We extend the results of Polverino (1999, Discrete Math., 208/209, 469-476; 2000, Des. Codes Cryptogr., 20, 319-324) on small minimal blocking sets in P G (2, p(3)), p prime, p : 7, to small minimal blocking sets in PG(2, q(3)), q = p(h), p prime, p : 7, with exponent e greater than or equal to h. We characterize these blocking sets completely as being blocking sets of Redei-type. (C) 2002 Academic Press.