Blocking sets in PG(2, p) for small p, and partial spreads in PG(3,7)

Abstract

We find all minimal blocking sets of size 3 ð p þ 1Þ in PGð2; pÞ for p < 41. There is one new sporadic example, for p ¼ 13. We find all maximal partial spreads of size 45 in PGð3; 7Þ.