| 一类9n2次组合混合水平正交表的构造 |
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| 引用本文： | 庞善起,刘三阳,闫海锋. 一类9n2次组合混合水平正交表的构造[J]. 应用数学学报, 2005, 28(2): 368-378 |
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| 作者姓名： | 庞善起 刘三阳 闫海锋 |
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| 作者单位： | 1. 河南师范大学数学系,新乡,453007
2. 西安电子科技大学应用数学系,西安,710071 |
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| 基金项目： | 河南省教育厅自然科学基金(30011100003)，河南省高校青年骨干教师计划(2003)，河南哲自然科学基金(0411011100) |
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| 摘 要： | 本文利用正交表和投影矩阵的正交分解之间的关系,给出了一类9n2次组合混合水平正交表的构造方法,作为这种方法的应用,我们构造了一些新的具有较大非素数幂水平的144次混合水平正交表,并且这些正交表具有较高的饱和率.
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| 关 键 词： | 混合水平正交表 投影矩阵 置换矩阵 |
| 修稿时间： | 2002-12-27 |
CONSTRUCTION OF A CLASS OF MIXED-LEVEL ORTHOGONAL ARRAYS OF RUN SIZE 9n2 |
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| Pang Shanqi,Liu Sanyang,YAN HAIFENG. CONSTRUCTION OF A CLASS OF MIXED-LEVEL ORTHOGONAL ARRAYS OF RUN SIZE 9n2[J]. Acta Mathematicae Applicatae Sinica, 2005, 28(2): 368-378 |
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| Authors: | Pang Shanqi Liu Sanyang YAN HAIFENG |
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| Abstract: | By exploring the relationship between orthogonal arrays and orthogonal decompositions of projection matrices, we present a method for constructing a class of mixed-level orthogonal arrays. As an application of this method, we construct some new mixed-level orthogonal arrays having 144 runs and factors with a large non-prime power number of levels. Also, these arrays have high percent saturations. |
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| Keywords: | mixed-level orthogonal array projection matrix permutation matrix |
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