Lattices and Codes: A Course Partially Based on Lectures by F. Hirzebruch - Brossura

Ebeling, Wolfgang

Brossura

ISBN 10: 3528164972 ISBN 13: 9783528164973

Casa editrice: Friedrick Vieweg & Son, 2002

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 2Ýsuperscript nd¨ edition numerous corrections and improvements have been made. More basic material has been included to make the text even more self-contained. A new section on automorphism groups related to the Leech lattice has been added. Some hints to new results have been incorporated. Finally, several new exercises have been added.

Su questo libro

Informazioni sull?autore

Prof. Dr. Wolfgang Ebeling, Department of Mathematics, Universität Hannover, Germany.

Dalla quarta di copertina

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 2nd edition numerous corrections have been made. More basic material has been included to make the text even more self-contained. A new section on the automorphism group of the Leech lattice has been added. Some hints to new results have been incorporated. Finally, several new exercises have been added.

Dettagli dell'edizione

• Editore: Friedrick Vieweg & Son
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 3528164972
• ISBN 13: 9783528164973
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 206
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile