Orthogonal arrays obtained by generalized difference matrices with g levels |
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| Authors: | ZHANG YingShan LI WeiGuo MAO ShiSong & ZHENG ZhongGuo School of Finance Statistics East China Normal University Shanghai China School of Sciences Beijing University of Aeronautics Astronautics Beijing Lab of Mathematics Its Application Peking University Beijing |
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| Institution: | ZHANG YingShan1,3,LI WeiGuo2,MAO ShiSong1 & ZHENG ZhongGuo3 1School of Finance and Statistics,East China Normal University,Shanghai 200241,China,2School of Sciences,Beijing University of Aeronautics and Astronautics,Beijing 100083,3Lab of Mathematics and Its Application,Peking University,Beijing 100871 |
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| Abstract: | Nowadays orthogonal arrays play important roles in statistics, computer science, coding theory and cryptography. The usual difference matrices are essential for the construction for many mixed orthogonal arrays. But there are also orthogonal arrays which cannot be obtained by the usual difference matrices, such as mixed orthogonal arrays of run size 60. In order to construct these mixed orthogonal arrays, a class of special so-called generalized difference matrices were discovered by Zhang (1989,1990,1993,2... |
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| Keywords: | mixed-level orthogonal arrays generalized difference matrices projection matrices permutation matrices |
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