Combinatorial Designs

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Combinatorial Designs

Author : Douglas Stinson
Publisher : Springer Science & Business Media
ISBN 13 : 0387217371
Total Pages : 306 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Combinatorial Designs by : Douglas Stinson

Download or read book Combinatorial Designs written by Douglas Stinson and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Combinatorial Designs and their Applications

Author : Kathleen Quinn
Publisher : Taylor & Francis
ISBN 13 : 1351459740
Total Pages : 160 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Combinatorial Designs and their Applications by : Kathleen Quinn

Download or read book Combinatorial Designs and their Applications written by Kathleen Quinn and published by Taylor & Francis. This book was released on 2023-02-06 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Combinatorial Designs

Author : C. J. Colbourn
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781584885061
Total Pages : 1016 pages
Book Rating : 4.8/5 (85 download)

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Book Synopsis Handbook of Combinatorial Designs by : C. J. Colbourn

Download or read book Handbook of Combinatorial Designs written by C. J. Colbourn and published by Chapman and Hall/CRC. This book was released on 2006-11-02 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Combinatorial Designs and Tournaments

Author : Ian Anderson (Ph. D.)
Publisher : Oxford University Press
ISBN 13 : 9780198500292
Total Pages : 256 pages
Book Rating : 4.5/5 (2 download)

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Book Synopsis Combinatorial Designs and Tournaments by : Ian Anderson (Ph. D.)

Download or read book Combinatorial Designs and Tournaments written by Ian Anderson (Ph. D.) and published by Oxford University Press. This book was released on 1997 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Combinatorial Designs

Author : Douglas R. Stinson
Publisher : Springer Science & Business Media
ISBN 13 : 0387954872
Total Pages : 306 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Combinatorial Designs by : Douglas R. Stinson

Download or read book Combinatorial Designs written by Douglas R. Stinson and published by Springer Science & Business Media. This book was released on 2004 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Combinatorial Designs aims to thoroughly develop the most important techniques used for constructing combinatorial designs. The book provides a detailed and clear exposition of the classical core of combinatorial designs, treating the material progressively from simple to more complex. Readers will master various construction techniques, both classic and modern, and will be well prepared to build a vast array of combinatorial designs. The main prerequisites are familiarity with basic abstract algebra, linear algebra and some number theory fundamentals."--BOOK JACKET.

Combinatorial Design Theory

Author : C.J. Colbourn
Publisher : Elsevier
ISBN 13 : 9780080872605
Total Pages : 469 pages
Book Rating : 4.8/5 (726 download)

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Book Synopsis Combinatorial Design Theory by : C.J. Colbourn

Download or read book Combinatorial Design Theory written by C.J. Colbourn and published by Elsevier. This book was released on 2011-09-22 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial design theory is a vibrant area of combinatorics, connecting graph theory, number theory, geometry, and algebra with applications in experimental design, coding theory, and numerous applications in computer science. This volume is a collection of forty-one state-of-the-art research articles spanning all of combinatorial design theory. The articles develop new methods for the construction and analysis of designs and related combinatorial configurations; both new theoretical methods, and new computational tools and results, are presented. In particular, they extend the current state of knowledge on Steiner systems, Latin squares, one-factorizations, block designs, graph designs, packings and coverings, and develop recursive and direct constructions. The contributions form an overview of the current diversity of themes in design theory for those peripherally interested, while researchers in the field will find it to be a major collection of research advances. The volume is dedicated to Alex Rosa, who has played a major role in fostering and developing combinatorial design theory.

Introduction to Combinatorial Designs, Second Edition

Author : W.D. Wallis
Publisher : CRC Press
ISBN 13 : 1584888393
Total Pages : 328 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Introduction to Combinatorial Designs, Second Edition by : W.D. Wallis

Download or read book Introduction to Combinatorial Designs, Second Edition written by W.D. Wallis and published by CRC Press. This book was released on 2016-04-19 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial theory is one of the fastest growing areas of modern mathematics. Focusing on a major part of this subject, Introduction to Combinatorial Designs, Second Edition provides a solid foundation in the classical areas of design theory as well as in more contemporary designs based on applications in a variety of fields. After an overview of basic concepts, the text introduces balanced designs and finite geometries. The author then delves into balanced incomplete block designs, covering difference methods, residual and derived designs, and resolvability. Following a chapter on the existence theorem of Bruck, Ryser, and Chowla, the book discusses Latin squares, one-factorizations, triple systems, Hadamard matrices, and Room squares. It concludes with a number of statistical applications of designs. Reflecting recent results in design theory and outlining several applications, this new edition of a standard text presents a comprehensive look at the combinatorial theory of experimental design. Suitable for a one-semester course or for self-study, it will prepare readers for further exploration in the field. To access supplemental materials for this volume, visit the author’s website at http://www.math.siu.edu/Wallis/designs

Authentication Codes and Combinatorial Designs

Author : Dingyi Pei
Publisher : CRC Press
ISBN 13 : 1420003186
Total Pages : 256 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Authentication Codes and Combinatorial Designs by : Dingyi Pei

Download or read book Authentication Codes and Combinatorial Designs written by Dingyi Pei and published by CRC Press. This book was released on 2006-01-13 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : A. Hartman
Publisher : Elsevier
ISBN 13 : 9780080867823
Total Pages : 385 pages
Book Rating : 4.8/5 (678 download)

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Book Synopsis Combinatorial Designs by : A. Hartman

Download or read book Combinatorial Designs written by A. Hartman and published by Elsevier. This book was released on 1989-10-11 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Haim Hanani pioneered the techniques for constructing designs and the theory of pairwise balanced designs, leading directly to Wilson's Existence Theorem. He also led the way in the study of resolvable designs, covering and packing problems, latin squares, 3-designs and other combinatorial configurations. The Hanani volume is a collection of research and survey papers at the forefront of research in combinatorial design theory, including Professor Hanani's own latest work on Balanced Incomplete Block Designs. Other areas covered include Steiner systems, finite geometries, quasigroups, and t-designs.

