Description: |
Let K be a finite field and let X be a subset of a projective space over the field K, which is parameterized by the monomials arising from the s edges of a clutter. If S=K[t_1,.., t_s] and I(X) is the vanishing ideal of X, we describe when I(X) is a complete intersection, and in that case we determine some algebraic invariants of S/I(X) and find the minimum distance of the parameterized linear code associated to X.
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