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An efficient chaotic image encryption algorithm based on a generalized Arnold map

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Abstract

An efficient image encryption algorithm using the generalized Arnold map is proposed. The algorithm is composed of two stages, i.e., permutation and diffusion. First, a total circular function, rather than the traditional periodic position permutation, is used in the permutation stage. It can substantially reduce the correlation between adjacent pixels. Then, in the stage of diffusion, double diffusion functions, i.e., positive and opposite module, are utilized with a novel generation of the keystream. As the keystream depends on the processed image, the proposed method can resist known- and chosen-plaintext attacks. Experimental results and theoretical analysis indicate the effectiveness of our method. An extension of the proposed algorithm to other chaotic systems is also discussed.

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Acknowledgements

This work is part of the research project funded by the Science & Technology Program Foundation of Zhanjiang City of P.R. China (No. 2010C3112007). The authors would like to thank the editor and the anonymous reviewers for the useful comments and suggestions given.

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Authors and Affiliations

  1. College of Science, Guangdong Ocean University, Zhanjiang, 524088, Guangdong, P.R. China

    Guodong Ye

  2. Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong, P.R. China

    Guodong Ye & Kwok-Wo Wong

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  1. Guodong Ye
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  2. Kwok-Wo Wong
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Correspondence to Guodong Ye.

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Ye, G., Wong, KW. An efficient chaotic image encryption algorithm based on a generalized Arnold map. Nonlinear Dyn 69, 2079–2087 (2012). https://doi.org/10.1007/s11071-012-0409-z

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  • DOI: https://doi.org/10.1007/s11071-012-0409-z

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