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Commutative semifields of rank 2 over their middle nucleus
| dc.contributor.author | Ball, Simeon Michael |
| dc.contributor.author | Lavrauw, Michel |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
| dc.date.accessioned | 2013-04-19T12:12:41Z |
| dc.date.created | 2001 |
| dc.date.issued | 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.isbn | 978-3-540-43961-5 |
| dc.identifier.uri | http://hdl.handle.net/2117/18891 |
| 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. |
| dc.format.extent | 21 p. |
| dc.language.iso | eng |
| dc.publisher | Springer |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | 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.lcsh | Finite fields |
| dc.subject.lcsh | algebra |
| dc.title | Commutative semifields of rank 2 over their middle nucleus |
| dc.type | Conference lecture |
| dc.subject.lemac | Àlgebra abstracta |
| dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
| dc.relation.publisherversion | http://www.springer.com/new+%26+forthcoming+titles+(default)/book/978-3-540-43961-5 |
| dc.rights.access | Restricted access - publisher's policy |
| local.identifier.drac | 11858078 |
| dc.description.version | Postprint (published version) |
| dc.date.lift | 10000-01-01 |
| local.citation.author | Ball, S.; Lavrauw, M. |
| local.citation.contributor | Finite Fields and Applications |
| local.citation.pubplace | Oaxaca |
| local.citation.publicationName | Finite fields with applications to coding theory, cryptography and related areas |
| local.citation.startingPage | 1 |
| local.citation.endingPage | 21 |