Designs, Graphs, Codes and Their Links

Designs, Graphs, Codes and Their Links PDF

Author: P. J. Cameron

Publisher: Cambridge University Press

Published: 1991-09-19

Total Pages: 256

ISBN-13: 9780521423854

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Although graph theory, design theory, and coding theory had their origins in various areas of applied mathematics, today they are to be found under the umbrella of discrete mathematics. Here the authors have considerably reworked and expanded their earlier successful books on graphs, codes and designs, into an invaluable textbook. They do not seek to consider each of these three topics individually, but rather to stress the many and varied connections between them. The discrete mathematics needed is developed in the text, making this book accessible to any student with a background of undergraduate algebra. Many exercises and useful hints are included througout, and a large number of references are given.

Designs, Graphs, Codes and Their Links

Designs, Graphs, Codes and Their Links PDF

Author: Peter Jephson Cameron

Publisher:

Published: 2014-05-14

Total Pages: 251

ISBN-13: 9781107361744

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This book demonstrates the connection between, and the applications of, design theory to graphs and codes. It is suitable as a textbook for advanced undergraduate students.

Graphs, Codes and Designs

Graphs, Codes and Designs PDF

Author: P. J. Cameron

Publisher: Cambridge University Press

Published: 1980-07-31

Total Pages: 157

ISBN-13: 0521231418

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This book is concerned with the relations between graphs, error-correcting codes and designs, in particular how techniques of graph theory and coding theory can give information about designs. A major revision and expansion of a previous volume in this series, this account includes many examples and new results as well as improved treatments of older material. So that non-specialists will find the treatment accessible the authors have included short introductions to the three main topics. This book will be welcomed by graduate students and research mathematicians and be valuable for advanced courses in finite combinatorics.

Designs From Linear Codes (Second Edition)

Designs From Linear Codes (Second Edition) PDF

Author: Cunsheng Ding

Publisher: World Scientific

Published: 2021-12-20

Total Pages: 540

ISBN-13: 9811251347

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Since the publication of the first edition of this monograph, a generalisation of the Assmus-Mattson theorem for linear codes over finite fields has been developed, two 70-year breakthroughs and a considerable amount of other progress on t-designs from linear codes have been made. This second edition is a substantial revision and expansion of the first edition. Two new chapters and two new appendices have been added, and most chapters of the first edition have been revised.It provides a well-rounded and detailed account of t-designs from linear codes. Most chapters of this book cover the support designs of linear codes. A few chapters deal with designs obtained from linear codes in other ways. Connections among ovals, hyperovals, maximal arcs, ovoids, special functions, linear codes and designs are also investigated. This book consists of both classical and recent results on designs from linear codes.It is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications, or finite geometry. It can also be used as a textbook for postgraduates in these subject areas.Related Link(s)

Handbook of Combinatorial Designs

Handbook of Combinatorial Designs PDF

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

Codes, Designs and Geometry

Codes, Designs and Geometry PDF

Author: Vladimir Tonchev

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 114

ISBN-13: 1461314232

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Codes, Designs, and Geometry brings together in one place important contributions and up-to-date research results in this important area. Codes, Designs, and Geometry serves as an excellent reference, providing insight into some of the most important research issues in the field.

Combinatorial Designs and their Applications

Combinatorial Designs and their Applications PDF

Author: Kathleen Quinn

Publisher: Taylor & Francis

Published: 2023-02-06

Total Pages: 160

ISBN-13: 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.

CRC Handbook of Combinatorial Designs

CRC Handbook of Combinatorial Designs PDF

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:

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