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Lattice Basis Reduction: An Introduction to the LLL Algorithm and Its Applications

Name: Lattice Basis Reduction: An Introduction to the LLL Algorithm and Its Applications
ISBN: 9781439807026

Murray R. Bremner

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First developed in the early 1980s by Lenstra, Lenstra, and Lovász, 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.

వర్గాలు:

Mathematics

సంవత్సరం:

2011

ముద్రణం:

ప్రచురణకర్త:

CRC Press

భాష:

english

పేజీల సంఖ్య:

332

ISBN 10: