## Title data

Braun, Michael ; Kiermaier, Michael ; Nakić, Anamari:

**On the automorphism group of the binary q-analog of the Fano plane.**

*In:*
Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems : MTNS 2014. -
Groningen
: Univ.
,
2014
. - pp. 1402-1405

ISBN 978-90-367-6321-9

## Abstract in another language

An S_q[t, k, v] q-Steiner system is a collection of

k-dimensional subspaces of the v-dimensional vector

space GF(q)^v over the finite field GF(q) with q elements, called blocks, such that each t-dimensional subspace of GF(q)^v is contained in exactly one block. The smallest admissible parameters for which a q-Steiner system could exist is S_2[2, 3, 7]. Up to now the issue whether q-Steiner systems with these parameters exist or not is still unsolved.

In this paper we investigate the automorphism group of a putative S_2[2, 3, 7] q-Steiner system. We conclude that

in case of existence the automorphism group is cyclic and of order at most 4.

## Further data

Item Type: | Article in a book |
---|---|

Refereed: | Yes |

Keywords: | Random network codes; designs over finite fields; q-Steiner systems; automorphism group |

Subject classification: | MSC2010 51E10 (51E20, 05B05) |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 11 Apr 2016 07:16 |

Last Modified: | 11 Apr 2016 07:16 |

URI: | https://eref.uni-bayreuth.de/id/eprint/32157 |