This note provides some new second order rotatable designs. The method of construction used is an extension of one introduced by Bose and Draper (1959). Further extensions of the method are briefly suggested.
Norman R. Draper. Agnes M. Herzberg. "Further Second Order Rotatable Designs." Ann. Math. Statist. 39 (6) 1995 - 2001, December, 1968. https://doi.org/10.1214/aoms/1177698027