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A Probabilistic Chaotic Image Encryption Scheme

Author

Listed:
  • Ali Kanso

    (Department of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait)

  • Mohammad Ghebleh

    (Department of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait)

  • Mazen Bou Khuzam

    (Department of Mathematics and Natural Sciences, American University of Iraq, Sulaimani 46001, Iraq)

Abstract

This paper proposes a probabilistic image encryption scheme that improves on existing deterministic schemes by using a chaining mode of chaotic maps in a permutation-masking process. Despite its simplicity, the permutation phase destroys any correlation between adjacent pixel values in a meaningful image. The masking phase, however, modifies the pixel values of the image at hand using pseudorandom numbers with some other initiated random numbers so that any slight change in the plain image spreads throughout the corresponding cipher image. These random numbers ensure the generation of distinct cipher images for the same plain image encryption, even if it is encrypted multiple times with the same key, thereby adding some security features. Simulations show that the proposed scheme is robust to common statistical and security threats. Furthermore, the scheme is shown to be competitive with existing image encryption schemes.

Suggested Citation

  • Ali Kanso & Mohammad Ghebleh & Mazen Bou Khuzam, 2022. "A Probabilistic Chaotic Image Encryption Scheme," Mathematics, MDPI, vol. 10(11), pages 1-26, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1910-:d:830767
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    File URL: https://www.mdpi.com/2227-7390/10/11/1910/pdf
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    References listed on IDEAS

    as
    1. Nardo, Lucas G. & Nepomuceno, Erivelton G. & Arias-Garcia, Janier & Butusov, Denis N., 2019. "Image encryption using finite-precision error," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 69-78.
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    Cited by:

    1. Heping Wen & Zhen Liu & Haowen Lai & Chongfu Zhang & Linhao Liu & Jieyi Yang & Yiting Lin & Yunqi Li & Yunlong Liao & Linchao Ma & Zefeng Chen & Rui Li, 2022. "Secure DNA-Coding Image Optical Communication Using Non-Degenerate Hyperchaos and Dynamic Secret-Key," Mathematics, MDPI, vol. 10(17), pages 1-18, September.

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