Pless Introduction to the Theory of Error-Correcting Codes

3. Auflage 2011
ISBN: 978-1-118-03099-8
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 224 Seiten, E-Book

Reihe: Wiley-Interscience Series in Discrete Mathematics and Optimization

A complete introduction to the many mathematical tools used tosolve practical problems in coding.
Mathematicians have been fascinated with the theory oferror-correcting codes since the publication of Shannon's classicpapers fifty years ago. With the proliferation of communicationssystems, computers, and digital audio devices that employerror-correcting codes, the theory has taken on practicalimportance in the solution of coding problems. This solutionprocess requires the use of a wide variety of mathematical toolsand an understanding of how to find mathematical techniques tosolve applied problems.
Introduction to the Theory of Error-Correcting Codes, Third Editiondemonstrates this process and prepares students to cope with codingproblems. Like its predecessor, which was awarded a three-starrating by the Mathematical Association of America, this updated andexpanded edition gives readers a firm grasp of the timelessfundamentals of coding as well as the latest theoretical advances.This new edition features:
* A greater emphasis on nonlinear binary codes
* An exciting new discussion on the relationship between codes andcombinatorial games
* Updated and expanded sections on the Vashamov-Gilbert bound, vanLint-Wilson bound, BCH codes, and Reed-Muller codes
* Expanded and updated problem sets.
Introduction to the Theory of Error-Correcting Codes, Third Editionis the ideal textbook for senior-undergraduate and first-yeargraduate courses on error-correcting codes in mathematics, computerscience, and electrical engineering.

Autoren/Hrsg.

Pless, Vera

Inhaltsverzeichnis

Introductory Concepts.
Useful Background.
A Double-Error-Correcting BCH Code and a Finite Field of 16Elements.
Finite Fields.
Cyclic Codes.
Group of a Code and Quadratic Residue (QR) Codes.
Bose-Chaudhuri-Hocquenghem (BCH) Codes.
Weight Distributions.
Designs and Games.
Some Codes Are Unique.
Appendix.
References.
Index.

Über Autor(innen)

VERA PLESS is Professor of Mathematics and Computer Science and a University Scholar at the University of Illinois at Chicago. Professor Pless holds a PhD in mathematics from Northwestern University.