Designs and their Codes - Couverture souple

Assmus, E. F.

 
9780521458399: Designs and their Codes
Couverture souple
ISBN 10 : 0521458390 ISBN 13 : 9780521458399
Editeur : Cambridge University Press, 2008

Synopsis

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. The book is aimed at mathematicians working in either coding theory or combinatorics - or related areas of algebra. The book is, however, 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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. The book is aimed at mathematicians working in either coding theory or combinatorics - or related areas of algebra. The book is, however, 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.

Revue de presse

"...a valuable resource for researchers in either finite geometries or coding theory as well as for algebraists who want to learn about this lively, growing area." Vera Pless, Mathematical Reviews

"...the relationship between the two subjects is very much a two-way channel, and the book is a mine of useful information from whichever direction one approaches it....a useful compilation of material which, together with the extensive bibliography, will prove useful to anyone whose research impinges on these topics." N.L. Biggs

"...speaks to the tremendous influence the plane of order ten has subsequently had on the analysis and classification of designs in a much broader context than projective planes...a welcome addition to a very exciting and relatively new application of an established discipline to combinatorics...a truly fascinating and useful book. It belongs on the shelves of all those who wish to be current on the state of design theory and who are seeking interesting problems in the field to pursue." M.A. Wertheimer, Bulletin of the American Mathematical Society

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2008
Langue
anglais
ISBN 10 
0521458390
ISBN 13 
9780521458399
Reliure
Broché
Nombre de pages
364
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521413619: Designs and their Codes

Edition présentée

ISBN 10 :  0521413613 ISBN 13 :  9780521413619
Editeur : Cambridge University Press, 1992
Couverture rigide