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TitleDecoding linear error-correcting codes up to half the minimum distance with Gr\"obner bases.
Author(s) Stanislav Bulygin, Ruud Pellikaan
TypeBook, Chapter in Book, Conference Proceeding
AbstractIn this short note we show how one can decode linear error-correcting codes up to half the minimum distance via solving a system of polynomial equations over a finite field. We also explicitly present the reduced Gröbner basis for the system considered.
ISBN978-3-540-93805-7/hbk; 978-3-5
URL http://link.springer.com/chapter/10.1007%2F978-3-540-93806-4_21
LanguageEnglish
Pages361--365
PublisherBerlin: Springer
Year2009
Edition0
Translation No
Refereed No
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