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Quantum forgery attacks on COPA, AES-COPA and marble authenticated encryption algorithms

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Abstract

The classic forgery attacks on COPA, AES-COPA and Marble authenticated encryption algorithms need to query about \({2^{n/2}}\) times, and their success probability is not high. To solve this problem, the corresponding quantum forgery attacks on COPA, AES-COPA and Marble authenticated encryption algorithms are presented. In the quantum forgery attacks on COPA and AES-COPA, we use Simon’s algorithm to find the period of the tag generation function in COPA and AES-COPA by querying in superposition, and then generate a forged tag for a new message. In the quantum forgery attack on Marble, Simon’s algorithm is used to recover the secret parameter L, and the forged tag can be computed with L. Compared with classic forgery attacks on COPA, AES-COPA and Marble, our attack can reduce the number of queries from \(O({2^{n/2}})\) to O(n) and improve success probability close to 100%.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant 62071240 and Grand 61802002, the Graduate Research and Innovation Projects of Jiangsu Province (KYCX20_0978), and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (19KJB520028), and in part by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).

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Authors and Affiliations

  1. School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing, 210044, People’s Republic of China

    Yinsong Xu, Wenjie Liu & Wenbin Yu

  2. Engineering Research Center of Digital Forensics, Ministry of Education, Nanjing, 210044, People’s Republic of China

    Wenjie Liu & Wenbin Yu

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  1. Yinsong Xu
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  2. Wenjie Liu
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  3. Wenbin Yu
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Correspondence to Wenjie Liu.

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Xu, Y., Liu, W. & Yu, W. Quantum forgery attacks on COPA, AES-COPA and marble authenticated encryption algorithms. Quantum Inf Process 20, 131 (2021). https://doi.org/10.1007/s11128-021-03036-w

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