Foundations of Coding: Theory and Applications of Error-Correcting Codes with an Introduction to Cryptography and Information Theory / Edition 1

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Overview

Although devoted to constructions of good codes for error control, secrecy or data compression, the emphasis is on the first direction. Introduces a number of important classes of error-detecting and error-correcting codes as well as their decoding methods. Background material on modern algebra is presented where required. The role of error-correcting codes in modern cryptography is treated as are data compression and other topics related to information theory. The definition-theorem proof style used in mathematics texts is employed through the book but formalism is avoided wherever possible.

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Editorial Reviews

Booknews
A practical handbook for applied mathematicians, electrical engineers, and computer scientists on the construction of codes, specifically for error control, but also useful in secrecy and data compression. Surveys a number of classes of codes and their decoding methods, presents the necessary background algebra, and examines the role of error-correcting codes in modern cryptography. Annotation c. Book News, Inc., Portland, OR booknews.com
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Product Details

  • ISBN-13: 9780471621874
  • Publisher: Wiley
  • Publication date: 4/8/1991
  • Edition number: 1
  • Pages: 352
  • Product dimensions: 6.34 (w) x 9.59 (h) x 0.92 (d)

Table of Contents

CODING AND INFORMATION THEORY.
Coding and Decoding.
Huffman Codes.
Data Compression and Entropy.
Reliable Communication Through Unreliable Channels.
ERROR-CORRECTING CODES.
Binary Linear Codes.
Groups and Standard Arrays.
Linear Algebra.
Linear Codes.
Reed-Muller Codes: Weak Codes with Easy Decoding.
Cyclic Codes.
Polynomials and Finite Fields.
BCH Codes: Strong Codes Correcting Multiple Errors.
Fast Decoding of BCH Codes.
Convolutional Codes.
CRYPTOGRAPHY.
Cryptography.
Appendices.
Bibliography.
List of Symbols.
Index.
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