Handbook of Combinatorial Designs

Author : Charles J. Colbourn
Publisher : CRC Press
ISBN 13 : 1420010549
Total Pages : 1011 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Combinatorial Designs by : Charles J. Colbourn

Download or read book Handbook of Combinatorial Designs written by Charles J. Colbourn and published by CRC Press. This book was released on 2006-11-02 with total page 1011 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Finite Geometries and Combinatorial Designs

Author : Earl Sidney Kramer
Publisher : American Mathematical Soc.
ISBN 13 : 0821851187
Total Pages : 312 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Finite Geometries and Combinatorial Designs by : Earl Sidney Kramer

Download or read book Finite Geometries and Combinatorial Designs written by Earl Sidney Kramer and published by American Mathematical Soc.. This book was released on 1990 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than eighty participants from all over the world attended an AMS Special Session on Finite Geometries and Combinatorial Designs held in Lincoln, Nebraska, in the fall of 1987. This volume contains the proceedings of that Special Session, in addition to several invited papers. Employing state-of-the-art combinatorial and geometric methods, the papers show significant advances in this area. Topics range over finite geometry, combinatorial designs, their automorphism groups, and related structures. Requiring graduate-level background, this book is intended primarily for researchers in finite geometries and combinatorial designs. However, the interested nonspecialist will find that the book provides an excellent overview of current activity in these areas.

Combinatorial Designs for Authentication and Secrecy Codes

Author : Michael Huber
Publisher : Now Publishers Inc
ISBN 13 : 1601983581
Total Pages : 107 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Combinatorial Designs for Authentication and Secrecy Codes by : Michael Huber

Download or read book Combinatorial Designs for Authentication and Secrecy Codes written by Michael Huber and published by Now Publishers Inc. This book was released on 2010 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial Designs for Authentication and Secrecy Codes is a succinct in-depth review and tutorial of a subject that promises to lead to major advances in computer and communication security. This monograph provides a tutorial on combinatorial designs, which gives an overview of the theory. Furthermore, the application of combinatorial designs to authentication and secrecy codes is described in depth. This close relationship of designs with cryptography and information security was first revealed in Shannon's seminal paper on secrecy systems. We bring together in one source foundational and current contributions concerning design-theoretic constructions and characterizations of authentication and secrecy codes.

CRC Handbook of Combinatorial Designs

Author : Charles J. Colbourn
Publisher : CRC Press
ISBN 13 : 9781420049954
Total Pages : 778 pages
Book Rating : 4.0/5 (499 download)

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Book Synopsis CRC Handbook of Combinatorial Designs by : Charles J. Colbourn

Download or read book CRC Handbook of Combinatorial Designs written by Charles J. Colbourn and published by CRC Press. This book was released on 2010-12-12 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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:

Designs, Graphs, Codes and their Links

Author : P. J. Cameron
Publisher : Cambridge University Press
ISBN 13 : 9780521423854
Total Pages : 252 pages
Book Rating : 4.4/5 (238 download)

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Book Synopsis Designs, Graphs, Codes and their Links by : P. J. Cameron

Download or read book Designs, Graphs, Codes and their Links written by P. J. Cameron and published by Cambridge University Press. This book was released on 1991-09-19 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book stresses the connection between, and the applications of, design theory to graphs and codes. Beginning with a brief introduction to design theory and the necessary background, the book also provides relevant topics for discussion from the theory of graphs and codes.

Geometry, Combinatorial Designs and Related Structures

Author : J. W. P. Hirschfeld
Publisher : Cambridge University Press
ISBN 13 : 052159538X
Total Pages : 269 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Geometry, Combinatorial Designs and Related Structures by : J. W. P. Hirschfeld

Download or read book Geometry, Combinatorial Designs and Related Structures written by J. W. P. Hirschfeld and published by Cambridge University Press. This book was released on 1997-08-14 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines state of the art research in finite geometries and designs.

Combinatorics of Symmetric Designs

Author : Yury J. Ionin
Publisher : Cambridge University Press
ISBN 13 : 9780521818339
Total Pages : 548 pages
Book Rating : 4.8/5 (183 download)

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Book Synopsis Combinatorics of Symmetric Designs by : Yury J. Ionin

Download or read book Combinatorics of Symmetric Designs written by Yury J. Ionin and published by Cambridge University Press. This book was released on 2006-05-25 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Applications

Author : W.D. Wallis
Publisher : CRC Press
ISBN 13 : 9780824783945
Total Pages : 268 pages
Book Rating : 4.7/5 (839 download)

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Book Synopsis Combinatorial Designs and Applications by : W.D. Wallis

Download or read book Combinatorial Designs and Applications written by W.D. Wallis and published by CRC Press. This book was released on 1990-06-28 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced reference containing 21 selected or consolidated papers presented at an international conference in April 1988 at Tunxi (now Hunangshan), China. Contains recent, previously unavailable findings of Chinese mathematicians; discusses problems, results, and proving methods of combinatorial d