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

Ebeling, Wolfgang

 
9783528164973: Lattices and Codes: A Course Partially Based on Lectures by F. Hirzebruch
Brossura
ISBN 10: 3528164972 ISBN 13: 9783528164973
Casa editrice: Friedrick Vieweg & Son, 2002

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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