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URN to cite this document: urn:nbn:de:bvb:703-epub-2636-3
Title data
Kurz, Sascha:
Improved upper bounds for partial spreads.
Bayreuth
,
2015
. - 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 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 |
|---|---|
| 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 |
| URN: | urn:nbn:de:bvb:703-epub-2636-3 |
| Date Deposited: | 15 Dec 2015 10:39 |
| Last Modified: | 15 Dec 2015 10:39 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/2636 |
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