Self-invertible cubic (quartic) permutation polynomials over z_p^n with p greater than 7 (p greater than 17) a prime and Gröbner bases

dc.coverage.spatial	Generación de conocimiento
dc.creator	JAVIER ARTURO DIAZ VARGAS
dc.creator	CARLOS JACOB RUBIO BARRIOS
dc.creator	HORACIO TAPIA RECILLAS
dc.date	2015-03-27
dc.date.accessioned	2018-10-04T15:08:00Z
dc.date.available	2018-10-04T15:08:00Z
dc.identifier	http://dx.doi.org/10.12988/ija.2015.5210
dc.identifier.uri	http://redi.uady.mx:8080/handle/123456789/523
dc.description.abstract	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.
dc.language	eng
dc.publisher	International Journal of Algebra
dc.relation	citation:0
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/4.0
dc.source	urn:issn:1312-8868
dc.subject	info:eu-repo/classification/cti/1
dc.subject	CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.subject	Permutation polynomials
dc.subject	Gröbner basis
dc.title	Self-invertible cubic (quartic) permutation polynomials over z_p^n with p greater than 7 (p greater than 17) a prime and Gröbner bases
dc.type	info:eu-repo/semantics/article