Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Blocking sets and semifields - MaRDI portal

Blocking sets and semifields (Q2500623)

From MaRDI portal
scientific article
Language Label Description Also known as
English
Blocking sets and semifields
scientific article

    Statements

    Blocking sets and semifields (English)
    0 references
    0 references
    17 August 2006
    0 references
    In the paper under review the author shows a relationship between semifield spreads of \({\text PG}(2 t - 1, q)\) and \(\text{GF}(s)\)-linear sets of rank \(n t\) with \(q = s^n\). For \(t = 2\), the indicator set of a semifield spread of \({\text PG}(3, q)\) defines a Rédei linear blocking set of \({\text PG}(2, q^2)\), disjoint from a Baer subline of a Rédei line. And, using such blocking sets many classes of examples of translation ovoids of the Hermitian surface \(H(3, q^2)\) are produced. Moreover, the author presents some open problems on blocking sets, on semifield spreads and on translation ovoids of \(H(3, q^2)\).
    0 references
    0 references
    0 references
    0 references
    0 references
    semifields
    0 references
    spreads
    0 references
    blocking sets
    0 references
    indicator sets
    0 references
    ovoids
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references