Lattice basis reduction an introduction to the LLL algorithm and its applications

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 adapte...

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Detalles Bibliográficos
Autor principal: Bremner, Murray R. (-)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Boca Raton, FL : CRC Press c2012.
Edición:1st edition
Colección:Pure and applied mathematics.
Monographs and textbooks in pure and applied mathematics.
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009628289406719
Descripción
Sumario: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
Notas:A Chapman & Hall book.
Descripción Física:1 online resource (330 p.)
Bibliografía:Includes bibliographical references and index.
ISBN:9780429130458
9781283311502
9786613311504
9781439807040