Commutative semifields of rank 2 over their middle nucleus

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.contributor	Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
dc.contributor.author	Ball, Simeon Michael
dc.contributor.author	Lavrauw, Michel
dc.date	2001
dc.identifier.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.
dc.identifier.citation	978-3-540-43961-5
dc.identifier.citation	978-3-540-43961-5
dc.identifier.uri	http://hdl.handle.net/2117/18891
dc.language.iso	eng
dc.publisher	Springer
dc.relation	http://www.springer.com/new+%26+forthcoming+titles+(default)/book/978-3-540-43961-5
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis
dc.subject	Finite fields
dc.subject	algebra
dc.subject	Àlgebra abstracta
dc.title	Commutative semifields of rank 2 over their middle nucleus
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/conferenceObject
dc.description.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.

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