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The Geometry of $(t\mod{q})$-arcs

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arxiv 2211.16793 v1 pith:5G5ATDRQ submitted 2022-11-30 math.CO

Sascha Kurz , Ivan Landjev , Francesco Pavese , Assia Rousseva This is my paper · ORCID
classification math.CO
keywords arcsnon-liftedoperatornamestrongconstructconstructionfamilygeometric
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abstract

In this paper, we give a geometric construction of the three strong non-lifted $(3\mod{5})$-arcs in $\operatorname{PG}(3,5)$ of respective sizes 128, 143, and 168, and construct an infinite family of non-lifted, strong $(t\mod{q})$-arcs in $\operatorname{PG}(r,q)$ with $t=(q+1)/2$ for all $r\ge3$ and all odd prime powers $q$.

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