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Error-Correcting Codes and Finite Fields. Student Edition (Oxford Applied Mathematics and Computing Science Series) - Softcover

Pretzel, Oliver

 
9780192690678: Error-Correcting Codes and Finite Fields. Student Edition (Oxford Applied Mathematics and Computing Science Series)

Synopsis

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 (but rigorous) treatment of the geometry of curves.

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Review


"Covers the standard course in the theory of finite fields and error-correcting codes, and contains a comprehensive introduction to algebraic-geometric codes." --Mathematical Reviews


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