The LLL Algorithm: Survey and Applications - Couverture souple
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Synopsis
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
The LLL algorithm is a polynomial-time lattice reduction algorithm, named after its inventors, Arjen Lenstra, Hendrik Lenstra and László Lovász. The algorithm has revolutionized computational aspects of the geometry of numbers since its introduction in 1982, leading to breakthroughs in fields as diverse as computer algebra, cryptology and algorithmic number theory. This book consists of 15 survey chapters on computational aspects of Euclidean lattices and their main applications. Topics covered include polynomial factorization, lattice reduction algorithms, applications in number theory, integer programming, provable security, lattice-based cryptography and complexity. The authors include many detailed motivations, explanations and examples, and the contributions are largely self-contained. The book will be of value to a wide range of researchers and graduate students working in related fields of theoretical computer science and mathematics.
Présentation de l'éditeur
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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The LLL Algorithm: Survey and Applications (Information Security and Cryptography)
Edité par
Springer, 2012
ISBN 10 : 3642261647
ISBN 13 : 9783642261640
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Couverture souple
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Etat : good. The item shows wear from consistent use, but it remains in good condition and works perfectly. All pages and cover are intact including the dust cover, if applicable . Spine may show signs of wear. Pages may include limited notes and highlighting. May NOT include discs, access code or other supplemental materials. N° de réf. du vendeur BVV.3642261647.G
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The LLL Algorithm (eng)
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The LLL Algorithm
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Springer Berlin Heidelberg, 2012
ISBN 10 : 3642261647
ISBN 13 : 9783642261640
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Couverture souple
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The first book to offer a comprehensive view of the LLL algorithm.The History of the LLL-Algorithm.- Hermite#x2019s Constant and Lattice Algorithms.- Probabilistic Analyses of Lattice Reduction Algorithms.- Progress on LLL and Lattice Reduct. N° de réf. du vendeur 5054236
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The LLL Algorithm: Survey and Applications (Information Security and Cryptography)
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The LLL Algorithm
Edité par
Springer Berlin Heidelberg Mrz 2012, 2012
ISBN 10 : 3642261647
ISBN 13 : 9783642261640
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 512 pp. Englisch. N° de réf. du vendeur 9783642261640
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The LLL Algorithm | Survey and Applications
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Taschenbuch. Etat : Neu. The LLL Algorithm | Survey and Applications | Phong Q. Nguyen (u. a.) | Taschenbuch | xiv | Englisch | 2012 | Springer | EAN 9783642261640 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 106590971
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The LLL Algorithm
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Springer, Springer Spektrum Mär 2012, 2012
ISBN 10 : 3642261647
ISBN 13 : 9783642261640
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -The History of the LLL-Algorithm.- Hermite#x2019;s Constant and Lattice Algorithms.- Probabilistic Analyses of Lattice Reduction Algorithms.- Progress on LLL and Lattice Reduction.- Floating-Point LLL: Theoretical and Practical Aspects.- LLL: A Tool for Effective Diophantine Approximation.- Selected Applications of LLL in Number Theory.- The van Hoeij Algorithm for Factoring Polynomials.- The LLL Algorithm and Integer Programming.- Using LLL-Reduction for Solving RSA and Factorization Problems.- Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSign.- The Geometry of Provable Security: Some Proofs of Security in Which Lattices Make a Surprise Appearance.- Cryptographic Functions from Worst-Case Complexity Assumptions.- Inapproximability Results for Computational Problems on Lattices.- On the Complexity of Lattice Problems with Polynomial Approximation Factors.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 512 pp. Englisch. N° de réf. du vendeur 9783642261640
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The LLL Algorithm : Survey and Applications
Edité par
Springer Berlin Heidelberg, 2012
ISBN 10 : 3642261647
ISBN 13 : 9783642261640
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783642261640
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