Introduction to Coding Theory

Ron M. Roth

586 pages, parution le 20/02/2006

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Résumé

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 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.

Contains classical introductory material and classical research material as well as more recent developments
Accessible to computer scientists, electrical engineers and mathematicians
Contains over 340 exercises (many with hints) and over 100 worked examples

Sommaire

Introduction
Linear codes
Introduction to finite fields
Bounds on the parameters of codes
Reed-Solomon codes and related codes
Decoding of Reed-Solomon codes
Structure of finite fields
Cyclic codes
List decoding of Reed-Solomon codes
Codes in the Lee metric
MDS codes
Concatenated codes
Graph codes
Trellis codes and convolutional codes
Appendix A. Basics in modern algebra

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Ron M. Roth
Parution	20/02/2006
Nb. de pages	586
Format	18 x 25,5
Couverture	Relié
Poids	1305g
Intérieur	Noir et Blanc
EAN13	9780521845045
ISBN13	978-0-521-84504-5