From the rear cover
Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications, together with a fairly thorough general introduction to both design theory and coding theory, developing the relationship between the two areas. The first half of the book contains general background material in design theory, including symmetric designs and designs from affine and projective geometries, and in coding theory, including coverage of most of the important classes of linear codes. In particular the authors provide a new treatment of the Reed-Muller and generalized Reed-Muller codes. The last three chapters treat the applications of coding theory to some important classes of designs, namely finite planes, Hadamard designs and Steiner systems, in particular the Witt systems. The book is aimed at mathematicians working in either coding theory or combinatorics - or related areas of algebra. The book is, however, also designed to be used by non-specialists and can be used by those graduate students or computer scientists who may be working in these areas.
Details
- Title Designs and Their Codes
- Author E. F. Assmus; J. D. Key
- Binding Hardcover
- Edition First Edition
- Pages 364
- Volumes 1
- Language ENG
- Publisher Cambridge University Press, Cambridge
- Date 1992-08-28
- Features Bibliography
- ISBN 9780521413619 / 0521413613
- Weight 1.46 lbs (0.66 kg)
- Dimensions 9.29 x 6.28 x 1 in (23.60 x 15.95 x 2.54 cm)
- Library of Congress subjects Coding theory, Combinatorial designs and configurations
- Library of Congress Catalog Number 92250014
- Dewey Decimal Code 511.6
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Designs and their Codes (Cambridge Tracts in Mathematics, Series Number 103)
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Designs and Their Codes
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