The minimum distance of parameterized codes on projective tori
Eliseo Sarmiento, Maria Vaz Pinto, Rafael H. Villarreal · arXiv (Cornell University) · 2010
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.