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;
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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.
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页码：249 / 264
页数：15
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