A Fast Image Encryption by Bit-Chaotic-Shuffle Based on Chaotic Systems

Abstract:

Due to rapid developments in computer networking and communi- cation technology, users have begun to use personal computers to transmit images through the internet. However, this activity puts users at risk of hacker attacks and theft. Although single pixel position shuffling can eliminate an image’s contour, it cannot hide the characteristics of the grey-level spectrum. Because the dynamic trajectories of a chaotic system are highly sensitive to the initial values of the system, applying chaotic-ciphering to the image will result in a good encryption effect, and significantly enhance the key space of the encrypted image. For these reasons, this paper propose a novel and simple Bit-Chaotic-Shuffle (BCS) technique for encryption on color images that is based on multi chaotic systems. This technique not only eliminates image contours, but also disorders the characteristics of the RGB-level spectrum. This encryption method also adopts three chaotic systems in which the key space reaches 10137, thoroughly preventing decryption by an exhaustive attack. This paper further applies the correction coefficient and Mean Square Error (MSE) methods to prove the encryption and the high security performance of the proposed encryption system

• Periodical: Advanced Materials Research (Volumes 424-425)
• Pages: 761-764
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.424-425.761
• Online since: January 2012
• Authors: Chuan Kuei Huang, Hsiau Hsian Nien, Shu Li Hsu, Siang Shang Tu
• Keywords: Bit-Chaotic-Shuffle, Chaotic System, Color Image, Image Encryption, Key Space

References

[1] Chen, G., Mao, Y., Chui, C. K.: A Symmetric Image Encryption Scheme Based on 3D Chaotic Cat Maps, Chaos Solitons Fractals, 21, 749-761 (2004).

DOI: 10.1016/j.chaos.2003.12.022

[2] Zhang, L., Liao, X., Wang, X.: An Image Encryption Approach Based on Chaotic Maps, Chaos Solitons Fractals, 24, 759-765 (2005).

DOI: 10.1016/j.chaos.2004.09.035

[3] Pareek, N. K., Patidar, V., Sud, K. K.: Image Encryption Using Chaotic Logistic Map, Image Vision Computing, 24, 926-934 (2006).

DOI: 10.1016/j.imavis.2006.02.021

[4] Zhang, W., He, R.: An Encryption and Hiding Algorithm Based on Logistic Chaotic Sequences, Journal of Lanzhou Jiaotong University (Natural Sciences), 25, 80-82 (2006).

[5] Zhu, C. X., Chen, Z. G., Ouyang, W. W.: A New Image Encryption Algorithm Based on General Chen's Chaotic System, Journal of Central South University (Science and Technology), 37, 1142-1148 (2006).

[6] Sun, Z. J., Chen, Y.: A New Image Encryption Algorithm Based-on Lorenz System, Microprocessors, 3, 49-52 (2007).

[7] Kwok, H. S., Tang, W. K. S.: A Fast Image Encryption System Based on Chaotic Maps with Finite Precision Representation, Chaos Solitons Fractals, 32, 1518- 1529 (2007).

DOI: 10.1016/j.chaos.2005.11.090

[8] Gao, T., Chen, Z.: A New Image Encryption Algorithm Based on Hyper-chaos, Phys. Lett. A, 372, 394-400 (2008).

DOI: 10.1016/j.physleta.2007.07.040

[9] Guan, Z. H., Huang, F., Guan, W.: Chaos-based Image Encryption Algorithm, Phys. Lett. A, 346, 153-157 (2005).

DOI: 10.1016/j.physleta.2005.08.006

[10] Bluman, A. G.: Elementary Statistics, 3rd Edition. New York: McGraw-Hill (1998).

[11] Wang, X., Zhao, D., Chen, L.: Image Encryption Based on Extended Fractional Fourier Transform and Digital Holography Technique, Opt. Commun. 260, 449- 453 (2006).

DOI: 10.1016/j.optcom.2005.11.006