A novel color image encryption scheme using fractional-order hyperchaotic system and DNA sequence operations

doi:10.1088/1674-1056/26/10/100504

Abstract In this paper, Adomian decomposition method (ADM) with high accuracy and fast convergence is introduced to solve the fractional-order piecewise-linear (PWL) hyperchaotic system. Based on the obtained hyperchaotic sequences, a novel color image encryption algorithm is proposed by employing a hybrid model of bidirectional circular permutation and DNA masking. In this scheme, the pixel positions of image are scrambled by circular permutation, and the pixel values are substituted by DNA sequence operations. In the DNA sequence operations, addition and substraction operations are performed according to traditional addition and subtraction in the binary, and two rounds of addition rules are used to encrypt the pixel values. The simulation results and security analysis show that the hyperchaotic map is suitable for image encryption, and the proposed encryption algorithm has good encryption effect and strong key sensitivity. It can resist brute-force attack, statistical attack, differential attack, known-plaintext, and chosen-plaintext attacks.

Keywords: color image encryption DNA sequence operation fractional calculus piecewise-linear hyperchaotic system

Received: 24 March 2017
Revised: 04 June 2017
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Vx	(Communication using chaos)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61161006 and 61573383).

Corresponding Authors: Ke-Hui Sun
E-mail: kehui@csu.edu.cn

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Li-Min Zhang(张立民), Ke-Hui Sun(孙克辉), Wen-Hao Liu(刘文浩), Shao-Bo He(贺少波) A novel color image encryption scheme using fractional-order hyperchaotic system and DNA sequence operations 2017 Chin. Phys. B 26 100504

[1]	Li J H and Liu H 2013 IET Inform. Secur. 7 265
[2]	Li C Q 2016 Signal Process. 118 203
[3]	Ai X X, Sun K H, He S B, et al. 2014 Acta Phys. Sin. 63 120511(in Chinese)
[4]	Zhang W, Yu H and Zhu Z L 2015 Opt. Commun. 338 199
[5]	Liu W H, Sun K H and Zhu C X 2016 Opt. Laser. Eng. 84 26
[6]	Ye G D, Zhao H Q and Chai H J 2016 Nonlinear Dyn. 83 2067
[7]	Chai X L, Gan Z H, Lu Y, Zhang M H and Chen Y R 2016 Chin. Phys. B 25 100503
[8]	Gong L H, Liu X B, Zheng F, and Zhou N R J. Mod. Opt. 60 1074
[9]	Liu Z J, Li S, Liu W and Liu S T Opt. Laser. Eng. 51 224
[10]	Oldham K B and Spanier J 1974 The Fractional Calculus:Theory and Application of Differentiation and Integration to Arbitrary Order (New York:Academic Press) p. 46
[11]	Bhalekar S 2012 Signal Image Video Process. 6 513
[12]	Li C B, Sprott J C and Thio W, et al. 2014 IEEE Trans. Circuits Syst. Ⅱ 61 977
[13]	He S B, Sun K H and Wang H H 2015 Entropy 17 8299
[14]	Momani S and Al-Khaled K 2005 Appl. Math. Comput. 162 1351
[15]	Wang H H, Sun K H and He S B 2015 Phys. Scr. 90 015206
[16]	Adleman L 1994 Science 266 1021
[17]	Chai X L, Gan Z H and Lu Y, et al. 2016 Chin. Phys. B 25 100503
[18]	Zhang Q, Guo L and Wei X P 2010 Math. Comput. Model. 52 2028
[19]	Kumar M, Iqbal A and Kumar P 2012 Signal Process. 125 187
[20]	Liu H J, Wang X Y and Kadir A 2012 Appl. Soft Comput. 12 1457
[21]	Wang X Y, Zhang Y Q and Zhao Y Y Nonlinear Dyn. 82 1269
[22]	Sui L S and Gao B Opt. Laser Technol. 48 117
[23]	Wang Z, Huang X, Li Y X and Song X N 2013 Chin. Phys. B 22 010504
[24]	Saberikamarposhti M, Mohammad D and Rahim M S M, et al. 2014 Nonlinear Dyn. 75 407
[25]	Watson J D and Crick F H C 1953 Nature 171 737
[26]	Zhou N R, Pan S M, Cheng S, et al. 2016 Opt. Laser Technol. 82 121
[27]	Wang X Y and Zhang H L 2015 Opt. Commun. 342 51
[28]	Wei X P, Guo L and Zhang Q, et al. 2012 J. Syst. Software 85 290
[29]	Tong X J, Wang Z and Zhang M, et al. 2015 Nonlinear Dyn. 80 1493
[30]	He S B, Sun K H and Wang H H 2014 Acta Phys. Sin. 63 030502(in Chinese)

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A novel color image encryption scheme using fractional-order hyperchaotic system and DNA sequence operations

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