Lattices and codes : a course partially based on lectures by Friedrich Hirzebruch

Author(s)

• Ebeling, Wolfgang

Bibliographic Information

Lattices and codes : a course partially based on lectures by Friedrich Hirzebruch

Wolfgang Ebeling

（Advanced lectures in mathematics）

Springer Spektrum, c2013

3rd ed

Note

Includes bibliographical references (p. 159-162) and index

Description and Table of Contents

Description

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.

Table of Contents

Lattices and Codes.- Theta Functions and Weight Enumerators.- Even Unimodular Lattices.- The Leech Lattice.- Lattices over Integers of Number Fields and Self-Dual Codes.

by "Nielsen BookData"

Details

• NCID: BB10565607
• ISBN:
  • 9783658003593
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Wiesbaden
• Pages/Volumes: xvi, 167 p.
• Size: 24 cm
• Classification:
  • SG : 510
• Parent Bibliography ID:
  • BA00424077