Further contributions to nonisomorphic two level orthogonal arrays

In this paper we construct all possible orthogonal arrays OA(n,q,2,t) with 12⩽n⩽24 runs and 3⩽q⩽6 factors, with 28⩽n⩽40 runs and 3⩽q⩽5 factors as well as those with 44⩽n⩽64 runs and 3⩽q⩽4 factors and present those that are nonisomorphic. A discussion on the novelty and the superiority of many of the designs found in terms of isomorphism, generalized minimum aberration and estimation capacity has also been made.