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arXiv · 2211.16793

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

Sascha Kurz·Ivan Landjev·Francesco Pavese·Assia Rousseva
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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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Sascha Kurz, Ivan Landjev, Francesco Pavese, Assia Rousseva. 2022-11-30. The Geometry of $(t\mod{q})$-arcs. https://doi.org/10.1007/s10623-023-01290-w

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