Codes and Their Parameters

Serguei A. Stepanov
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Serguei A. Stepanov: Bilkent University

Chapter Chapter 1 in Codes on Algebraic Curves, 1999, pp 3-23 from Springer

Abstract: Abstract In this chapter the basic notions of the theory of error-correcting codes are introduced: the Hamming distance, parameters of codes, linear codes, encoding and decoding procedures, spectrum and duality, the MacWilliams identity and Krawtchouk polynomials.

Keywords: Finite Field; Linear Code; Primitive Element; Irreducible Polynomial; Monic Polynomial (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-4785-3_1

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DOI: 10.1007/978-1-4615-4785-3_1

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