info:eu-repo/semantics/article
Self-invertible cubic (quartic) permutation polynomials over z_p^n with p greater than 7 (p greater than 17) a prime and Gröbner bases
Autor
JAVIER ARTURO DIAZ VARGAS
CARLOS JACOB RUBIO BARRIOS
HORACIO TAPIA RECILLAS
Institución
Resumen
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.