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Blocking Sets and Derivable Partial Spreads
Authors:G Lunardon  O Polverino
Institution:(1) Dip. di Matematica e Applicazioni, Complesso di Monte S. Angelo-Edificio T, Via Cintia, I-80126 Napoli, Italy
Abstract:We prove that a GF(q)-linear Rédei blocking set of size q t + q t–1 + ··· + q + 1 of PG(2,q t) defines a derivable partial spread of PG(2t – 1, q). Using such a relationship, we are able to prove that there are at least two inequivalent Rédei minimal blocking sets of size q t + q t–1 + ··· + q + 1 in PG(2,q t), if t ge 4.
Keywords:spread  translation plane  blocking set
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