. 4(1), pages 24-35.
    5. Zhou, Qing & Wong, Kwok-wo & Liao, Xiaofeng & Xiang, Tao & Hu, Yue, 2008. "Parallel image encryption algorithm based on discretized chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1081-1092.
    6. Gao, Haojiang & Zhang, Yisheng & Liang, Shuyun & Li, Dequn, 2006. "A new chaotic algorithm for image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 393-399.
    7. Wong, Kwok-Wo & Kwok, Bernie Sin-Hung & Yuen, Ching-Hung, 2009. "An efficient diffusion approach for chaos-based image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2652-2663.
    8. Lian, Shiguo, 2009. "Efficient image or video encryption based on spatiotemporal chaos system," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2509-2519.
    9. Behnia, S. & Akhshani, A. & Akhavan, A. & Mahmodi, H., 2009. "Applications of tripled chaotic maps in cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 505-519.
    10. Xiao, Di & Liao, Xiaofeng & Wei, Pengcheng, 2009. "Analysis and improvement of a chaos-based image encryption algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2191-2199.
    11. Mazloom, Sahar & Eftekhari-Moghadam, Amir Masud, 2009. "Color image encryption based on Coupled Nonlinear Chaotic Map," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1745-1754.
    12. Sun, Fuyan & Liu, Shutang & Li, Zhongqin & Lü, Zongwang, 2008. "A novel image encryption scheme based on spatial chaos map," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 631-640.
    13. Gao, Tiegang & Chen, Zengqiang, 2008. "Image encryption based on a new total shuffling algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 213-220.
    14. Arshad, Usman & Khan, Majid & Shaukat, Sajjad & Amin, Muhammad & Shah, Tariq, 2020. "An efficient image privacy scheme based on nonlinear chaotic system and linear canonical transformation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).

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