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.
Coding Theory
See also
Encoding, Error-Correcting Code, Finite Field, Hadamard MatrixExplore with Wolfram|Alpha
References
Alexander, B. "At the Dawn of the Theory of Codes." Math. Intel. 15, 20-26, 1993.Berlekamp, E. R. Algebraic Coding Theory, rev. ed. New York: McGraw-Hill, 1968.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.Hill, R. First Course in Coding Theory. Oxford, England: Oxford University Press, 1986.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.Stepanov, S. A. Codes on Algebraic Curves. New York: Kluwer, 1999.Vermani, L. R. Elements of Algebraic Coding Theory. Boca Raton, FL: CRC Press, 1996.van Lint, J. H. An Introduction to Coding Theory, 2nd ed. New York: Springer-Verlag, 1992.Weisstein, E. W. "Books about Coding Theory." http://www.ericweisstein.com/encyclopedias/books/CodingTheory.html.Referenced on Wolfram|Alpha
Coding TheoryCite this as:
Weisstein, Eric W. "Coding Theory." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CodingTheory.html