A new method of constructing 3-level second-order designs using incomplete block designs with unequal block sizes is suggested to any number of factors. The method gives orthogonally blocked designs with small run sizes, high D-efficiencies and rotatability measures.

Optimal designs under general dependence structures are usually difficult to specify theoretically or find algorithmically. However, they can sometimes be found for a specific dependence structure and a particular parameter value. In this paper, a class of generalized binary block designs with t...