中文摘要：

设计的嵌入问题是组合设计理论中的基本问题,带洞不完全典型柯克曼填充设计的存在性在典型柯克曼填充设计嵌入问题的研究中发挥着重要作用.设正整数u,v≡4（mod 6）,ICKPD（u,v）表示带洞大小v的u阶不完全典型柯克曼填充设计.利用Bose混差直接构作法和基于柯克曼标架的递推构作法证明了当v=16,22时,ICKPD（u,v）存在的必要条件u≥3v＋4和u≡4（mod 6）也是充分的,其中（u,v）=（52,16）是唯一可能例外.

英文摘要：

The embedding problem of designs is a basic problem in combinatorial theory. Incomplete canonical Kirkman packing designs with holes plays an important role in the research of the embedding problem of canonical Kirkman packing designs. Let positive integers u, v≡4（mod 6）, and ICKPD（u, v） an incomplete canonical Kirkman packing design of order u with a hole of size v. In this paper, by using Bose′s mixed difference method and recursive construction based on Kirkman frames, it was proved that for v = 16, 22, the necessary conditions u ≥ 3v ＋ 4, u≡4（mod 6） for the existence of an ICKPD（u, v） was also sufficient with one possibly exception of（u, v） =（52, 16）.