Designs and Their Codes (Paperback) (ISBN-13: 9780521458399)

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 thorough general introduction to both design theory and coding theory developing the relationship between the two areas. The first half of the book contains background material in design theory, including symmetric designs and designs from affine and projective geometry, and in coding theory, 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.

Author: E. F. Assmus, J. D. Key
ISBN-10: 0521458390
ISBN-13: 9780521458399
Publisher: Cambridge University Press
Language: English
Published: 01/06/1994
Pages: 364
Format: Paperback
Weight: 1.14lbs
Size: 8.94h x 6.00w x 0.81d