Error-Correcting Codes and Finite Fields (Oxford Applied Mathematics and Computing Science Series)

Pretzel, Oliver

ISBN 10: 0198596782 / ISBN 13: 9780198596783

Published by Oxford University Press, USA, 1992

About this Item

Seller Inventory # 62V69_49_0198596782

Bibliographic Details

• Title: Error-Correcting Codes and Finite Fields (Oxford Applied Mathematics and Computing Science Series)
• Publisher: Oxford University Press, USA
• Publication Date: 1992
• Language: English
• ISBN 10: 0198596782
• ISBN 13: 9780198596783
• Binding: Hardcover
• Condition: new

About this title

Synopsis

This book provides the reader with all the tools necessary to implement modern error-processing techniques. 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 (but rigorous) treatment of the geometry of curves. The book is intended for the advanced instruction of engineers and computer scientists.

About the Author

Oliver Pretzel, Senior Lecturer, Department of Mathematics, Imperial College of Science and Technology, London.