Error-correcting Codes and Finite Fields by Oliver Pretzel

Error-correcting Codes and Finite Fields by Oliver Pretzel

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Zusammenfassung

Starting with the elementary ideas of parity check codes, this work takes the reader via BCH and Reed-Solomon codes all the way to the geometric Goppa codes. The necessary mathematics is developed in parallel with the applications.

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Error-correcting Codes and Finite Fields by Oliver Pretzel

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.
SKU Nicht verfügbar
ISBN 13 9780198596783
Titel Error-correcting Codes and Finite Fields
Autor Oliver Pretzel
Buchzustand Nicht verfügbar
Bindungsart Hardback
Verlag Oxford University Press
Erscheinungsjahr 1992-09-01
Seitenanzahl 411
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar