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2018 Volume 27 Issue 3
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Zeyu Liu, Tiecheng Xia, Jinbo Wang. 2018: Image encryption technique based on new two-dimensional fractional-order discrete chaotic map and Menezes-Vanstone elliptic curve cryptosystem, Chinese Physics B, 27(3): 161-176. doi: 10.1088/1674-1056/27/3/030502
Citation: Zeyu Liu, Tiecheng Xia, Jinbo Wang. 2018: Image encryption technique based on new two-dimensional fractional-order discrete chaotic map and Menezes-Vanstone elliptic curve cryptosystem, Chinese Physics B, 27(3): 161-176. 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

  • Department of Mathematics, Shanghai University, Shanghai 200444, China

  • Science and Technology on Communication Security Laboratory, Chengdu 610041, China

  • Available Online: 01/01/2018
  • Fund Project: the National Natural Science Foundation of China (Grant .61072147 and 11271008)
  • 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.
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通讯作者: 陈斌, bchen63@163.com
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Image encryption technique based on new two-dimensional fractional-order discrete chaotic map and Menezes-Vanstone elliptic curve cryptosystem

  • Available Online: 01/01/2018

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.

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