In this paper, elaborating on the link between semifields of dimension n over their left nucleus and s-linear sets of rank en disjoint from the secant variety $\Omega({\mathcal S}_{n,n})$ of the Segre variety ${\mathcal S}_{n,n}$ of $PG(n2−1,q)$, $q=se$, we extend some operations on semifield whose definition relies on dualising the relevant linear set.
The generalized translation dual of a semifield / Lunardon, Guglielmo; Marino, G.; Polverino, O.; Trombetti, Rocco. - In: ANNALS OF COMBINATORICS. - ISSN 0218-0006. - 21:4(2017), pp. 629-643. [10.1007/s00026-017-0362-0]
The generalized translation dual of a semifield
LUNARDON, GUGLIELMO;G. Marino;TROMBETTI, ROCCO
2017
Abstract
In this paper, elaborating on the link between semifields of dimension n over their left nucleus and s-linear sets of rank en disjoint from the secant variety $\Omega({\mathcal S}_{n,n})$ of the Segre variety ${\mathcal S}_{n,n}$ of $PG(n2−1,q)$, $q=se$, we extend some operations on semifield whose definition relies on dualising the relevant linear set.File in questo prodotto:
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