Lattices and Codes: A Course Partially Based on Lectures by Friedrich Hirzebruch (Advanced Lectures in Mathematics) - Softcover

Ebeling, Wolfgang

 
9783658003593: Lattices and Codes: A Course Partially Based on Lectures by Friedrich Hirzebruch (Advanced Lectures in Mathematics)
Softcover
ISBN 10: 3658003596 ISBN 13: 9783658003593
Publisher: Springer Spektrum, 2012

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

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

Fields of research: Algebraic Geometry, Differential Topology, Singularities

From the Back Cover

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.

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

Readership
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


"About this title" may belong to another edition of this title.

Publisher
Springer Spektrum
Publication date
2012
Language
English
ISBN 10 
3658003596
ISBN 13 
9783658003593
Binding
Paperback
Edition number
3
Number of pages
183