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