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Chin. Phys. B, 2018, Vol. 27(3): 030502    DOI: 10.1088/1674-1056/27/3/030502
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Image encryption technique based on new two-dimensional fractional-order discrete chaotic map and Menezes-Vanstone elliptic curve cryptosystem

Zeyu Liu(刘泽宇)1, Tiecheng Xia(夏铁成)1, Jinbo Wang(王金波)2
1 Department of Mathematics, Shanghai University, Shanghai 200444, China;
2 Science and Technology on Communication Security Laboratory, Chengdu 610041, China
Abstract  We propose a new fractional two-dimensional triangle function combination discrete chaotic map (2D-TFCDM) with the discrete fractional difference. Moreover, the chaos behaviors of the proposed map are observed and the bifurcation diagrams, the largest Lyapunov exponent plot, and the phase portraits are derived, respectively. Finally, with the secret keys generated by Menezes-Vanstone elliptic curve cryptosystem, we apply the discrete fractional map into color image encryption. After that, the image encryption algorithm is analyzed in four aspects and the result indicates that the proposed algorithm is more superior than the other algorithms.
Keywords:  chaos      fractional two-dimensional triangle function combination discrete chaotic map      image encryption      Menezes-Vanstone elliptic curve cryptosystem     
Received:  29 September 2017      Published:  05 March 2018
PACS:  05.45.Ac (Low-dimensional chaos)  
  05.45.Df (Fractals)  
  05.45.Gg (Control of chaos, applications of chaos)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61072147 and 11271008).
Corresponding Authors:  Tiecheng Xia     E-mail:  xiatc@shu.edu.cn

Cite this article: 

Zeyu Liu(刘泽宇), Tiecheng Xia(夏铁成), Jinbo Wang(王金波) Image encryption technique based on new two-dimensional fractional-order discrete chaotic map and Menezes-Vanstone elliptic curve cryptosystem 2018 Chin. Phys. B 27 030502

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