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Cryptanalysis of a secure image encryption scheme based on a novel 2D sine–cosine cross‑chaotic map

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Abstract

Recently, a new secure image encryption scheme was proposed based on a novel 2D sine–cosine cross‑chaotic map. The authors claimed that the encryption scheme they proposed was secure enough to resist all the existing cryptanalytic attacks. However, the multi-round original cryptosystem with permutation–bit diffusion structure (PBDS) was found to have three security vulnerabilities and was proved to be equivalent to the one-round cryptosystem with PBDS, which would lead to the original cryptosystem being successfully cracked by chosen-plaintext attack (CPA). Subsequently, two efficient and feasible attack schemes were proposed in this paper, and they require \(\left\lceil {\log_{2} W \times H} \right\rceil + 1\) and \(\left\lceil {\log_{256} W \times H} \right\rceil + 1\) times of CPA in total, respectively. Simulation and experimental results have verified the effectiveness and feasibility of the two attack schemes.

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Acknowledgements

The authors are grateful for the constructive comments and suggestions from the editor of the journal and the anonymous reviewers on an earlier version of the paper.

Funding

This work was supported by the Science and Technology Research Project of Henan Province (212102210413), the PhD Scientific Research Foundation of Henan Normal University (5101119170143), the Science Foundation for Young Scholars of Henan Normal University (2015QK25), and the National Natural Science Foundation of China (61602158).

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Authors and Affiliations

  1. College of Computer and Information Engineering, Henan Normal University, Xinxiang, 453007, China

    Ming Li, Pengcheng Wang, Yange Yue & Yanfang Liu

  2. Engineering Lab of Intelligence Business and Internet of Things, Henan Province, Xinxiang, 453007, China

    Ming Li, Pengcheng Wang, Yange Yue & Yanfang Liu

  3. Big Data Engineering Lab of Teaching Resources and Assessment of Education Quality, Henan Province, Xinxiang, 453007, China

    Ming Li, Pengcheng Wang, Yange Yue & Yanfang Liu

  4. Key Laboratory of Artificial Intelligence and Personalized Learning in Education of Henan Province, Xinxiang, 453007, China

    Ming Li, Pengcheng Wang, Yange Yue & Yanfang Liu

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  1. Ming Li
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Correspondence to Ming Li or Yanfang Liu.

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Li, M., Wang, P., Yue, Y. et al. Cryptanalysis of a secure image encryption scheme based on a novel 2D sine–cosine cross‑chaotic map. J Real-Time Image Proc 18, 2135–2149 (2021). https://doi.org/10.1007/s11554-021-01091-1

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  • DOI: https://doi.org/10.1007/s11554-021-01091-1

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