基于中国剩余定理的前向安全群签名方案

在群签名方案中，群中的任意一个合法群成员都可以代替整个群组对某个消息进行签名，验证者只能验证签名者属于该群组中的一员，但不能得知签名者的具体身份。提出一个基于中国剩余定理的前向安全群签名方案。该方案可以动态地增加和删除群用户成员而无须频繁更改群公钥，并在验证签名和打开签名时只需要进行模运算即可实现，同时针对密钥泄露问题实现了前向安全性。最后对方案进行了安全性分析和效率分析，结果表明该方案具有匿名性、可撤销性、防伪造性和追踪性。

Forward secure group signature scheme based on Chinese remainder theorem

In the group signature, a member can sign the message instead of the group. The verifier can verify the group signature, meanwhile it will not know the identity of the signer. This paper proposed a forward security group signature scheme based on the Chinese remainder theorem. The proposed scheme would dynamically add and delete the group members without modifying the group public key. The scheme had forward security probability, because the attackers couldn''t achieve the keys in other periods even if they corrupted the keys in a certain period. Meanwhile, the proposed scheme achieves these security properties, including anonymity, revocability, anti-forgery, and traceability.