Affine cartesian codes

被引：0
|
作者：
Hiram H. López
Carlos Rentería-Márquez
Rafael H. Villarreal
机构：
[1] Centro de Investigación y de Estudios Avanzados del IPN,Departamento de Matemáticas
[2] Instituto Politécnico Nacional,Departamento de Matemáticas, Escuela Superior de Física y Matemáticas
来源：
Designs, Codes and Cryptography | 2014年 / 71卷
关键词：
Evaluation codes; Minimum distance; Complete intersections; Vanishing ideals; Degree; Regularity; Hilbert function; Algebraic invariants; 13P25; 14G50; 94B27; 11T71;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We compute the basic parameters (dimension, length, minimum distance) of affine evaluation codes defined on a cartesian product of finite sets. Given a sequence of positive integers, we construct an evaluation code, over a degenerate torus, with prescribed parameters of a certain type. As an application of our results, we recover the formulas for the minimum distance of various families of evaluation codes.
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页码：5 / 19
页数：14
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