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TitleUnique decoding of plane AG codes revisited.
Author(s) Kyu-Hwan Lee
TypeArticle in Journal
AbstractWe reformulate an interpolation-based unique decoding algorithm of AG codes, using the theory of Grbner bases of modules on the coordinate ring of the base curve. The conceptual description of the reformulated algorithm lets us better understand the majority voting procedure, which is central in the interpolation-based unique decoding. Moreover the smaller Grbner bases imply smaller space and time complexity of the algorithm.
Keywords Algebraic Geometry codes; interpolation decoding; Groebner bases;
ISSN1598-5857; 2234-8417/e
URL http://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=E1MCA9_2014_v32n1_2_83
LanguageEnglish
JournalJ. Appl. Math. Inform.
Volume32
Number1-2
Pages83--98
PublisherKorean Society for Computational and Applied Mathematics, Asan, ChungNam
Year2014
Edition0
Translation No
Refereed No
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