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Title data
Kurz, Sascha:
Improved upper bounds for partial spreads.
Bayreuth
,
2016
. - 8 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
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 at most 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 |
|---|---|
| Additional notes (visible to public): | erschienen in:
Designs, Codes and Cryptography. Bd. 85 (Oktober 2017) Heft 1 . - S. 97-106. DOI: https://doi.org/10.1007/s10623-016-0290-8 |
| 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) |
| 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 Mathematical Economics Faculties |
| Language: | English |
| Originates at UBT: | Yes |
| Date Deposited: | 06 Jul 2016 09:53 |
| Last Modified: | 27 May 2021 10:26 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/2926 |
Available Versions of this Item
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Improved upper bounds for partial spreads. (deposited 15 Dec 2015 10:39)
- Improved upper bounds for partial spreads. (deposited 06 Jul 2016 09:53) [Currently Displayed]
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