Description
Book SynopsisA complete introduction to the many mathematical tools used to solve practical problems in coding.
Mathematicians have been fascinated with the theory of error-correcting codes since the publication of Shannon''s classic papers fifty years ago. With the proliferation of communications systems, computers, and digital audio devices that employ error-correcting codes, the theory has taken on practical importance in the solution of coding problems. This solution process requires the use of a wide variety of mathematical tools and an understanding of how to find mathematical techniques to solve applied problems.
Introduction to the Theory of Error-Correcting Codes, Third Edition demonstrates this process and prepares students to cope with coding problems. Like its predecessor, which was awarded a three-star rating by the Mathematical Association of America, this updated and expanded edition gives readers a firm grasp of the timeless fundamentals of coding as well as the la
Table of ContentsIntroductory Concepts.
Useful Background.
A Double-Error-Correcting BCH Code and a Finite Field of 16 Elements.
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.
