A construction for orthorgonal arrays with strength t⩾3 Original Research Article

For any t and k with 2⩽t⩽k, there is a number e0=e0 (t, k) such that, for any positive number v and any prime power q there is an orthogonal array O(t,k;v,qe) for all e⩾e0. This is accomplished via a group-divisible design construction that converts arrays of large index to arrays of index unity; this is a generalization of a construction of Wilson in the case t=2.