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一批正交表的更新 被引量:3

An Updating of Some Orthogonal Arrays
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摘要 以正交表L36(91216)和L36(31228)和投影矩阵正交分解构造正交表的方法为例,研究了由L36(91216)和L36(31228)引起的108次正交表的更新和144次正交表的更新. With some new orthogonal arrays such as L36(91216) and L36(31228) and construction methods of the orthogonal arrays by using decomposition of orthogonal projection matrices as examples,we can construct new orthogonal arrays of runs 72,108 and 144.
出处 《河南大学学报(自然科学版)》 CAS 北大核心 2011年第1期10-12,共3页 Journal of Henan University:Natural Science
基金 河南杰出青年计划资助项目(084100510013)
关键词 正交表构造 影矩阵的正交分解 交表的更新 construction of orthogonal array orthogonal decomposition of projection matrix update of orthogonal array
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参考文献5

  • 1Xu H. An algorithm for constructing orthogonal and nearly-orthogonal arrays with mixed levels and small runs[J]. Technometrics, 2002, 44(4): 356-368.
  • 2Kuhfeld W F. Orthogonal Arrays[EB/OL]. [2010]. http://support, sas. com/techsup/technote/ts723, html.
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同被引文献22

  • 1曹桃云,陈敏琼.基于距离协方差的二维列联表的独立性检验[J].系统科学与数学,2020(9):1687-1700. 被引量:5
  • 2张宏培.关于单向有序R×C表的统计分析[J].统计与信息论坛,1999,14(4):43-46. 被引量:3
  • 3刘金龙,许宗泽.利用Cartesian认证码构造安全认证码[J].电子与信息学报,2007,29(8):2026-2028. 被引量:1
  • 4Zhang Y S, Pang S Q, Wang Y P. Orthogonal Arrays Obtained by the Generalized Hadamard Product [J], Discrete Math,2001, 238:151-170.
  • 5Ma C X, Fang K T and Lin D K. A new approach in constrcting orthogonal and nearly orthogonal arrays[J]. Metrika, 2000, 50: 255-268.
  • 6Xu H. An algorithm for constructing orthogonal and nearly orthogonal arrays with mixed levels and small runs[J], Technometrics, 2002, 44(4): 356-368.
  • 7Zhang Y S, Lu Y Q, and Pang S Q. Orthogonal arrays obtained by orthogonal decomposition of projection matrices[J]. Statistica Sinica, 1999, 9:595-604.
  • 8Pang S Q, Zhang Y S. Orthogonal arrays of size 108 with six-level columns[J]. SUT Journal of Mathematics, 2004, 40(1): 1-12.
  • 9茆诗松,周纪芗,陈颖.试验设计[M].北京:中国统计出版社,2012.
  • 10刘金龙,许宗泽.CARTESIAN认证码的原理及构造[J].电子与信息学报,2008,30(1):93-95. 被引量:3

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