ENGLISH

Error-Correcting Codes and Finite Fields

Book information

Publisher
Oxford University Press, USA
Year
1992
ISBN
9780198596783, 0198596782
LCC
QA268 .P74 1992
Language
english
Format
DJVU
Filesize
14 MB (14728704 bytes)
Series
Oxford Applied Mathematics and Computing Science Series
Pages
416\205
Topic
Education
Time added
2014-10-05 02:30:00

Description

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.

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