Abstract | ||
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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 |
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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. Rottey | 1 | 0 | 0.68 |
Leo Storme | 2 | 197 | 38.07 |