Introduction To Coding Theory

Author : J.H. van Lint
Publisher : Springer Science & Business Media
ISBN 13 : 3642585752
Total Pages : 244 pages
Book Rating : 4.53/5 ( download)

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Download or read book Introduction to Coding Theory written by J.H. van Lint and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ron Roth
Publisher : Cambridge University Press
ISBN 13 : 9780521845045
Total Pages : 592 pages
Book Rating : 4.41/5 ( download)

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Download or read book Introduction to Coding Theory written by Ron Roth and published by Cambridge University Press. This book was released on 2006-02-23 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2006 book introduces the theoretical foundations of error-correcting codes for senior-undergraduate to graduate students.

Author : J. H. van Lint
Publisher : Springer Science & Business Media
ISBN 13 : 3662079984
Total Pages : 181 pages
Book Rating : 4.80/5 ( download)

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Download or read book Introduction to Coding Theory written by J. H. van Lint and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Jurgen Bierbrauer
Publisher : CRC Press
ISBN 13 : 148229981X
Total Pages : 512 pages
Book Rating : 4.16/5 ( download)

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Download or read book Introduction to Coding Theory written by Jurgen Bierbrauer and published by CRC Press. This book was released on 2016-10-14 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Raymond Hill
Publisher : Oxford University Press
ISBN 13 : 9780198538035
Total Pages : 268 pages
Book Rating : 4.30/5 ( download)

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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.

Author : Steven Roman
Publisher : Springer Science & Business Media
ISBN 13 : 9780387947044
Total Pages : 344 pages
Book Rating : 4.43/5 ( download)

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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.

Author : Steven Roman
Publisher : Springer Science & Business Media
ISBN 13 : 9780387978123
Total Pages : 520 pages
Book Rating : 4.27/5 ( download)

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Download or read book Coding and Information Theory written by Steven Roman and published by Springer Science & Business Media. This book was released on 1992-06-04 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Stefan M. Moser
Publisher : Cambridge University Press
ISBN 13 : 1107015839
Total Pages : 207 pages
Book Rating : 4.38/5 ( download)

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Download or read book A Student's Guide to Coding and Information Theory written by Stefan M. Moser and published by Cambridge University Press. This book was released on 2012-01-26 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise, easy-to-read guide, introducing beginners to coding theory and information theory.

Author : Lekh R. Vermani
Publisher : Routledge
ISBN 13 : 1351452908
Total Pages : 256 pages
Book Rating : 4.08/5 ( download)

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Download or read book Elements of Algebraic Coding Theory written by Lekh R. Vermani and published by Routledge. This book was released on 2022-01-27 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : J. H.Van Lint
Publisher :
ISBN 13 : 9783662180990
Total Pages : 152 pages
Book Rating : 4.95/5 ( download)

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Download or read book Coding Theory written by J. H.Van Lint and published by . This book was released on 2014-01-15 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: