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Combinatorics of symmetric designs /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Combinatorics of symmetric designs // Yury J. Ionin, Mohan S. Shrikhande.
Author:	Ionin, Yury J.,
other author:	Shrikhande, Mohan S.,
Description:	1 online resource (xiii, 520 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Combinatorial designs and configurations. -
Online resource:	https://doi.org/10.1017/CBO9780511542992
ISBN:	9780511542992 (ebook)

Combinatorics of symmetric designs /
Ionin, Yury J.,

Combinatorics of symmetric designs /Yury J. Ionin, Mohan S. Shrikhande. - 1 online resource (xiii, 520 pages) :digital, PDF file(s). - New mathematical monographs ;5. - New mathematical monographs ;31..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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.

ISBN: 9780511542992 (ebook)Subjects--Topical Terms:

684242
Combinatorial designs and configurations.

LC Class. No.: QA166.25 / .I56 2006

Dewey Class. No.: 511/.6

Combinatorics of symmetric designs /
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100 1 $a Ionin, Yury J., $e author. $3 1446370
245 1 0 $a Combinatorics of symmetric designs / $c Yury J. Ionin, Mohan S. Shrikhande.
264 1 $a Cambridge : $b Cambridge University Press, $c 2006.
300 $a 1 online resource (xiii, 520 pages) : $b digital, PDF file(s).
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490 1 $a New mathematical monographs ; $v 5
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a 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.
520 $a 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.
650 0 $a Combinatorial designs and configurations. $3 684242
700 1 $a Shrikhande, Mohan S., $d 1945- $e author. $3 1446371
776 0 8 $i Print version: $z 9780521818339
830 0 $a New mathematical monographs ; $v 31. $3 1238333
856 4 0 $u https://doi.org/10.1017/CBO9780511542992