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
Creative Commons Attribution
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},
      note = {\url{https://eprint.iacr.org/2009/605}},
      url = {https://eprint.iacr.org/2009/605}
}
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