Minimal Linear Codes Constructed from Sunflowers

被引：0
|
作者：
Wu, Xia [1 ]
Lu, Wei [1 ]
Alcaraz, Raul
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
来源：
ENTROPY | 2023年 / 25卷 / 12期
基金：
中国国家自然科学基金;
关键词：
linear code; minimal code; sunflower;
D O I：
10.3390/e25121669
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Sunflower in coding theory is a class of important subspace codes and can be used to construct linear codes. In this paper, we study the minimality of linear codes over Fq constructed from sunflowers of size s in all cases. For any sunflower, the corresponding linear code is minimal if s >= q+1, and not minimal if 2 <= s <= 3 <= q. In the case where 3<s <= q, for some sunflowers, the corresponding linear codes are minimal, whereas for some other sunflowers, the corresponding linear codes are not minimal.
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页数：12
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