Improving Security of A Communication-efficient Three-party Password Authentication Key Exchange Protocol

[[abstract]]Three-party Password-based Authentication Key Exchange (3PAKE) allows a trusted server to assist two users to establish a common session key. Recently, Wu et al. pointed out that Chang et al.'s 3PAKE was vulnerable to the off-line guessing attack and proposed an improved 3PAKE to fix the problem. However, we found that Wu et al.'s protocol is still subject to the off-line guessing attack. In addition, the paper offers a simple method to detect the attack