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Break an enhanced plaintext-related chaotic image encryption algorithm

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  • Zhou, Rong
  • Yu, Simin

Abstract

This paper presents a comprehensive security analysis on an improved chaos-based image encryption algorithm. The initial algorithm, proposed by Li et al., involves permutation related to the sum of plaintext pixel values and diffusion associated with 9 specific pixel values in the permuted image. However, a thorough analysis conducted by Liu et al. reveals two major flaws in it: firstly, the 9 specific pixel values are not involved in the diffusion process; secondly, the permutation method exhibits significant vulnerabilities. In response to these shortcomings, Liu et al. proposed targeted improvements on it, which include incorporating a permutation step for the 9 specific pixels and enhancing the original permutation method. In this study, we analyze the improved algorithm and discover that it still possesses security vulnerabilities, rendering it susceptible to chosen-plaintext attack. By constructing three categories of special plaintexts, one can decipher the equivalent permutation and diffusion. Theoretical analysis and experimental results provide strong evidence for the effectiveness of our analysis in this paper.

Suggested Citation

  • Zhou, Rong & Yu, Simin, 2024. "Break an enhanced plaintext-related chaotic image encryption algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    • Handle: RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924001747
    DOI: 10.1016/j.chaos.2024.114623
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    References listed on IDEAS

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    1. Parveiz Nazir Lone & Deep Singh & Veronika Stoffová & Deep Chandra Mishra & Umar Hussain Mir & Neerendra Kumar, 2022. "Cryptanalysis and Improved Image Encryption Scheme Using Elliptic Curve and Affine Hill Cipher," Mathematics, MDPI, vol. 10(20), pages 1-18, October.
    2. Wang, Xingyuan & Wang, Mingjun, 2008. "A hyperchaos generated from Lorenz system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3751-3758.
    3. Munir, Noor & Khan, Majid & Jamal, Sajjad Shaukat & Hazzazi, Mohammad Mazyad & Hussain, Iqtadar, 2021. "Cryptanalysis of hybrid secure image encryption based on Julia set fractals and three-dimensional Lorenz chaotic map," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 826-836.
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