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Breaking a novel image encryption scheme based on improved hyperchaotic sequences

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Abstract

Recently, a novel image encryption scheme based on improved hyperchaotic sequences was proposed. A pseudo-random number sequence, generated by a hyper-chaos system, is used to determine two involved encryption functions, bitwise exclusive or (XOR) operation and modulo addition. It was reported that the scheme can be broken with some pairs of chosen plain-images and the corresponding cipher-images. This paper re-evaluates the security of the encryption scheme and finds that the encryption scheme can be broken with only one known plain-image. The performance of the known-plaintext attack, in terms of success probability and computation load, become even much better when two known plain-images are available. In addition, security defects on insensitivity of the encryption result with respect to changes of secret key and plain-image are also reported.

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Notes

  1. For the sake of completeness, some notations in the original paper [18] are modified under the condition that the encryption scheme is not changed.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (Nos. 61100216 and 61211130121).

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Authors and Affiliations

  1. MOE Key Laboratory of Intelligent Computing and Information Processing, College of Information Engineering, Xiangtan University, Xiangtan, 411105, Hunan, China

    Chengqing Li, Yuansheng Liu & Tao Xie

  2. Department of Mechanical Engineering, University of Hong Kong, Hong Kong, China

    Michael Z. Q. Chen

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  1. Chengqing Li
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  2. Yuansheng Liu
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  3. Tao Xie
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  4. Michael Z. Q. Chen
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Correspondence to Chengqing Li.

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Li, C., Liu, Y., Xie, T. et al. Breaking a novel image encryption scheme based on improved hyperchaotic sequences. Nonlinear Dyn 73, 2083–2089 (2013). https://doi.org/10.1007/s11071-013-0924-6

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  • DOI: https://doi.org/10.1007/s11071-013-0924-6

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