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q-Steiner Systems Do Exist

Published 6 Nov 2012 in math.CO | (1211.2758v1)

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 S_2[2,3,13] admitting the normalizer of a singer cycle as a group of automorphisms.

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