TY - JOUR T1 - Bounds on $m_r(2,29)$ TT - JF - IJMSI JO - IJMSI VL - 14 IS - 2 UR - http://ijmsi.ir/article-1-1020-en.html Y1 - 2019 SP - 127 EP - 138 KW - Finite projective plane KW - $(n KW - r)$-Arc in a projective plane KW - $(l KW - t)$-Blocking set in a projective plane KW - Maximum size of an $(n KW - r)$-arc N2 - 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. M3 ER -