TY - JOUR
JF - IJMSI
JO - IJMSI
VL - 14
IS - 2
PY - 2019
Y1 - 2019/10/01
TI - Bounds on $m_r(2,29)$
TT -
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.
SP - 127
EP - 138
AU - Daskalov, R.
AU - Metodieva, E.
AD - Professor
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
UR - http://ijmsi.ir/article-1-1020-en.html
ER -