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Lattice Basis Reduction

An Introduction to the LLL Algorithm and Its Applications

Language EnglishEnglish
E-book Adobe ePub DRM
Publishers CRC Press, August 2011
First developed in the early 1980s by Lenstra, Lenstra, and Lovasz, the LLL algorithm was originally... Full description
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First developed in the early 1980s by Lenstra, Lenstra, and Lovasz, the LLL algorithm was originally used to provide a polynomial-time algorithm for factoring polynomials with rational coefficients. It very quickly became an essential tool in integer linear programming problems and was later adapted for use in cryptanalysis. This book provides an introduction to the theory and applications of lattice basis reduction and the LLL algorithm. With numerous examples and suggested exercises, the text discusses various applications of lattice basis reduction to cryptography, number theory, polynomial factorization, and matrix canonical forms.

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About the book

Full name Lattice Basis Reduction
Author Murray R. Bremner
Language English
Binding E-book - Adobe ePub DRM
Date of issue 2011
EAN 9781040063828
Libristo code 52560302
Publishers CRC Press
Series Chapman & Hall Pure and Applied Mathematics

Categories

Mathematics & Science > Mathematics > Mathematical foundations > Mathematical logic
Reference, Information & Interdisciplinary subjects > Research & information: general > Coding theory & cryptology
Mathematics & Science > Mathematics > Number theory
Computing & Information Technology > Computer programming / software engineering > Algorithms & data structures
Computing & Information Technology > Computer security
Computing & Information Technology > Computer science
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