@article{71140ee764ae4366b8d2b3d76571b07c,
title = "The minimum distance of parameterized codes on projective tori",
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 = "Complete intersections, Degree, Evaluation codes, Hilbert function, Minimum distance, Parameterized codes, Regularity",
author = "Eliseo Sarmiento and {Vaz Pinto}, Maria and Villarreal, {Rafael H.}",
note = "Funding Information: The first author was partially supported by CONACyT. The second author is a member of the Center for Mathematical Analysis, Geometry and Dynamical Systems. The third author was partially supported by CONACyT grant 49251-F and SNI.",
year = "2011",
month = nov,
doi = "10.1007/s00200-011-0148-2",
language = "Ingl{\'e}s",
volume = "22",
pages = "249--264",
journal = "Applicable Algebra in Engineering, Communications and Computing",
issn = "0938-1279",
number = "4",
}