Symplectic spreads and permutation polynomials

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/18893

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	Zieve, Michael
dc.date	2004
dc.identifier.citation	Ball, S.; Zieve, M. Symplectic spreads and permutation polynomials. A: International Conference on Finite Fields and Applications. "Finite Fields and Applications". Toulouse: Springer, 2004, p. 79-88.
dc.identifier.citation	978-3-540-21324-6
dc.identifier.uri	http://hdl.handle.net/2117/18893
dc.language.iso	eng
dc.publisher	Springer
dc.relation	http://www.springer.com/computer/theoretical+computer+science/book/978-3-540-21324-6?cm_mmc=Google-_-Book%20Search-_-Springer-_-0
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	algebra
dc.subject	Àlgebra abstracta
dc.title	Symplectic spreads and permutation polynomials
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/conferenceObject
dc.description.abstract	Every symplectic spread of PG(3, q), or equivalently every ovoid of Q(4, q), is shown to give a certain family of permutation polynomials of GF(q) and vice-versa. This leads to an algebraic proof of the existence of the Tits-L¨uneburg spread of W(22h+1) and the Ree-Tits spread of W(32h+1), as well as to a new family of low-degree permutation polynomials over GF(32h+1).

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