Simple 3-designs of PSL(2, 2n) with bloc
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Weixia Li; Hao Shen
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Article
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2007
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John Wiley and Sons
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English
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## Abstract In this paper, we determine the number of the orbits of 7โsubsets 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 ฮป for which there exists a simple 3โ(2^__n__^โ+โ1, 7, ฮป) design with P