摘要
已经知道,对于任意的阶n>5,n≠6,10,18,22,26,存在三个相互正交的幂等拉丁方.对于n为6和10的情况已确知其不存在,本文给出三个相互正交的18,22和26阶幂等拉丁方,这样,三个相互正交幂等拉丁方的存在性问题已全部解决.
It is known that there are three mutually orthogonal idempotent Latinsquares of order n for any integer n≥5and n≠6,10,18,22,26.Clearly, there existneither orthogonal Latin squares of order 6 nor three orthogonal idempotent Latin squaresof order 10.In this paper,we give out three mutually orthogonal idempotent Latinsquares of order 18,22 and 26,so that the problem on exists of them have been resolvedcompletely.
出处
《云南民族大学学报(自然科学版)》
CAS
1994年第1期1-6,共6页
Journal of Yunnan Minzu University:Natural Sciences Edition
关键词
拉丁方
正交拉丁方
幂等拉丁方
Latin square,orthogonal Latin squares, idempotent Latin square