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A First Course In Coding Theory


A First Course In Coding Theory
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Coding Theory


Coding Theory
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Author : San Ling
language : en
Publisher: Cambridge University Press
Release Date : 2004-02-12

Coding Theory written by San Ling 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 2004-02-12 with Computers categories.


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.



A First Course In Coding Theory


A First Course In Coding Theory
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Author : Raymond Hill
language : en
Publisher: Oxford University Press
Release Date : 1986

A First Course In Coding Theory written by Raymond Hill and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Computers categories.


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.



A First Course In Coding Theory


A First Course In Coding Theory
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Author : Raymond Hill
language : en
Publisher:
Release Date : 1991

A First Course In Coding Theory written by Raymond Hill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.




A First Course In Information Theory


A First Course In Information Theory
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Author : Raymond W. Yeung
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-04-30

A First Course In Information Theory written by Raymond W. Yeung 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 2002-04-30 with Computers categories.


An introduction to information theory for discrete random variables. Classical topics and fundamental tools are presented along with three selected advanced topics. Yeung (Chinese U. of Hong Kong) presents chapters on information measures, zero-error data compression, weak and strong typicality, the I-measure, Markov structures, channel capacity, rate distortion theory, Blahut-Arimoto algorithms, information inequalities, and Shannon-type inequalities. The advanced topics included are single-source network coding, multi-source network coding, and entropy and groups. Annotation copyrighted by Book News, Inc., Portland, OR.



Introduction To Coding Theory


Introduction To Coding Theory
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Author : J. H. van Lint
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Introduction To Coding Theory written by J. H. van Lint 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 2013-03-09 with Mathematics categories.


Coding theory is still a young subject. One can safely say that it was born in 1948. It is not surprising that it has not yet become a fixed topic in the curriculum of most universities. On the other hand, it is obvious that discrete mathematics is rapidly growing in importance. The growing need for mathe maticians and computer scientists in industry will lead to an increase in courses offered in the area of discrete mathematics. One of the most suitable and fascinating is, indeed, coding theory. So, it is not surprising that one more book on this subject now appears. However, a little more justification of the book are necessary. A few years ago it was and a little more history remarked at a meeting on coding theory that there was no book available an introductory course on coding theory (mainly which could be used for for mathematicians but also for students in engineering or computer science). The best known textbooks were either too old, too big, too technical, too much for specialists, etc. The final remark was that my Springer Lecture Notes (# 201) were slightly obsolete and out of print. Without realizing what I was getting into I announced that the statement was not true and proved this by showing several participants the book Inleiding in de Coderingstheorie, a little book based on the syllabus of a course given at the Mathematical Centre in Amsterdam in 1975 (M. C. Syllabus 31).



Elements Of Algebraic Coding Theory


Elements Of Algebraic Coding Theory
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Author : Lekh R. Vermani
language : en
Publisher: Routledge
Release Date : 2022-01-26

Elements Of Algebraic Coding Theory written by Lekh R. Vermani and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-26 with Mathematics categories.


Coding theory came into existence in the late 1940s and is concerned with devising efficient encoding and decoding procedures. The book is intended as a principal text for first courses in coding and algebraic coding theory, and is aimed at advanced undergraduates and recent graduates as both a course and self-study text. BCH and cyclic, Group codes, Hamming codes, polynomial as well as many other codes are introduced in this textbook. Incorporating numerous worked examples and complete logical proofs, it is an ideal introduction to the fundamental of algebraic coding.



Introduction To Coding Theory


Introduction To Coding Theory
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Author : Ron Roth
language : en
Publisher: Cambridge University Press
Release Date : 2006-02-23

Introduction To Coding Theory written by Ron Roth 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 2006-02-23 with Computers categories.


This 2006 book introduces the theoretical foundations of error-correcting codes for senior-undergraduate to graduate students.



Introduction To Coding And Information Theory


Introduction To Coding And Information Theory
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Author : Steven Roman
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-11-26

Introduction To Coding And Information Theory written by Steven Roman 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 1996-11-26 with Computers categories.


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.



Information And Coding Theory


Information And Coding Theory
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Author : Gareth A. Jones
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-06-26

Information And Coding Theory written by Gareth A. Jones 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 2000-06-26 with Mathematics categories.


This text is an elementary introduction to information and coding theory. The first part focuses on information theory, covering uniquely decodable and instantaneous codes, Huffman coding, entropy, information channels, and Shannon’s Fundamental Theorem. In the second part, linear algebra is used to construct examples of such codes, such as the Hamming, Hadamard, Golay and Reed-Muller codes. Contains proofs, worked examples, and exercises.



Information Theory And Network Coding


Information Theory And Network Coding
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Author : Raymond W. Yeung
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-10

Information Theory And Network Coding written by Raymond W. Yeung 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 2008-09-10 with Computers categories.


This book is an evolution from my book A First Course in Information Theory published in 2002 when network coding was still at its infancy. The last few years have witnessed the rapid development of network coding into a research ?eld of its own in information science. With its root in infor- tion theory, network coding has not only brought about a paradigm shift in network communications at large, but also had signi?cant in?uence on such speci?c research ?elds as coding theory, networking, switching, wireless c- munications,distributeddatastorage,cryptography,andoptimizationtheory. While new applications of network coding keep emerging, the fundamental - sults that lay the foundation of the subject are more or less mature. One of the main goals of this book therefore is to present these results in a unifying and coherent manner. While the previous book focused only on information theory for discrete random variables, the current book contains two new chapters on information theory for continuous random variables, namely the chapter on di?erential entropy and the chapter on continuous-valued channels. With these topics included, the book becomes more comprehensive and is more suitable to be used as a textbook for a course in an electrical engineering department.