A simple method for constructing orthogonal arrays by the Kronecker sum (Q863029)

The authors propose a new general approch to constructing orthogonal arrays, the Kronecker sum. In general, the procedure of constructing asymmetrical orthogonal arrays in their theory has been partitioned mainly into five parties: orthogonal-array addition, subtraction, multiplication, division and replacement. In this article the technique, namely generalized Kronecker product, is further explained and extended to construct some new asymmetrical orthogonal arrays by using the orthogonal decompositions of projection matrices. Section 2 contains the basic concepts of main theorems. Some new mixed level orthogonal arrays are constructed in Section 3.