Toric complete intersection codes

被引：9

作者：

Soprunov, Ivan ^{[1
]}

机构：

[1] Cleveland State Univ, Dept Math, Cleveland, OH 44115 USA

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2013年 / 50卷

关键词：

Evaluation codes; Global residue; Toric variety; Newton polytope; CAYLEY-BACHARACH; SURFACE CODES; RESIDUES; DISTANCE; GEOMETRY;

D O I：

10.1016/j.jsc.2012.08.006

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we construct evaluation codes on zero-dimensional complete intersections in toric varieties and give lower bounds for their minimum distance. This generalizes the results of Gold-Little-Schenck and Ballico-Fontanari who considered evaluation codes on complete intersections in the projective space. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：374 / 385

页数：12

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