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A novel image encryption scheme based on an improper fractional-order chaotic system

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Abstract

Based on the features of digital image encryption and high-dimensional chaotic sequences, the paper proposes a symmetric digital image encryption algorithm by a new improper fractional-order chaotic system. The initial conditions, parameters and fractional orders of chaos are influenced by gray value of all pixels and used as secret key. Therefore, the total key length is large enough to resist any brute-force attacks. The original image is divided into four parts and encrypted by different encryption formulas. Theoretical analysis results show that the proposed encryption scheme has effective encryption and efficiencies.

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Acknowledgments

The research is supported by NNSFs of China (Grant Nos. 11161027, 11262009), Key FSN of Gansu Province, China (Grant No. 1104WCGA195), and Specialized RF for DPHE of China (Grant No. 20136204110001).

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Authors and Affiliations

  1. Department of Information Engineering, Henan Polytechnic, Zhengzhou, China

    Jianfeng Zhao

  2. Department of Minzu, Huanghe Science and Technology College, Zhengzhou, China

    Shuying Wang

  3. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, China

    Yingxiang Chang

  4. Department of Architecture and Civil Engineering, City University of Hong Kong, Hong Kong, China

    Xianfeng Li

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  1. Jianfeng Zhao
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  2. Shuying Wang
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  3. Yingxiang Chang
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  4. Xianfeng Li
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Correspondence to Jianfeng Zhao.

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Zhao, J., Wang, S., Chang, Y. et al. A novel image encryption scheme based on an improper fractional-order chaotic system. Nonlinear Dyn 80, 1721–1729 (2015). https://doi.org/10.1007/s11071-015-1911-x

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  • DOI: https://doi.org/10.1007/s11071-015-1911-x

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