Coding Theory And Design Theory

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Coding Theory

Author : San Ling
Publisher : Cambridge University Press
ISBN 13 : 9780521529235
Total Pages : 238 pages
Book Rating : 4.5/5 (292 download)

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Book Synopsis Coding Theory by : San Ling

Download or read book Coding Theory written by San Ling and published by Cambridge University Press. This book was released on 2004-02-12 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coding theory is concerned with successfully transmitting data through a noisy channel and correcting errors in corrupted messages. It is of central importance for many applications in computer science or engineering. This book gives a comprehensive introduction to coding theory whilst only assuming basic linear algebra. It contains a detailed and rigorous introduction to the theory of block codes and moves on to more advanced topics like BCH codes, Goppa codes and Sudan's algorithm for list decoding. The issues of bounds and decoding, essential to the design of good codes, features prominently. The authors of this book have, for several years, successfully taught a course on coding theory to students at the National University of Singapore. This book is based on their experiences and provides a thoroughly modern introduction to the subject. There are numerous examples and exercises, some of which introduce students to novel or more advanced material.

Code Design for Dependable Systems

Author : Eiji Fujiwara
Publisher : John Wiley & Sons
ISBN 13 : 047179273X
Total Pages : 718 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Code Design for Dependable Systems by : Eiji Fujiwara

Download or read book Code Design for Dependable Systems written by Eiji Fujiwara and published by John Wiley & Sons. This book was released on 2006-05-26 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical and practical tools to master matrix code design strategy and technique Error correcting and detecting codes are essential to improving system reliability and have popularly been applied to computer systems and communication systems. Coding theory has been studied mainly using the code generator polynomials; hence, the codes are sometimes called polynomial codes. On the other hand, the codes designed by parity check matrices are referred to in this book as matrix codes. This timely book focuses on the design theory for matrix codes and their practical applications for the improvement of system reliability. As the author effectively demonstrates, matrix codes are far more flexible than polynomial codes, as they are capable of expressing various types of code functions. In contrast to other coding theory publications, this one does not burden its readers with unnecessary polynomial algebra, but rather focuses on the essentials needed to understand and take full advantage of matrix code constructions and designs. Readers are presented with a full array of theoretical and practical tools to master the fine points of matrix code design strategy and technique: * Code designs are presented in relation to practical applications, such as high-speed semiconductor memories, mass memories of disks and tapes, logic circuits and systems, data entry systems, and distributed storage systems * New classes of matrix codes, such as error locating codes, spotty byte error control codes, and unequal error control codes, are introduced along with their applications * A new parallel decoding algorithm of the burst error control codes is demonstrated In addition to the treatment of matrix codes, the author provides readers with a general overview of the latest developments and advances in the field of code design. Examples, figures, and exercises are fully provided in each chapter to illustrate concepts and engage the reader in designing actual code and solving real problems. The matrix codes presented with practical parameter settings will be very useful for practicing engineers and researchers. References lead to additional material so readers can explore advanced topics in depth. Engineers, researchers, and designers involved in dependable system design and code design research will find the unique focus and perspective of this practical guide and reference helpful in finding solutions to many key industry problems. It also can serve as a coursebook for graduate and advanced undergraduate students.

Coding Theory and Design Theory

Author : Dijen K. Ray-Chaudhuri
Publisher :
ISBN 13 : 9783540972310
Total Pages : 378 pages
Book Rating : 4.9/5 (723 download)

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Book Synopsis Coding Theory and Design Theory by : Dijen K. Ray-Chaudhuri

Download or read book Coding Theory and Design Theory written by Dijen K. Ray-Chaudhuri and published by . This book was released on 1990 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Coding Theory and Design Theory

Author : Dijen Ray-Chaudhuri
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Coding Theory and Design Theory by : Dijen Ray-Chaudhuri

Download or read book Coding Theory and Design Theory written by Dijen Ray-Chaudhuri and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Information Theory and Coding Design

Author : Roberto Togneri
Publisher : CRC Press
ISBN 13 : 0203998103
Total Pages : 385 pages
Book Rating : 4.2/5 (39 download)

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Book Synopsis Fundamentals of Information Theory and Coding Design by : Roberto Togneri

Download or read book Fundamentals of Information Theory and Coding Design written by Roberto Togneri and published by CRC Press. This book was released on 2003-01-13 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Books on information theory and coding have proliferated over the last few years, but few succeed in covering the fundamentals without losing students in mathematical abstraction. Even fewer build the essential theoretical framework when presenting algorithms and implementation details of modern coding systems. Without abandoning the theoret

