## Title data

Braun, Michael ; Kohnert, Axel ; Östergård, Patric R. J. ; Wassermann, Alfred:

**Large sets of t-designs over finite fields.**

*In:* Journal of Combinatorial Theory, Series A.
Vol. 124
(2014)
.
- pp. 195-202.

ISSN 0097-3165

DOI: https://doi.org/10.1016/j.jcta.2014.01.008

## Abstract in another language

A t-(n,k,λ;q)-design is a set of k-dimensional subspaces, called blocks, of an n-dimensional vector space V over the finite field with q elements such that each t-dimensional subspace is contained in exactly λ blocks. A partition of the complete set of k-dimensional subspaces of V into disjoint t-(n,k,λ;q) designs is called a large set of t-designs over finite fields. In this paper we give the first nontrivial construction of such a large set with t⩾2.

## Further data

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

Refereed: | Yes |

Keywords: | q-Analogs; Designs over finite fields; Large sets; Automorphism group |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics and Didactics 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: | 21 Jan 2015 15:02 |

Last Modified: | 13 Mar 2024 12:39 |

URI: | https://eref.uni-bayreuth.de/id/eprint/5786 |