Introduction To Coding Theory

Author : J.H. van Lint
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 44,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642585753

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Introduction to Coding Theory by J.H. van Lint Pdf

It is gratifying that this textbook is still sufficiently popular to warrant a third edition. I have used the opportunity to improve and enlarge the book. When the second edition was prepared, only two pages on algebraic geometry codes were added. These have now been removed and replaced by a relatively long chapter on this subject. Although it is still only an introduction, the chapter requires more mathematical background of the reader than the remainder of this book. One of the very interesting recent developments concerns binary codes defined by using codes over the alphabet 7l.4• There is so much interest in this area that a chapter on the essentials was added. Knowledge of this chapter will allow the reader to study recent literature on 7l. -codes. 4 Furthermore, some material has been added that appeared in my Springer Lec ture Notes 201, but was not included in earlier editions of this book, e. g. Generalized Reed-Solomon Codes and Generalized Reed-Muller Codes. In Chapter 2, a section on "Coding Gain" ( the engineer's justification for using error-correcting codes) was added. For the author, preparing this third edition was a most welcome return to mathematics after seven years of administration. For valuable discussions on the new material, I thank C.P.l.M.Baggen, I. M.Duursma, H.D.L.Hollmann, H. C. A. van Tilborg, and R. M. Wilson. A special word of thanks to R. A. Pellikaan for his assistance with Chapter 10.

Author : Jurgen Bierbrauer
Publisher : CRC Press
Page : 512 pages
File Size : 46,6 Mb
Release : 2016-10-14
Category : Computers
ISBN : 9781482299816

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Introduction to Coding Theory by Jurgen Bierbrauer Pdf

This book is designed to be usable as a textbook for an undergraduate course or for an advanced graduate course in coding theory as well as a reference for researchers in discrete mathematics, engineering and theoretical computer science. This second edition has three parts: an elementary introduction to coding, theory and applications of codes, and algebraic curves. The latter part presents a brief introduction to the theory of algebraic curves and its most important applications to coding theory.

Author : Ron Roth
Publisher : Cambridge University Press
Page : 592 pages
File Size : 55,9 Mb
Release : 2006-02-23
Category : Computers
ISBN : 0521845041

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Introduction to Coding Theory by Ron Roth Pdf

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Author : J. H. van Lint
Publisher : Springer Science & Business Media
Page : 181 pages
File Size : 44,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662079980

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Introduction to Coding Theory by J. H. van Lint Pdf

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).

Author : Raymond Hill
Publisher : Oxford University Press
Page : 268 pages
File Size : 51,5 Mb
Release : 1986
Category : Computers
ISBN : 0198538030

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A First Course in Coding Theory by Raymond Hill Pdf

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.

Author : Steven Roman
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 54,7 Mb
Release : 1996-11-26
Category : Computers
ISBN : 0387947043

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Introduction to Coding and Information Theory by Steven Roman Pdf

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.

Author : San Ling,Chaoping Xing
Publisher : Cambridge University Press
Page : 238 pages
File Size : 55,9 Mb
Release : 2004-02-12
Category : Computers
ISBN : 0521529239

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Coding Theory by San Ling,Chaoping Xing Pdf

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.

Author : Stefan M. Moser,Po-Ning Chen
Publisher : Cambridge University Press
Page : 207 pages
File Size : 44,9 Mb
Release : 2012-01-26
Category : Computers
ISBN : 9781107015838

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A Student's Guide to Coding and Information Theory by Stefan M. Moser,Po-Ning Chen Pdf

This is a concise, easy-to-read guide, introducing beginners to coding theory and information theory.

Author : Gareth A. Jones,J.Mary Jones
Publisher : Springer Science & Business Media
Page : 217 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447103615

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Information and Coding Theory by Gareth A. Jones,J.Mary Jones Pdf

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.

Author : Steven Roman
Publisher : Springer Science & Business Media
Page : 520 pages
File Size : 45,9 Mb
Release : 1992-06-04
Category : Mathematics
ISBN : 0387978127

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Coding and Information Theory by Steven Roman Pdf

This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and modern algebra, but is otherwise self- contained. The intent is to describe as clearly as possible the fundamental issues involved in these subjects, rather than covering all aspects in an encyclopedic fashion. The first quarter of the book is devoted to information theory, including a proof of Shannon's famous Noisy Coding Theorem. The remainder of the book is devoted to coding theory and is independent of the information theory portion of the book. After a brief discussion of general families of codes, the author discusses linear codes (including the Hamming, Golary, the Reed-Muller codes), finite fields, and cyclic codes (including the BCH, Reed-Solomon, Justesen, Goppa, and Quadratic Residue codes). An appendix reviews relevant topics from modern algebra.

Author : Lekh R. Vermani
Publisher : Routledge
Page : 256 pages
File Size : 43,8 Mb
Release : 2022-01-27
Category : Mathematics
ISBN : 9781351452908

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Elements of Algebraic Coding Theory by Lekh R. Vermani Pdf

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.

Author : Ian F. Blake,Ronald C. Mullin
Publisher : Academic Press
Page : 368 pages
File Size : 53,8 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483260594

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The Mathematical Theory of Coding by Ian F. Blake,Ronald C. Mullin Pdf

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.

Author : Andre Neubauer,Jurgen Freudenberger,Volker Kuhn
Publisher : John Wiley & Sons
Page : 362 pages
File Size : 44,6 Mb
Release : 2007-10-22
Category : Technology & Engineering
ISBN : 0470519827

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Coding Theory by Andre Neubauer,Jurgen Freudenberger,Volker Kuhn Pdf

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

Author : W. Cary Huffman,Vera Pless
Publisher : Cambridge University Press
Page : 668 pages
File Size : 42,5 Mb
Release : 2010-02-18
Category : Technology & Engineering
ISBN : 9781139439503

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Fundamentals of Error-Correcting Codes by W. Cary Huffman,Vera Pless Pdf

Fundamentals of Error Correcting Codes is an in-depth introduction to coding theory from both an engineering and mathematical viewpoint. As well as covering classical topics, there is much coverage of techniques which could only be found in specialist journals and book publications. Numerous exercises and examples and an accessible writing style make this a lucid and effective introduction to coding theory for advanced undergraduate and graduate students, researchers and engineers, whether approaching the subject from a mathematical, engineering or computer science background.

Author : Trappe
Publisher : Pearson Education India
Page : 596 pages
File Size : 54,7 Mb
Release : 2007-09
Category : Electronic
ISBN : 8131714764

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Introduction to Cryptography With Coding Theory by Trappe Pdf