We propose a new type of upper bound for the smallest size t_{2}(2,q) of a complete arc in the projective plane PG(2,q). The upper bound has the form t_{2}(2,q)<sqrt{q} ln^{c(q)} q, where c(q) is a decreasing function of q.
New type of estimate for the smallest size of complete arcs in PG(2,q)
BARTOLI, DANIELE;MARCUGINI, Stefano;PAMBIANCO, Fernanda
2012
Abstract
We propose a new type of upper bound for the smallest size t_{2}(2,q) of a complete arc in the projective plane PG(2,q). The upper bound has the form t_{2}(2,q)File in questo prodotto:
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