Coding Theory A First Course [Paperback]

Modern introduction to theory of coding and decoding with many exercises and examples.Coding theory is concerned with successfully transmitting data through a noisy channel. It's an extremely popular subject that finds applications in electronic engineering and communications. This book is based on the authors extensive teaching experience and provides a completely modern and accessible course. It includes sections on linear programming and decoding methods that are essential for contemporary mathematics but not covered well in existing textbooks. There are numerous examples and exercises that make this book ideal from the point of view of both students and instructors.Coding theory is concerned with successfully transmitting data through a noisy channel. It's an extremely popular subject that finds applications in electronic engineering and communications. This book is based on the authors extensive teaching experience and provides a completely modern and accessible course. It includes sections on linear programming and decoding methods that are essential for contemporary mathematics but not covered well in existing textbooks. There are numerous examples and exercises that make this book ideal from the point of view of both students and instructors.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. This book is well written and highly recommenlƒ