編碼理論,有時也稱為代數編碼理論,主要研究用於在噪聲通道中可靠傳輸資訊的糾錯碼的設計。它利用經典和現代代數技術,涉及有限域、群論和多項式代數。它與離散數學的其他領域,特別是數論和實驗設計理論相關。
編碼理論
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編碼, 糾錯碼, 有限域, 哈達瑪矩陣使用 探索
參考文獻
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 中引用
編碼理論引用本文為
Weisstein, Eric W. "編碼理論。" 來自 --一個 Wolfram 網路資源. https://mathworld.tw/CodingTheory.html