Title
Maximal partial line spreads of non-singular quadrics
Abstract
For $$n \ge 9$$ , we construct maximal partial line spreads for non-singular quadrics of $$PG(n,q)$$ for every size between approximately $$(cn+d)(q^{n-3}+q^{n-5})\log {2q}$$ and $$q^{n-2}$$ , for some small constants $$c$$ and $$d$$ . These results are similar to spectrum results on maximal partial line spreads in finite projective spaces by Heden, and by Gács and Sz nyi. These results also extend spectrum results on maximal partial line spreads in the finite generalized quadrangles $$W_3(q)$$ and $$Q(4,q)$$ by Pepe, Röβing and Storme.
Year
DOI
Venue
2014
10.1007/s10623-012-9788-x
Designs, Codes and Cryptography
Keywords
Field
DocType
Quadrics,Maximal partial line spreads,Spectrum results,05B25,51E20,51E23
Discrete mathematics,Combinatorics,Quadric,Mathematics
Journal
Volume
Issue
ISSN
72
1
0925-1022
Citations 
PageRank 
References 
0
0.34
6
Authors
2
Name
Order
Citations
PageRank
S. Rottey100.68
Leo Storme219738.07