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

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Inhaltsverzeichnis

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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Sprache Englisch ● Format PDF ● Seiten 496 ● ISBN 9783642022951 ● Dateigröße 6.4 MB ● Herausgeber Phong Q. Nguyen & Brigitte Vallée ● Verlag Springer Berlin ● Ort Heidelberg ● Land DE ● Erscheinungsjahr 2009 ● herunterladbar 24 Monate ● Währung EUR ● ID 2170689 ● Kopierschutz Soziales DRM

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