On the minimum length of some linear codes of dimension 5

被引：10
作者：
Cheon, EJ [1 ]
Kato, T
Kim, SJ
机构：
[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
[2] Yamaguchi Univ, Dept Math Sci, Yamaguchi 7538512, Japan
[3] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2005年 / 37卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Griesmer bound; linear code; projective space;
D O I：
10.1007/s10623-004-4034-9
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
IlIn this paper, we shall prove that the minimum length n(q) (5, d) is equal to g(q) (5, d) + 1 for q(4) - 2q(2) - 2(q) + 1 <= d <= q(4) - 2q(2) - q and 2q(4) - 2q(3) - q(2)- 2(q) + 1 <= d <= 2q(4) - 2q(3) - q(2) - q, where g(q) (5, d) means the Griesmer bound Sigma(i=0)(4) [d/q(i)].
引用
收藏
页码：421 / 434
页数：14
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