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Title data
Kurz, Sascha:
Heden's bound on the tail of a vector space partition.
Bayreuth
,
2018
. - 5 S.
This is the latest version of this item.
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Project information
| Project title: |
Project's official title Project's id Integer Linear Programming Models for Subspace Codes and Finite Geometry No information |
|---|---|
| Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract
A vector space partition of GF(q)^v is a collection of subspaces such that every non-zero vector is contained in a unique element. We improve a lower bound of Heden, in a subcase, on the number of elements of the smallest occurring dimension in a vector space partition. To this end, we introduce the notion of q^r-divisible sets of k-subspaces in GF(q)^v. By geometric arguments we obtain non-existence results for these objects, which then imply the improved result of Heden.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Additional notes (visible to public): | erschienen in:
Discrete Mathematics. Bd. 341 (Dezember 2018) Heft 12 . - S. 3447-3452. DOI: https://doi.org/10.1016/j.disc.2018.09.003 |
| Keywords: | Galois geometry; vector space partitions |
| Subject classification: | Mathematics Subject Classification Code: 51E23 (05B40) |
| DDC Subjects: | 500 Science > 510 Mathematics |
| 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 Mathematical Economics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-3716-3 |
| Date Deposited: | 11 May 2018 07:10 |
| Last Modified: | 14 May 2021 06:48 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/3716 |
Available Versions of this Item
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Heden's bound on the tail of a vector space partition. (deposited 07 Aug 2017 09:36)
- Heden's bound on the tail of a vector space partition. (deposited 11 May 2018 07:10) [Currently Displayed]
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