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Introduction to Coding Theory Synopsis

Error-correcting codes constitute one of the key ingredients in achieving the high degree of reliability required in modern data transmission and storage systems. This 2006 book introduces the reader to the theoretical foundations of error-correcting codes, with an emphasis on Reed-Solomon codes and their derivative codes. After reviewing linear codes and finite fields, the author describes Reed-Solomon codes and various decoding algorithms. Cyclic codes are presented, as are MDS codes, graph codes, and codes in the Lee metric. Concatenated, trellis, and convolutional codes are also discussed in detail. Homework exercises introduce additional concepts such as Reed-Muller codes, and burst error correction. The end-of-chapter notes often deal with algorithmic issues, such as the time complexity of computational problems. While mathematical rigor is maintained, the text is designed to be accessible to a broad readership, including students of computer science, electrical engineering, and mathematics, from senior-undergraduate to graduate level.

Introduction to Coding Theory Press Reviews

'... a most welcome addition. ... well tested as a course text. Features include, the extensive collections of interesting and nontrivial problems at the end of chapters, the clear and insightful explanations of some of the deeper aspects of the subject and the extensive, interesting and useful historical notes on the development of the subject. This is an excellent volume that will reward the participants in any course that uses it with a deep understanding and appreciation for the subject.' Ian F, Blake, University of Toronto 'This book introduces the reader to the theoretical foundations of error-correctiong codes ... While mathematical rigor is maintained, the text is designed to be accessible to a broad readership, including students of computer science, electrical engineering, and mathematics, from senior undergraduate to graduate level.' L'enseignement mathematique 'The mathematical style of this book is clear, concise and scholarly with a pleasing layout. There are numerous exercises, many with hints and many introducing further new concepts. Altogether this is an excellent book covering a wide range of topics in this area, and including an extensive bibliography.' Publication of the International Statistical Institute 'The reader will find many well-chosen examples throughout the book and will be challenged by over 300 exercises, many of which have hints. Some of the exercises develop concepts that are not contained within the main body of the text. For example, the very first problem of the book, filling up more than an entire page of the text, introduces the AWGN channel and requires the reader to check the crossover probability of a memoryless binary symmetric channel. Zentralblatt MATH [T]his volume is a most welcome addition. It has many features that are distinctive and it is clear from the approach and treatment of the key topics that it has been well tested as a course text. These features include the extensive collections of interesting and nontrivial problems at the end of chapters, the clear and insightful explanations of some of the deeper aspects of the subject and the extensive, interesting, and useful historical notes on the development of the subject...This is an excellent volume that will reward the participants in any course that uses it with a deep understanding and appreciation for the subject. Ian F. Blake, University of Toronto The book is a nicely written, comprehensive introduction to coding theory. I really appreciate the fact that the volume seems intended not just as a textbook for a first course in coding theory, but rather as a book that can be used in several courses at different levels, and as a useful resource for the reader. Moreover, even though the book is intended for undergraduate students in several fields, the mathematical rigor has been kept intact. Alvar Lozano-Robledo, H.C. Wang Assistant Professor, Cornell University, MAA Reviews, MathDL Altogether this is an excellent book covering a wide range of topics in this area, and including an extensive bibliography. L.V. White, Imperial College of Science, Technology and Medicine, ISI Short Book Reviews This book is a very good textbook on error correcting coding, containing both classical and advanced research material. It is written in an exact mathematical style and contains many exercises and examples. The book can be recommended for students of computer science and electrical engineering at the advanced undergraduate and graduate levels as well as all professionals working on digital communication systems. Andrzej R. Pach, IEEE Communications Magazine The mathematical style of this book is clear, concise and scholarly with a pleasing layout. There are numerous exercises, many with hints and many introducing further new concepts. Altogether this is an excellent book covering a wide range of topics in this area, and including an extensive bibliography. International Statistics Institute, Short Book Reviews Online

Book Information

ISBN: 9780521845045
Publication date: 23rd February 2006
Author: Ron (Technion - Israel Institute of Technology, Haifa) Roth
Publisher: Cambridge University Press
Format: Hardback
Pagination: 580 pages
Categories: Computer networking & communications, Electrical engineering,

About Ron (Technion - Israel Institute of Technology, Haifa) Roth

Ron M. Roth is Professor of Computer Science at the Technion, Israel Institute of Technology.

More About Ron (Technion - Israel Institute of Technology, Haifa) Roth

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