Permutations from an arithmetic setting.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorReis, Lucas-
Autor(es): dc.creatorRibas, Sávio-
Data de aceite: dc.date.accessioned2025-08-21T15:44:28Z-
Data de disponibilização: dc.date.available2025-08-21T15:44:28Z-
Data de envio: dc.date.issued2023-02-05-
Data de envio: dc.date.issued2023-02-05-
Data de envio: dc.date.issued2019-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/jspui/handle/123456789/16120-
Fonte completa do material: dc.identifierhttps://www.sciencedirect.com/science/article/pii/S0012365X20301151-
Fonte completa do material: dc.identifierhttps://doi.org/10.1016/j.disc.2020.111923-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1022986-
Descrição: dc.descriptionLet m, n be positive integers such that m > 1 divides n. In this paper, we introduce a special class of piecewise-affine permutations of the finite set [1, n] := {1, . . . , n} with the property that the reduction (mod m) of m consecutive elements in any of its cycles is, up to a cyclic shift, a fixed permutation of [1, m]. Our main result provides the cycle decomposition of such permutations. We further show that such permutations give rise to permutations of finite fields. In particular, we explicitly obtain classes of permutation polynomials of finite fields whose cycle decomposition and its inverse are explicitly given.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsrestrito-
Palavras-chave: dc.subjectCycle decomposition-
Palavras-chave: dc.subjectm-th residues-
Palavras-chave: dc.subjectFinite fields-
Título: dc.titlePermutations from an arithmetic setting.-
Aparece nas coleções:Repositório Institucional - UFOP

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