The Construction of Minimal (b,t)-Blocking Sets Containing Conics in PG(2,5) with the Complete Arcs and Projective Codes Related with Them

The Construction of Minimal (b,t)-Blocking Sets Containing Conics in PG(2,5) with the Complete Arcs and Projective Codes Related with Them

A (b,t)-blocking set B in PG(2,q) is set of b points such that every line of PG(2,q) intersects B in at least t points and there is a line intersecting B in exactly t points. In this paper we construct a minimal (b,t)-blocking sets, t = 1,2,3,4,5 in PG(2,5) by using conics to obtain complete arcs an...

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Veröffentlicht in:Ibn Al-Haitham Journal for Pure and Applied Sciences 2017-03, Vol.28 (1)
Hauptverfasser: Amal Shihab Al-Mukhtar, Hani Sabbar Thumai
Format: Artikel
Sprache:eng
Schlagworte:
Blocking set, complete arc, projective code
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Zusammenfassung:A (b,t)-blocking set B in PG(2,q) is set of b points such that every line of PG(2,q) intersects B in at least t points and there is a line intersecting B in exactly t points. In this paper we construct a minimal (b,t)-blocking sets, t = 1,2,3,4,5 in PG(2,5) by using conics to obtain complete arcs and projective codes related with them.
ISSN:1609-4042
2521-3407