Error-Correcting Codes and Finite Fields

Klappentext 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. Zusammenfassung This edition is an unabridged reprint of chapters one to 20 of the original hardback edition. It starts with the elementary ideas of parity check codes and goes on to explain the theory of finite fields, BCH and Reed-Solomon codes. The mathematics is developed in parallel with the applications.

Produktdetails

• Autoren: Oliver Pretzel, Oliver (Department of Mathematics Pretzel
• Verlag: Oxford University Press
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 27.06.1996
• EAN: 9780192690678
• ISBN: 978-0-19-269067-8
• Seiten: 356
• Serie: Oxford Applied Mathematics and Computing Science Series
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Sonstiges; Sozialwissenschaften, Recht,Wirtschaft > Medien, Kommunikation > Buchhandel, Bibliothekswesen