New bounds for mr(2,37) and tr(2,37) in PG(2,37)

Abstract

In this paper we find the nearest complete (n,r)-arcs to the maximum bound and the minimum sizes for mr(2,37) where and tr(2,37) where .Also we show that not exists (1236,34)-arc and some other arcs in PG(2,37).

Keywords

• complete (n
• r)-arcs
• maximum bound mr(2
• minimum bound tr(2
• q)
• pg(2
• 37)