Solving the Shortest Lattice Vector Problem in Time 2^2.465n

Xavier Pujol and Damien Stehlé

Abstract: The Shortest lattice Vector Problem is central in lattice-based cryptography, as well as in many areas of computational mathematics and computer science. We present an algorithm for solving it in time 2^2.465n and space 2^1.233n, where n is the lattice dimension. This improves the best previously known algorithm, by Micciancio and Voulgaris [SODA 2010], which runs in time 2^3.199n and space 2^1.325n.