International Journal of Computer Network and Information Security(IJCNIS)

ISSN: 2074-9090 (Print), ISSN: 2074-9104 (Online)

Published By: MECS Press

IJCNIS Vol.6, No.4, Mar. 2014

An Image Encryption Scheme Based on Chaotic Systems with Changeable Parameters

Full Text (PDF, 1089KB), PP.37-45

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Ruisong Ye, Wenhua Guo

Index Terms

Image-dependent;generalized Arnold map;piece-wise linear chaotic map;ergodicity;permutation;diffusion


This paper proposes an image encryption scheme based on chaotic system with changeable parameters depending on plain-image. A generalized Arnold map, whose control parameters are changeable and image-dependent during the iteration procedure, is utilized to generate chaotic orbits applied to permute the pixel positions. A diffusion function is also designed to realize the diffusion effect by piece-wise linear chaotic map. In both the permutation process and the diffusion process, the keystreams generated by chaotic maps are all strongly dependent on plain-image, and thereby can improve the encryption security efficiently. The major merits of the proposed image encryption scheme include a huge key space, good statistical nature resisting statistical analysis attack, differential attack, and good resistance against known-plaintext attack and chosen-plaintext attack, etc. Experimental results have been carried out with detailed analysis to show that the proposed scheme can be a potential candidate for practical image encryption.

Cite This Paper

Ruisong Ye, Wenhua Guo,"An Image Encryption Scheme Based on Chaotic Systems with Changeable Parameters", IJCNIS, vol.6, no.4, pp.37-45, 2014. DOI: 10.5815/ijcnis.2014.04.05


[1]B. Schneier, Cryptography: Theory and Practice, CRC Press, Boca Raton, 1995.

[2]E. Alvarez, A. Fernandez, P. Garcia, J. Jimenez, A. Marcano. New approach to chaotic encryption. Physics Letters A, 263 (4-6), 1999, pp. 373-375.

[3]G. Chen, Y. Mao, C.K. Chui. A symmetric image encryption scheme based on 3D chaotic cat maps. Chaos, Solitons & Fractals, 21(3), 2004, pp. 749-761.

[4]P. Li, Z. Li, W.A .Halang, G. Chen. A stream cipher based on spatiotemporal chaotic system. Chaos, Solitons & Fractals, 32(5), 2007, pp. 1867-1876.

[5]M.S. Baptista. Cryptography with chaos. Physics Letter A, 240, 1998, pp. 50-54.

[6]J. Scharinger. Fast encryption of image data using chaotic Kolmogorov flows. Journal of Electronic imaging, 7(2), 1998, pp. 318-25.

[7]H. Cheng, X.B. Li. Partial encryption of compressed images and videos. IEEE Transactions on Signal Processing, 48(8), 2000, pp. 2439-2451.

[8]J. Fridrich, Symmetric ciphers based on two-dimensional chaotic maps. International Journal of Bifurcation and chaos, 8(6), 1998, pp. 1259-1284

[9]R. Ye, Y. Ma, A Secure and Robust Image Encryption Scheme Based on Mixture of Multiple Generalized Bernoulli Shift Maps and Arnold Maps, I. J. Computer Network and Information Security, 2013,5( 7), 21-33.

[10]Y.B. Mao, G. Chen, S.G. Lian. A novel fast image encryption scheme based on 3D chaotic Baker maps. Chaos, Solitons & Fractals, 14(10), 2004, pp. 613-624

[11]Cahit Cokal, Ercan Solak, Cryptanalysis of a Chaos-based image encryption algorithm, Physics Letters A, 373, 2009, pp. 1357-1360.

[12]D. Xiao, X. Liao, P. Wei, Analysis and improvement of a chaos-based image encryption algorithm, Chaos, Solitons and Fractals, 40, 2009, pp. 2191–2199. 

[13]J. M. Liu, Q. Qu, Cryptanalysis of a substitution-diffusion based on cipher using chaotic standard and logistic map, Third International Symposium on Information Processing, 2010, pp. 67-69. 

[14]R. Rhouma, E. Solak, S. Belghith, Cryptanalysis of a new substitution-diffusion based image cipher, Commun. Nonlinear Sci. Numer. Simulat., 15, 2010, pp. 1887–1892.

[15]X. Wang, G. He, Cryptanalysis on a novel image encryption method based on total shuffling scheme, Optics Communications, 284, 2011, pp. 5804–5807.

[16]G. J. Zhang, Q. Liu, A novel image encryption method based on total shuffling scheme, Optics Communications, 284. 2011, pp. 2775–2780.

[17]R. Ye. A novel chaos-based image encryption scheme with an efficient permutation-diffusion mechanism. Optics Communications, 284, 2011, pp. 5290-5298.

[18]H. Liu, X. Wang, Color image encryption based on one-time keys and robust chaotic maps, Computers and Mathematics with Applications, 59, 2010,pp. 3320-3327.

[19]Atieh Bakhshandeh, Ziba Eslami, An authenticated image encryption scheme based on chaotic maps and memory cellular automata, Optics and Lasers in Engineering, 51, 2013, pp.665-673.

[20]V. Arnold, A. Avez, Ergodic problem in classical mechanics, Benjamin, New York, 1986.

[21]T. Xiang, X.F. Liao, C.K. Chui, An improved particle swarm optimization algorithm combined with piecewise linear chaotic map, Applied Mathematics and Computation. 190(2), 2007, pp. 1637-1645.