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OCML-based colour image encryption

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  • Rhouma, Rhouma
  • Meherzi, Soumaya
  • Belghith, Safya

Abstract

The chaos-based cryptographic algorithms have suggested some new ways to develop efficient image-encryption schemes. While most of these schemes are based on low-dimensional chaotic maps, it has been proposed recently to use high-dimensional chaos namely spatiotemporal chaos, which is modelled by one-way coupled-map lattices (OCML). Owing to their hyperchaotic behaviour, such systems are assumed to enhance the cryptosystem security. In this paper, we propose an OCML-based colour image encryption scheme with a stream cipher structure. We use a 192-bit-long external key to generate the initial conditions and the parameters of the OCML. We have made several tests to check the security of the proposed cryptosystem namely, statistical tests including histogram analysis, calculus of the correlation coefficients of adjacent pixels, security test against differential attack including calculus of the number of pixel change rate (NPCR) and unified average changing intensity (UACI), and entropy calculus. The cryptosystem speed is analyzed and tested as well.

Suggested Citation

  • Rhouma, Rhouma & Meherzi, Soumaya & Belghith, Safya, 2009. "OCML-based colour image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 309-318.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:1:p:309-318
    DOI: 10.1016/j.chaos.2007.07.083
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    References listed on IDEAS

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    1. Kwok, H.S. & Tang, Wallace K.S., 2007. "A fast image encryption system based on chaotic maps with finite precision representation," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1518-1529.
    2. Behnia, S. & Akhshani, A. & Mahmodi, H. & Akhavan, A., 2008. "A novel algorithm for image encryption based on mixture of chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 408-419.
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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. 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.
    3. 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.
    4. Xianglian Xue & Dongsheng Zhou & Changjun Zhou, 2020. "New insights into the existing image encryption algorithms based on DNA coding," PLOS ONE, Public Library of Science, vol. 15(10), pages 1-31, October.
    5. Yao, Zhao & Zhou, Ping & Alsaedi, Ahmed & Ma, Jun, 2020. "Energy flow-guided synchronization between chaotic circuits," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    6. 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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