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On the security of image cryptosystems using DRPE based on scrambling and diffusion

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Abstract

Double random phase encoding (DRPE) is one of the most classic methods in optical image encryption. Since the linear property of DRPE makes the encryption system based on DRPE vulnerable to attacks, the researchers have introduced the scrambling and diffusion structure on the basis of DRPE. However, it is found in this study that the added scrambling and diffusion operations cannot destroy the linear property of DRPE totally, and there are still some security holes. This paper proposes an attack scheme for a class of the DRPE encryption systems based on scrambling and diffusion, and reveals the equivalent encryption methods to the original cryptosystems. The experimental results show that the structural similarity index measure and correlation coefficient index of the plaintext image and original image recovered by the attack method are close to 1. The effectiveness of the scheme is proved by mathematical analysis and experimental results.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Funding

This work was supported by the Key Program of Higher Education Institutions of Henan Province (23A520009).

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Authors and Affiliations

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

    Ming Li, Haiju Fan, Yanfang Liu & Huizhi Zhang

  2. Key Laboratory of Artificial Intelligence and Personalized Learning in Education of Henan Province, **nxiang, 453007, China

    Ming Li, Haiju Fan, Yanfang Liu & Huizhi Zhang

  3. College of Computer Science and Engineering, Chongqing University of Technology, Chongqing, 400054, China

    Hai Nan

  4. School of Information Engineering, Anyang Vocational and Technical College, Anyang, 455099, China

    Mengdie Wang

Authors
  1. Ming Li
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  2. Mengdie Wang
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  3. Haiju Fan
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  4. Yanfang Liu
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  5. Huizhi Zhang
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Contributions

Ming Li: Conceptualization, Methodology, Writing- Reviewing and Editing. Mengdie Wang: Data curation, Writing- Original draft preparation. Haiju Fan: Software, Methodology. Yanfang Liu: Software, Investigation. Huizhi Zhang: Visualization, Investigation. Hai Nan: Validation, Conceptualization.

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Correspondence to Hai Nan.

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Li, M., Wang, M., Fan, H. et al. On the security of image cryptosystems using DRPE based on scrambling and diffusion. Opt Quant Electron 56, 241 (2024). https://doi.org/10.1007/s11082-023-05689-6

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