About this book
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.
Lattices and Codes -Theta Functions and Weight Enumerators - Even Unimodular Lattices - The Leech Lattice - Lattices over Integers of Number Fields and Self-Dual Codes.
Graduate Students in Mathematics and Computer Science
Mathematicians and Computer Scientists
About the Author
Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany
- DOI https://doi.org/10.1007/978-3-658-00360-9
- Copyright Information Springer Fachmedien Wiesbaden 2013
- Publisher Name Springer Spektrum, Wiesbaden
- eBook Packages Mathematics and Statistics
- Print ISBN 978-3-658-00359-3
- Online ISBN 978-3-658-00360-9
- Series Print ISSN 0932-7134
- Buy this book on publisher's site