Fixed points of the dickson polynomials of the second kind

Adama Diene; Mohamed A. Salim

doi:10.1155/2013/472350

Fixed points of the dickson polynomials of the second kind

Adama Diene, Mohamed A. Salim

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The permutation behavior of Dickson polynomials of the first kind has been extensively studied, while such behavior for Dickson polynomials of the second kind is less known. Necessary and sufficient conditions for a polynomial of the second kind to be a permutation over some finite fields have been established by Cohen, Matthew, and Henderson. We introduce a new way to define these polynomials and determine the number of their fixed points.

Original language	English
Article number	472350
Journal	Journal of Applied Mathematics
Volume	2013
DOIs	https://doi.org/10.1155/2013/472350
Publication status	Published - 2013

ASJC Scopus subject areas

Applied Mathematics

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10.1155/2013/472350

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AB - The permutation behavior of Dickson polynomials of the first kind has been extensively studied, while such behavior for Dickson polynomials of the second kind is less known. Necessary and sufficient conditions for a polynomial of the second kind to be a permutation over some finite fields have been established by Cohen, Matthew, and Henderson. We introduce a new way to define these polynomials and determine the number of their fixed points.

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Fixed points of the dickson polynomials of the second kind

Abstract

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