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On the classification of exceptional planar functions over F_p

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On the classification of exceptional planar functions over F_p

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dc.contributor.author Hernando, Fernando es_ES
dc.contributor.author McGuire, Gary es_ES
dc.contributor.author Monserrat Delpalillo, Francisco José es_ES
dc.date.accessioned 2015-05-21T09:06:47Z
dc.date.available 2015-05-21T09:06:47Z
dc.date.issued 2014-12
dc.identifier.issn 0046-5755
dc.identifier.uri http://hdl.handle.net/10251/50613
dc.description The final publication is available at Springer via http://dx.doi.org/10.1007/s10711-013-9926-2 es_ES
dc.description.abstract We will present many strong partial results towards a classification of exceptional planar/PN monomial functions on finite fields. The techniques we use are the Weil bound, Bézout’s theorem, and Bertini’s theorem. es_ES
dc.description.sponsorship This research was partially supported by MINECO under Grant No. MTM2012-36917-C03-03 (Spain). Research of the second author supported by the Claude Shannon Institute, Science Foundation Ireland Grant 06/MI/006. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Geometriae Dedicata es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Absolutely irreducible polynomial es_ES
dc.subject Planar function es_ES
dc.subject Perfect nonlinear function es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the classification of exceptional planar functions over F_p es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s10711-013-9926-2
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2012-36917-C03-03/ES/SINGULARIDADES E INFORMACION. APLICACIONES A CAMPOS VECTORIALES Y CODIGOS CORRECTORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/SFI/Claude Shannon Institute for Mathematics and Communications/06%2FMI%2F006/EU/On the Classification of Exceptional Planar Functions over {F}_{p}/
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Hernando, F.; Mcguire, G.; Monserrat Delpalillo, FJ. (2014). On the classification of exceptional planar functions over F_p. Geometriae Dedicata. 173(1):1-35. https://doi.org/10.1007/s10711-013-9926-2 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://link.springer.com/article/10.1007/s10711-013-9926-2 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 35 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 173 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 278486
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Science Foundation Ireland
dc.contributor.funder European Commission
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