A Chaotic Image Encryption Algorithm Based on a Dynamical Feedback Operation

Abstract:

This paper designs an image encryption algorithm with a dynamical feedback operation based on sensitive chaotic system. In the proposed algorithm, the piece wise linear chaotic map is selected to construct pseudo-random keystream sequences. The pseudorandom keystream sequences are used to permute and substitute the plain image data. To enhance the complexity and security of the algorithm, each pixel is dynamically confused by its two previous adjacent encrypted pixels which are specified by a quantized binary tuple derived from a chaotic element. Both theoretical analysis and experimental tests show that the proposed algorithm is secure and efficient.

• Periodical: Advanced Materials Research (Volumes 989-994)
• Pages: 3561-3566
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.989-994.3561
• Online since: July 2014
• Authors: Guo Sheng Gu*, Jie Ling, Guo Bo Xie, Yu Yi Ou
• Keywords: Chaotic Map, Dynamical Diffusion, Image Encryption

References

[1] J. Fridrich. Symmetric ciphers based on two-dimensional chaotic maps. Int. J. Bifurcation and Chaos, vol. 8, no. 6, 1998: 1259-1284.

DOI: 10.1142/s021812749800098x

[2] G. R. Chen, Y. B. Mao, K. C. Charles. A symmetric image encryption scheme based on 3D chaotic cat maps. Chaos, Solutions & Fractals, 2004, 21(3): 749-761.

DOI: 10.1016/j.chaos.2003.12.022

[3] A. N. Pisarchik, M. Zanin. Image encryption with chaotically coupled chaotic maps. Physica D: Nonlinear Phenomena, 2008, 237(20): 2638-2648.

DOI: 10.1016/j.physd.2008.03.049

[4] X. Tong, M. Cui, Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator. Signal Processing, 2009, 89(4): 480-491.

DOI: 10.1016/j.sigpro.2008.09.011

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

DOI: 10.1016/j.optcom.2011.07.070

[6] W. Yong, W. W. Kwok, X. F. Liao, et al. A new chaos-based fast image encryption algorithm. Applied Soft Computing. 2011, 11(1): 514-522.

DOI: 10.1016/j.asoc.2009.12.011

[7] X. Y. Wang, X. Qin. A new pseudo-random number generator based on CML and chaotic iteration. Nonlinear Dynamics. 2012, 70: 1589-1592.

DOI: 10.1007/s11071-012-0558-0

[8] S. M. Seyedzadeh, S. Mirzakuchaki. A fast color image encryption algorithm based on coupled two-dimensional piecewise chaotic map. Signal Processing. 2012, 92(5): 1202-1215.

DOI: 10.1016/j.sigpro.2011.11.004

[9] N. Bigdeli, Y. Farid, K. Afshar. A novel image encryption/decryption scheme based on chaotic neural networks. Engineering Applications of Artificial Intelligence, 2012, 25(4): 753-765.

DOI: 10.1016/j.engappai.2012.01.007

[10] C. Y. Song, Y. L Qiao, X. Z. Zhang. An image encryption scheme based on new spatiotemporal chaos. Optik - Int. J. Light Electron Opt. 2012, http: /dx. doi. org/10. 1016/j. ijleo. 2012. 11. 002.

[11] X. L. Huang. Image encryption algorithm using chaotic Chebyshev generator. Nonlinear Dynamics. 2012, 67: 2411–2417.

DOI: 10.1007/s11071-011-0155-7

[12] Q. Zhang, L. Guo, X. P. Wei. A novel image fusion encryption algorithm based on DNA sequence operation and hyper-chaotic system. Optik - Int. J. Light Electron Opt. 2013, http: /dx. doi. org/10. 1016/j. ijleo. 2012. 11. 018.

DOI: 10.1016/j.ijleo.2012.11.018

[13] D. R. Stinson, Cryptography: Theory and Practice. CRC press, (2007).