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Coding theory is a practical branch of mathematics concerned with the reliable transmission of information over communication channels. It includes theory and practical algorithms for error detection and correction, and it plays an important role in modern communication systems that require reliable and efficient transmission of information. An error correcting code encodes the data by adding a certain amount of redundancy to the message. This enables the original message to be recovered if a small number of errors have occurred.
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A Mathematical Theory of Communication. Claude Shannon. Bell System Technical Journal, vol. 27, pp. 379–423. 1948.
Coding Theory. Algorithms, Architectures and Applications. André Neubauer, Jürgen Freunderberger and Volker Kühn. John Wiley & Sons. 2007.
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