Abstract: The analysis of verifiable secret sharing scheme without trusted authority shows it has not the perfect forward-security property. Aiming at this problem, a generating group key scheme with perfect forward-security property is proposed, which is based on the Elliptic Curve Cryptosystem(ECC) and Shamir’s threshold idea. In this scheme, the received messages are verified by participants. It also helps counter the attacks both from active attackers and passive attackers, and the system does not need secure communication, which declines the system cost. Experimental results indicate this scheme has better security and higher computing efficency.

Key words: secret sharing, zero knowledge proof, periodically renewed, forward-security

摘要： 对无可信中心的可认证秘密共享协议进行分析，发现其不具有完全前向安全性，针对该问题，提出一种基于椭圆曲线密码体制与Shamir门限思想的组密钥生成协议，在该协议中成员可以对收到的信息进行验证，有效防止主动与被动攻击，同时系统也无需安全信道，降低系统代价。实验结果表明，该协议具有较高的安全性和计算效率。

关键词: 秘密共享, 零知识证明, 定期更新, 前向安全

CLC Number: 

• TP309.2