New Large (n, r)-arcs in PG(2, q)

نویسنده

  • R. Daskalov Department of Mathematics and Informatics, Technical University of Gabrovo, Bulgaria
چکیده مقاله:

An $(n, r)$-arc is a set of $n$ points of a projective plane such that some $r$, but no $r+1$ of them, are collinear. The maximum size of an $(n, r)$-arc in  $PG(2, q)$ is denoted by $m_r(2,q)$.  In this paper we present  a new $(184,12)$-arc in PG$(2,17),$  a new $(244,14)$-arc and a new $(267,15$)-arc in $PG(2,19).$

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عنوان ژورنال

دوره 17  شماره 1

صفحات  125- 133

تاریخ انتشار 2022-04

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