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A new image encryption algorithm based on fractional-order hyperchaotic Lorenz system |
Wang Zhen (王震)a, Huang Xia (黄霞)b, Li Yu-Xia (李玉霞)b, Song Xiao-Na (宋晓娜)c |
a College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China; b Key Laboratory of Robotics and Intelligent Technology, College of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao 266590, China; c College of Electronic and Information Engineering, Henan University of Science and Technology, Luoyang 471003, China |
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Abstract We propose a new image encryption algorithm on a basis of the fractional-order hyperchaotic Lorenz system. While in the process of generating a key stream, the system parameters and the derivative order are embedded in the proposed algorithm to enhance the security. Such an algorithm is detailed in terms of security analyses, including correlation analysis, information entropy analysis, run statistic analysis, mean-variance gray value analysis, and key sensitivity analysis. The experimental results demonstrate that the proposed image encryption scheme has the advantages of large key space and high security for practical image encryption.
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Received: 22 April 2012
Revised: 03 August 2012
Accepted manuscript online:
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PACS:
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05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Vx
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(Communication using chaos)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61004078 and 60971022), the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2009GQ009 and ZR2009GM005), the China Postdoctoral Science Foundation (Grant No. 20100481293), and the Special Funds for Postdoctoral Innovative Projects of Shandong Province, China (Grant No. 201003037). |
Corresponding Authors:
Huang Xia
E-mail: huangxia.qd@gmail.com
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Cite this article:
Wang Zhen (王震), Huang Xia (黄霞), Li Yu-Xia (李玉霞), Song Xiao-Na (宋晓娜) A new image encryption algorithm based on fractional-order hyperchaotic Lorenz system 2013 Chin. Phys. B 22 010504
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[1] |
Yu W W and Cao J D 2006 Phys. Lett. A 356 333
|
[2] |
Wang K, Pei W J, Zhou J T, Zhang Y F and Zhou S Y 2011 Acta Phys. Sin. 60 070503 (in Chinese)
|
[3] |
Wang Z, Huang X, Li N and Song X N 2012 Chin. Phys. B 21 050506
|
[4] |
Tang Y, Wang Z D and Fang J A 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 2456
|
[5] |
Tong X J and Cui M G 2009 Signal Processing 89 480
|
[6] |
Kocarev L and Jakimoski G 2001 Phys. Lett. A 289 199
|
[7] |
Yang T, Wu C W and Chua L O 1997 IEEE Trans. Circuits Syst. I 44 469
|
[8] |
Wang X Y and Zhao J F 2010 Neurocomputing 73 3224
|
[9] |
Kiani-B A, Fallahi K, Pariz N and Leung H 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 863
|
[10] |
Schneier B 1996 Applied Cryptography (New York: John Wiley & Sons)
|
[11] |
Chang C C, Hwang M S and Chen T S 2001 Journal of System and Software 58 83
|
[12] |
Shannon C E 1949 Bell System Technical Journal 28 656
|
[13] |
Fridrich J 1998 Int. J. Bifurcat. Chaos 8 1259
|
[14] |
Podlubny I 1999 Fractional Differential Equations (New York: Academic)
|
[15] |
Heaviside O 1971 Electromagnetic Theory (New York: Chelsea)
|
[16] |
Sun H G, Chen W and Chen Y Q 2009 Physica A 388 4586
|
[17] |
Sun H G, Chen W, Li C P and Chen Y Q 2010 Physica A 389 2719
|
[18] |
Zhang R X and Yang S P 2009 Acta Phys. Sin. 58 2957 (in Chinese)
|
[19] |
Zhang R X and Yang S P 2009 Chin. Phys. B 18 3295
|
[20] |
Chen Y Q, Ahn H S and Xue D Y 2006 Signal Processing 86 2794
|
[21] |
Liu Y and Xie Y 2010 Acta Phys. Sin. 59 2147 (in Chinese)
|
[22] |
Yu Y G, Li H X, Wang S and Yu J Z 2009 Chaos Soliton. Fract. 42 1181
|
[23] |
Li C P and Chen G R 2004 Physica A 341 55
|
[24] |
Lu J G 2005 Chaos Soliton. Fract. 26 1125
|
[25] |
Podlubny I 2002 J. Fract. Calc. 5 367
|
[26] |
Wang S H, Kuang J Y, Li J H, Luo Y L, Lu H P and Hu G 2002 Phys. Rev. E 66 065202
|
[27] |
Gao T G and Chen Z Q 2008 Phys. Lett. A 372 394
|
[28] |
Rhouma R and Belghith S 2008 Phys. Lett. A 372 5790
|
[29] |
Deng W H 2007 J. Comput. Appl. Math. 206 174
|
[30] |
Dadras S and Momeni H R 2010 Physica A 389 2434
|
[31] |
Tavazoei M S and Haeri M Physica A 387 57
|
[32] |
Behnia S, Akhshani A, Akhavan A and Mahmpdi H 2009 Chaos Soliton. Fract. 40 505
|
[33] |
Zhang X F and Fan J L 2010 Comput. Sci. 2 264 (in Chinese)
|
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