Simple 3‐designs of PSL(2, 2n) with block size 7
Simple 3‐designs of PSL(2, 2n) with block size 7
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DOI：
10.1002/jcd.20141
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发表时间：
2008-01
影响因子：
0.7
通讯作者：
Weixia Li;Hao Shen
中科院分区：
文献类型：
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作者：
Weixia Li;Hao Shen
本文确定了在PSL(2, 2n)作用下固定轨道长度的$X= {\rm GF}(2^n)\cup\{\infty\}$的7个子集的轨道数。因此，我们确定了 λ 的分布，其中存在一个简单的 3-(2n + 1, 7, λ) 设计，其中 PSL(2, 2n) 作为自同构群。 © 2007 Wiley periodicals, Inc. J Combin Designs 16: 1–17, 2008
In this paper, we determine the number of the orbits of 7‐subsets of $X= {\rm GF}(2^n)\cup\{\infty\}$ with a fixed orbit length under the action of PSL(2, 2n). As a consequence, we determine the distribution of λ for which there exists a simple 3‐(2n + 1, 7, λ) design with PSL(2, 2n) as an automorphism group. © 2007 Wiley Periodicals, Inc. J Combin Designs 16: 1–17, 2008