Blocking sets of nonsecant lines to a conic in PG(2,q), q odd

In a previous paper 1, all point sets of minimum size in PG(2,q), blocking all external lines to a given irreducible conic ${\cal C}$, have been determined for every odd q. Here we obtain a similar classification for those point sets of minimum size, which meet every external and tangent line to ${\cal C}$. © 2004 Wiley Periodicals, Inc.