A construction for large sets of disjoint Kirkman triple systems

被引：10
|
作者：
Ji, Lijun [1 ]
机构：
[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2007年 / 43卷 / 2-3期
关键词：
Steiner system; large set; Kirkman triple system; group divisible t-design; frame;
D O I：
10.1007/s10623-007-9069-2
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
A Steiner system S(t, k, v) is called i-resolvable, 0 < i < t, if its block set can be partitioned into S(i, k, v). In this paper, a 2-resolvable S(3, 4, v) is used to construct a large set of disjoint Kirkman triple systems of order 3v - 3 (briefly LKTS) and some new orders for LKTS are then obtained.
引用
收藏
页码：115 / 122
页数：8
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