中文摘要：

针对椭圆曲线中双线性对运算计算开销较大和PK I中证书管理的问题,利用基于身份的公钥密码算法和椭 圆曲线加法群上的G D H困难问题,设计了一种高效安全的认证密钥协商协议,并在随机预言机模型下证明了协议 的安全性.分析表明,该协议满足已知会话密钥安全性、完美前向安全性、抗临时密钥泄露攻击和抗会话密钥托管 等安全属性,且能够在仅5 次标量乘法运算后完成参与方之间的相互认证和会话密钥协商,具有较小的计算开销.

英文摘要：

For the bad computation overhead of bilinear pairings in elliptic curve and the problems of certificate man-agement in the PKI, an efficient and secure authentication key agreement protocol was proposed based on the identi-ty-based cryptosystem and GDH difficult problem on the additive group of elliptic curve. Meanwhile, the security of the new protocol was proved under the random oracle model. The analysis shows that the new protocol meets security prop-erties such as known session key security, perfect forward security, ephemeral secret leakage resistance and the session key escrow resistance. The proposed protocol has the good computational overhead for it was able to complete the mutual authentication and session key agreement between parties under only 5 times scalar multiplication.