| n=t3阶正交拉丁方的构造方法 |
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| 引用本文： | 丑万禧. n=t3阶正交拉丁方的构造方法[J]. 安徽理工大学学报(自然科学版), 2002, 22(3): 43-50 |
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| 作者姓名： | 丑万禧 |
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| 作者单位： | 安徽理工大学土木工程系,安徽,淮南,232001 |
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| 摘 要： | 在三重正交拉丁立方构造研究的基础上,发现了一种适用于n=t3阶正交拉丁方构造的方法.并利用其方法构造n=8,27,64,125,343,512,…等阶的正交拉丁方.阐明了n=t3阶正交拉丁方构造的特点,介绍了n=t3阶正交拉丁方的构造方法及n=8,27阶欧拉方和幻方的构造结果.
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| 关 键 词： | 正交 拉丁方 幻方 构造 n阶 |
| 文章编号： | 1671-0932(2002)03-0043-08 |
| 修稿时间： | 2002-01-07 |
Method of Constructing Mutually Orthogonal Latin Squares of Order n=t3 |
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| CHOU Wan xi. Method of Constructing Mutually Orthogonal Latin Squares of Order n=t3[J]. Journal of Anhui University of Science and Technology:Natural Science, 2002, 22(3): 43-50 |
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| Authors: | CHOU Wan xi |
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| Abstract: | On the basis of construction research of mutually orthogonal latin cubes, a method of constructing mutually orthogonal latin squares of order n=t 3 is discovered. By using author's method the mutually orthogonal latin squares of order n=8 ,27,125,343,512 can be constructed. In this paper the feature of constructing mutually orthogonal latin squares of order n=t 3 is described. The results of constructing mutually orthogonal latin squares and magic squares of order n=8 ,27 are presented. |
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| Keywords: | orthogonal latin square magic square construction order n |
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