The minimum distance of parameterized codes on projective tori
Commutative Algebra
2011-11-22 v3 Information Theory
Algebraic Geometry
math.IT
Abstract
Let X be a subset of a projective space, over a finite field K, which is parameterized by the monomials arising from the edges of a clutter. Let I(X) be the vanishing ideal of X. It is shown that I(X) is a complete intersection if and only if X is a projective torus. In this case we determine the minimum distance of any parameterized linear code arising from X.
Keywords
Cite
@article{arxiv.1009.4966,
title = {The minimum distance of parameterized codes on projective tori},
author = {Eliseo Sarmiento and Maria Vaz Pinto and Rafael H. Villarreal},
journal= {arXiv preprint arXiv:1009.4966},
year = {2011}
}
Comments
Appl. Algebra Engrg. Comm. Comput., to appear