On the vanishing ideal of an algebraic toric set and its parameterized linear codes

Details On the vanishing ideal of an algebraic toric set and its parameterized linear codes On the vanishing ideal of an algebraic toric set and its parameterized linear codes

2011-07-21

arxiv.org/abs/1107.4284v2

Mathematics

Commutative Algebra

J. Algebra Appl., to appear

Scientific paper

Let K be a finite field and let X be a subset of a projective space, over the field K, which is parameterized by monomials arising from the edges of a clutter. We show some estimates for the degree-complexity, with respect to the revlex order, of the vanishing ideal I(X) of X. If the clutter is uniform, we classify the complete intersection property of I(X) using linear algebra. We show an upper bound for the minimum distance of certain parameterized linear codes along with certain estimates for the algebraic invariants of I(X).

Affiliated with

Also associated with

No associations

Rating

On the vanishing ideal of an algebraic toric set and its parameterized linear codes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the vanishing ideal of an algebraic toric set and its parameterized linear codes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the vanishing ideal of an algebraic toric set and its parameterized linear codes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-688059