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

334 Pages·2011·6.976 MB·English
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by Murray R. Bremner| 2011| 334 pages| 6.976| English

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

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.

Detailed Information

Author:Murray R. Bremner
Publication Year:2011
ISBN:9781439807026
Pages:334
Language:English
File Size:6.976
Format:PDF
Price:FREE
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