skip to main content
10.1145/1992896.1992908acmconferencesArticle/Chapter ViewAbstractPublication PagesuccsConference Proceedingsconference-collections
research-article

A parallel LLL algorithm

Published: 16 May 2011 Publication History

Abstract

The LLL algorithm is a well-known and widely used lattice basis reduction algorithm. In many applications, its speed is critical. Parallel computing can improve speed. However, the original LLL is sequential in nature. In this paper, we present a multi-threading LLL algorithm based on a recently improved version: an LLL algorithm with delayed size reduction.

References

[1]
Blaise Barney. POSIX threads programming. Lawrence Livermore National Laboratory. https://computing.llnl.gov/tutorials/pthreads/
[2]
G. H. Golub and C. F. Van Loan. Matrix Computations, Third Edition. The Johns Hopkins University Press, Baltimore, MD, 1996.
[3]
A. K. Lenstra, H. W. Lenstra, Jr. and L. Lovász. Factorizing polynomials with rational coefficients. Mathematicsche Annalen, 261, 1982, 515--534.
[4]
Franklin T. Luk, Sanzheng Qiao, Wen Zhang. A Lattice Basis Reduction Algorithm. Institute for Computational Mathematics Technical Report 10-04. Hong Kong Baptist University, Kowloon, Hong Kong, China, 2010.
[5]
Franklin T. Luk and Daniel M. Tracy. An improved LLL algorithm. Linear Algebra and its Applications, 428(2-3), 2008, 441--452.
[6]
Bradford Nichols, Dick Buttlar, and Jackie Farrell. Pthreads Programming. O'Reilly & Associates, Inc. 1996.
[7]
Wen Zhang, Yimin Wei, and Sanzheng Qiao. LLL algorithm with delayed size reduction. Manuscript, 2010. Personal Communication.

Cited By

View all
  • (2020)Far-End Crosstalk Mitigation for Future Wireline Networks Beyond G.mgfast: A Survey and an OutlookIEEE Access10.1109/ACCESS.2019.29635718(9998-10039)Online publication date: 2020
  • (2014)High performance lattice reduction on heterogeneous computing platformThe Journal of Supercomputing10.1007/s11227-014-1201-270:2(772-785)Online publication date: 1-Nov-2014
  • (2014)Integer‐ambiguity resolution in astronomy and geodesyAstronomische Nachrichten10.1002/asna.201211947335:2(198-209)Online publication date: 31-Jan-2014
  • Show More Cited By

Recommendations

Comments

Information & Contributors

Information

Published In

cover image ACM Conferences
C3S2E '11: Proceedings of The Fourth International C* Conference on Computer Science and Software Engineering
May 2011
162 pages
ISBN:9781450306263
DOI:10.1145/1992896
  • General Chair:
  • Bipin C. Desai,
  • Program Chairs:
  • Alain Abran,
  • Sudhir P. Mudur
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Sponsors

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 16 May 2011

Permissions

Request permissions for this article.

Check for updates

Author Tags

  1. LLL algorithm
  2. algorithms
  3. lattice basis reduction
  4. multi-threading
  5. parallel computing

Qualifiers

  • Research-article

Conference

C3S2E '11
Sponsor:
  • ACM
  • Concordia University

Acceptance Rates

Overall Acceptance Rate 12 of 42 submissions, 29%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)10
  • Downloads (Last 6 weeks)0
Reflects downloads up to 13 Jan 2025

Other Metrics

Citations

Cited By

View all
  • (2020)Far-End Crosstalk Mitigation for Future Wireline Networks Beyond G.mgfast: A Survey and an OutlookIEEE Access10.1109/ACCESS.2019.29635718(9998-10039)Online publication date: 2020
  • (2014)High performance lattice reduction on heterogeneous computing platformThe Journal of Supercomputing10.1007/s11227-014-1201-270:2(772-785)Online publication date: 1-Nov-2014
  • (2014)Integer‐ambiguity resolution in astronomy and geodesyAstronomische Nachrichten10.1002/asna.201211947335:2(198-209)Online publication date: 31-Jan-2014
  • (2012)On the theoretical link between LLL-reduction and Lambda-decorrelationJournal of Geodesy10.1007/s00190-012-0601-487:4(323-335)Online publication date: 11-Dec-2012

View Options

Login options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media