Coding Theory And Cryptology

Author : Harald Niederreiter
Publisher : World Scientific
ISBN 13 : 981448766X
Total Pages : 460 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Coding Theory And Cryptology by : Harald Niederreiter

Download or read book Coding Theory And Cryptology written by Harald Niederreiter and published by World Scientific. This book was released on 2002-12-03 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inaugural research program of the Institute for Mathematical Sciences at the National University of Singapore took place from July to December 2001 and was devoted to coding theory and cryptology. As part of the program, tutorials for graduate students and junior researchers were given by world-renowned scholars. These tutorials covered fundamental aspects of coding theory and cryptology and were designed to prepare for original research in these areas. The present volume collects the expanded lecture notes of these tutorials. The topics range from mathematical areas such as computational number theory, exponential sums and algebraic function fields through coding-theory subjects such as extremal problems, quantum error-correcting codes and algebraic-geometry codes to cryptologic subjects such as stream ciphers, public-key infrastructures, key management, authentication schemes and distributed system security.

Graph Theory, Coding Theory and Block Designs

Author : P. J. Cameron
Publisher : Cambridge University Press
ISBN 13 : 0521207428
Total Pages : 125 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Graph Theory, Coding Theory and Block Designs by : P. J. Cameron

Download or read book Graph Theory, Coding Theory and Block Designs written by P. J. Cameron and published by Cambridge University Press. This book was released on 1975-09-18 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are notes deriving from lecture courses on the theory of t-designs and graph theory given by the authors in 1973 at Westfield College, London.

Coding Theory and Design Theory

Author : Dijen Ray-Chaudhuri
Publisher : Springer Science & Business Media
ISBN 13 : 1461389941
Total Pages : 252 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Coding Theory and Design Theory by : Dijen Ray-Chaudhuri

Download or read book Coding Theory and Design Theory written by Dijen Ray-Chaudhuri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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".

Modern Coding Theory

Author : Tom Richardson
Publisher : Cambridge University Press
ISBN 13 : 9780521852296
Total Pages : 590 pages
Book Rating : 4.8/5 (522 download)

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Book Synopsis Modern Coding Theory by : Tom Richardson

Download or read book Modern Coding Theory written by Tom Richardson and published by Cambridge University Press. This book was released on 2008-03-17 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Having trouble deciding which coding scheme to employ, how to design a new scheme, or how to improve an existing system? This summary of the state-of-the-art in iterative coding makes this decision more straightforward. With emphasis on the underlying theory, techniques to analyse and design practical iterative coding systems are presented. Using Gallager's original ensemble of LDPC codes, the basic concepts are extended for several general codes, including the practically important class of turbo codes. The simplicity of the binary erasure channel is exploited to develop analytical techniques and intuition, which are then applied to general channel models. A chapter on factor graphs helps to unify the important topics of information theory, coding and communication theory. Covering the most recent advances, this text is ideal for graduate students in electrical engineering and computer science, and practitioners. Additional resources, including instructor's solutions and figures, available online: www.cambridge.org/9780521852296.

Coding Theory and Design Theory

Author : Dijen Ray-Chaudhuri
Publisher : Springer
ISBN 13 : 9781461566557
Total Pages : 396 pages
Book Rating : 4.5/5 (665 download)

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Book Synopsis Coding Theory and Design Theory by : Dijen Ray-Chaudhuri

Download or read book Coding Theory and Design Theory written by Dijen Ray-Chaudhuri and published by Springer. This book was released on 2014-08-15 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications Coding Theory and Design Theory Part II: Design 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 RC. 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 RC. Bose's 1947 Sankhya paper Mathematical theory of the symmetrical factorial designs.

Coding Theory and Design Theory

Author : Dijen Ray-Chaudhuri
Publisher :
ISBN 13 : 9781461389958
Total Pages : 256 pages
Book Rating : 4.3/5 (899 download)

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Book Synopsis Coding Theory and Design Theory by : Dijen Ray-Chaudhuri

Download or read book Coding Theory and Design Theory written by Dijen Ray-Chaudhuri and published by . This book was released on 1990-04-02 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Coding Theory

Author : Andre Neubauer
Publisher : John Wiley & Sons
ISBN 13 : 9780470519820
Total Pages : 362 pages
Book Rating : 4.5/5 (198 download)

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Book Synopsis Coding Theory by : Andre Neubauer

