Coding Theory

P. M. Cohn
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P. M. Cohn: University College London, Department of Mathematics

Chapter 10 in Further Algebra and Applications, 2003, pp 371-393 from Springer

Abstract: Abstract The theory of error-correcting codes deals with the design of codes which will detect, and if possible correct, any errors that occur in transmission. Codes should be distinguished from cyphers, which form the subject of cryptography. The subject of codes dates from Claude Shannon’s classic paper on information theory (Shannon [1948D and Section 10.1 provides a sketch of the background, leading up to the statement (but no proof) of Shannon’s theorem. Most of the codes dealt with are block codes which are described in Section 10.2, with a more detailed account of special cases in Sections 10.3-10.5; much of this is an application of the theory of finite fields (see BA, Section 7.8).

Keywords: Generator Matrix; Linear Code; Block Code; Parity Check; Code Word (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-1-4471-0039-3_10

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