Track My Order
Help Centre
1300 187 187
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Add free shipping to your order with these great books
Designs and their Codes : Cambridge Tracts in Mathematics - E. F. Assmus

Designs and their Codes

By: E. F. Assmus, J. D. Key

Paperback | 7 March 1994

At a Glance

Paperback

RRP $146.95

$142.75

or 4 interest-free payments of $35.69 with

 or 

Aims to ship in 7 to 10 business days

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.
Industry Reviews
"...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

You Can Find This Book In

Non-FictionMathematicsCombinatorics & Graph TheoryAlgebraProbability & StatisticsComputing & I.T.Computer ScienceMathematical Theory of Computation

More in Algebra

The Maths Book : Big Ideas Simply Explained - DK

The Maths Book

Big Ideas Simply Explained

Hardcover

RRP $42.99

$32.50

24%
OFF
Essential Calculus : 2nd Edition - James Stewart

Essential Calculus

2nd Edition

Hardcover

RRP $207.95

$165.25

21%
OFF
Cataland : Why the Fuss? - Christian Stump

Cataland

Why the Fuss?

Paperback

RRP $219.00

$197.25

10%
OFF
Introduction to Lie Algebras : Finite and Infinite Dimension - J. I. Hall

Introduction to Lie Algebras

Finite and Infinite Dimension

Paperback

RRP $229.00

$206.25

10%
OFF
Topology at Infinity of Discrete Groups - Ross Geoghegan

Topology at Infinity of Discrete Groups

Paperback

RRP $347.00

$312.50

10%
OFF
Geometry, Groups and Mathematical Philosophy - Krishnendu Gongopadhyay

Geometry, Groups and Mathematical Philosophy

Paperback

RRP $347.00

$312.50

10%
OFF
$p$-Adic Hodge Theory for Artin Stacks - Dmitry Kubrak

$p$-Adic Hodge Theory for Artin Stacks

Paperback

RRP $219.00

$197.25

10%
OFF

This product is categorised by