Fundamentals of Error-Correcting Codes

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Cambridge University Press, Jun 26, 2003 - Computers - 646 pages
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Fundamentals of Error Correcting Codes is an in-depth introduction to coding theory from both an engineering and mathematical viewpoint. As well as covering classical topics, much coverage is included of recent techniques which until now could only be found in specialist journals and book publications. Numerous exercises and examples and an accessible writing style make this a lucid and effective introduction to coding theory for advanced undergraduate and graduate students, researchers and engineers, whether approaching the subject from a mathematical, engineering or computer science background.
 

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Contents

Basic concepts of linear codes
1
Bounds On the Size of COdes
53
Finite fields
100
Cyclic codes
121
BCH and ReedSolomon COdes
168
Duadic Codes
209
Weight distributions
252
Designs
291
Some favorite Selfdual COdes
397
Covering radius and cosets
432
Codes over Z4
467
Codes from algebraic geometry
517
Convolutional COdes
546
Soft decision and iterative decoding
573
References 615
596
Copyright

Selfdual Codes
338

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About the author (2003)

Professor W. Cary Huffman graduated with a PhD in mathematics from the California Institute of Technology in 1974. He taught at Dartmouth College and Union College until he joined the Department of Mathematics and Statistics at Loyola in 1978, serving as chair of the department from 1986 through 1992. He is an author of approximately 40 research papers in finite group theory, combinatorics, and coding theory that have appeared in journals such as the Journal of Algebra, IEEE Transactions on Information Theory, and the Journal of Combinatorial Theory.

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.