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Designs and their Codes (Cambridge Tracts in Mathematics, Series Number 103) - Hardcover

 
9780521413619: Designs and their Codes (Cambridge Tracts in Mathematics, Series Number 103)

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.

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Book Description

An up-to-date, self-contained account of algebraic coding theory as it is applied to the study of combinatorial designs.

Review

"...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

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  • PublisherCambridge University Press
  • Publication date1992
  • ISBN 10 0521413613
  • ISBN 13 9780521413619
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages364

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9780521458399: Designs and their Codes (Cambridge Tracts in Mathematics, Series Number 103)

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Assmus, E. F., Key, J. D.
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Condition: Very Good. *Price HAS BEEN REDUCED by 10% until Monday, April 14 (weekend SALE item)* 364 pp., Hardcover, 2 small hand stamps to front free endpaper else very good in a fragmentary dust jacket. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1310340

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Hardcover. Condition: Very Good. Dust Jacket Condition: Good. Name and date on front free endpaper, otherwise text clean and solid; wear and sunning to dust jacket; includes errata sheets ; Cambridge Tracts in Mathematics; 9.13 X 6.14 X 1.26 inches; 364 pages. Seller Inventory # 205648

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Algebraic coding has in recent years been increasingly applied to the study of combinatorial designs. Designs and their Codes gives an account of many of these applications together with a thorough general introduction to both design theory and code theory . Seller Inventory # 446934643

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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9780521413619

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