Different Aspects of Coding Theory
About this Title
Robert Calderbank, American Tel & Tel Bell Laboratories, Florham Park, NJ, Editor
Publication: Proceedings of Symposia in Applied Mathematics
Publication Year: 1995; Volume 50
ISBNs: 978-0-8218-0379-0 (print); 978-0-8218-9265-7 (online)
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.
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.
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 [MR 1368635]
- Brian Marcus, Ron M. Roth and Paul H. Siegel – Modulation codes for digital data storage [MR 1368636]
- Brian Marcus – Symbolic dynamics and connections to coding theory, automata theory and system theory [MR 1368637]
- Dave Forney, Brian Marcus, N. T. Sindhushayana and Mitchell Trott – Multilingual dictionary: system theory, coding theory, symbolic dynamics, and automata theory [MR 1368638]
- Henning Stichtenoth – Algebraic geometric codes [MR 1368639]
- William M. Kantor – Codes, quadratic forms and finite geometries [MR 1368640]
- R. H. Hardin and N. J. A. Sloane – Codes (spherical) and designs (experimental) [MR 1368641]
- Joan Feigenbaum – The use of coding theory in computational complexity [MR 1368642]