Journal of Applied Mathematics

Fixed Points of the Dickson Polynomials of the Second Kind

Adama Diene and Mohamed A. Salim

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 472350, 7 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394807933

Digital Object Identifier
doi:10.1155/2013/472350

Mathematical Reviews number (MathSciNet)
MR3039748

Zentralblatt MATH identifier
1266.33010

Citation

Diene, Adama; Salim, Mohamed A. Fixed Points of the Dickson Polynomials of the Second Kind. J. Appl. Math. 2013 (2013), Article ID 472350, 7 pages. doi:10.1155/2013/472350. https://projecteuclid.org/euclid.jam/1394807933


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