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Cryptanalysis and enhancement of an image encryption scheme based on a 1-D coupled Sine map

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Abstract

Recently, Behzad et al. designed a 1-D chaotic coupled Sine map (CCSM) and a dynamic scrambling process based on the size of blocks and then constructed an image encryption algorithm (CSMIE) based on CCSM and the scrambling method. However, we find that the algorithm cannot be used for secure communication because it cannot resist chosen-plaintext attacks. In this paper, we first analyze the real structure of CCSM generated in a digital computer with limited precision and then propose a chosen-plaintext attack to break CSMIE according to the number of blocks. Moreover, we enhance CSMIE by designing a synchronous scrambling and diffusion mechanism which utilizes a three-dimensional hyper-chaotic system and employs the hash values of the plain-image. A series of simulation experiments are conducted to evaluate our enhanced encryption scheme. The experimental results demonstrate that the enhanced encryption scheme performs well in various test indicators and can resist the chosen-plaintext attack.

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Acknowledgements

This work is supported by National Natural Science Foundation of China (61772191, 61300217), Science and Technology Key Projects of Hunan Province (2015TP1004, 2016JC2012, 2018TP1009), Science and Technology Key Projects of ChangSha City (kq1801008, kq1804008), Hunan Province Cooperative Innovation Center of Dongting Lake Ecological Economic Zone, Hunan University Young Scholar Funds (01OS) and China Scholarship Council.

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Authors and Affiliations

  1. College of Computer Science and Electronic Engineering, Hunan University, Changsha, 410082, China

    Yu Liu & Zheng Qin

  2. College of Computer Science, Chongqing University, Chongqing, 400044, China

    Xiaofeng Liao

  3. College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, China

    Jiahui Wu

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  1. Yu Liu
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  2. Zheng Qin
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  3. Xiaofeng Liao
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  4. Jiahui Wu
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Correspondence to Zheng Qin.

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Liu, Y., Qin, Z., Liao, X. et al. Cryptanalysis and enhancement of an image encryption scheme based on a 1-D coupled Sine map. Nonlinear Dyn 100, 2917–2931 (2020). https://doi.org/10.1007/s11071-020-05654-y

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  • DOI: https://doi.org/10.1007/s11071-020-05654-y

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