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Minimal Linear Codes Constructed from Sunflowers
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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.
Title: Minimal Linear Codes Constructed from Sunflowers
Description:
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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