Concerned with successfully transmitting data through a noisy channel, coding theory can be applied to electronic engineering and communications. Based on the authors' extensive teaching experience, this text provides a completely modern and accessible course on the subject. It includes sections on linear programming and decoding methods essential for contemporary mathematics. Numerous examples and exercises make the volume ideal for students and instructors.

1. Introduction

2. Error detection, correction and decoding

3. Finite fields

4. Linear codes

5. Bounds in coding theory

6. Constructions of linear codes

7. Cyclic codes

8. Some special cyclic codes

9. Goppa codes.