Toward the determination of the minimum distance of two-point codes on a Hermitian curve

被引：28

作者：

Homma, M ^{[1
]}

Kim, SJ

机构：

[1] Kanagawa Univ, Dept Math, Yokohama, Kanagawa 2218686, Japan

[2] Gyeongsang Natl Univ, Dept Math, Chinju 660701, South Korea

[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2005年 / 37卷 / 01期

基金：

日本学术振兴会;

关键词：

geometric Goppa code; Hermitian curve; two-point code; minimum distance;

D O I：

10.1007/s10623-004-3807-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This is a first step toward the determination of the parameters of two-point codes on a Hermitian curve. We describe the dimension of such codes and determine the minimum distance of some two-point codes.

引用

页码：111 / 132

页数：22

共 11 条

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