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Foundations of Coding: Theory and Applications of Error-Correcting Codes with an Introduction to Cryptography and Information Theoryby J. Adamek
Synopses & Reviews
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.
Book News Annotation:
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)
Includes bibliographical references (p. 327-329) and index.
Table of Contents
CODING AND INFORMATION THEORY.
Coding and Decoding.
Data Compression and Entropy.
Reliable Communication Through Unreliable Channels.
Binary Linear Codes.
Groups and Standard Arrays.
Reed-Muller Codes: Weak Codes with Easy Decoding.
Polynomials and Finite Fields.
BCH Codes: Strong Codes Correcting Multiple Errors.
Fast Decoding of BCH Codes.
List of Symbols.
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