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A parallel image encryption algorithm based on the piecewise linear chaotic map and hyper-chaotic map

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Abstract

This paper proposes a parallel digital image encryption algorithm based on a piecewise linear chaotic map (PWLCM) and a four-dimensional hyper-chaotic map (FDHCM). Firstly, two decimals are obtained based on the plain-image and external keys, using a novel parallel quantification method. They are used as the initial value and control parameter for the PWLCM. Then, an encryption matrix and four chaotic sequences are constructed using the PWLCM and FDHCM, which control the permutation and diffusion processes. The proposed algorithm is implemented and tested in parallel based on a graphics processing unit device. Numerical analysis and experimental results show that the proposed algorithm achieves a high encryption speed and a good security performance, which provides a potential solution for real-time image encryption applications.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China under Grants 61661008 and 61603104, the Guangxi Natural Science Foundation under Grants 2017GXNSFAA198180, 2015GXNSFBA139256 and 2016GXNSFCA380017, the funding of Overseas 100 Talents Program of Guangxi Higher Education, the Research Project of Guangxi University of China under Grant KY2016YB059, Guangxi Key Lab of Multi-source Information Mining and Security under Grant MIMS15-07, the Doctoral Research Foundation of Guangxi Normal University, the Innovation Project of Guangxi Graduate Education under Grant YCSZ2017055, the Scientific Research Funds for the Returned Overseas Chinese Scholars from State Education Ministry, the Funds for Young Key Program of Education Department from Fujian Province, China (Grant No. JZ160425), Program of Education Department of Fujian Province, China (Grant No. I201501005).

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Authors and Affiliations

  1. Guangxi Key Lab of Multi-Source Information Mining and Security, Faculty of Electronic Engineering, Guangxi Normal University, Guilin, China

    Yuling Luo, Ronglong Zhou & Junxiu Liu

  2. Department of Business Transformation and Sustainable Enterprise, Surrey Business School, University of Surrey, Surrey, GU2 7XH, UK

    Yi Cao

  3. School of Computing, Engineering and Intelligent Systems, Ulster University, Derry, BT48 7JL, UK

    Xuemei Ding

  4. College of Mathematics and Informatics, Fujian Normal University, Fuzhou, 350108, China

    Xuemei Ding

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  1. Yuling Luo
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  2. Ronglong Zhou
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  3. Junxiu Liu
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  4. Yi Cao
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  5. Xuemei Ding
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Correspondence to Junxiu Liu.

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Luo, Y., Zhou, R., Liu, J. et al. A parallel image encryption algorithm based on the piecewise linear chaotic map and hyper-chaotic map. Nonlinear Dyn 93, 1165–1181 (2018). https://doi.org/10.1007/s11071-018-4251-9

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  • DOI: https://doi.org/10.1007/s11071-018-4251-9

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