编码理论，有时也称为代数编码理论，主要研究用于在噪声信道中可靠传输信息的纠错码的设计。它利用经典和现代代数技术，涉及有限域、群论和多项式代数。它与离散数学的其他领域，特别是数论和实验设计理论相关。
编码理论
另请参阅
编码, 纠错码, 有限域, 哈达玛矩阵使用 Wolfram|Alpha 探索
参考文献
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.在 Wolfram|Alpha 中引用
编码理论引用本文为
Weisstein, Eric W. "编码理论。" 来自 MathWorld--一个 Wolfram 网络资源. https://mathworld.net.cn/CodingTheory.html