A geometric proof of the upper bound on the size of partial spreads in $H(4n+1,$q2$)$

Autor:	Frédéric Vanhove
Rok vydání:	2011
Předmět:	Combinatorics Discrete mathematics Algebra and Number Theory Computer Networks and Communications Applied Mathematics Discrete Mathematics and Combinatorics Maximum size Algebraic number Polar space Characterization (mathematics) Geometric proof Upper and lower bounds Mathematics
Zdroj:	Advances in Mathematics of Communications. 5:157-160
ISSN:	1930-5346
DOI:	10.3934/amc.2011.5.157
Popis:	We give a geometric proof of the upper bound of q2n+1$+1$ on the size of partial spreads in the polar space $H(4n+1,$q2$)$. This bound is tight and has already been proved in an algebraic way. Our alternative proof also yields a characterization of the partial spreads of maximum size in $H(4n+1,$q2$)$.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d4a973aeb7f6fa475db100cfaa323a89 https://doi.org/10.3934/amc.2011.5.157 Zobrazit plný text záznamu