|
|
|
Coding theory, sometimes called Algebraic Coding Theory, deals with the design of Error-Correcting Codes for the reliable transmission of information across noisy channels. It makes use of classical and modern algebraic techniques involving Finite Fields, Group Theory, and polynomial algebra. It has connections with other areas of Discrete Mathematics, especially Number Theory and the theory of experimental designs.
See also Encoding, Error-Correcting Code, Galois Field, Hadamard Matrix
References
Alexander, B. ``At the Dawn of the Theory of Codes.'' Math. Intel. 15, 20-26, 1993.
Golomb, S. W.; Peile, R. E.; and Scholtz, R. A.
Basic Concepts in Information Theory and Coding: The Adventures of Secret Agent 00111. New York: Plenum, 1994.
Humphreys, O. F. and Prest, M. Y. Numbers, Groups, and Codes.
New York: Cambridge University Press, 1990.
MacWilliams, F. J. and Sloane, N. J. A. The Theory of Error-Correcting Codes. New York: Elsevier, 1978.
Roman, S. Coding and Information Theory. New York: Springer-Verlag, 1992.
Coding Theory