Combinatorics of Symmetric Designs

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Hardcover | 25 May 2006

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534 Pages

Dimensions(cm)
22.23 x 15.24 x 3.18

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The aim of this book is to provide a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. The last five chapters of the book are devoted to balanced generalized weighing matrices, decomposable symmetric designs, subdesigns of symmetric designs, non-embeddable quasi-residual designs, and Ryser designs. Most results in these chapters have never previously appeared in book form. The book concludes with a comprehensive bibliography of over 400 entries. Researchers in all areas of combinatorial designs, including coding theory and finite geometries, will find much of interest here. Detailed proofs and a large number of exercises make this book suitable as a text for an advanced course in combinatorial designs.

Industry Reviews

'Most results in these chapters have never appeared in book form. Researchers in all areas of combinational designs, including coding theory and finite geometries, will find much of interest here. Detailed proofs and a large number of exercises make this book suitable as a text for an advance course in combinatorial designs.' L'enseignement mathematique

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Combinatorics of finite sets
Introduction to designs
Vector spaces over finite fields
Hadamard matrices
Resolvable designs
Symmetric designs and t-designs
Symmetric designs and regular graphs
Block intersection structure of designs
Difference sets
Balanced generalized weighing matrices
Decomposable symmetric designs
Subdesigns of symmetric designs
Non-embeddable quasi-residual designs
Ryser designs
Appendix
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Combinatorics of Symmetric Designs

At a Glance

Hardcover

Industry Reviews

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How to return your order

Defective items

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