Heden's bound on maximal partial spreads
โ 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
No coin nor oath required. For personal study only.
โฆ 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.
๐ SIMILAR VOLUMES
## 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
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).