Premium
Simple 3‐designs of PSL(2, 2 n ) with block size 7
Author(s) -
Li Weixia,
Shen Hao
Publication year - 2008
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20141
Subject(s) - psl , mathematics , combinatorics , automorphism group , simple (philosophy) , block (permutation group theory) , automorphism , block size , orbit (dynamics) , discrete mathematics , computer science , philosophy , computer security , epistemology , key (lock) , engineering , aerospace engineering
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, 2 n ). As a consequence, we determine the distribution of λ for which there exists a simple 3‐(2 n + 1, 7, λ) design with PSL(2, 2 n ) as an automorphism group. © 2007 Wiley Periodicals, Inc. J Combin Designs 16: 1–17, 2008