at Google ScholarTitle data
Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Classification of large partial plane spreads in PG(6,2) and related combinatorial objects.
In: Journal of Geometry.
Vol. 110
(2019)
.
- 5.
ISSN 1420-8997
DOI: https://doi.org/10.1007/s00022-018-0459-6
Related URLs
Project information
| Project title: |
Project's official title Project's id Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche Geometrie No information |
|---|---|
| Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract in another language
In this article, the partial plane spreads in PG(6,2) of maximum possible size 17 and of size 16 are classified. Based on this result, we obtain the classification of the following closely related combinatorial objects: Vector space partitions of PG(6,2) of type (3^{16} 4^1), binary 3x4 MRD codes of minimum rank distance 3, and subspace codes with parameters (7,17,6)_2 and (7,34,5)_2.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | partial spreads; MRD codes; vector space partitions |
| Subject classification: | Mathematics Subject Classification Code: 05B25 15A21 51E14 (20B25 51E20 94B60) |
| 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 (Computer Algebra) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics 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: | 17 Dec 2018 07:44 |
| Last Modified: | 11 Aug 2023 07:29 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/46673 |