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中文摘要：
提出了一种无证书的层次认证密钥协商协议,协议的安全性基于计算性Diffie-Hellman困难假设,并在eCK（extended Canetti–Krawczyk）模型下证明了该协议的安全性。该协议中,根PKG为多层的域PKG验证身份并生成部分私钥,域PKG为用户验证身份并生成部分私钥,私钥则由用户选定的秘密值和部分私钥共同生成。与已有协议相比,协议不含双线性映射配对运算,且具有较高的效率。
英文摘要：
A hierarchical certificateless authenticated key agreement protocol was proposed, and the proposed protocol was proved secure in extended Canetti-Krawczyk（eCK） model, the security of the protocol was based on the computational Diffie-Hellman assumption. In the protocol, a root PKG authenticates the identity and generates a partial private key for lower-level PKG which authenticate the identity and generate a partial private key for users, private key generated by partial private key and user selected secret value. Comparing with the existing protocols, the protocol is efficient without bilinear pairings computation.
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