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Heden's bound on maximal partial spreads

โœ Scribed by A. Blokhuis; A.E. Brouwer; H.A. Wilbrink


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
452 KB
Volume
74
Category
Article
ISSN
0012-365X

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โœฆ Synopsis


We prove Heden's result that the deficiency 6 of a maximal partial spread in PG(3, q) is greater than 1 + $( 1 + fi)G unless 6 -1 is a multiple of p, where q = p". When q is odd and not a square, we are able to improve this lower bound to roughly a.


๐Ÿ“œ SIMILAR VOLUMES


Maximal partial spreads inPG(3,q)
โœ Sandro Rajola; Maria Scafati Tallini ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Springer ๐ŸŒ English โš– 111 KB
Maximal partial ovoids and maximal parti
โœ K. Metsch; L. Storme ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 181 KB

## Abstract Maximal partial ovoids and maximal partial spreads of the hermitian generalized quadrangles __H__(3,__q__^2^) and __H__(4,__q__^2^) are studied in great detail. We present improved lower bounds on the size of maximal partial ovoids and maximal partial spreads in the hermitian quadrangle

Maximal partial spreads and the modular
โœ Olof Heden ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 624 KB

We prove that if q + 1 E 8 or 16 (mod 24) then, for any integer n in the interval (q2 + 1)/2 + 3 < n < (Sq' + 4q + 7)/8, there is a maximal partial spread of size n in PG(3, q).