Abstract
Digital image scrambling is commonly used for image data security. This paper proposes an image scrambling algorithm based on chaos theory and Vigenère cipher. The scrambling process is performed on the grey level of each pixel by sorting the chaotic sequence as Vigenère cipher, then the pixel positions are shuffled by accompanied chaotic sequence. The new scheme avoid discretization of chaotic sequence, therefore there is no requirement of probability density function of the chaotic orbits. The simulation and experiments validate the effectiveness and efficiency of the proposed new algorithm.
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References
Blackledge JM, Ahmad M, Omar F (2010) Chaotic image encryption algorithm based on frequency domain scrambling. Articles. Paper 16. http://arrow.dit.ie/engscheleart2/16. Accessed 5 July 2011
Chattopadhyay D, Mandal MK, Nandi D (2011) Symmetric key chaotic image encryption using circle map. Indian J Sci Technol 4(5):593–599
Chen G, Mao Y, Chui CK (2004) A symmetric image encryption scheme based on 3D chaotic cat maps. Chaos, Solitons Fractals 21:749–761
Flickr[EB/OL]. http://www.flickr.com/. Accessed 1 August 2011
Han F, Yu X, Han S (2006) Improved baker map for image encryption. In: International symposium on systems and control in aerospace and astronautics, pp 1273–1276
Hu M, Tian X, Xia S, Qin Y (2010) Image scrambling based on 3-D Hilbert curve. In: 3rd international Congress on Image and Signal Processing (CISP), Yantai, China, pp 147–149
Kadir R, Maarof MA (2011) Randomness analysis of pseudorandom bit sequences. In: 2009 international conference on computer engineering and applications, IPCSIT, vol 2(2011). IACSIT Press, Singapore, pp 390–394
Li S, Tan Y, Zhang H (2008) A digital image scrambling algorithm using Veginère coding. Computer Engineering 34(10):144–146
Li S, Zhao Y (2011) Image scrambling based on chaos theory and Vigenère cipher. In: The 7-th intenational conference on computational intelligence and security (CIS’2011), Sanya, China, pp 555–558
Lian S, Sun J, Wang Z (2005) A block cipher based on a suitable use of the chaotic standard map. Chaos, Solitons Fractals 26:117–129
Shannon CE (1948) A mathematical theory of communication. Bell Syst Tech J 27:379–423, 623–656
Tong X, Cui M (2008) Image encryption with compound chaotic sequence cipher shifting dynamically. IEEE Trans Multimedia 26:843–850
Xiangdong L, Junxing Z, Jinhai Z, Xiqin H (2008) Image scrambling algorithm based on chaos theory and sorting transformation. Int J Comput Sci Net Sec 8(1):64–58
Xu S, Wang Y (2010) A novel image encryption scheme based on a nonlinear chaotic map. Int J Image Graphic Sign Proc 1:61–68
Yan-mei C, Sheng-yuan Z (2006) A method for digital image scrambling based on AES. Journal of Image and Graphics 11(8):1076–1080
Yang Y-l, Cai N, Ni G-q (2006) Digital image scrambling technology based on the symmetry of Arnold transform. J Beijing Inst Technol 15(2):216–220
Yang L, Yang-yu F, Chong-yang H (2006) Information hiding technology based on image second-scrambling. Journal of Image and Graphics 11(8):1088–1091
Zeng W, Lei S (2003) Efficient frequency domain selective scrambling of digital video. IEEE Trans Multimedia 1:118–129
Acknowledgements
The project is supported by Natural Science Basic Research Plan in Shaanxi Province of China (Program No.2011JQ8014) and the Special Fund for Basic Scientific Research of Central Colleges, Chang’an University (Program No. CHD2011JC014).
The project is also received supports from Shaanxi Traffic intelligent detection and Equipment Engineering Technology Research Center’s open fund.
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A preliminary vision of this paper appeared in CIS’2011 [9]. Compared with the preliminary vision, we have enhanced the following aspects: (1) A new algorithm is proposed in this paper by adding position scrambling with accompanied chaotic sequence to the system. The scrambling algorithm proposed in this paper is performed on pixel grey levels and positions; (2) Chaotic map is extended to multi-dimensional; (3) Additional related work, analysis, and experimental results have been provided; and (4) Comparison between algorithms proposed in this paper and in [9] is presented in experiment section.
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Li, S., Zhao, Y., Qu, B. et al. Image scrambling based on chaotic sequences and Veginère cipher. Multimed Tools Appl 66, 573–588 (2013). https://doi.org/10.1007/s11042-012-1281-z
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DOI: https://doi.org/10.1007/s11042-012-1281-z