The minimum distance of parameterized codes on projective tori

被引：0

作者：

Eliseo Sarmiento

Maria Vaz Pinto

Rafael H. Villarreal

机构：

[1] Centro de Investigación y de Estudios Avanzados del IPN,Departamento de Matemáticas

[2] Instituto Superior Tecnico,Departamento de Matemática

[3] Universidade Técnica de Lisboa,undefined

来源：

Applicable Algebra in Engineering, Communication and Computing | 2011年 / 22卷

关键词：

Complete intersections; Evaluation codes; Parameterized codes; Minimum distance; Degree; Regularity; Hilbert function; Primary 13P25; Secondary 14G50; 14G15; 11T71; 94B27; 94B05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：249 / 264

页数：15

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