Orthogonal Arrays Obtained by Generalized Kronecker

In this paper, we propose a new general approach to construct asym-metrical orthogonal arrays, namely generalized Kronecker product. The operation is not usual Kronecker product in the theory of matrices but it is interesting since the interaction of two columns of asymmetrical orthogonal arrays can be often written out by the generalized Kronecker product. As an application of the method, some new mixed-level orthogonal arrays of run sizes 72 and 96 are constructed