The Generalized Translation Dual of a Semifield.

Autor: Lunardon, G., Marino, G., Polverino, O., Trombetti, R.
Předmět:
Zdroj: Annals of Combinatorics; Dec2017, Vol. 21 Issue 4, p629-643, 15p
Abstrakt: In this paper, elaborating on the link between semifields of dimension n over their left nucleus and $${\mathbb{F}s}$$ -linear sets of rank en disjoint from the secant variety $${\Omega(\mathcal{S}_{n,n})}$$ of the Segre variety $${\mathcal{S}_{n,n}}$$ of $${PG(n^2-1, q), q=s^e}$$ , we extend some operations on semifield whose definition relies on dualising the relevant linear set. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index