Volume 14, Issue 2 (10-2019)
IJMSI 2019, 14(2): 127-138 |
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Daskalov R, Metodieva E. Bounds on $m_r(2,29)$. IJMSI 2019; 14 (2) :127-138
URL: http://ijmsi.ir/article-1-1020-en.html
URL: http://ijmsi.ir/article-1-1020-en.html
Abstract:
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.
Keywords: Finite projective plane, $(n, r)$-Arc in a projective plane, $(l, t)$-Blocking set in a projective plane, Maximum size of an $(n, r)$-arc
Type of Study: Research paper |
Subject:
General
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