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An image encryption algorithm based on the perturbed high-dimensional chaotic map

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Abstract

Due to the secure problems of low-dimensional chaos in image encryption and cycle degradation caused by computers’ finite precision, a perturbed high-dimensional chaos is designed for image encryption according to Devaney and topological conjugate definition. Perturbation is added to the new high-dimensional chaos to enlarge cycle. The characteristics of the high-dimensional chaotic map are proved by Devaney definition, and the security features are analyzed. Owe to the periodic defects of Cat map, a new separated Cat map is designed for the confusion process. The “confusion–diffusion” structure is used in the image encryption. The security test results demonstrate the proposed methods have high security, and the speed of our algorithm is faster than classical solutions.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (60973162), the Natural Science Foundation of Shandong Province of China (ZR2009GM037, ZR2014FM026), the Science and Technology of Shandong Province, China (2013GGX10129, 2010GGX10132, 2012GGX10110), the Soft Science of Shandong Province, China (2012RKA10009), the National Cryptology Development Foundation of China (No. MMJJ201301006), Foundation of Science and Technology on Information Assurance Laboratory (No. KJ-14-005) and the Engineering Technology and Research Center of Weihai Information Security.

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Authors and Affiliations

  1. School of Computer Science and Technology, Harbin Institute of Technology, Weihai, 264209, China

    Xiao Jun Tong, Zhu Wang, Miao Zhang, Yang Liu & Hui Xu

  2. Information Assurance Laboratory, Beijing, 100072, China

    Jing Ma

  3. Computer Department, Harbin Institute of Technology, Harbin Institute of Technology at Weihai, Building 20, Room 506, Weihai, 264209, Shandong Province, People’s Republic of China

    Xiao Jun Tong

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  1. Xiao Jun Tong
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  2. Zhu Wang
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  3. Miao Zhang
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  4. Yang Liu
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  5. Hui Xu
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  6. Jing Ma
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Correspondence to Xiao Jun Tong.

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Tong, X.J., Wang, Z., Zhang, M. et al. An image encryption algorithm based on the perturbed high-dimensional chaotic map. Nonlinear Dyn 80, 1493–1508 (2015). https://doi.org/10.1007/s11071-015-1957-9

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  • DOI: https://doi.org/10.1007/s11071-015-1957-9

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