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

URN to cite this document: urn:nbn:de:bvb:703-epub-3703-1

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 S.

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Project title:

Project's official title	Project's id
Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche Geometrie	No information

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Deutsche Forschungsgemeinschaft

Abstract

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
Additional notes (visible to public):	erschienen in: Journal of Geometry. Bd. 110 (April 2019) Heft 5 . - S. 1-31. DOI: https://doi.org/10.1007/s00022-018-0459-6
Keywords:	partial spreads; MRD codes; vector space partitions
Subject classification:	Mathematics Subject Classification Code: 05B25 15A21 51E14 (20B25 51E20 94B60)
DDC Subjects:	000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics
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 (Computer Algebra) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-3703-1
Date Deposited:	03 May 2018 06:57
Last Modified:	14 May 2021 06:59
URI:	https://epub.uni-bayreuth.de/id/eprint/3703

Available Versions of this Item

Classification of large partial plane spreads in PG(6,2) and related combinatorial objects. (deposited 27 Jun 2016 07:24)
- Classification of large partial plane spreads in PG(6,2) and related combinatorial objects. (deposited 03 May 2018 06:57) [Currently Displayed]