ENGLISH

Lattice Basis Reduction: An Introduction to the LLL Algorithm and Its Applications (Chapman & Hall Pure and Applied Mathematics)

By Murray R. Bremner

Book information

Publisher
CRC Press
Year
2011
ISBN
1439807027, 9781439807026
LCC
QA171.5 .B74 2012
Open Library ID
OL25025282M
Language
english
Format
PDF
Filesize
7 MB (7314578 bytes)
Edition
1
Pages
334\334
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00

Description

First developed in the early 1980s by Lenstra, Lenstra, and Lov?sz, 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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