Introduction to coding theory

Includes index

Includes bibliography and (p. 527-552) references.

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

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.