Advanced Lectures in Mathematics

Lattices and Codes

A Course Partially Based on Lectures by Friedrich Hirzebruch

Authors: Ebeling, Wolfgang

  • Master course on the relationship between coding theory and the 
  • theory of integral lattices
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eBook $44.99
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  • ISBN 978-3-658-00360-9
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Softcover $59.99
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  • ISBN 978-3-658-00359-3
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About this Textbook

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.

About the authors

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

Fields of research: Algebraic Geometry, Differential Topology, Singularities

Reviews

From the reviews of the third edition:

“In the book under review, Ebeling explores the mathematical theory of lattices and the ways that it is used by coding theorists. … I very much enjoyed reading Ebeling’s book. … This book contains some exciting mathematics, and I would recommend it to a graduate student or faculty member looking to learn about the field.” (Darren Glass, MAA Reviews, April, 2013)


Table of contents (5 chapters)

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-658-00360-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-658-00359-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Lattices and Codes
Book Subtitle
A Course Partially Based on Lectures by Friedrich Hirzebruch
Authors
Series Title
Advanced Lectures in Mathematics
Copyright
2013
Publisher
Springer Spektrum
Copyright Holder
Springer Fachmedien Wiesbaden
eBook ISBN
978-3-658-00360-9
DOI
10.1007/978-3-658-00360-9
Softcover ISBN
978-3-658-00359-3
Series ISSN
0932-7134
Edition Number
3
Number of Pages
XVI, 167
Number of Illustrations and Tables
50 b/w illustrations
Topics