List decoding of a class of affine variety codes
Résumé
Consider a polynomial F in m variables and a fi nite point ensemble S = S1 X...X Sm. When given the leading monomial of F with respect to a lexicographic ordering we derive improved information on the possible number of zeros of F of multiplicity at least r from S. We then use this information to design a list decoding algorithm for a large class of affine variety codes.
Origine : Fichiers produits par l'(les) auteur(s)
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