Codes and Rings

Written By Minjia Shi
Codes and Rings
  • Publsiher : Academic Press
  • Release : 12 June 2017
  • ISBN : 0128133910
  • Pages : 318 pages
  • Rating : /5 from reviews
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Download or read book entitled Codes and Rings by author: Minjia Shi which was release on 12 June 2017 and published by Academic Press with total page 318 pages . This book available in PDF, EPUB and Kindle Format. Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied aspects of rings and coding theory. New research covered by the book encompasses skew cyclic codes, decomposition theory of quasi-cyclic codes and related codes and duality over Frobenius rings. Primarily suitable for ring theorists at PhD level engaged in application research and coding theorists interested in algebraic foundations, the work is also valuable to computational scientists and working cryptologists in the area. Consolidates 20+ years of research in one volume, helping researchers save time in the evaluation of disparate literature Discusses duality formulas in the context of Frobenius rings Reviews decomposition of quasi-cyclic codes under ring action Evaluates the ideal and modular structure of skew-cyclic codes Supports applications in data compression, distributed storage, network coding, cryptography and across error-correction

Codes and Rings

Codes and Rings
  • Author : Minjia Shi,Adel Alahmadi,Patrick Solé
  • Publisher : Academic Press
  • Release Date : 2017-06-12
  • Total pages : 318
  • ISBN : 0128133910
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Summary : Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this ...

Codes Over Rings

Codes Over Rings
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2021-04-13
  • Total pages : 212
  • ISBN : 0128133910
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Summary : Read online Codes Over Rings written by , published by which was released on . Download full Codes Over Rings Books now! Available in PDF, ePub and Kindle....

Representation Theory Group Rings and Coding Theory

Representation Theory  Group Rings  and Coding Theory
  • Author : M. Isaacs
  • Publisher : American Mathematical Soc.
  • Release Date : 1989
  • Total pages : 357
  • ISBN : 0128133910
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Summary : This volume is dedicated to the memory of the Soviet mathematician S. D. Berman (1922-1987). Berman's work - for the most part in representation theory, group rings, and coding theory - is discussed here in a number of review articles. Among the topics covered are Berman's achievements in coding theory, ...

Rings Modules and Codes

Rings  Modules and Codes
  • Author : André Leroy,Christian Lomp,Sergio López-Permouth,Frédérique Oggier
  • Publisher : American Mathematical Soc.
  • Release Date : 2019-04-12
  • Total pages : 355
  • ISBN : 0128133910
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Summary : This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12–15, 2017, at the University of Artois, Lens, France. The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory ...

Algebraic Coding Theory Over Finite Commutative Rings

Algebraic Coding Theory Over Finite Commutative Rings
  • Author : Steven T. Dougherty
  • Publisher : Springer
  • Release Date : 2017-07-04
  • Total pages : 103
  • ISBN : 0128133910
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Summary : This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject. Coding theory has its origins in the engineering problem of effective electronic communication where the alphabet is generally the binary field. Since its inception, ...

Rings Modules and Codes

Rings  Modules and Codes
  • Author : Andre Gerard Leroy
  • Publisher : Unknown
  • Release Date : 2019
  • Total pages : 355
  • ISBN : 0128133910
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Summary : This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12-15, 2017, at the University of Artois, Lens, France. The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module ...

Concise Encyclopedia of Coding Theory

Concise Encyclopedia of Coding Theory
  • Author : W. Cary Huffman,Jon-Lark Kim,Patrick Solé
  • Publisher : CRC Press
  • Release Date : 2021-03-26
  • Total pages : 998
  • ISBN : 0128133910
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Summary : Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic ...

Finite Commutative Rings and Their Applications

Finite Commutative Rings and Their Applications
  • Author : Gilberto Bini,Flaminio Flamini
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 176
  • ISBN : 0128133910
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Summary : Foreword by Dieter Jungnickel Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding theory. The ...

The Mathematical Theory of Coding

The Mathematical Theory of Coding
  • Author : Ian F. Blake,Ronald C. Mullin
  • Publisher : Academic Press
  • Release Date : 2014-05-10
  • Total pages : 368
  • ISBN : 0128133910
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Summary : 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 ...

English Abstracts of Selected Articles from Soviet Bloc and Mainland China Technical Journals

English Abstracts of Selected Articles from Soviet Bloc and Mainland China Technical Journals
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1963
  • Total pages : 212
  • ISBN : 0128133910
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Summary : Read online English Abstracts of Selected Articles from Soviet Bloc and Mainland China Technical Journals written by , published by which was released on 1963. Download full English Abstracts of Selected Articles from Soviet Bloc and Mainland China Technical Journals Books now! Available in PDF, ePub and Kindle....

Advances in Ring Theory

Advances in Ring Theory
  • Author : Sergio R. López-Permouth,Dinh Van Huynh
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-01-28
  • Total pages : 345
  • ISBN : 0128133910
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Summary : This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring ...

Approach

Approach
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1963
  • Total pages : 212
  • ISBN : 0128133910
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Summary : The naval aviation safety review....

Codes And Modular Forms A Dictionary

Codes And Modular Forms  A Dictionary
  • Author : Minjia Shi,Youngju Choie,Anuradha Sharma,Patrick Sole
  • Publisher : World Scientific
  • Release Date : 2019-11-20
  • Total pages : 232
  • ISBN : 0128133910
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Summary : There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between codes and lattices since the 1960's. The aim of the book is to explore the interplay between codes and modular forms. Here modular form is understood in a wide ...

Finite Rings with Identity

Finite Rings with Identity
  • Author : Bernard R. McDonald,Bernard R.. McDonald,McDonald Bernard R
  • Publisher : Marcel Dekker Incorporated
  • Release Date : 1974
  • Total pages : 429
  • ISBN : 0128133910
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Summary : Read online Finite Rings with Identity written by Bernard R. McDonald,Bernard R.. McDonald,McDonald Bernard R, published by Marcel Dekker Incorporated which was released on 1974. Download full Finite Rings with Identity Books now! Available in PDF, ePub and Kindle....

Quasi Frobenius Rings

Quasi Frobenius Rings
  • Author : W. K. Nicholson,M. F. Yousif
  • Publisher : Cambridge University Press
  • Release Date : 2003-09-08
  • Total pages : 307
  • ISBN : 0128133910
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Summary : Sample Text...