In this paper we study a family of scattered Fq-linear sets of rank tn of the projective space PG(2n−1,q^t) (n≥1,t≥3), called of pseudoregulus type, generalizing results contained in Lavrauw and van de Voorde, Des. Codes Crypt. 20 (1) (2013) and in Marino et al. J. Combin. Theory, Ser. A 114:769–788 (2007). As an application, we characterize, in terms of the associated linear sets, some classical families of semifields: the Generalized Twisted Fields and the 2-dimensional Knuth semifields.
Maximum scattered linear sets of pseudoregulus type and the Segre variety $S_{n,n}$
MARINO, Giuseppe;POLVERINO, Olga;
2014
Abstract
In this paper we study a family of scattered Fq-linear sets of rank tn of the projective space PG(2n−1,q^t) (n≥1,t≥3), called of pseudoregulus type, generalizing results contained in Lavrauw and van de Voorde, Des. Codes Crypt. 20 (1) (2013) and in Marino et al. J. Combin. Theory, Ser. A 114:769–788 (2007). As an application, we characterize, in terms of the associated linear sets, some classical families of semifields: the Generalized Twisted Fields and the 2-dimensional Knuth semifields.File in questo prodotto:
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