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Blocking sets of the classical unital (CROSBI ID 219468)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Blokhuis, Aart ; Brouwer, Andries E. ; Jungnickel, Dieter ; Krčadinac, Vedran ; Rottey, Sara ; Storme, Leo ; Szőnyi, Tamás ; Vandendriessche, Peter Blocking sets of the classical unital // Finite fields and their applications, 35 (2015), 1-15. doi: 10.1016/j.ffa.2015.02.004

Podaci o odgovornosti

Blokhuis, Aart ; Brouwer, Andries E. ; Jungnickel, Dieter ; Krčadinac, Vedran ; Rottey, Sara ; Storme, Leo ; Szőnyi, Tamás ; Vandendriessche, Peter

engleski

Blocking sets of the classical unital

It is known that the classical unital arising from the Hermitian curve in PG(2, 9) does not have a 2-coloring without monochromatic lines. Here we show that for q>=4 the Hermitian curve in PG(2, q^2) does possess 2-colorings without monochromatic lines. We present general constructions and also prove a lower bound on the size of blocking sets in the classical unital.

Blocking sets ; Unitals ; Hermitian curve

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Podaci o izdanju

35

2015.

1-15

objavljeno

1071-5797

1090-2465

10.1016/j.ffa.2015.02.004

Povezanost rada

Matematika

Poveznice
Indeksiranost