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Image Encryption Technology Based On Fractional Two-Dimensional Discrete Chaotic Map Accompanied With Menezes-Vanstone Elliptic Curve Cryptosystem

Author

Listed:
  • ZE-YU LIU

    (College of science, Northwest A&F University, Yangling District, Shaanxi 712100, P. R. China)

  • TIECHENG XIA

    (��Department of Mathematics, Shanghai University, Shanghai, Shanghai 200444, P. R. China)

  • YI-PING WANG

    (College of science, Northwest A&F University, Yangling District, Shaanxi 712100, P. R. China)

Abstract

A new fractional two-dimensional triangle function combination discrete chaotic map (2DTFCDM) with the discrete fractional difference is proposed in this paper. The chaos behaviors are observed through the bifurcation diagrams, the largest Lyapunov exponent plot and the phase portraits. The proposed map is applied in color image encryption with the secret keys generated by Menezes–Vanstone Elliptic Curve Cryptosystem. The image encryption system is analyzed using six aspects indicating the superiority of the proposed algorithm compared to the other algorithms.

Suggested Citation

  • Ze-Yu Liu & Tiecheng Xia & Yi-Ping Wang, 2021. "Image Encryption Technology Based On Fractional Two-Dimensional Discrete Chaotic Map Accompanied With Menezes-Vanstone Elliptic Curve Cryptosystem," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-17, May.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:03:n:s0218348x2150064x
    DOI: 10.1142/S0218348X2150064X
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    Cited by:

    1. Yao, Yu & Wu, Li-Bing, 2022. "Backstepping control for fractional discrete-time systems," Applied Mathematics and Computation, Elsevier, vol. 434(C).

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