Classification of minimal blocking sets in PG(2,9)

被引：3

作者：

Botteldoorn, Arne ^{[1
]}

Coolsaet, Kris ^{[1
]}

Fack, Veerle ^{[1
]}

机构：

[1] Univ Ghent, Dept Appl Math Comp Sci & Stat, Krijgslaan 281-S9, B-9000 Ghent, Belgium

来源：

JOURNAL OF GEOMETRY | 2024年 / 115卷 / 01期

关键词：

Blocking set; Computer classification; Desarguesian projective plane; Semioval; SEMIOVALS;

D O I：

10.1007/s00022-023-00702-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A full classification (up to equivalence) of all minimal blocking sets in PG(2, 9) 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 (geometric) descriptions are given. Some of these results can also be generalised to Desarguesian projective planes of higher order. We also give a complete list of all blocking semiovals in PG(2, 9) (up to equivalence).

引用

页数：27

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