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Quantum (t, m, n) Threshold Group Blind Signature Scheme with Flexible Number of Participants

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Abstract

With the progress of science and technology, as well as the development of quantum computing and quantum information theory, quantum digital signature schemes have become the focus of current research. Threshold quantum signature has been widely concerned because of its low cost, high security, strong scalability and other advantages. In this paper, we propose a quantum (t, m, n) threshold group blind signature scheme with flexible number of participants based on quantum entanglement swapping. This scheme has the following characteristics. Any m \((t\leqslant m\leqslant n)\) signers can reconstruct the key K for signature verification by using the Shamir threshold secret sharing scheme and they can generate a signature, which reflects good flexibility in the number of signers. The blind operation of the scheme is XOR operations, which is easier to implement in real scenarios. Security analysis shows that our scheme has unforgeability and non-deniablity.

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Data Availability

The data in this scheme example is rigorously derived by us, so they are valid.

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Acknowledgements

We would like to thank the anonymous reviewers for their valuable comments. This work was supported in part by the Research Program of Chongqing Education Commission under Grant KJQN202001438 and Grant KJQN202001436 and it was also supported by Qinghai Normal University Young and Middle-aged Research Fund (No. 15101049903)

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Authors and Affiliations

  1. School of Mathematics and Statistics, Qinghai Normal University, 810016, Xining, Qinghai Province, China

    Zhi-Ming Deng, Dian-Jun Lu, Teng Chen & Xing-Jia Wei

  2. School of Mathematics and Statistics, Shaanxi Normal University, 710119, Xi’an, Shaanxi Province, China

    Dian-Jun Lu & Xing-Jia Wei

  3. College of Computer Engineering, Yangtze Normal University, 408100, Chongqing, China

    Hua-Jian Mou

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  1. Zhi-Ming Deng
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by [Zhi-Ming Deng], [Dian-jun Lu], [Teng Chen], [Hua-Jian Mou] and [Xing-Jia Wei]. The frst draft of the manuscript was written by [Zhi-Ming Deng] and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript

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Correspondence to Dian-Jun Lu.

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Deng, ZM., Lu, DJ., Chen, T. et al. Quantum (t, m, n) Threshold Group Blind Signature Scheme with Flexible Number of Participants. Int J Theor Phys 62, 201 (2023). https://doi.org/10.1007/s10773-023-05449-y

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