On generalized Rédei functions

A generalization of Rédei functions to polynomial vectors in n indeterminates over finite fields or residue class rings of integers is given by considering special types of polynomial vectors. Properties such as polynomial composition, change of basis, group structure and fixed points are studied to...

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Main Authors: R. Matthews, R. Lidl
Format: Article
Language:English
Published: Wiley 1988-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171288000766
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author R. Matthews
R. Lidl
author_facet R. Matthews
R. Lidl
author_sort R. Matthews
collection DOAJ
description A generalization of Rédei functions to polynomial vectors in n indeterminates over finite fields or residue class rings of integers is given by considering special types of polynomial vectors. Properties such as polynomial composition, change of basis, group structure and fixed points are studied together with applications in cryptography.
format Article
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institution OA Journals
issn 0161-1712
1687-0425
language English
publishDate 1988-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-1ea39b4d424d4d43800b84dc7e2338752025-08-20T02:03:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111462563410.1155/S0161171288000766On generalized Rédei functionsR. Matthews0R. Lidl1Department of Mathematics, University of Tasmania, Hobart, Tasmania 7001, AustraliaDepartment of Mathematics, University of Tasmania, Hobart, Tasmania 7001, AustraliaA generalization of Rédei functions to polynomial vectors in n indeterminates over finite fields or residue class rings of integers is given by considering special types of polynomial vectors. Properties such as polynomial composition, change of basis, group structure and fixed points are studied together with applications in cryptography.http://dx.doi.org/10.1155/S0161171288000766permutation polynomialscryptosystems.
spellingShingle R. Matthews
R. Lidl
On generalized Rédei functions
International Journal of Mathematics and Mathematical Sciences
permutation polynomials
cryptosystems.
title On generalized Rédei functions
title_full On generalized Rédei functions
title_fullStr On generalized Rédei functions
title_full_unstemmed On generalized Rédei functions
title_short On generalized Rédei functions
title_sort on generalized redei functions
topic permutation polynomials
cryptosystems.
url http://dx.doi.org/10.1155/S0161171288000766
work_keys_str_mv AT rmatthews ongeneralizedredeifunctions
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