Lattices and codes. A course partially based on lectures by F. Hirzebruch.

Ebeling, Wolfgang

ISBN 10: 3528164972 / ISBN 13: 9783528164973

Editore: Braunschweig, Vieweg, 2002

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Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02921 9783528164973 Sprache: Englisch Gewicht in Gramm: 550.

Codice articolo 2488811

Dati bibliografici

• Titolo: Lattices and codes. A course partially based on lectures by F. Hirzebruch.
• Editore: Braunschweig, Vieweg
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 3528164972
• ISBN 13: 9783528164973
• Rilegatura: Softcover
• Edizione: 2nd revised edition.
• Cataloghi dei venditori:
  • SA MATHEMATIK

Descrizione articolo

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.

Informazioni sull?autore

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