Different aspects of coding theory : American Mathematical Society short course, January 2-3, 1995, San Francisco, California
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Bibliographic Information
Different aspects of coding theory : American Mathematical Society short course, January 2-3, 1995, San Francisco, California
(Proceedings of symposia in applied mathematics, v. 50)
American Mathematical Society, c1995
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
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. This book features: a unique combination of mathematical theory and engineering practice; much diversity and variety among chapters, thus offering broad appeal; and, topics relevant to mathematicians, statisticians, engineers, and computer scientists. Contributions are by recognized scholars.
Table of Contents
Coding theory as discrete applied mathematics by A. R. Calderbank Modulation codes for digital data storage by B. Marcus, R. M. Roth, and P. H. Siegel Symbolic dynamics and connections to coding theory, automata theory, and system theory by B. Marcus Multilingual dictionary by D. Fomey, B. Marcus, N. T. Sindhushayana, and M. Trott Algebraic geometric codes by H. Stichtenoth Codes, quadratic forms and finite geometries by W. M. Kantor Codes (spherical) and designs (experimental) by R. H. Hardin and N. J. A. Sloane The use of coding theory in computational complexity by J. Feigenbaum Index.
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