Sequences of numbers via permutation polynomials over some finite rings

Abstract A polynomial can represent every function from a finite field to itself. The functions which are also permutations of the field give rise to permutation polynomials, which have potential applications in cryptology and coding theory. Permutation polynomials over finite rings are studied with...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Vadiraja Bhatta,G. R., Shankar,B. R., Mishra,Vishnu Narayan, Poojary,Prasanna
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	Permutation polynomial Ring Statistical tests Cryptography
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501295
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:scielo:S0716-09172020000501295
record_format	dspace
spelling	oai:scielo:S0716-091720200005012952020-11-16Sequences of numbers via permutation polynomials over some finite ringsVadiraja Bhatta,G. R.Shankar,B. R.Mishra,Vishnu NarayanPoojary,Prasanna Permutation polynomial Ring Statistical tests Cryptography Abstract A polynomial can represent every function from a finite field to itself. The functions which are also permutations of the field give rise to permutation polynomials, which have potential applications in cryptology and coding theory. Permutation polynomials over finite rings are studied with respect to the sequences they generate. The sequences obtained through some permutation polynomials are tested for randomness by carrying out known statistical tests. Random number generation plays a major role in cryptography and hence permutation polynomials may be used as random number generators.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.5 20202020-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501295en10.22199/issn.0717-6279-2020-05-0079
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Permutation polynomial Ring Statistical tests Cryptography
spellingShingle	Permutation polynomial Ring Statistical tests Cryptography Vadiraja Bhatta,G. R. Shankar,B. R. Mishra,Vishnu Narayan Poojary,Prasanna Sequences of numbers via permutation polynomials over some finite rings
description	Abstract A polynomial can represent every function from a finite field to itself. The functions which are also permutations of the field give rise to permutation polynomials, which have potential applications in cryptology and coding theory. Permutation polynomials over finite rings are studied with respect to the sequences they generate. The sequences obtained through some permutation polynomials are tested for randomness by carrying out known statistical tests. Random number generation plays a major role in cryptography and hence permutation polynomials may be used as random number generators.
author	Vadiraja Bhatta,G. R. Shankar,B. R. Mishra,Vishnu Narayan Poojary,Prasanna
author_facet	Vadiraja Bhatta,G. R. Shankar,B. R. Mishra,Vishnu Narayan Poojary,Prasanna
author_sort	Vadiraja Bhatta,G. R.
title	Sequences of numbers via permutation polynomials over some finite rings
title_short	Sequences of numbers via permutation polynomials over some finite rings
title_full	Sequences of numbers via permutation polynomials over some finite rings
title_fullStr	Sequences of numbers via permutation polynomials over some finite rings
title_full_unstemmed	Sequences of numbers via permutation polynomials over some finite rings
title_sort	sequences of numbers via permutation polynomials over some finite rings
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501295
work_keys_str_mv	AT vadirajabhattagr sequencesofnumbersviapermutationpolynomialsoversomefiniterings AT shankarbr sequencesofnumbersviapermutationpolynomialsoversomefiniterings AT mishravishnunarayan sequencesofnumbersviapermutationpolynomialsoversomefiniterings AT poojaryprasanna sequencesofnumbersviapermutationpolynomialsoversomefiniterings
_version_	1718439884598804480

Sequences of numbers via permutation polynomials over some finite rings

Ejemplares similares