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On the cryptanalysis of an image encryption algorithm with quantum chaotic map and DNA coding

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Abstract

An Image Encryption Algorithm with the Quantum logistic and lorenz Chaotic map, and DNA Coding (IEA-QCDC) was proposed. Relying on some empirical analyzes and experimental results, the designers of IEA-QCDC claimed that this strategy can led to a significant enhancement in reliability and security. However, we investigate the essential properties of IEA-QCDC, and then propose an efficient chosen-plaintext attack to crack its equivalent permutation and diffusion key. By analyzing the encryption effect of continuous DNA encryption operations, the mathematical properties of some DNA codes were summarized. In addition, we find out that the iterative sequence obtained by the non-chaotic state is not even resistant to only-ciphertext attacks by analyzing the Lyapunov exponent and bifurcation diagrams of the quantum Logistic map. Aiming at the security vulnerabilities existing in IEA-QCDC, suggestions are put forward to improve the security and practicability of encryption algorithms, which will promote the development of cryptographic design to a certain extent.

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Funding

This work was supported by the National Natural Science Foundation of China (No. 62271157), the Natural Science Foundation of Guangdong Province (No. 2022A1515010005).

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    Authors and Affiliations

    1. Guangdong University of Technology, College of Automation, Guangzhou, 510006, Guangdong, China

      Xin Chen, Simin Yu, Qianxue Wang & Mengjie Wang

    2. Université de Bourgogne Franche-Comté, FEMTO-ST Institute, BELFORT Cedex, 90016, Franche-Comté Region, France

      Christophe Guyeux

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    1. Xin Chen
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    2. Simin Yu
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    Correspondence to Qianxue Wang.

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    Simin Yu, Qianxue Wang, Christophe Guyeux and Mengjie Wang are contributed equally to this work.

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    Chen, X., Yu, S., Wang, Q. et al. On the cryptanalysis of an image encryption algorithm with quantum chaotic map and DNA coding. Multimed Tools Appl 82, 42717–42737 (2023). https://doi.org/10.1007/s11042-023-15003-x

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