On Affine-Invariant Two-Fold Quadruple Systems
On Affine-Invariant Two-Fold Quadruple Systems
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DOI：
10.1007/s00373-015-1595-5
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发表时间：
2015-11
影响因子：
0.7
通讯作者：
Xiaonan Lu
中科院分区：
文献类型：
--
作者：
Xiaonan Lu
本文给出了q阶仿射不变2重四重系统（3-（q，4，2）设计）的直接构造和递归构造，其中q是素数幂.利用图的1-因子直接构造出了一个素数阶仿射不变2重四元系存在的判别准则。通过我们的递归构造，利用我们以前的直接构造，建立了一个无限族仿射不变的2重四元系。
In this paper, we present a direct construction and a recursive construction of the affine-invariant 2-fold quadruple systems of orderq(3-(q, 4, 2) designs), whereqis a prime power. The direct construction also gives a criterion for the existence of affine-invariant 2-fold quadruple systems of prime order by using 1-factors of graphs. By our recursive construction, an infinite family of affine-invariant 2-fold quadruple systems is established by using our previous direct construction.