Error-Correcting Codes and Finite Fields

Error-Correcting Codes and Finite Fields

2.75 (4 ratings by Goodreads)
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Description

This textbook is a reprint of Chapters 1-20 of the original hardback edition. It provides the reader with the tools necessary to implement modern error-processing schemes. The material on algebraic geometry and geometric Goppa codes, which is not part of a standard introductory course on coding theory, has been omitted. The book 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 cover the theory of finite fields and give a detailed treatment of BCH and Reed-Solomon codes. These parts are linked by their uses of Eulid's algorithm as a central technique. The fourth part treats classical Goppa codes.
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Product details

  • Paperback | 356 pages
  • 152.4 x 231.14 x 20.32mm | 181.44g
  • Oxford University Press
  • Clarendon Press
  • Oxford, United Kingdom
  • English
  • Abridged
  • Student ed.
  • line figures, tables
  • 0192690671
  • 9780192690678

Review quote

"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 "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 "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 "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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Table of contents

PART 1: BASIC CODING THEORY; PART 2: FINITE FIELDS; PART 3: BCH CODES AND OTHER POLYNOMIAL CODES
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Rating details

4 ratings
2.75 out of 5 stars
5 25% (1)
4 0% (0)
3 25% (1)
2 25% (1)
1 25% (1)
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