Designs Graphs Codes And Their Links
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Designs Graphs Codes And Their Links
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Author : P. J. Cameron
language : en
Publisher: Cambridge University Press
Release Date : 1991-09-19
Designs Graphs Codes And Their Links written by P. J. Cameron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-09-19 with Mathematics categories.
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
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Author : Peter Jephson Cameron
language : en
Publisher:
Release Date : 2014-05-14
Designs Graphs Codes And Their Links written by Peter Jephson Cameron and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Coding theory categories.
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
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Author : P. J. Cameron
language : en
Publisher: Cambridge University Press
Release Date : 1980-07-31
Graphs Codes And Designs written by P. J. Cameron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-07-31 with Mathematics categories.
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.
Graphs Codes And Designs
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Author : Peter Jephson Cameron
language : en
Publisher:
Release Date : 2014-05-14
Graphs Codes And Designs written by Peter Jephson Cameron and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
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.
Information Security Coding Theory And Related Combinatorics
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Author : Dean Crnković
language : en
Publisher: IOS Press
Release Date : 2011
Information Security Coding Theory And Related Combinatorics written by Dean Crnković and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computers categories.
"Published in cooperation with NATO Emerging Security Challenges Division"--T.p.
Designs From Linear Codes Second Edition
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Author : Cunsheng Ding
language : en
Publisher: World Scientific
Release Date : 2021-12-20
Designs From Linear Codes Second Edition written by Cunsheng Ding and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-20 with Computers categories.
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)
Combinatorial Configurations
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Author : Vladimir Tonchev
language : en
Publisher: Longman Scientific and Technical
Release Date : 1988
Combinatorial Configurations written by Vladimir Tonchev and has been published by Longman Scientific and Technical this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Algebraic Design Theory And Hadamard Matrices
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Author : Charles J. Colbourn
language : en
Publisher: Springer
Release Date : 2015-09-03
Algebraic Design Theory And Hadamard Matrices written by Charles J. Colbourn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-03 with Mathematics categories.
This volume develops the depth and breadth of the mathematics underlying the construction and analysis of Hadamard matrices, and their use in the construction of combinatorial designs. At the same time, it pursues current research in their numerous applications in security and cryptography, quantum information, and communications. Bridges among diverse mathematical threads and extensive applications make this an invaluable source for understanding both the current state of the art and future directions. The existence of Hadamard matrices remains one of the most challenging open questions in combinatorics. Substantial progress on their existence has resulted from advances in algebraic design theory using deep connections with linear algebra, abstract algebra, finite geometry, number theory, and combinatorics. Hadamard matrices arise in a very diverse set of applications. Starting with applications in experimental design theory and the theory of error-correcting codes, they have found unexpected and important applications in cryptography, quantum information theory, communications, and networking.
Ldpc Code Designs Constructions And Unification
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Author : Juane Li
language : en
Publisher: Cambridge University Press
Release Date : 2016-12
Ldpc Code Designs Constructions And Unification written by Juane Li and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12 with Computers categories.
In this book, leading authorities unify algebraic- and graph-based LDPC code designs and constructions into a single theoretical framework.
Handbook Of Combinatorial Designs
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Author : Charles J. Colbourn
language : en
Publisher: CRC Press
Release Date : 2006-11-02
Handbook Of Combinatorial Designs written by Charles J. Colbourn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-02 with Computers categories.
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