| Volume 7, Number 2, 2017, Pages 728-744 DOI：10.11948/2017046 |
| Orthogonal arrays constructed by generalized Kronecker product |
| Chun Luo,Yingshan Zhang,Xueping Chen |
| Keywords:mixed-level orthogonal arrays, generalized Kronecker product, difference matrices, projection matrices, permutation matrices |
| Abstract: |
| In this paper, we propose a new general approach to construct asymmetrical 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. |
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