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Maximal partial spreads and two-weight codes

โœ Scribed by Olof Heden

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
879 KB
Volume
62
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES

Maximal partial ovoids and maximal parti
Maximal partial ovoids and maximal partial spreads in hermitian generalized quadrangles
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

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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).

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It is well known that two-weight codes result in strongly regular graphs if the code is projective. In this paper optimal (84,6,54) and (98,6,63) quasi-cyclic two-weight codes over GF(3) are presented. These codes were constructed using heuristic optimization with a local search, a technique which h