In this paper, we extend and analyze in a finite projective space of any dimension the notion of standard two-intersection sets previously introduced in the projective plane by Penttila and Royle (Des Codes Cryptogr 6:229–245, 1995), see also Blokhuis and Lavrauw (J Combin Theory Ser A 99:377–382, 2002). Moreover, given a pair of suitable distinct standard two-intersection sets in a finite projective space it is possible to get further standard two-intersection sets by applying elementary set-theoretical operations to the elements of the pair.

On standard two-intersection sets in PG(r, q)

Zuanni, Fulvio
2018

Abstract

In this paper, we extend and analyze in a finite projective space of any dimension the notion of standard two-intersection sets previously introduced in the projective plane by Penttila and Royle (Des Codes Cryptogr 6:229–245, 1995), see also Blokhuis and Lavrauw (J Combin Theory Ser A 99:377–382, 2002). Moreover, given a pair of suitable distinct standard two-intersection sets in a finite projective space it is possible to get further standard two-intersection sets by applying elementary set-theoretical operations to the elements of the pair.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/133026
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