Nonexistence of a [gq(5,d),5,d]q code for 3q4-4q3-2q+1 ≤ d ≤ 3q4-4q3-q

被引：3

作者：

Cheon, E. J. ^{[1
]}

Kato, T. ^{[2
]}

Kim, S. J. ^{[1
,3
]}

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：

DISCRETE MATHEMATICS | 2008年 / 308卷 / 14期

关键词：

Griesmer bound; linear code; projective space;

D O I：

10.1016/j.disc.2007.08.033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we shall prove that there is no [3q(4) - q(3) - q(2) - 3q - 1, 5, 3q(4) - 4q(3) - 2q + 1](q). code over the finite field F-q for q >= 11. Thus, we conclude the nonexistence of a [g(q) (5, d), 5, d](q) code for 3q(4) - 4q(3) - 2q + 1 <= d <= 3q(4) - 4q(3) - q. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：3082 / 3089

页数：8

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