Title data
Kurz, Sascha:
Improved upper bounds for partial spreads.
Bayreuth
,
2016
.  8 S.
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Deutsche Forschungsgemeinschaft 
Abstract
A partial (k1)spread} in PG(n1,q) is a collection of (k1)dimensional subspaces with trivial intersection such that each point is covered at most once. So far the maximum size of a partial (k1)spread in PG(n1,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 Mathematics in Economy Faculties 
Language:  English 
Originates at UBT:  Yes 
Date Deposited:  06 Jul 2016 09:53 
Last Modified:  20 Mar 2019 11:18 
URI:  https://epub.unibayreuth.de/id/eprint/2926 
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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]