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

Xavier Pujol; Damien Stehle

Paper 2009/605

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

Xavier Pujol and Damien Stehle

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.

Metadata

Available format(s): PDF
Publication info: Published elsewhere. Unknown where it was published
Contact author(s): xavier pujol @ ens-lyon fr
History: 2010-02-08: last of 2 revisions; 2009-12-09: received; See all versions
Short URL: https://ia.cr/2009/605
License: CC BY

BibTeX

@misc{cryptoeprint:2009/605,
      author = {Xavier Pujol and Damien Stehle},
      title = {Solving the Shortest Lattice Vector Problem in Time 2^2.465n},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/605},
      year = {2009},
      url = {https://eprint.iacr.org/2009/605}
}