Error-correcting Codes and Finite Fields (Oxford Applied Mathematics & Computing Science S.) - Hardcover

Pretzel, Oliver

Hardcover

ISBN 10: 0198596782 ISBN 13: 9780198596783

Publisher: Clarendon Press, 1992

Synopsis

This book provides the reader with all the tools necessary to implement modern error-processing schemes. It assumes only a basic knowledge of linear algebra and develops the mathematical theory in parallel with the codes. Central to the text are worked examples which motivate and explain the theory. The book is in four parts. The first introduces the basic ideas of coding theory. The second and third parts cover the theory of finite fields and give a detailed treatment of BCH and Reed Solomon codes. These parts are linked by their use of Euclid's algorithm as a central technique. The fourth part is devoted to Goppa codes, both classical and geometric, concluding with the Skorobogatov-Vladut error processor. A special feature of this part is a simplified treatment of the geometry of curves.

About this title

Review

"Covers the standard course in the theory of finite fields and error-correcting codes, and contains a comprehensive introduction to algebraic-geometric codes." --Mathematical Reviews
"Covers the standard course in the theory of finite fields and error-correcting codes, and contains a comprehensive introduction to algebraic-geometric codes." --Mathematical Reviews
"Covers the standard course in the theory of finite fields and error-correcting codes, and contains a comprehensive introduction to algebraic-geometric codes." --Mathematical Reviews

Edition details

• Publisher: Clarendon Press
• Publication date: 1992
• Language: English
• ISBN 10: 0198596782
• ISBN 13: 9780198596783
• Binding: Hardcover
• Number of pages: 411