Title data
Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Partial spreads and vector space partitions.
Bayreuth
,
2016
. - 21 p.

Project information
Project title: |
Project's official title Project's id Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche Geometrie No information |
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Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract in another language
Constant dimension codes with the maximum possible minimum distance have been studied under the name of partial spreads in finite geometry for several decades. It is no
surprise that the sharpest bounds on the maximal code sizes are typically known for this subclass. The seminal works of Andr\'e, Segre, Beutelspacher, and Drake & Freeman
date back to 1954, 1964, 1975, and 1979, respectively. Until recently, there was almost no progress besides some computer based constructions and classifications. It turns out that vector space partitions provide the appropriate theoretical framework, Here, we provide an historic account and an interpretation of the classical results from a modern point of view. To this end, we introduce all required methods from the theory of vector space partitions and finite geometry in a tutorial style. We guide the reader to the current frontiers of research in that
field.
Further data
Item Type: | Preprint, postprint |
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Keywords: | constant dimension codes; partial spreads; vector space partitions; network coding; linear programming bound |
Subject classification: | Mathematics Subject Classification Code: 51E23 05B15 (05B40 11T71 94B25) |
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: | 500 Science > 510 Mathematics |
Date Deposited: | 26 Nov 2016 22:00 |
Last Modified: | 26 Nov 2016 22:00 |
URI: | https://eref.uni-bayreuth.de/id/eprint/35214 |
Available Versions of this Item
- Partial spreads and vector space partitions. (deposited 26 Nov 2016 22:00) [Currently Displayed]