International Journal of Computer Network and Information Security (IJCNIS)
IJCNIS Vol. 6, No. 4, 8 Mar. 2014
Cover page and Table of Contents: PDF (size: 1089KB)
An Image Encryption Scheme Based on Chaotic Systems with Changeable Parameters
Full Text (PDF, 1089KB), PP.37-45
Views: 0 Downloads: 0
Author(s)
Ruisong Ye
1,*
Wenhua Guo
1
Index Terms
Image-dependent, generalized Arnold map, piece-wise linear chaotic map, ergodicity, permutation, diffusion
Abstract
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", International Journal of Computer Network and Information Security(IJCNIS), vol.6, no.4, pp.37-45, 2014. DOI:10.5815/ijcnis.2014.04.05
Reference
[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.