Title data
Kurz, Sascha:
Improved upper bounds for partial spreads.
Bayreuth
,
2015
. - 8 p.
There is a more recent version of this item available.
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
A partial (k-1)-spread} in PG(n-1,q) is a collection of (k-1)-dimensional subspaces with trivial intersection such that each point is covered exactly once. So far the maximum size of a partial (k-1)-spread in PG(n-1,q) was know for the cases where n is congruent to 0 or 1 modulo k, and for the special case where n is congruent to 2 modulo k, but we additionally have q=2 and k=3. We completely resolve the case where n is congruent to 2 modulo k and q=2, i.e., the binary case.
Further data
Item Type: | Preprint, postprint |
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Keywords: | Galois geometry; partial spreads; constant dimension codes; vector space partitions; orthogonal arrays; (s,r,mu)-nets |
Subject classification: | MSC: 51E23 (05B15 05B40 11T71 94B25) |
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 Mathematical Economics 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: | 19 Dec 2015 22:00 |
Last Modified: | 19 Dec 2015 22:00 |
URI: | https://eref.uni-bayreuth.de/id/eprint/29053 |
Available Versions of this Item
- Improved upper bounds for partial spreads. (deposited 19 Dec 2015 22:00) [Currently Displayed]