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 -