Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

Classification of large partial plane spreads in PG(6,2) and related combinatorial objects

Title 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 (April 2019) Issue 5 . - pp. 1-31.
ISSN 1420-8997
DOI: https://doi.org/10.1007/s00022-018-0459-6

Official URL: Volltext

Project information

Project title:
Project's official titleProject's id
Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche GeometrieNo 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
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy
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: 17 Dec 2018 07:44
URI: https://eref.uni-bayreuth.de/id/eprint/46673