Different Aspects of Coding Theory

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More About This Textbook

Overview

This book connects coding theory with actual applications in consumer electronics and with other areas of mathematics. Different Aspects of Coding Theory covers in detail the mathematical foundations of digital data storage and makes connections to symbolic dynamics, linear systems, and finite automata. It also explores the use of algebraic geometry within coding theory and examines links with finite geometry, statistics, and theoretical computer science. Features: A unique combination of mathematical theory and engineering practice. Much diversity and variety among chapters, thus offering broad appeal. Topics relevant to mathematicians, statisticians, engineers, and computer scientists. Contributions by recognized scholars.

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Editorial Reviews

Booknews
Eight papers from the January 1995 course connecting coding theory with applications in consumer electronics and with other areas of math. The titles are: coding theory as discrete applied mathematics; modulation codes for digital data storage; symbolic dynamics and connections to coding theory, automata theory and system theory; multilingual dictionary; algebraic geometric codes; codes, quadratic forms and finite geometries; codes (spherical) and designs (experimental); and the use of coding theory in computational complexity. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Preface
Coding Theory as Discrete Applied Mathematics 1
Modulation Codes for Digital Data Storage 41
Symbolic Dynamics and Connections to Coding Theory, Automata Theory and System Theory 95
Multilingual Dictionary 109
Algebraic Geometric Codes 139
Codes, Quadratic Forms and Finite Geometries 153
Codes (Spherical) and Designs (Experimental) 179
The Use of Coding Theory in Computational Complexity 207
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