List decoding of a class of affine variety codes

Details List decoding of a class of affine variety codes List decoding of a class of affine variety codes

2011-01-26

arxiv.org/abs/1101.4999v1

Computer Science

Information Theory

11 pages, 5 tables

Scientific paper

Consider a polynomial $F$ in $m$ variables and a finite point ensemble $S=S_1 \times ... \times S_m$. 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.

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