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.

Readership

Discrete mathematicians, coding theorists, finite geometers, statisticians, engineers interested in signal processing, computer scientists.

Table of Contents

• A. R. Calderbank -- Coding theory as discrete applied mathematics
• B. Marcus, R. M. Roth, and P. H. Siegel -- Modulation codes for digital data storage
• B. Marcus -- Symbolic dynamics and connections to coding theory, automata theory, and system theory
• D. Forney, B. Marcus, N. T. Sindhushayana, and M. Trott -- Multilingual dictionary
• H. Stichtenoth -- Algebraic geometric codes
• W. M. Kantor -- Codes, quadratic forms and finite geometries
• R. H. Hardin and N. J. A. Sloane -- Codes (spherical) and designs (experimental)
• J. Feigenbaum -- The use of coding theory in computational complexity
• Index