n=t^3阶正交拉丁方的构造方法

Method of Constructing Mutually Orthogonal Latin Squares of Order n=t^3

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=8,2 7,64,1 2 5 ,343,5 1 2 ,…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=8,2

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.