正交频率方的一个新构造(英文)

A new construction on mutually orthogonalfrequency squares

设n=λm,频率方F(n;λ)是一个n×n方阵,它包含m个不同元,且满足任一元在每行每列中均出现λ次.若两个型为F(n;λ)的频率方在对应位置上的值组成的m2个不同序对,每个恰出现λ2次,则称这两个频率方正交.本文给出一个构造两两正交频率方的新方法,此方法是Street构造正交频率方方法的一个推广.

Let n=λm.An F(n;λ) frequency square is an n×n array in which each of the m distinct symbols appears exactly λ times in each row and column.Two such squares are said to be orthogonal if upon superposition,each of the m2 distinct ordered pairs occurs exactly λ2 times.This paper is to give a new method of constructing MOFS.The technique is an extension of Street's theorem for MOFS.