Introduction to Coding Theory / Edition 1

Introduction to Coding Theory / Edition 1

by Ron Roth
ISBN-10:
0521845041
ISBN-13:
9780521845045
Pub. Date:
02/28/2006
Publisher:
Cambridge University Press
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Overview

Introduction to Coding Theory / Edition 1

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, Ron Roth 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.

Product Details

ISBN-13: 9780521845045
Publisher: Cambridge University Press
Publication date: 02/28/2006
Edition description: New Edition
Pages: 578
Product dimensions: 6.85(w) x 9.72(h) x 1.26(d)

Table of Contents

Preface; 1. Introduction; 2. Linear codes; 3. Introduction to finite fields; 4. Bounds on the parameters of codes; 5. Reed-Solomon codes and related codes; 6. Decoding of Reed-Solomon codes; 7. Structure of finite fields; 8. Cyclic codes; 9. List decoding of Reed-Solomon codes; 10. Codes in the Lee metric; 11. MDS codes; 12. Concatenated codes; 13. Graph codes; 14. Trellis codes and convolutional codes; Appendix A. Basics in modern algebra; Bibliography; List of symbols; Index.

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