| 强度m的对称正交表构造的新结果 |
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| 引用本文： | 赵芳,马玉磊,董乐,杜蛟. 强度m的对称正交表构造的新结果[J]. 河南师范大学学报(自然科学版), 2016, 0(4): 34-38 |
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| 作者姓名： | 赵芳 马玉磊 董乐 杜蛟 |
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| 作者单位： | 新乡学院计算机与信息工程学院;河南师范大学数学与信息科学学院;河南师范大学大数据统计分析与优化控制河南省工程实验室 |
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| 基金项目： | 国家自然科学基金(U1404601;61402154;11571094;11501181) |
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| 摘 要： | 对于给定的一个对称正交表K1,通过对正交表的行进行分析,提出了一个构造正交分划{K1,K2,…,Kqk}的方法,得到的这个正交分划可以直接用于高强度对称正交表的构造,在一定条件下还讨论了正交分划中正交表的强度.在此基础上,对已有的高强度对称正交表的递归构造方法做了进一步推广,给出了一个新的对称正交表的构造方法.最后,还给出了一些实例.
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| 关 键 词： | 对称正交表 递归构造 Qn的正交分划 平衡性 |
New Results on Constructions of Symmetrical Orthogonal Arrays of Strength m |
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| ZHAO Fang;MA Yulei;DONG Le;DU Jiao. New Results on Constructions of Symmetrical Orthogonal Arrays of Strength m[J]. Journal of Henan Normal University(Natural Science), 2016, 0(4): 34-38 |
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| Authors: | ZHAO Fang MA Yulei DONG Le DU Jiao |
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| Affiliation: | ZHAO Fang;MA Yulei;DONG Le;DU Jiao;College of Computer and Engineering,Xinxiang University;College of Mathematics and Information Science,Henan Normal University;Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control,Henan Normal University; |
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| Abstract: | In this paper,a method is proposed to construct orthogonal partition of space Qn for given orthogonal array K1,and K1 is belong to the orthogonal partition{K1,K2,…,Kqk }constructed according to this method.The orthogonal partitions constructed in our method can be used to construct symmetrical orthogonal arrays of strength m.Based on these results,the recursive construction method is generalized,and a new method to construct symmetric orthogonal arrays is presented.Lastly,some examples are given to demonstrate our methods. |
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| Keywords: | symmetric orthogonal array recursive construction orthogonal partition of space Qn balancedness |
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