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An image encryption algorithm based on Baker map with varying parameter

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Abstract

Because of the excellent properties, such as unpredictability, randomness, aperiodicity, sensitive dependence on initial conditions and parameters, chaotic systems become popular in security applications. However, for a fixed chaotic system, with the development of chaos theory, the chaotic orbits may be estimated and their parameters or initial values may be predicted. In this paper, we introduce a parameter-varying Baker map (PVBM), whose output signal is non-stationary. The varying parameters disrupt the phase space of the system, which can resist the phase space reconstruction attacks and chaotic signal estimation technologies effectively. To investigate its applications, we propose a new image encryption algorithm, which is combined with chaotic shuffling and chaotic substitution. Simulation results demonstrate the proposed algorithm have high security as well as to resist various attacks.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (NSFC) under grants no. 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. An image encryption algorithm based on Baker map with varying parameter. Multimed Tools Appl 76, 16511–16527 (2017). https://doi.org/10.1007/s11042-016-3925-x

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  • DOI: https://doi.org/10.1007/s11042-016-3925-x

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