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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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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

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Título: On the classification of exceptional planar functions over F_p
Autor: Hernando, Fernando McGuire, Gary Monserrat Delpalillo, Francisco José
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
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.
Palabras clave: Absolutely irreducible polynomial , Planar function , Perfect nonlinear function
Derechos de uso: Reserva de todos los derechos
Fuente:
Geometriae Dedicata. (issn: 0046-5755 )
DOI: 10.1007/s10711-013-9926-2
Editorial:
Springer Verlag (Germany)
Versión del editor: http://link.springer.com/article/10.1007/s10711-013-9926-2
Código del Proyecto:
info:eu-repo/grantAgreement/MINECO//MTM2012-36917-C03-03/ES/SINGULARIDADES E INFORMACION. APLICACIONES A CAMPOS VECTORIALES Y CODIGOS CORRECTORES/
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}/
Descripción: The final publication is available at Springer via http://dx.doi.org/10.1007/s10711-013-9926-2
Agradecimientos:
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.
Tipo: Artículo

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