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Analyses and improvement of a broadcasting multiple blind signature scheme based on quantum GHZ entanglement

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Abstract

A broadcasting multiple blind signature scheme based on quantum GHZ entanglement has been presented recently. It is said that the scheme’s unconditional security is guaranteed by adopting quantum key preparation, quantum encryption algorithm and quantum entanglement. In this paper, we prove that each signatory can get the signed message just by an intercept–resend attack. Then, we show there still exist some participant attacks and external attacks. Specifically, we verify the message sender Alice can impersonate each signatory to sign the message at will, and so is the signature collector Charlie. Also, we demonstrate that the receiver Bob can forge the signature successfully, and with respect to the external attacks, the eavesdropper Eve can modify the signature at random. Besides, we discover Eve can change the signed message at random, and Eve can impersonate Alice as the message sender without being discovered. In particular, we propose an improved scheme based on the original one and show that it is secure against not only the attacks mentioned above but also some collusion attacks.

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Acknowledgements

The authors would like to thank the referees for their very helpful suggestions that greatly helped to improve the quality of this paper. This work is supported in part by the National Natural Science Foundation of China (Nos. 61572532, 61272058), the Natural Science Foundation of Qiannan Normal College for Nationalities joint Guizhou Province of China (No. Qian-Ke-He LH Zi[2015]7719), the Natural Science Foundation of Central Government Special Fund for Universities of West China (No. 2014ZCSX17) and the Foundation of Graduate Education Reform of Wuyi University (No. YJS-JGXM-14-02).

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Authors and Affiliations

  1. Institute of Computer Science Theory, School of Data and Computer Science, Sun Yat-sen University, Guangzhou, 510006, China

    Wei Zhang & Daowen Qiu

  2. The Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University, Guangzhou, 510006, China

    Wei Zhang & Daowen Qiu

  3. School of Mathematics and Statistics, Qiannan Normal College for Nationalities, Duyun, 558000, China

    Wei Zhang

  4. School of Mathematics and Computational Science, Wuyi University, Jiangmen, 529020, China

    Xiangfu Zou

  5. SQIG–Instituto de Telecomunicações, Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001, Lisbon, Portugal

    Paulo Mateus

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  1. Wei Zhang
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  2. Daowen Qiu
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  3. Xiangfu Zou
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  4. Paulo Mateus
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Correspondence to Daowen Qiu.

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Zhang, W., Qiu, D., Zou, X. et al. Analyses and improvement of a broadcasting multiple blind signature scheme based on quantum GHZ entanglement. Quantum Inf Process 16, 150 (2017). https://doi.org/10.1007/s11128-017-1602-2

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