## Title data

Kurz, Sascha:

**Vector space partitions of GF(2)^8.**

Bayreuth
,
2023
. - 27 p.

DOI: https://doi.org/10.15495/EPub_UBT_00006861

## Abstract in another language

A vector space partition P of the projective space PG(v-1,q) is a set of subspaces in PG(v-1,q) which partitions the set of points. We say that a vector space partition P has type (v-1)^{m_{v-1}} ... 2^{m_2}1^{m_1} if precisely m_i of its elements have dimension i, where 1 <= i <= v-1. Here we determine all possible types of vector space partitions in PG(7,2).

## Further data

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

Keywords: | Finite geometry; vector space partitions; divisible codes; linear codes |

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

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 25 Feb 2023 22:00 |

Last Modified: | 27 Feb 2023 06:43 |

URI: | https://eref.uni-bayreuth.de/id/eprint/73996 |