Nonexistence of linear codes meeting the Griesmer bound

被引：1

作者：

Ma, Wen ^{[1
]}

Luo, Jinquan ^{[1
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China

来源：

DISCRETE MATHEMATICS | 2022年 / 345卷 / 04期

关键词：

Griesmer bound; Minihyper; Spectrum; Arcs; MINIMUM LENGTH; Q);

D O I：

10.1016/j.disc.2021.112744

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the nonexistence of [g(q)(5, d), 5, d](q) codes for q(4) - 3q(2) - q + 1 <= d <= q(4) - 3q(2) and q(4) - 2q(2) - 3q + 3 <= d <= q(4) - 2q(2) - 2q with q >= 5. We also prove the nonexistence of [g(q)(4,d),4,d](q) codes for 2q(3) - rq(2) - 3q +1 <= d <= 2q(3) - rq(2) with 3 <= r <= q-1 2 and q >= 7. (c) 2021 Elsevier B.V. All rights reserved.

引用

页数：13

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