Optimal fractional factorial plans using minihypers

Dey and Suen [2002. Optimal fractional factorial plans for main-effects and specified two-factor interactions: a projective geometric approach. Ann. Statist. 30(5), 1512-1523.] obtained optimal fractional factorial plans for estimating mean, all main effects and specified two-factor interactions using finite projective geometry. In this paper we obtain optimal fractional factorial plans for estimating mean, all main effects, specified two factor interactions and specified three-factor interactions using the concept of minihyper in finite projective geometry.