Codes And Designs
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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.
Designs And Their Codes
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Author : E. F. Assmus
language : en
Publisher: Cambridge University Press
Release Date : 1994-01-06
Designs And Their Codes written by E. F. Assmus 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 1994-01-06 with Mathematics categories.
A self-contained account suited for a wide audience describing coding theory, combinatorial designs and their relations.
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)
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 From Linear Codes
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Author : Ding Cunsheng
language : en
Publisher:
Release Date : 2019
Designs From Linear Codes written by Ding Cunsheng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with SCIENCE categories.
This monograph aims to provide a well-rounded and detailed account of designs using linear codes. Most chapters of this monograph cover on the designs of linear codes. A few chapters deal with designs obtained from linear codes in other ways. Connections among ovals, hyperovals, maximal arcs, ovoids, linear codes and designs are also investigated. This book consists of both classical results on designs from linear codes and recent results yet published by others.This monograph is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications, or finite geometry.
Coding Theory And Design Theory
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Author : Dijen Ray-Chaudhuri
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Coding Theory And Design Theory written by Dijen Ray-Chaudhuri and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This IMA Volume in Mathematics and its Applications Coding Theory and Design Theory Part I: Coding Theory is based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on APPLIED COMBINATORICS. We are grateful to the Scientific Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for planning and implementing an exciting and stimulating year long program. We especially thank the Workshop Organizer, Dijen Ray-Chaudhuri, for organizing a workshop which brought together many of the major figures in a variety of research fields in which coding theory and design theory are used. A vner Friedman Willard Miller, Jr. PREFACE Coding Theory and Design Theory are areas of Combinatorics which found rich applications of algebraic structures. Combinatorial designs are generalizations of finite geometries. Probably, the history of Design Theory begins with the 1847 pa per of Reverand T. P. Kirkman "On a problem of Combinatorics", Cambridge and Dublin Math. Journal. The great Statistician R. A. Fisher reinvented the concept of combinatorial 2-design in the twentieth century. Extensive application of alge braic structures for construction of 2-designs (balanced incomplete block designs) can be found in R. C. Bose's 1939 Annals of Eugenics paper, "On the construction of balanced incomplete block designs". Coding Theory and Design Theory are closely interconnected. Hamming codes can be found (in disguise) in R. C. Bose's 1947 Sankhya paper "Mathematical theory of the symmetrical factorial designs".
Designs From Linear Codes
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Author : Cunsheng Ding
language : en
Publisher:
Release Date : 2021
Designs From Linear Codes written by Cunsheng Ding and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Coding theory 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"--
Codes Designs And Geometry
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Author : Vladimir Tonchev
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Codes Designs And Geometry written by Vladimir Tonchev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
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 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.
Codes Designs And Geometry
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Author : Vladimir Tonchev
language : en
Publisher:
Release Date : 2014-01-15
Codes Designs And Geometry written by Vladimir Tonchev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.