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arxiv: 1211.2758 · v1 · pith:HY7KWYUWnew · submitted 2012-11-06 · 🧮 math.CO

q-Steiner Systems Do Exist

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keywords q-steinersystemsadmittingautomorphismscomputerconstructioncycleexist
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In this paper we give the first construction of a q-analog of a Steiner system. Using a computer search we found at least 26 q-Steiner Systems S_2[2,3,13] admitting the normalizer of a singer cycle as a group of automorphisms.

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