论文部分内容阅读
为了提高基于格的群签名的效率和实用性,本文基于小整数解问题(SIS)和错误学习问题(LWE),提出了一个新的基于格的群签名方案.该方案只需要更新一小部分群公钥和群成员私钥就可以有效地加入和撤销群成员,适用于群成员数较多和成员更新比较频繁的群签名,由群成员生成签名私钥,能够抵抗陷害攻击,在随机模型下,具有CPA-匿名性和CCA-追踪性,并且其群签名长度不再依赖于群成员的数量.与现有的方案相比,该方案有效地实现了群成员的加入和撤销,并且减小了签名的长度,更加实用.
In order to improve the efficiency and practicability of lattice-based group signature, this paper proposes a new lattice-based group signature scheme based on Small Integer Solution Problem (LIS) and LWE (Error Learning Problem), which only needs to update a small part The group public key and group member private key can effectively join and withdraw the group members, which is suitable for group signatures with more group members and members updated frequently. The group members generate signature private keys to resist fraudulent attacks. In the stochastic model , It has CPA-anonymity and CCA-traceability, and its group signature length no longer depends on the number of group members.Compared with the existing schemes, the scheme effectively achieves the membership and withdrawal of group members, and reduces Smaller signature length, more practical.