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Commutative semifields of rank 2 over their middle nucleus

Author
Ball, S.; Lavrauw, M.
Type of activity
Presentation of work at congresses
Name of edition
Sixth International Conference on Finite Fields and Applications
Date of publication
2001
Presentation's date
2001-03-01
Book of congress proceedings
Finite fields with applications to coding theory, cryptography and related areas
First page
1
Last page
21
Publisher
Springer
DOI
978-3-540-43961-5
Repository
http://hdl.handle.net/2117/18891 Open in new window
URL
http://www.springer.com/new+%26+forthcoming+titles+(default)/book/978-3-540-43961-5 Open in new window
Abstract
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.
Citation
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.
Group of research
GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics

Participants