q-Steiner Systems Do Exist

2012/11/06 by Michael Braun, Braun, Michael, Alfred Wassermann +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1211.2758

arxiv created 2012/11/06 · arxiv updated 2012/11/13

Abstract

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 S₂[2,3,13] admitting the normalizer of a singer cycle as a group of automorphisms.

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• q-Analogs of Steiner Systems
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