q-Steiner Systems Do Exist
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2012
- DOI:
- 10.48550/arXiv.1211.2758
- arXiv:
- arXiv:1211.2758
- Bibcode:
- 2012arXiv1211.2758B
- Keywords:
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- Mathematics - Combinatorics