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math.AC2011★ 11 cited
Parameterized affine codes
Hiram H. Lopez, Eliseo Sarmiento, Maria Vaz Pinto +1
Let K be a finite field and let X* be an affine algebraic toric set parameterized by monomials. We give an algebraic method, using Groebner bases, to compute the length and the dim…
math.AC2011★ 5 cited
On the vanishing ideal of an algebraic toric set and its parameterized linear codes
Eliseo Sarmiento, Maria Vaz Pinto, Rafael H. Villarreal
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 estimat…