Self-invertible cubic (quartic) permutation polynomials over z_p^n with p greater than 7 (p greater than 17) a prime and Gröbner bases
Necessary and sufficient conditions for cubic (quartic) permutation polynomials to be self-invertible over the ring Zpn where p >7 (p >17) is a prime number are given, and completely determined. The characterization of these permutations are given by relations on the coefficients of the polyno...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | México |
| Institución: | Universidad Autónoma de Yucatán |
| Repositorio: | Repositorio Digital Institucional de la Universidad Autónoma de Yucatán |
| Idioma: | inglés |
| OAI Identifier: | oai:redi.uady.mx:123456789/523 |
| Acceso en línea: | http://redi.uady.mx:8080/handle/123456789/523 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/cti/1 Permutation polynomials Gröbner basis |
| Sumario: | Necessary and sufficient conditions for cubic (quartic) permutation polynomials to be self-invertible over the ring Zpn where p >7 (p >17) is a prime number are given, and completely determined. The characterization of these permutations are given by relations on the coefficients of the polynomial which resulted in a Gröbner basis with respect to some lexicographic order of certain ideals. |
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