Fundamentals of Error-Correcting Codes

Book Description Fundamentals of Error Correcting Codes is an in-depth introduction to coding theory from both an engineering and mathematical viewpoint. It reviews classical topics, and gives much coverage of recent techniques which could previously only be found in specialist publications. Numerous exercises and examples and an accessible writing style make this a lucid and effective introduction to coding theory for advanced undergraduate and graduate students, researchers and engineers - whether approaching the subject from a mathematical, engineering or computer science background.

Content

1. Basic concepts of linear codes
2. Bounds on the size of codes
3. Finite fields
4. Cyclic codes
5. BCH and Reed–Solomon codes
6. Duadic codes
7. Weight distributions
8. Designs
9. Self-dual codes
10. Some favorite self-dual codes
11. Covering radius and cosets
12. Codes over Z4
13. Codes from algebraic geometry
14. Convolutional codes
15. Soft decision and iterative decoding