Through security analysis on an existing key exchange protocol for three-parties, we point out its pitfalls, and put forward based -on this a key exchange protocol for three-parties with perfect two-way authentication mechanism. The protocol is based on the intractability of computational Diffie-Hellman problem, it can make both parties in communication produce session key in just three rounds, and has higher computational efficiency compared with most existing protocols. The protocol is proved to be safe by the security analysis.%通过对现有的一个三方密钥交换协议进行安全性分析,指出其存在的安全隐患,并以此为基础提出一个具有完善双向认证机制的三方密钥交换协议.该协议基于计算性Diffie-Hellman问题的难解性,只需三轮就能使通信双方协商好会话密钥,与现有的大多数协议相比具有较高的计算效率,并通过安全性分析证明它是安全的.
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