Codes Designs And Geometry
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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.
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.
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 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
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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.
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"--
Geometric Computation Foundations For Design
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Author : Joy Ko
language : en
Publisher: Routledge
Release Date : 2018-02-15
Geometric Computation Foundations For Design written by Joy Ko and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-15 with Architecture categories.
Geometric Computation: Foundations for Design describes the mathematical and computational concepts that are central to the practical application of design computation in a manner tailored to the visual designer. Uniquely pairing key topics in code and geometry, this book develops the two key faculties required by designers that seek to integrate computation into their creative practice: an understanding of the structure of code in object-oriented programming, and a proficiency in the fundamental geometric constructs that underlie much of the computational media in visual design.
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.
The Mathematical Theory Of Coding
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Author : Ian F. Blake
language : en
Publisher: Academic Press
Release Date : 2014-05-10
The Mathematical Theory Of Coding written by Ian F. Blake and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
The Mathematical Theory of Coding focuses on the application of algebraic and combinatoric methods to the coding theory, including linear transformations, vector spaces, and combinatorics. The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on self-dual and quasicyclic codes, quadratic residues and codes, balanced incomplete block designs and codes, bounds on code dictionaries, code invariance under permutation groups, and linear transformations of vector spaces over finite fields. The text then takes a look at coding and combinatorics and the structure of semisimple rings. Topics include structure of cyclic codes and semisimple rings, group algebra and group characters, rings, ideals, and the minimum condition, chains and chain groups, dual chain groups, and matroids, graphs, and coding. The book ponders on group representations and group codes for the Gaussian channel, including distance properties of group codes, initial vector problem, modules, group algebras, andrepresentations, orthogonality relationships and properties of group characters, and representation of groups. The manuscript is a valuable source of data for mathematicians and researchers interested in the mathematical theory of coding.
Algebraic Geometric Codes Basic Notions
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Author : Michael Tsfasman
language : en
Publisher: American Mathematical Society
Release Date : 2022-04-15
Algebraic Geometric Codes Basic Notions written by Michael Tsfasman and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-15 with Mathematics categories.
The book is devoted to the theory of algebraic geometric codes, a subject formed on the border of several domains of mathematics. On one side there are such classical areas as algebraic geometry and number theory; on the other, information transmission theory, combinatorics, finite geometries, dense packings, etc. The authors give a unique perspective on the subject. Whereas most books on coding theory build up coding theory from within, starting from elementary concepts and almost always finishing without reaching a certain depth, this book constantly looks for interpretations that connect coding theory to algebraic geometry and number theory. There are no prerequisites other than a standard algebra graduate course. The first two chapters of the book can serve as an introduction to coding theory and algebraic geometry respectively. Special attention is given to the geometry of curves over finite fields in the third chapter. Finally, in the last chapter the authors explain relations between all of these: the theory of algebraic geometric codes.