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A Small Subgroup Attack for Recovering Ephemeral Keys in Chang and Chang Password Key Exchange Protocol

机译:用于恢复Chang和Chanc密码密钥交换协议中临时键的小亚组攻击

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—Three-party authenticated key exchange protocol is an important cryptographic technique in the secure communication areas. Recently Chang and Chang proposed a novel three party simple key exchange protocol and claimed the protocol is secure, efficient and practical. Unless their claim, a key recovery attack is proposed on the above protocol by recovering the ephemeral keys. One way of recovering the ephemeral key is to solve the mathematical hard Discrete Logarithm Problem (DLP). The DLP is solved by using a popular Pohlig-Hellman method in the above key recovery attack. In the present study, a new method based on the small subgroup attack to solve the DLP is discussed to recover the ephemeral keys. Computation of DLP is carried out by two stages, such as the prior-computation and DLP computation. The prior-computation is performed on offline and the DLP computation is performed on on-line. The method is analyzed on a comprehensive set of experiments and the ephemeral keys are recovered in reduced time. Also, the key recovery attack on Chang and Chang password key exchange protocol is implemented by using the new method to recover the ephemeral key.
机译:- 党派经过身份验证的密钥交换协议是安全通信区域中的重要加密技术。最近张和张提出了一部小说三方简单关键交换协议,并声称该协议是安全,高效实用的。除非它们的索赔,否则通过恢复暂时的键键在上述协议上提出了关键恢复攻击。恢复季节键的一种方法是解决数学硬离散对数问题(DLP)。通过在上述密钥恢复攻击中使用流行的Pohlig-Hellman方法来解决DLP。在本研究中,讨论了一种基于小亚组攻击来解决DLP的新方法以恢复季节键。 DLP的计算由两个阶段执行,例如先前计算和DLP计算。先前计算是在离线执行的,并且在线执行DLP计算。在一套综合实验中分析该方法,并且在缩短时间内恢复了短耳键。此外,通过使用新方法来恢复季节键来实现CHANC和CHANC密码密钥交换协议的关键恢复攻击。

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