Electronic Proceedings of the Eighteenth Annual International Conference on Technology in Collegiate Mathematics

Orlando, Florida, March 16-19, 2006

Paper S054

This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Eighteenth Annual International Conference on Technology in Collegiate Mathematics, Edited by Joanne Foster, ISBN 0-321-49160-2, Copyright (C) 2007 by Pearson Education, Inc.


Elementary Coding Theory Including Hamming and Reed-Solomon Codes with Maple and Matlab

Richard Klima


Department of Mathematical Sciences
Appalachian State University
Boone, NC 28608
USA


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Neil Sigmon


Department of Mathematics
Radford University
Radford, VA 24142
USA


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ABSTRACT

This session will include descriptions and demonstrations of codeword construction and bit error correction in codes including Hadamard, Reed-Muller (as used in the Mariner space probes), Hamming, BCH, and Reed-Solomon (as used in the Voyager satellites and on CDs and DVDs).

Keyword(s): applications, discrete mathematics, Maple, Matlab