On the size of minimal blocking sets of Q(4;q), forq= 5,7

Abstract

Let Q(2n + 2;q) denote the non-singular parabolic quadric in the projective geometry PG(2n+ 2;q). We describe the implementation in GAP of an algorithm to study the problem of the minimal number of points of a minimal blocking set, different from an ovoid, of Q(4;q), forq= 5; 7.