Abstract. A new construction method for blocking sets in ${\rm PG}(2,q^2)$ is presented. We prove that the class of linear blocking sets introduced recently by Lunardon, Polito, and Polverino is closed under our construction. Various examples of blocking sets with 0,1,2 Rédei lines are also obtained by our method.

AMS Subject Classification (1991): 51E21

Received May 26, 1998, and in revised form March 11, 1999. (Registered under 2714/2009.)