摘要
两个v阶对称幂等拉丁方称为互不相交的若除对角线外,其余每一位置上的两个元互不相同.v-2个互不相交的v阶对称幂等拉丁方称为v阶golf设计.本文证明了对任意大于1的奇数v(v≠5),除去28个可能的例外值,均存在v阶golf设计.
Two svmmetric idempotent Latin squares with order v are called disjoint if theirelements in the same position are different in an offdiagonal.The v一2pairwise disjoint sym-metric idempotent Latin squares with order v are called a Golf design of order v. In this paper,we prove that for any odd v(o> 1 and v≠5)there exists a golf design of order v except 28possible orders.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1994年第6期728-734,共7页
Acta Mathematica Sinica:Chinese Series
关键词
拉丁方
Golf设计
谱
PBD设计
symmetric idempotent Latin square,GDD-design,PBD-design,Gold design