IMAGE ENCRYPTION TECHNOLOGY BASED ON FRACTIONAL TWO-DIMENSIONAL DISCRETE CHAOTIC MAP ACCOMPANIED WITH MENEZES-VANSTONE ELLIPTIC CURVE CRYPTOSYSTEM

Ze-Yu Liu, Tiecheng Xia () and Yi-Ping Wang ()
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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

FRACTALS (fractals), 2021, vol. 29, issue 03, 1-17

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.

Keywords: Chaos; Discrete Fractional Calculus; Fractional 2D-TFCDM; Image Encryption; Menezes-Vanstone Elliptic Curve Cryptosystem (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X2150064X

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