Permutation and local permutation polynomials of maximum degree
Let Fq be the finite field with q elements and Fq [x1, . . . , xn] the ring of polynomials in n variables over Fq . In this paper we consider permutation polynomials and local permutation polynomials over Fq [x1, . . . , xn], which define interesting generalizations of permutations over finite field...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/35837 |
| Acceso en línea: | https://hdl.handle.net/10902/35837 |
| Access Level: | acceso abierto |
| Palabra clave: | Permutation polynomial Dickson polynomial Local permutation polynomials Finite Fields |
| Sumario: | Let Fq be the finite field with q elements and Fq [x1, . . . , xn] the ring of polynomials in n variables over Fq . In this paper we consider permutation polynomials and local permutation polynomials over Fq [x1, . . . , xn], which define interesting generalizations of permutations over finite fields. We are able to construct permutation polynomials in Fq [x1, . . . , xn] of maximum degree n(q - 1) -1 and local permutation polynomials in Fq [x1, . . . , xn] of maximum degree n(q - 2) when q > 3, extending previous results |
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