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Lattices and Codes [[electronic resource] ] : A Course Partially Based on Lectures by Friedrich Hirzebruch / / by Wolfgang Ebeling



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Autore: Ebeling Wolfgang Visualizza persona
Titolo: Lattices and Codes [[electronic resource] ] : A Course Partially Based on Lectures by Friedrich Hirzebruch / / by Wolfgang Ebeling Visualizza cluster
Pubblicazione: Wiesbaden : , : Springer Fachmedien Wiesbaden : , : Imprint : Springer Spektrum, , 2013
Edizione: 3rd ed. 2013.
Descrizione fisica: 1 online resource (176 p.)
Disciplina: 510
Soggetto topico: Mathematics
Algebra
Mathematics, general
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references (p. 159-162) and index.
Nota di contenuto: Lattices and Codes -- Theta Functions and Weight Enumerators -- Even Unimodular Lattices -- The Leech Lattice -- Lattices over Integers of Number Fields and Self-Dual Codes.
Sommario/riassunto: The purpose of coding theory is the design of efficient systems for  the transmission of information. The mathematical treatment leads to  certain finite structures: the error-correcting codes. Surprisingly  problems which are interesting for the design of codes turn out to be  closely related to problems studied partly earlier and independently  in pure mathematics. In this book, examples of such connections are  presented. The relation between lattices studied in number theory and  geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory. In the 3rd edition, again numerous corrections and improvements have been made and the text has been updated. Content Lattices and Codes -Theta Functions and Weight Enumerators - Even Unimodular Lattices - The Leech Lattice - Lattices over Integers of Number Fields and Self-Dual Codes. Readership Graduate Students in Mathematics and Computer Science Mathematicians and Computer Scientists About the Author Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany.
Titolo autorizzato: Lattices and codes  Visualizza cluster
ISBN: 3-658-00360-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910438148603321
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Serie: Advanced Lectures in Mathematics, . 0932-7134