In this paper we study a family of scattered $\F_q$-linear sets of rank $tn$ of the projective space $PG(2n???1,q^t)$ ($n???1,t???3$), called of pseudoregulus type, 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 ${\cal S}_{n,n}$ / Lunardon, Guglielmo; Marino, G.; Polverino, O.; Trombetti, Rocco. - In: JOURNAL OF ALGEBRAIC COMBINATORICS. - ISSN 0925-9899. - (2014), pp. 807-831. [10.1007/s10801-013-0468-3]
Maximum scattered linear sets of pseudoregulus type and the Segre variety ${\cal S}_{n,n}$
LUNARDON, GUGLIELMO;G. Marino;TROMBETTI, ROCCO
2014
Abstract
In this paper we study a family of scattered $\F_q$-linear sets of rank $tn$ of the projective space $PG(2n???1,q^t)$ ($n???1,t???3$), called of pseudoregulus type, 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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