Authenticating Tripartite Key Agreement Protocol with Pairings

In this paper, an authenticated tripartite key agreement protocol is proposed, which is an ID-based one with pairings. This protocol involves only one round. The authenticity of the protocol is assured by a special signature scheme, so that messages carrying the information of two ephemeral keys can be broadcasted authentically by an entity. Consequently, one instance of the protocol results in eight session keys for three entities. In other word, one instance of the protocol generates a session key, which is eight times longer than those obtained from traditional key agreement protocols. Security attributes of the protocol are presented, and the computational overhead and bandwidth of the broadcast messages are analyzed as well.

利用配对实现的基于身份的单轮认证三方密钥协商协议

利用双线性配对，基于域GF(q)上的奇异椭圆曲线上某个加法群上的任意点都可以映射为扩域GF(qk)上的一个乘法群中的一个元素，因此椭圆曲线上的离散对数也就转变成了相应乘法群上的离散对数问题，这就是著名的MOV攻击和FR攻击的思想。