Minimum distance functions of complete intersections
نویسندگان
چکیده
منابع مشابه
Footprint functions of complete intersections
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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We study the r-th generalized minimum distance function (gmd function for short) and the corresponding generalized footprint function of a graded ideal in a polynomial ring over a field. If X is a set of projective points over a finite field and I(X) is its vanishing ideal, we show that the gmd function and the Vasconcelos function of I(X) are equal to the r-th generalized Hamming weight of the...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2018
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498818502043