Page 470 - 《软件学报》2025年第8期

唐长虹 等: 加权门限 SM2 签名方案 3893

验证通过 加权门限SM2
区块链模块 签名方案模块

≥T个用户签名
投票结果
请求投票 签名验证

t
T
n
用户

图 1 基于加权门限 SM2 签名的区块链投票系统

7 总 结

本文基于高效的 WRSS 提出了两种能够实现加权功能的门限 SM2 数字签名, 当且仅当所有参与者的权重之
和大于或等于一个固定的阈值时, 该秘密才可以被重构. 在秘密分割时, 对 SM2 数字签名算法的签名私钥进行变
形, 并对公钥做出调整, 使其在签名阶段恢复密钥进行签名得到简化. 本文进一步给出了方案的正确性和安全性分
析, 并与门限 SM2 签名以及联合 SM2 签名的进行计算开销和功能性对比. 结果表明本文方案计算开销最小; 在功
能上提供加权的性质, 使得方案更具健壮性. 并且参与者可以执行离线操作的预签名阶段, 提高了运算效率, 有效
降低了通信开销. 在现实应用中通常需要综合考虑参与者分配权重, 本文探索基于加权门限 SM2 签名的区块链投
票系统, 扩展了国密 SM2 签名的现实应用.

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