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URN to cite this document: urn:nbn:de:bvb:703-epub-2920-7
Title data
Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Classification of large partial plane spreads in PG(6,2) and related combinatorial objects.
Bayreuth
,
2016
. - 26 S.
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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 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 |
|---|---|
| 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-2920-7 |
| Date Deposited: | 27 Jun 2016 07:24 |
| Last Modified: | 27 Jun 2016 07:24 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/2920 |
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- Classification of large partial plane spreads in PG(6,2) and related combinatorial objects. (deposited 27 Jun 2016 07:24) [Currently Displayed]
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