Minimum distance functions of complete intersections
JOURNAL OF ALGEBRA AND ITS APPLICATIONS(2018)
摘要
We study the minimum distance function of a complete intersection graded ideal in a polynomial ring with coefficients in a field. For graded ideals of dimension one, whose initial ideal is a complete intersection, we use the footprint function to give a sharp lower bound for the minimum distance function. Then we show some applications to coding theory.
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关键词
Reed-Muller-type code,minimum distance,vanishing ideal,degree,Hilbert function
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