Overview of Lattice-Based Methods in Cryptanalysis

In this paper, we give a short introduction to the hard lattice problems and application of corresponding methods in cryptanalysis. We provide several examples of specialized lattices we may use to solve certain instances of the related tasks, such as the Knapsack Problem or the Learning with Errors Problem. In this study, we pay special attention to using lattice-based cryptanalysis with asymmetric Knapsack-based cipher systems.