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CRC Handbook of Combinatorial Designs

CRC Handbook of Combinatorial Designs
Author: Charles J. Colbourn
Publisher: CRC Press
Total Pages: 778
Release: 2010-12-12
Genre: Mathematics
ISBN: 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:


Handbook of Combinatorial Designs

Handbook of Combinatorial Designs
Author: C. J. Colbourn
Publisher: Chapman and Hall/CRC
Total Pages: 1016
Release: 2006-11-02
Genre: Mathematics
ISBN: 9781584885061

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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 results. Over 30% longer than the first edition, the book builds upon the groundwork of its predecessor while retaining the original contributors' expertise. The first part contains a brief introduction and history of the subject. The following parts focus on four main classes of combinatorial designs: balanced incomplete block designs, orthogonal arrays and Latin squares, pairwise balanced designs, and Hadamard and orthogonal designs. Closely connected to the preceding sections, the next part surveys 65 additional classes of designs, such as balanced ternary, factorial, graphical, Howell, quasi-symmetric, and spherical. The final part presents mathematical and computational background related to design theory. New to the Second Edition An introductory part that provides a general overview and a historical perspective of the area New chapters on the history of design theory, various codes, bent functions, and numerous types of designs Fully updated tables, including BIBDs, MOLS, PBDs, and Hadamard matrices Nearly 2,200 references in a single bibliographic section Meeting the need for up-to-date and accessible tabular and reference information, this handbook provides the tools to understand combinatorial design theory and applications that span the entire discipline. The author maintains a website with more information.


Handbook of Combinatorial Designs

Handbook of Combinatorial Designs
Author: Charles J. Colbourn
Publisher: CRC Press
Total Pages: 1011
Release: 2006-11-02
Genre: Computers
ISBN: 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


Combinatorial Designs

Combinatorial Designs
Author: Douglas Stinson
Publisher: Springer Science & Business Media
Total Pages: 306
Release: 2007-05-08
Genre: Mathematics
ISBN: 0387217371

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Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.


Geometry, Combinatorial Designs and Related Structures

Geometry, Combinatorial Designs and Related Structures
Author: J. W. P. Hirschfeld
Publisher: Cambridge University Press
Total Pages: 269
Release: 1997-08-14
Genre: Mathematics
ISBN: 052159538X

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This volume examines state of the art research in finite geometries and designs.


Combinatorics of Symmetric Designs

Combinatorics of Symmetric Designs
Author: Yury J. Ionin
Publisher: Cambridge University Press
Total Pages: 548
Release: 2006-05-25
Genre: Language Arts & Disciplines
ISBN: 9780521818339

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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. 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.


Combinatorial Designs and their Applications

Combinatorial Designs and their Applications
Author: Kathleen Quinn
Publisher: Taylor & Francis
Total Pages: 160
Release: 2023-02-06
Genre: Mathematics
ISBN: 1351459740

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The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these areas in a more complete and accessible form. Through their contributions to this collection, they help fill a gap in the available combinatorics literature.The papers included in this volume cover recent developments in areas of current interest, such as difference sets, cryptography, and optimal linear codes. Researchers in combinatorics and other areas of pure mathematics, along with researchers in statistics and computer design will find in-depth, up-to-date discussions of design theory and the application of the theory to statistical design, codes, and cryptography.


Authentication Codes and Combinatorial Designs

Authentication Codes and Combinatorial Designs
Author: Dingyi Pei
Publisher: CRC Press
Total Pages: 253
Release: 2006-01-13
Genre: Computers
ISBN: 1420003186

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Researchers and practitioners of cryptography and information security are constantly challenged to respond to new attacks and threats to information systems. Authentication Codes and Combinatorial Designs presents new findings and original work on perfect authentication codes characterized in terms of combinatorial designs, namely strong partially


Combinatorial Designs and Tournaments

Combinatorial Designs and Tournaments
Author: Ian Anderson (Ph. D.)
Publisher: Oxford University Press
Total Pages: 256
Release: 1997
Genre: Mathematics
ISBN: 9780198500292

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The mathematics of tournament design are surprisingly subtle, and this book, an extensively revised version of Ellis Horwood's popular Combinatorial Designs: Construction Methods, provides a thorough introduction. It includes a new chapter on league schedules, which discusses round robin tournaments, venue sequences, and carry-over effects. It also discusses balanced tournament designs, double schedules, and bridge and whist tournament design. Readable and authoritative, the book emphasizes throughout the historical development of the material and includes numerous examples and exercises giving detailed constructions.