Download or read book Coding Theory written by Andre Neubauer and published by John Wiley & Sons. This book was released on 2007-10-22 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important key technologies for digital communication systems as well as storage media is coding theory. It provides a means to transmit information across time and space over noisy and unreliable communication channels. Coding Theory: Algorithms, Architectures and Applications provides a concise overview of channel coding theory and practice, as well as the accompanying signal processing architectures. The book is unique in presenting algorithms, architectures, and applications of coding theory in a unified framework. It covers the basics of coding theory before moving on to discuss algebraic linear block and cyclic codes, turbo codes and low density parity check codes and space-time codes. Coding Theory provides algorithms and architectures used for implementing coding and decoding strategies as well as coding schemes used in practice especially in communication systems. Feature of the book include: Unique presentation-like style for summarising main aspects Practical issues for implementation of coding techniques Sound theoretical approach to practical, relevant coding methodologies Covers standard coding schemes such as block and convolutional codes, coding schemes such as Turbo and LDPC codes, and space time codes currently in research, all covered in a common framework with respect to their applications. This book is ideal for postgraduate and undergraduate students of communication and information engineering, as well as computer science students. It will also be of use to engineers working in the industry who want to know more about the theoretical basics of coding theory and their application in currently relevant communication systems

A First Course in Coding Theory

Author : Raymond Hill
Publisher : Oxford University Press
ISBN 13 : 9780198538035
Total Pages : 268 pages
Book Rating : 4.5/5 (38 download)

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Book Synopsis A First Course in Coding Theory by : Raymond Hill

Download or read book A First Course in Coding Theory written by Raymond Hill and published by Oxford University Press. This book was released on 1986 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic coding theory is a new and rapidly developing subject, popular for its many practical applications and for its fascinatingly rich mathematical structure. This book provides an elementary yet rigorous introduction to the theory of error-correcting codes. Based on courses given by the author over several years to advanced undergraduates and first-year graduated students, this guide includes a large number of exercises, all with solutions, making the book highly suitable for individual study.

The Theory of Information and Coding

Author : R. J. McEliece
Publisher : Cambridge University Press
ISBN 13 : 9780521831857
Total Pages : 414 pages
Book Rating : 4.8/5 (318 download)

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Book Synopsis The Theory of Information and Coding by : R. J. McEliece

Download or read book The Theory of Information and Coding written by R. J. McEliece and published by Cambridge University Press. This book was released on 2004-07-15 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Student edition of the classic text in information and coding theory

Selected Topics In Information And Coding Theory

Author : Isaac Woungang
Publisher : World Scientific
ISBN 13 : 981446919X
Total Pages : 725 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Selected Topics In Information And Coding Theory by : Isaac Woungang

Download or read book Selected Topics In Information And Coding Theory written by Isaac Woungang and published by World Scientific. This book was released on 2010-02-26 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have witnessed rapid advancements in information and coding theory research and applications. This book provides a comprehensive guide to selected topics, both ongoing and emerging, in information and coding theory. Consisting of contributions from well-known and high-profile researchers in their respective specialties, topics that are covered include source coding; channel capacity; linear complexity; code construction, existence and analysis; bounds on codes and designs; space-time coding; LDPC codes; and codes and cryptography.All of the chapters are integrated in a manner that renders the book as a supplementary reference volume or textbook for use in both undergraduate and graduate courses on information and coding theory. As such, it will be a valuable text for students at both undergraduate and graduate levels as well as instructors, researchers, engineers, and practitioners in these fields.Supporting Powerpoint Slides are available upon request for all instructors who adopt this book as a course text.

Introduction to Coding and Information Theory

Author : Steven Roman
Publisher : Springer Science & Business Media
ISBN 13 : 9780387947044
Total Pages : 344 pages
Book Rating : 4.9/5 (47 download)

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Book Synopsis Introduction to Coding and Information Theory by : Steven Roman

Download or read book Introduction to Coding and Information Theory written by Steven Roman and published by Springer Science & Business Media. This book was released on 1996-11-26 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. It begins with a review of probablity theory as applied to finite sample spaces and a general introduction to the nature and types of codes. The two subsequent chapters discuss information theory: efficiency of codes, the entropy of information sources, and Shannon's Noiseless Coding Theorem. The remaining three chapters deal with coding theory: communication channels, decoding in the presence of errors, the general theory of linear codes, and such specific codes as Hamming codes, the simplex codes, and many others.

The Mathematical Theory of Coding

Author : Ian F. Blake
Publisher : Academic Press
ISBN 13 : 1483260593
Total Pages : 369 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Mathematical Theory of Coding by : Ian F. Blake

Download or read book The Mathematical Theory of Coding written by Ian F. Blake and published by Academic Press. This book was released on 2014-05-10 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.