## Title data

Bamberg, John ; Filmus, Yuval ; Ihringer, Ferdinand ; Kurz, Sascha:

**Affine vector space partitions.**

Bayreuth
,
2022
. - 24 p.

DOI: https://doi.org/10.15495/EPub_UBT_00006775

## Abstract in another language

An affine vector space partition of AG(n,q) is a set of proper affine subspaces that partitions the set of points. Here we determine minimum sizes and enumerate equivalence classes of affine vector space partitions for small parameters. We also give parametric constructions for arbitrary field sizes.

## Further data

Item Type: | Preprint, postprint |
---|---|

Keywords: | finite geometry; vector space partitions; spreads; Klein quadric; Fano plane; hitting formulas |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics 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: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |

Date Deposited: | 03 Dec 2022 22:00 |

Last Modified: | 05 Dec 2022 06:49 |

URI: | https://eref.uni-bayreuth.de/id/eprint/72953 |