ON SOME CLASSES OF PERMUTATION POLYNOMIALS-Reference-Cited by-同舟云学术

ON SOME CLASSES OF PERMUTATION POLYNOMIALS

Published:2008-02 Issue:01 Volume:04 Page:121-133
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

AKBARY AMIR¹,ALARIC SEAN¹,WANG QIANG²

Affiliation:

1. Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Drive West, Lethbridge, Alberta, T1K 3M4, Canada

2. School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, K1S 5B6, Canada

Abstract

Let p be a prime and q = pm. We investigate permutation properties of polynomials P(x) = xr + xr+s + ⋯ + xr+ks (0 < r < q - 1, 0 < s < q - 1, and k ≥ 0) over a finite field 𝔽q. More specifically, we construct several classes of permutation polynomials of this form over 𝔽q. We also count the number of permutation polynomials in each class.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042108001249

Reference9 articles.

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4. Encyclopedia of Mathematics and Its Applications;Lidl R.,1997

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