【摘要】 群签名是一种能够保护签名成员隐私并确保必要时可追溯签名的密码学机制.然而,现有群签名方案大多依赖于国外密码算法.本文提出了一种基于国产SM2算法的群签名方案,在实现不可伪造性、匿名性和可追溯性等标准群签名方案安全性目标的同时,引入了抗泄露性和管理员去中心化两大创新特性.利用双线性配对技术,在有界泄露模型下构建了抗泄露群签名方案,通过部分匿名确认算法增强了签名的匿名性和部分可确认性.此外,引入分布式秘密共享机制和加法同态加密方案,实现了多管理员群签名管理,达到了去中心化管理的目的.在效率方面,方案在签名时仅需3次点乘运算,验证时仅需2次双线性配对运算,既保留了SM2算法的高效性,又实现了可容忍泄露率达到1/2的抗泄露特性.更多还原

【Abstract】 Group signature is a cryptographic mechanism that protects the privacy of signers while ensuring traceability when necessary. However, most existing group signature schemes in China rely on foreign cryptographic algorithms. This study proposes a group signature scheme based on China’s SM2 algorithm. While achieving the security goals of standard group signature schemes, such as unforgeability, anonymity, and traceability, it introduces two innovative features: leakage resilience and decentralized administration. By leveraging bilinear pairing technology, a leakage-resilient group signature scheme is constructed under the bounded leakage model, and the anonymity and partial confirmability of signatures are enhanced through a partially anonymous confirmation algorithm. Additionally, by incorporating distributed secret sharing and an additive homomorphic encryption scheme,multi-administrator group signature management is realized, achieving the goal of decentralized administration. In terms of efficiency, the proposed scheme requires only three point multiplication operations for signing and two bilinear pairing operations for verification, preserving the high efficiency of the SM2 algorithm while achieving a leakage tolerance rate of up to 1/2.更多还原