New good large (n,r)-arcs in PG(2,29) and PG(2,31)
New good large (n,r)-arcs in PG(2,29) and PG(2,31)
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 maximumsize of an $(n, r)$-arc in $\PG(2,q)$ is denoted by $m_r(2,q)$. In this article a $(477, 18)$-arc, a $(596,22)$-arc, a $(697,25)$-arc in PG(2,29) and a …