Error-Correcting Codes and Finite Fields (Paperback)

Oliver Pretzel

ISBN 10: 0192690671 / ISBN 13: 9780192690678

Published by Oxford University Press, Oxford, 1996

About this Item

Paperback. This textbook is a reprint of Chapters 1-20 of the original hardback edition. It provides the reader with the tools necessary to implement modern error-processing schemes. The material on algebraic geometry and geometric Goppa codes, which is not part of a standard introductory course on coding theory, has been omitted.The book 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 thirdcover the theory of finite fields and give a detailed treatment of BCH and Reed-Solomon codes. These parts are linked by their uses of Eulid's algorithm as a central technique. The fourth part treats classical Goppa codes. This student edition is an unabridged reprint of Chapters 1-20 of the original hardback book. The text starts with the elementary ideas of parity check codes and goes on to explain the theory of finite fields, BCH and Reed-Solomon codes. All the necessary mathematics is developed in parallel with the applications. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780192690678

Bibliographic Details

Title: Error-Correcting Codes and Finite Fields (...

Publisher: Oxford University Press, Oxford

Publication Date: 1996

Binding: Paperback

Condition: new

About this title

Synopsis:

This book provides engineers and computer scientists 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 first part introduces the basic ideas of coding theory. The second and third cover the theory of finite fields and give a detailed treatment of BCH and Reed-Solomon codes. The fourth part is devoted to Goppa codes, both classical and geometric, concluding with the Skorobogatov-Vladut error processor. A special feature is a simplified (but rigorous) treatment of the geometry of curves.

About the Author:

O. L. R. Pretzel is at Imperial College of Science and Technology, London.