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8t阶幻方及正交拉丁方的构造方法
引用本文:俞万禧. 8t阶幻方及正交拉丁方的构造方法[J]. 黑龙江科技学院学报, 2001, 11(4): 48-51
作者姓名:俞万禧
作者单位:淮南工业学院土木系,
摘    要:一种8t幻方及正交拉丁方的构造方法被首次发现。文中验证了4t阶幻方及正交拉丁方构造方法的可行性。阐明了8t阶幻方及正交拉丁方构造的思路。介绍了16阶幻方及正交拉丁方的构造过程,构造验证表明,该法是简便的,可构造任意8t阶幻方及正交拉丁方。

关 键 词:幻方 正交拉丁方 8t阶 构造方法 欧拉方
文章编号:1671-0118(2001)-0048-04

Method of Constructing Magic Square and Mutually Orthogonal Latin Square of Order 8t
CHOU Wanxi. Method of Constructing Magic Square and Mutually Orthogonal Latin Square of Order 8t[J]. Journal of Heilongjiang Institute of Science and Technology, 2001, 11(4): 48-51
Authors:CHOU Wanxi
Abstract:A method of constructing magic square and mutually orthogonal Latin square of order 4t is discovered firstly. The purpose of this paper is to verify the feasibility of author's method of constructing magic square and mutually orthogonal Latin square of order 4t. In this paper the thinking of constructing magic square and mutually orthogonal Latin square of order 8t is described. The process of constructing magic square and mutually orthogonal Latin square of order 16 is presented. Construction practice shows that author's method is simple and convenient, and any magic square and mutually orthogonal Latin square of order 8t can be constructed by using author's method.
Keywords:magic square  mutually orthogonal Latin square  order 8t  construction
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