A construction for orthogonal designs with three variables

We show how orthogonal designs OD(48p²t;16p²t, 16p²t,16p²t) can be constructed from an Hadamard matrix of order 4p and an OD(4t;t,t,t,t). This allows us to assert that OD(48p²t; 16p²t,16p²t,16p²t) exist for all t,p ≤ 102 except possibly for tє{67,71,73,77,79,83,86,89,91,97}. These designs are new.