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A novel chaotic image encryption algorithm based on improved baker map and logistic map

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Abstract

A novel image encryption algorithm based on double chaotic systems is proposed in this paper. On account of the limited chaotic range and vulnerability of a single chaotic map, we use the two-dimensional Baker chaotic map to control the system parameters and the state variable of the logistic chaotic map. After control, the parameter of the logistic map is varying, and the generated logistic sequence is non-stationary. The improved map has been proven to be random and unpredictable by complexity analysis. Furthermore, a novel image encryption algorithm, including shuffling and substituting processes, is proposed based on the improved chaotic maps. Many statistical tests and security analysis indicate that this algorithm has an excellent security performance, and it 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, 61862042).

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Authors and Affiliations

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

    Yuqin Luo, Jin Yu, Wenrui Lai & Lingfeng Liu

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  1. Yuqin Luo
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  2. Jin Yu
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  3. Wenrui Lai
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  4. Lingfeng Liu
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Correspondence to Lingfeng Liu.

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Luo, Y., Yu, J., Lai, W. et al. A novel chaotic image encryption algorithm based on improved baker map and logistic map. Multimed Tools Appl 78, 22023–22043 (2019). https://doi.org/10.1007/s11042-019-7453-3

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  • DOI: https://doi.org/10.1007/s11042-019-7453-3

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