Classification of minimal blocking sets in small Desarguesian projective planes
Classification of minimal blocking sets in small Desarguesian projective planes
复制标题
小型笛沙格射影平面中最小阻塞集的分类
DOI：
10.1002/jcd.21842
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发表时间：
2022
影响因子：
0.7
通讯作者：
V. Fack
中科院分区：
文献类型：
--
作者：
K. Coolsaet;Arne Botteldoorn;V. Fack
利用计算机给出了阶≤ 8的Desklesian射影平面上所有极小块集的完全分类（直到等价）。根据集合的大小和自同构群的阶，将由此产生的最小阻塞集的数量列表。对于具有较大自同构群的极小块集，给出了明确的描述。其中一些结果也可以推广到高阶的Desklesian射影平面。
A full classification (up to equivalence) of all minimal blocking sets in Desarguesian projective planes of order ≤ 8 was obtained by computer. The resulting numbers of minimal blocking sets are tabulated according to size of the set and order of the automorphism group. For the minimal blocking sets with the larger automorphism groups explicit descriptions are given. Some of these results can also be generalised to Desarguesian projective planes of higher order.