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Commutative semifields of rank 2 over their middle nucleus

Autor
Ball, S.; Lavrauw, M.
Tipus d'activitat
Presentació treball a congrés
Nom de l'edició
Sixth International Conference on Finite Fields and Applications
Any de l'edició
2001
Data de presentació
2001-03-01
Llibre d'actes
Finite fields with applications to coding theory, cryptography and related areas
Pàgina inicial
1
Pàgina final
21
Editor
Springer
DOI
978-3-540-43961-5
Repositori
http://hdl.handle.net/2117/18891 Obrir en finestra nova
URL
http://www.springer.com/new+%26+forthcoming+titles+(default)/book/978-3-540-43961-5 Obrir en finestra nova
Resum
This article is about finite commutative semifields that are of rank 2 over their middle nucleus, the largest subset of elements that is a finite field. These semifields have a direct correspondence to certain flocks of the quadratic cone in PG(3, q) and to certain ovoids of the parabolic space Q(4, q). We shall consider these links, the known examples and non-existence results.
Citació
Ball, S.; Lavrauw, M. Commutative semifields of rank 2 over their middle nucleus. A: Finite Fields and Applications. "Finite fields with applications to coding theory, cryptography and related areas". Oaxaca: Springer, 2001, p. 1-21.
Grup de recerca
GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics

Participants