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Error-correcting Codes

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Information and Coding Theory

Abstract

Our aim now is to construct codes C with good transmission-rates R and low error-probabilities PrE, as promised by Shannon’s Fundamental Theorem (§5.4). This part of the subject goes under the name of Coding Theory (or Error-correcting Codes), as opposed to Information Theory, which covers the topics considered earlier. The construction of such codes is quite a difficult task, and we will concentrate on a few simple examples to illustrate some of the methods used to construct more advanced codes.

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© 2000 Springer-Verlag London

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Jones, G.A., Mary Jones, J. (2000). Error-correcting Codes. In: Information and Coding Theory. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-0361-5_6

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  • DOI: https://doi.org/10.1007/978-1-4471-0361-5_6

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-622-6

  • Online ISBN: 978-1-4471-0361-5

  • eBook Packages: Springer Book Archive

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