Advanced Lectures in Mathematics
Lattices and Codes
A Course Partially Based on Lectures by Friedrich Hirzebruch
Wolfgang Ebeling
Mathematics / General
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.
Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany
Fields of research: Algebraic Geometry, Differential Topology, Singularities
| Publication Date: |
19 September 2012 |
| Publisher: |
Springer Fachmedien Wiesbaden |
| Imprint: |
Springer Spektrum |
| ISBN-13: |
9783658003593 |
| Format: |
Paperback / softback |
| Page Count: |
167 |