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.
"synopsis" may belong to another edition of this title.
"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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Condition: New. 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. Series: Oxford Applied Mathematics & Computing Science Series. Num Pages: 356 pages, line figures, tables. BIC Classification: GPF; PDE; TBJ. Category: (U) Tertiary Education (US: College). Dimension: 232 x 155 x 24. Weight in Grams: 514. . 2002. Student ed. paperback. . . . . Seller Inventory # V9780192690678
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