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Lattices and Codes
A Course Partially Based on Lectures by Friedrich Hirzebruch
Taschenbuch von Wolfgang Ebeling
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany

Fields of research: Algebraic Geometry, Differential Topology, Singularities

Zusammenfassung
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.
Inhaltsverzeichnis
Lattices and Codes.- Theta Functions and Weight Enumerators.- Even Unimodular Lattices.- The Leech Lattice.- Lattices over Integers of Number Fields and Self-Dual Codes.
Details
Erscheinungsjahr: 2012
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Advanced Lectures in Mathematics
Inhalt: xvi
167 S.
50 s/w Illustr.
167 p. 50 illus.
ISBN-13: 9783658003593
ISBN-10: 3658003596
Sprache: Englisch
Herstellernummer: 86156071
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ebeling, Wolfgang
Auflage: 3rd ed. 2013
Hersteller: Springer Fachmedien Wiesbaden
Springer Fachmedien Wiesbaden GmbH
Advanced Lectures in Mathematics
Maße: 240 x 168 x 11 mm
Von/Mit: Wolfgang Ebeling
Erscheinungsdatum: 19.09.2012
Gewicht: 0,32 kg
Artikel-ID: 106325393
Über den Autor

Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany

Fields of research: Algebraic Geometry, Differential Topology, Singularities

Zusammenfassung
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.
Inhaltsverzeichnis
Lattices and Codes.- Theta Functions and Weight Enumerators.- Even Unimodular Lattices.- The Leech Lattice.- Lattices over Integers of Number Fields and Self-Dual Codes.
Details
Erscheinungsjahr: 2012
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Advanced Lectures in Mathematics
Inhalt: xvi
167 S.
50 s/w Illustr.
167 p. 50 illus.
ISBN-13: 9783658003593
ISBN-10: 3658003596
Sprache: Englisch
Herstellernummer: 86156071
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ebeling, Wolfgang
Auflage: 3rd ed. 2013
Hersteller: Springer Fachmedien Wiesbaden
Springer Fachmedien Wiesbaden GmbH
Advanced Lectures in Mathematics
Maße: 240 x 168 x 11 mm
Von/Mit: Wolfgang Ebeling
Erscheinungsdatum: 19.09.2012
Gewicht: 0,32 kg
Artikel-ID: 106325393
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