中国物理B ›› 2023, Vol. 32 ›› Issue (9): 90308-090308.doi: 10.1088/1674-1056/acac0a

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Improved quantum (t,n) threshold group signature

Yaodong Zhang(张耀东)1,†, Feng Liu(刘锋)2, and Haixin Zuo(左海新)1   

  1. 1 College of Computer Science and Technology, Shandong Technology and Business University, Yantai 264005, China;
    2 College of Mathematic and Information Science, Shandong Technology and Business University, Yantai 264005, China
  • 收稿日期:2022-09-11 修回日期:2022-12-13 接受日期:2022-12-16 发布日期:2023-08-28
  • 通讯作者: Yaodong Zhang E-mail:zhangyd136@163.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61771294 and 61972235).

Improved quantum (t,n) threshold group signature

Yaodong Zhang(张耀东)1,†, Feng Liu(刘锋)2, and Haixin Zuo(左海新)1   

  1. 1 College of Computer Science and Technology, Shandong Technology and Business University, Yantai 264005, China;
    2 College of Mathematic and Information Science, Shandong Technology and Business University, Yantai 264005, China
  • Received:2022-09-11 Revised:2022-12-13 Accepted:2022-12-16 Published:2023-08-28
  • Contact: Yaodong Zhang E-mail:zhangyd136@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61771294 and 61972235).

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摘要： Threshold signature is an important branch of the digital signature scheme, which can distribute signature rights and avoid the abuse of signature rights. With the continuous development of quantum computation and quantum information, quantum threshold signatures are gradually becoming more popular. Recently, a quantum (t,n) threshold group signature scheme was analyzed that uses techniques such as quantum-controlled-not operation and quantum teleportation. However, this scheme cannot resist forgery attack and does not conform to the design of a threshold signature in the signing phase. Based on the original scheme, we propose an improved quantum (t,n) threshold signature scheme using quantum (t,n) threshold secret sharing technology. The analysis proves that the improved scheme can resist forgery attack and collusion attack, and it is undeniable. At the same time, this scheme reduces the level of trust in the arbitrator during the signature phase.

关键词: quantum (t,n) threshold signature, quantum (t,n) threshold secret sharing, forgery attack, collusion attack

Abstract: Threshold signature is an important branch of the digital signature scheme, which can distribute signature rights and avoid the abuse of signature rights. With the continuous development of quantum computation and quantum information, quantum threshold signatures are gradually becoming more popular. Recently, a quantum (t,n) threshold group signature scheme was analyzed that uses techniques such as quantum-controlled-not operation and quantum teleportation. However, this scheme cannot resist forgery attack and does not conform to the design of a threshold signature in the signing phase. Based on the original scheme, we propose an improved quantum (t,n) threshold signature scheme using quantum (t,n) threshold secret sharing technology. The analysis proves that the improved scheme can resist forgery attack and collusion attack, and it is undeniable. At the same time, this scheme reduces the level of trust in the arbitrator during the signature phase.

Key words: quantum (t,n) threshold signature, quantum (t,n) threshold secret sharing, forgery attack, collusion attack

中图分类号:  (Quantum algorithms, protocols, and simulations)

  • 03.67.Ac
03.67.Dd (Quantum cryptography and communication security) 03.67.Hk (Quantum communication)