Classification of the smallest minimal 1-saturating sets in PG(2,q),q⩽23

In this work we summarize some recent results to be included in a forthcoming paper [D. Bartoli, S. Marcugini, A. Milani and F. Pambianco, On the minimum size of complete arcs and minimal saturating sets in PG(2,q),q small, preprint.]. The classification of all the minimal 1-saturating sets in PG(2,9) and PG(2,11) and the classification of minimal 1-saturating sets of the smallest size in PG(2,q),16⩽q⩽23, are given. These results have been found using a computer-based exhaustive search that exploits projective equivalence properties.