Research on password-authenticated key exchange protocol over lattices

With the rapid development of quantum computing technology, password-authenticated key exchange (PAKE) protocol based on conventional difficult problems will face serious security threats in the post-quantum era.Lattice-based cryptosystem has been certified by NIST as the most promising cryptosystem in the post-quantum era due to its high efficiency, high security and support for stronger cryptographic service functions (such as fully homomorphic encryption and multi-linear mapping).Firstly, the research progress of lattice-based PAKE protocol was systematically sort out, mainly including the centralized two-party, three-party PAKE protocol and the distributed PAKE protocol over lattices.Then, the relevant typical schemes were compared and analyzed, respectively.Finally, the future research directions PAKE protocol over lattices were prospected.