A specific type of permutation and complete permutation polynomials over finite fields-Reference-Cited by-同舟云学术

A specific type of permutation and complete permutation polynomials over finite fields

Published:2019-04-02 Issue:04 Volume:19 Page:2050067
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Ongan Pınar¹,Temür Burcu Gülmez²

Affiliation:

1. Institute of Applied Mathematics, Middle East Technical University, Üniversiteler Mahallesi Dumlupınar Bulvarı No: 1, Çankaya, Ankara 06800, Turkey

2. Department of Mathematics, Atılım University, Kızılcaşar Mahallesi, İncek, