利用置换构作循环拉丁方型设计

CONSTRUCTION OF DESIGNS OF CYCLIC LATIN SQUARE TYPE VIA PERMUTATIONS

本文提出利用无不动元的置换构作循环拉丁方型设计的方法,证明了几个一般定理,并用它们具体求得九阶循环拉丁方型均匀设计。

A method for constructing designs of cyclic Latin square type using permutations without any fixed element is presented. Some general theorems are proved, and, as an application, the homogeneous designs of cyclic Latin spuare type of order 9 are obtained.