Sobre certos tipos de polinômios de permutação

In this work, some results regarding permutation polynomials over finite fields will be explored. Initially we will introduce some preliminary concepts about finite fields to later present some criteria to determine when a polynomial over a certain finite field is a permutation one and, finally, we...

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Detalles Bibliográficos
Autor: Pinheiro, Gabriel de Freitas
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2022
País:Brasil
Institución:Universidade Federal de Uberlândia (UFU)
Repositorio:Repositório Institucional da UFU
Idioma:portugués
OAI Identifier:oai:repositorio.ufu.br:123456789/34300
Acceso en línea:https://repositorio.ufu.br/handle/123456789/34300
http://doi.org/10.14393/ufu.di.2021.666
Access Level:acceso abierto
Palabra clave:Corpos finitos
Finite fields
Polinômios de permutação
Permutation polynomials
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRA::GEOMETRIA ALGEBRICA
Matemática
Geometria
Álgebra
Polinômios
Descripción
Sumario:In this work, some results regarding permutation polynomials over finite fields will be explored. Initially we will introduce some preliminary concepts about finite fields to later present some criteria to determine when a polynomial over a certain finite field is a permutation one and, finally, we will show some special classes of these polynomials.