Title data
Kurz, Sascha:
Improved upper bounds for partial spreads.
In: Designs, Codes and Cryptography.
Vol. 85
(October 2017)
Issue 1
.
 pp. 97106.
ISSN 09251022
DOI: https://doi.org/10.1007/s1062301602908
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Project information
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Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
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:  Article in a journal 

Refereed:  Yes 
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:  10 Aug 2017 10:41 
Last Modified:  27 May 2021 10:25 
URI:  https://eref.unibayreuth.de/id/eprint/39085 