密码学报（中英文）2025，Vol.12Issue(6)：1265-1283,19.DOI:10.13868/j.cnki.jcr.000823
基于SM2的抗泄露群签名
Leakage-Relisient Group Signature Scheme Based on SM2
摘要
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.Ad-ditionally,by incorporating distributed secret sharing and an additive homomorphic encryption scheme,multi-administrator group signature management is realized,achieving the goal of decentralized admin-istration.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.关键词
SM2算法/交互式证明系统/抗泄露模型/抗泄露群签名Key words
SM2 algorithm/interactive proof system/leakage resilient model/leakage resilient group signature分类
信息技术与安全科学引用本文复制引用
刘隆臻,郑大彬,谭作文,王伟嘉..基于SM2的抗泄露群签名[J].密码学报（中英文）,2025,12(6):1265-1283,19.基金项目
国家重点研发计划(2021YFA1000600) （2021YFA1000600）
国家自然科学基金(62272148,62362036) （62272148,62362036）
江西省自然科学基金重点项目(20232ACB202012)National Key Research and Development Program of China(2021YFA1000600) （20232ACB202012）
National Natural Science Foundations of China(62272148,62362036) （62272148,62362036）
Key Project of Jiangxi Provincial Natural Science Foundation(20232ACB202012) （20232ACB202012）
