## Title data

Kurz, Sascha:

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

*In:* Serdica Journal of Computing.
Vol. 16
(2022)
Issue 2
.
- pp. 71-100.

ISSN 1312-6555

DOI: https://doi.org/10.55630/sjc.2022.16.71-100

## 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: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | Finite Geometry; Vector Space Partitions; Divisible Codes; Linear Codes |

Subject classification: | Mathematics Subject Classification 2020: 51E23 (51E14) |

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 |

Result of work at the UBT: | Yes |

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

Date Deposited: | 30 Mar 2023 05:37 |

Last Modified: | 30 Mar 2023 05:37 |

URI: | https://eref.uni-bayreuth.de/id/eprint/75793 |