Phong Q. Nguyen & Brigitte Vallée 
The LLL Algorithm [PDF ebook] 
Survey and Applications

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Table of Content

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.

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Language English ● Format PDF ● Pages 496 ● ISBN 9783642022951 ● File size 6.4 MB ● Editor Phong Q. Nguyen & Brigitte Vallée ● Publisher Springer Berlin ● City Heidelberg ● Country DE ● Published 2009 ● Downloadable 24 months ● Currency EUR ● ID 2170689 ● Copy protection Social DRM

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