Lattice-Based Cryptography:A Survey

Most of current public key cryptosystems would be vulnerable to the attacks of the future quantum computers.Post-quantum cryptography offers mathematical methods to secure information and communications against such attacks,and therefore has been receiving a significant amount of attention in recent years.Lattice-based cryptography,built on the mathematical hard problems in(high-dimensional)lattice theory,is a promising post-quantum cryptography family due to its excellent efficiency,moderate size and strong security.This survey aims to give a general overview on lattice-based cryptography.To this end,the authors begin with the introduction of the underlying mathematical lattice problems.Then they introduce the fundamental cryptanalytic algorithms and the design theory of lattice-based cryptography.