Anonymous Password-Authenticated Key Exchange Protocol Based on Lattice

As the security of password authenticated key exchange protocols based on traditional public key cryptosystems is threatened by quantum computing, the research on password authenticated key exchange protocols that can resist quantum computing attacks has become a hot spot of current research. At present, the anonymity of anonymous PAKE protocol is generally linkable, and cannot completely protect the user’s identity privacy information. This paper proposes a two-party password authenticated key exchange protocol with anonymity based on SPHF from ideal lattice, and gives a strict security proofunder the BPR model. The security and performance analysis proves that the proposed protocol has good advantages in communication costs and security.