New ( n , r ) - arcs in PG ( 2 , 17 ) and PG ( 2 , 19 ) ∗
نویسنده
چکیده
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. In this paper new (95, 7)-arc, (183, 12)-arc, (205, 13)-arc in PG(2,17) and (243, 14)-arc, (264, 15)-arc in PG(2,19) are constructed.
منابع مشابه
New Large (n, r)-arcs in PG(2, q)
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 we present a new $(184,12)$-arc in PG$(2,17),$ a new $(244,14)$-arc and a new $(267,15$)-arc in $PG(2,19).$
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