## Title data

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:

**Generalized vector space partitions.**

*In:* The Australasian Journal of Combinatorics.
Vol. 73
(2019)
Issue 1
.
- pp. 162-178.

ISSN 1034-4942

## Related URLs

## Abstract in another language

A vector space partition P in GF(q)^v is a set of subspaces such that every 1-dimensional subspace of GF(q)^v is contained in exactly one element of P. Replacing "1-dimensional" by "t-dimensional", we generalize this notion to vector space t-partitions and study their properties. There is a close connection to subspace codes and some problems are even interesting and unsolved for the set case q=1.

## Further data

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

Refereed: | Yes |

Keywords: | Galois geometry; partial spreads; constant-dimension codes; subspace codes; q-analogs; pairwise balanced designs; vector space partitions |

Subject classification: | Mathematics Subject Classification Code: 51E23 (05B40) |

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

Result of work at the UBT: | Yes |

DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |

Date Deposited: | 23 Nov 2018 08:17 |

Last Modified: | 18 Jan 2019 12:26 |

URI: | https://eref.uni-bayreuth.de/id/eprint/46411 |