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A chaotic image encryption algorithm based on 3-D bit-plane permutation

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Abstract

There are two shortcomings existing in the current color image encryption. One is that high correlation between R, G, B components of the original image may be neglected, the other is that the encryption has little relationship with the plain image, and then it is vulnerable to be broken. In order to solve these two problems and present secure and effective image encryption scheme, we introduce a novel chaos-based image encryption algorithm for color images based on three-dimensional (3-D) bit-plane permutation. In the proposed algorithm, the color plain image is firstly converted to 24 bit planes by RGB splitting and bit plane decomposition, next three-dimensional bit-plane permutation is performed on bit planes, position sequences for permutation are obtained from the 3D Chen chaotic system, and then the three confused components are gotten. Secondly, three key matrices are generated by a 1D chaotic system and a multilevel discretization method, and finally, the color cipher image is obtained by diffusing the confused components using key matrices. The SHA 256 hash function value of the plain image is obtained and combined with the given parameters to calculate the parameters and initial values of the chaotic system, so that the proposed scheme highly depends on the plain image and it may effectively withstand known-plaintext and chosen-plaintext attacks. Simulation results and security analyses demonstrate that our algorithm not only has good encryption effect, but can also resist against common attacks, so it is reliable to be applied for image secure communications.

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Acknowledgements

All the authors are deeply grateful to the editors for smooth and fast handling of the manuscript. The authors would also like to thank the anonymous referees for their valuable suggestions to improve the quality of this paper. This work is supported by the National Natural Science Foundation of China (Grant No. 41571417 and U1604145), National Science Foundation of the United States (Grant No. CNS-1253424 and ECCS-1202225), Science and Technology Foundation of Henan Province of China (Grant No. 182102210027 and 182102210238), China Postdoctoral Science Foundation (Grant No. 2016M602235 and 2015M582182) and the Research Foundation of Henan University (Grant No. xxjc20140006).

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Authors and Affiliations

  1. School of Software, Henan University, Kaifeng, 475004, China

    Zhi-hua Gan

  2. School of Computer and Information Engineering, Henan University, Kaifeng, 475004, China

    Xiu-li Chai & Dao-jun Han

  3. Department of Electrical and Computer Engineering, Duke University, Durham, NC, 27708, USA

    Yi-ran Chen

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  1. Zhi-hua Gan
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  2. Xiu-li Chai
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Correspondence to Xiu-li Chai.

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Gan, Zh., Chai, Xl., Han, Dj. et al. A chaotic image encryption algorithm based on 3-D bit-plane permutation. Neural Comput & Applic 31, 7111–7130 (2019). https://doi.org/10.1007/s00521-018-3541-y

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