| 一种4t阶正交拉丁方的构造方法 |
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| 引用本文： | 万禧. 一种4t阶正交拉丁方的构造方法[J]. 黑龙江科技学院学报, 2001, 11(3): 52-54,57 |
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| 作者姓名： | 万禧 |
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| 作者单位： | 淮南工业学院土木系 |
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| 摘 要： | 一种4t阶正交拉丁方的图表构造法被首次发现。本文的4t阶正交拉丁方构造的基本思路是：运用表将编码矩阵K重新排列成正交拉方。实践表明：用本文方法可构造t=2^m(m-任意正整数）的任意4t阶正交拉丁方。介绍了8，16阶正交拉丁方的构造过程及构造结果。
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| 关 键 词： | 构造方法 图表构造法 4t阶正交拉丁方 编码矩阵 |
| 文章编号： | 1671-0118(2001)03-0052-04 |
A Method of Constructing Mutually Orthogonal Latin Square of Order 4t |
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| CHOU Wanxi. A Method of Constructing Mutually Orthogonal Latin Square of Order 4t[J]. Journal of Heilongjiang Institute of Science and Technology, 2001, 11(3): 52-54,57 |
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| Authors: | CHOU Wanxi |
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| Abstract: | A graphic method of constructing mutually orthogonal Latin squares of order 4t is found for the first time. The thinking of constructing mutually orthogonal Latin square of order 4t is rearrangement of coding square with a graphic. Practice shows that any mutually orthogonal Latin square of order 4t under t= 2m (m -any positive integer) can be constructed with author's method. The construction procedure and construction result of mutually orthogonal Latin square of order 8, 16 are presented. |
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| Keywords: | Latin square mutually orthogonal construction order 4t |
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