A Tutorial on AG Code Decoding from a Gröbner Basis Perspective

Douglas A. Leonard ()
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Douglas A. Leonard: Auburn University, Department of Mathematics and Statistics

A chapter in Gröbner Bases, Coding, and Cryptography, 2009, pp 187-196 from Springer

Abstract: Abstract This chapter presents material about syndrome decoding and list decoding of AG codes. The syndrome decoding of AG codes is viewed in terms of Sakata’s generalization of the Berlekamp–Massey algorithm and Feng and Rao’s majority voting scheme. Their list-decoding is viewed following Sudan’s ideas and some variations.

Keywords: Pole Order; Solomon Code; Majority Vote Scheme; List Decode; Basis Perspective (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-93806-4_11

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DOI: 10.1007/978-3-540-93806-4_11

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