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arXiv · 1009.4966

The minimum distance of parameterized codes on projective tori

Eliseo Sarmiento·Maria Vaz Pinto·Rafael H. Villarreal
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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.

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Eliseo Sarmiento, Maria Vaz Pinto, Rafael H. Villarreal. 2011-07-21. The minimum distance of parameterized codes on projective tori. https://arxiv.org/abs/1009.4966

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