Paper 2009/601 Original: eprint.iacr.org/2009/601 ↗

Parallel Shortest Lattice Vector Enumeration on Graphics Cards

Jens Hermans
Michael Schneider
Johannes Buchmann
Frederik Vercauteren
Bart Preneel
Abstract

In this paper we present an algorithm for parallel exhaustive search for short vectors in lattices. This algorithm can be applied to a wide range of parallel computing systems. To illustrate the algorithm, it was implemented on graphics cards using CUDA, a programming framework for NVIDIA graphics cards. We gain large speedups compared to previous serial CPU implementations. Our implementation is almost 5 times faster in high lattice dimensions. Exhaustive search is one of the main building blocks for lattice basis reduction in cryptanalysis. Our work results in an advance in practical lattice reduction.

Metadata
Available format(s)
PDF
Category
Implementation
Publication info
Preprint.
History
2010-02-26: last updated
2009-12-09: published
Short URL
https://ia.cr/2009/601
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2009/601,
      author = {Jens Hermans and Michael Schneider and Johannes Buchmann and Frederik Vercauteren and Bart Preneel},
      title = {Parallel Shortest Lattice Vector Enumeration on Graphics Cards},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/601},
      year = {2009},
      url = {https://eprint.iacr.org/2009/601}
}
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