基于Weil配对的口令认证组密钥交换协议

Password authenticated group key exchange protocol based on Weil pairing

针对以往组密钥交换协议中存在的计算效率和安全性方面的问题,提出一种基于Weil配对的口令认证组密钥交换协议.将三叉逻辑密钥树结构与Weil配对相结合,使用简单的点乘运算和双线性配对运算来替代复杂的求幂运算,经过3轮通信来完成组密钥的建立和认证过程,实现安全的密钥交换.实验结果表明,该算法降低了逻辑密钥树的高度和复杂性,进一步提高了计算效率.在安全性方面,能够抵抗在线和离线字典攻击等一系列干扰,具有向前安全性.

Aiming at such problems as computing efficiency and security in previous group key exchange protocols, a Weil pairing-based password authenticated group key exchange protocol was presented. The ternary logic key tree was combined with Weil pairing, and the complicated exponentiation was replaced by simple point multiplication and bilinear paring operations. The construction and authentication of group key were finished after three turns of communication. The experiment results show that the algorithm reduces the height and the complexity of logic key tree and enhances the computation efficiency. In the security aspect, the protocol can resist on-line and off-line dictionary attacks, and has the forward security.