南京师大学报（自然科学版）2008，Vol.31Issue(1)：15-20,6.
区组大小为3的二重及三重单纯框架设计
Simple Kirkman Frames With Index 2 and 3
摘要
Abstract
A (K,λ)-frame is a GDD (X, G, B) in which the collection of blocks B can be partitioned into holey parallel classes, each holey parallel class being a partition of G\Gj for some Gj∈G. A frame is called simple if all its blocks are distinct. Simple frames are powerful for the construction of simple Kirkman packing designs, which can be used in the construction of uniform designs in statistics. In this paper, we shall prove that the necessary conditions for simple Kirkman frames of type tu with index 2 and 3 are also sufficient.关键词
单纯/框架设计/可分组设计Key words
simple, frame design, group-divisible design分类
数理科学引用本文复制引用
曹海涛,吴艳..区组大小为3的二重及三重单纯框架设计[J].南京师大学报（自然科学版）,2008,31(1):15-20,6.基金项目
Supported by the NNSF(10501023, 60673070) and NSF of Jiangsu Province (BK2006217). （10501023, 60673070）
