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A new simple one-dimensional chaotic map and its application for image encryption

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Abstract

In this paper, we propose a new simple one-dimensional chaotic map. The chaotic characteristics have been declared by using bifurcation analysis and Lyapunov exponent analysis. Furthermore, we propose a new image encryption algorithm based on this new chaotic map. Both shuffling algorithm and substitution algorithm are related to this map. Many statistical tests and security analysis indicate that this algorithm has an excellent security performance, and can be competitive with some other recently proposed image encryption algorithms.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (61601215).

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Authors and Affiliations

  1. School of Software, Nanchang University, Nanchang, 330031, People’s Republic of China

    Lingfeng Liu

  2. Faculty of Science, Nanchang Institute of Technology, Nanchang, 330029, People’s Republic of China

    Suoxia Miao

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  1. Lingfeng Liu
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  2. Suoxia Miao
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Correspondence to Lingfeng Liu.

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Liu, L., Miao, S. A new simple one-dimensional chaotic map and its application for image encryption. Multimed Tools Appl 77, 21445–21462 (2018). https://doi.org/10.1007/s11042-017-5594-9

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  • DOI: https://doi.org/10.1007/s11042-017-5594-9

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