A lower bound on the number of Semi‐Boolean quadruple systems
A lower bound on the number of Semi‐Boolean quadruple systems
复制标题
半布尔四元组数量的下界
DOI：
10.1002/jcd.10050
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发表时间：
2003
影响因子：
0.7
通讯作者：
A. Del Fra
中科院分区：
文献类型：
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作者：
M. Buratti;A. Del Fra
一个2n阶的斯坦纳四元组系是半布尔的（简称SBQS（2n）），如果它的所有衍生三元系同构于与射影几何PG（n−1，2）相关的点线设计。我们通过显式构造证明了对于任意n，直到同构，至少存在2 <$3（n−4）/2 <$3正则可分解的SBQS（2n）。© 2003 Wiley Periodicals，Inc. J Combin Designs 11：229-239，2003;在线发表于Wiley InterScience（www.interscience.wiley.com）。DOI 10.1002/jcd.10050
A Steiner quadruple system of order 2n is Semi‐Boolean (SBQS(2n) in short) if all its derived triple systems are isomorphic to the point‐line design associated with the projective geometry PG(n−1, 2). We prove by means of explicit constructions that for any n, up to isomorphism, there exist at least 2⌊ 3(n−4)/2⌋ regular and resolvable SBQS(2n). © 2003 Wiley Periodicals, Inc. J Combin Designs 11: 229–239, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/jcd.10050