Title data
Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Classification of large partial plane spreads in PG(6,2) and related combinatorial objects.
Bayreuth
,
2018
.  31 p.
This is the latest version of this item.
Project information
Project title: 



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:  Preprint, postprint, working paper, discussion paper 

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 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 
Result of work at the UBT:  Yes 
DDC Subjects:  000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics 
Date Deposited:  03 May 2018 06:59 
Last Modified:  18 Mar 2019 08:56 
URI:  https://eref.unibayreuth.de/id/eprint/43990 
Available Versions of this Item

Classification of large partial plane spreads in PG(6,2) and related combinatorial objects. (deposited 02 Jul 2016 21:00)
 Classification of large partial plane spreads in PG(6,2) and related combinatorial objects. (deposited 03 May 2018 06:59) [Currently Displayed]