Geodesic
Maximum scattered linear sets of pseudoregulus type and the Segre variety $\mathcal{S}_{n,n}$
Journal of Algebraic Combinatorics, Tome 39 (2014) no. 4, pp. 807-831.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In this paper we study a family of scattered $\mathbb{F}_{q}$-linear sets of rank $tn$ of the projective space $PG(2n-1,q^t)(n\geq 1,t\geq 3)$, 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.
Classification : 51E20, 17A35
Keywords: linear set, subgeometry, semifield, pseudoregulus 
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     title = {Maximum scattered linear sets of pseudoregulus type and the {Segre} variety $\mathcal{S}_{n,n}$},
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Lunardon, G.; Marino, G.; Polverino, O.; Trombetti, R. Maximum scattered linear sets of pseudoregulus type and the Segre variety $\mathcal{S}_{n,n}$. Journal of Algebraic Combinatorics, Tome 39 (2014) no. 4, pp. 807-831. http://geodesic.mathdoc.fr/item/JAC_2014__39_4_a7/