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Combinatorics of Symmetric Designs

Author: Yury J. Ionin

Publisher: Cambridge University Press

Published: 2006-05-25

Total Pages: 548

ISBN-13: 9780521818339

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. All researchers in combinatorial designs, coding theory, and finite geometries will find much of interest here, and this book can also serve as a text for an advanced course in combinatorial designs.

Symmetric Designs

Author: Eric S. Lander

Publisher: Cambridge University Press

Published: 1983-01-20

Total Pages: 321

ISBN-13: 052128693X

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Symmetric designs are an important class of combinatorial structures which arose first in the statistics and are now especially important in the study of finite geometries. This book presents some of the algebraic techniques that have been brought to bear on the question of existence, construction and symmetry of symmetric designs - including methods inspired by the algebraic theory of coding and by the representation theory of finite groups - and includes many results. Rich in examples and containing over 100 problems, the text also provides an introduction to many of the modern algebraic approaches used, through six lengthy appendices and supplementary problems. The book will be of interest to both combinatorialists and algebraists, and could be used as a course text for a graduate course.

Quasi-symmetric Designs

Author: Mohan S. Shrikhande

Publisher: Cambridge University Press

Published: 1991-11-29

Total Pages: 245

ISBN-13: 0521414075

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Design theory is a branch of combinatorics with applications in number theory, coding theory and geometry. In this book the authors discuss the generalization of results and applications to quasi-symmetric designs. The coverage is comprehensive and will be useful for researchers and graduate students. An attractive feature is the discussion of unsolved problems.

Handbook of Combinatorial Designs

Author: Charles J. Colbourn

Publisher: CRC Press

Published: 2006-11-02

Total Pages: 1011

ISBN-13: 1420010549

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Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence

CRC Handbook of Combinatorial Designs

Author: Charles J. Colbourn

Publisher: CRC Press

Published: 2010-12-12

Total Pages: 778

ISBN-13: 9781420049954

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From experimental design to cryptography, this comprehensive, easy-to-access reference contains literally all the facts you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs. Organized into six main parts, the CRC Handbook of Combinatorial Designs covers:

Finite Geometries and Combinatorial Designs

Author: Earl Sidney Kramer

Publisher: American Mathematical Soc.

Published: 1990

Total Pages: 332

ISBN-13: 0821851187

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The proceedings of an AMS special session on finite geometries and combinatorial designs. Topics range over finite geometry, combinatorial designs, their automorphism groups and related structures.

Codes and Designs

Author: K. T. Arasu

Publisher: Walter de Gruyter

Published: 2008-08-22

Total Pages: 333

ISBN-13: 3110198118

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Following an initiative of the late Hans Zassenhaus in 1965, the Departments of Mathematics at The Ohio State University and Denison University organize conferences in combinatorics, group theory, and ring theory. Between May 18-21, 2000, the 25th conference of this series was held. Usually, there are twenty to thirty invited 20-minute talks in each of the three main areas. However, at the 2000 meeting, the combinatorics part of the conference was extended, to honor the 65th birthday of Professor Dijen Ray-Chaudhuri. This volulme is the proceedings of this extension. Most of the papers are in coding theory and design theory, reflecting the major interest of Professor Ray-Chaudhuri, but there are articles on association schemes, algebraic graph theory, combinatorial geometry, and network flows as well. There are four surveys and seventeen research articles, and all of these went through a thorough refereeing process. The volume is primarily recommended for researchers and graduate students interested in new developments in coding theory and design theory.