RT - Journal Article T1 - Bounds on $m_r(2,29)$ JF - IJMSI YR - 2019 JO - IJMSI VO - 14 IS - 2 UR - http://ijmsi.ir/article-1-1020-en.html SP - 127 EP - 138 K1 - Finite projective plane K1 - $(n K1 - r)$-Arc in a projective plane K1 - $(l K1 - t)$-Blocking set in a projective plane K1 - Maximum size of an $(n K1 - r)$-arc AB - 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 thirteen new $(n, r)$-arc in PG(2,,29) and a table with the best known lower and upper bounds on $m_r(2,29)$ are presented. The results are obtained by non-exhaustive local computer search. LA eng UL http://ijmsi.ir/article-1-1020-en.html M3 ER -