论文标题

$(t \ mod {q})$ - arcs的几何形状

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

论文作者

Kurz, Sascha, Landjev, Ivan, Pavese, Francesco, Rousseva, Assia

论文摘要

在本文中,我们在$ \ operatotorname {pg}(3,5)$ 128、143和168的$ \ operatotorname {pg}(3,5)$中给出了三个强大的非运转$(3 \ mod {5})$ - 弧的几何结构$ \ operatorName {pg}(r,q)$,$ t =(q+1)/2 $ for All $ r \ ge3 $和所有奇数Prime Powers $ Q $。

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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