8t阶幻方及正交拉丁方的构造方法

Method of Constructing Magic Square and Mutually Orthogonal Latin Square of Order 8t

一种４ｔ阶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。

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.