摘要
本文利用线性取余变换造正交拉丁方、幻方和泛对角线幻方．文［１］造奇数阶正交拉丁方的方法，文［２］造优化全对称幻方的方法，ＤｅｌａＬｏｕｂｅｒｅ，ＢａｃｈｅｔｄｅＭｅｚｉｒｉａｃ，［３］及［４］造奇数阶幻方的方法都是本文方法的特例．
This paper presents a set of methods for constructing the orthogonal latinsquares and the magic square by using the linear congruent transformation.These methods are wider than the method for constructing odd order orthogonal latin squares(TaoZhaomin[1]),the method for constructing the pandiagonal magic square(Zheng Geyu]),and the methods for constructing the odd order magic square(De la Loubere[1], Bachet deMeziriac[1]Chen Hao[3]and Xiao Zhengang[4],etc.).
出处
《应用数学学报》
CSCD
北大核心
1996年第2期231-238,共8页
Acta Mathematicae Applicatae Sinica
关键词
线性取余变换
正交拉丁方
幻方
泛对角线幻方
Linear congruent transformation,AB-square,orthogonal latin squares,magic square,pandiagonal magic square
