In the projective planes PG(2,q), more than 800 new small complete arcs are obtained for q<= 10111 and for q in G where G is a set of about 40 values in the range 11003- 44017; also, 2^{18} in G. This implies new upper bounds on the smallest size t_{2}(2,q) of a complete arc in PG(2,q).
New upper bounds on the smallest size of a complete arc in the plane PG(2,q)
BARTOLI, DANIELE;FAINA, Giorgio;MARCUGINI, Stefano;PAMBIANCO, Fernanda
2012
Abstract
In the projective planes PG(2,q), more than 800 new small complete arcs are obtained for q<= 10111 and for q in G where G is a set of about 40 values in the range 11003- 44017; also, 2^{18} in G. This implies new upper bounds on the smallest size t_{2}(2,q) of a complete arc in PG(2,q).File in questo prodotto:
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