中文摘要：

为了抵抗主动攻击,2010年陈家琪等人提出了一个可认证的无证书三方密钥协商协议,但该密钥协议不能抵抗被动敌手的攻击,也不能满足他文章中所陈述的一些安全属性。为了解决上述问题,在He De-biao等人的无证书两方密钥协商协议基础上,提出了一个新的无证书可认证三方密钥协商协议。对新协议进行了安全性分析和效率分析,结果表明,新协议满足无证书可认证三方密钥协商协议的安全要求。与陈家琪的协议相比,新协议中的双线性对的个数减少了,因而新协议的计算效率更高。

英文摘要：

In order to resist against the active attacks,Chen Jia-qi proposed an authenticated tripartite key agreement protocol based on certificateless cryptography in 2010. However,the protocol couldn＇t resist the passive opponent＇s attack,and it also couldn＇t meet some security attributes stated by Chen Jia-qi. In order to solve the above problems,based on an efficient certificateless two-party authenticated key agreement protocol given by He De-biao,this paper proposed a new certificateless authenticated tripartite key agreement protocol. The security and efficiency of the new protocol were analyzed. The result shows that the new protocol satisfies the security properties of the certificateless authenticated tripartite key agreement protocol. Compared with the protocol proposed by Chen Jia-qi,the efficiency of the new protocol is higher,which attributes to the reduced number of pairings in the new protocol.