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A New Color Image Encryption Scheme Using CML and a Fractional-Order Chaotic System

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  • Xiangjun Wu
  • Yang Li
  • Jürgen Kurths

Abstract

The chaos-based image cryptosystems have been widely investigated in recent years to provide real-time encryption and transmission. In this paper, a novel color image encryption algorithm by using coupled-map lattices (CML) and a fractional-order chaotic system is proposed to enhance the security and robustness of the encryption algorithms with a permutation-diffusion structure. To make the encryption procedure more confusing and complex, an image division-shuffling process is put forward, where the plain-image is first divided into four sub-images, and then the position of the pixels in the whole image is shuffled. In order to generate initial conditions and parameters of two chaotic systems, a 280-bit long external secret key is employed. The key space analysis, various statistical analysis, information entropy analysis, differential analysis and key sensitivity analysis are introduced to test the security of the new image encryption algorithm. The cryptosystem speed is analyzed and tested as well. Experimental results confirm that, in comparison to other image encryption schemes, the new algorithm has higher security and is fast for practical image encryption. Moreover, an extensive tolerance analysis of some common image processing operations such as noise adding, cropping, JPEG compression, rotation, brightening and darkening, has been performed on the proposed image encryption technique. Corresponding results reveal that the proposed image encryption method has good robustness against some image processing operations and geometric attacks.

Suggested Citation

  • Xiangjun Wu & Yang Li & Jürgen Kurths, 2015. "A New Color Image Encryption Scheme Using CML and a Fractional-Order Chaotic System," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-28, March.
    • Handle: RePEc:plo:pone00:0119660
    DOI: 10.1371/journal.pone.0119660
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    References listed on IDEAS

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    1. Lian, Shiguo & Sun, Jinsheng & Wang, Zhiquan, 2005. "A block cipher based on a suitable use of the chaotic standard map," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 117-129.
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    Cited by:

    1. 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).
    2. Nasir Siddiqui & Fahim Yousaf & Fiza Murtaza & Muhammad Ehatisham-ul-Haq & M Usman Ashraf & Ahmed M Alghamdi & Ahmed S Alfakeeh, 2020. "A highly nonlinear substitution-box (S-box) design using action of modular group on a projective line over a finite field," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-16, November.
    3. Shaista Mansoor & Parsa Sarosh & Shabir A. Parah & Habib Ullah & Mohammad Hijji & Khan Muhammad, 2022. "Adaptive Color Image Encryption Scheme Based on Multiple Distinct Chaotic Maps and DNA Computing," Mathematics, MDPI, vol. 10(12), pages 1-20, June.
    4. Abdelfattah Mustafa & Reda S. Salama & Mokhtar Mohamed, 2023. "Analysis of Generalized Nonlinear Quadrature for Novel Fractional-Order Chaotic Systems Using Sinc Shape Function," Mathematics, MDPI, vol. 11(8), pages 1-17, April.
    5. Liu, Xianggang & Ma, Li, 2020. "Chaotic vibration, bifurcation, stabilization and synchronization control for fractional discrete-time systems," Applied Mathematics and Computation, Elsevier, vol. 385(C).

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