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Item Details
| Title:
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THE LLL ALGORITHM
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| By: |
Phong Q. Nguyen (Editor), Brigitte Vallee (Editor) |
| Format: |
Hardback |
| List price:
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£149.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3642022944 |
| ISBN 13: |
9783642022944 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
25 November, 2009 |
| Series: |
Information Security and Cryptography |
| Pages: |
496 |
| Description: |
The first book to offer a comprehensive view of the LLL algorithm, this text surveys computational aspects of Euclidean lattices and their main applications. It includes many detailed motivations, explanations and examples. |
| Synopsis: |
Computational aspects of geometry of numbers have been revolutionized by the Lenstra-Lenstra-Lovasz ' lattice reduction algorithm (LLL), which has led to bre- throughs in elds as diverse as computer algebra, cryptology, and algorithmic number theory. After its publication in 1982, LLL was immediately recognized as one of the most important algorithmic achievements of the twentieth century, because of its broad applicability and apparent simplicity. Its popularity has kept growing since, as testi ed by the hundreds of citations of the original article, and the ever more frequent use of LLL as a synonym to lattice reduction. As an unfortunate consequence of the pervasiveness of the LLL algorithm, researchers studying and applying it belong to diverse scienti c communities, and seldom meet. While discussing that particular issue with Damien Stehle ' at the 7th Algorithmic Number Theory Symposium (ANTS VII) held in Berlin in July 2006, John Cremona accuratelyremarkedthat 2007would be the 25th anniversaryof LLL and this deserveda meetingto celebrate that event. The year 2007was also involved in another arithmetical story.In 2003 and 2005, Ali Akhavi, Fabien Laguillaumie, and Brigitte Vallee ' with other colleagues organized two workshops on cryptology and algorithms with a strong emphasis on lattice reduction: CAEN '03 and CAEN '05, CAEN denoting both the location and the content (Cryptologie et Algori- miqueEn Normandie). Veryquicklyafterthe ANTSconference,AliAkhavi,Fabien Laguillaumie, and Brigitte Vallee ' were thus readily contacted and reacted very enthusiastically about organizing the LLL birthday conference. The organization committee was formed. |
| Illustrations: |
42 black & white illustrations, biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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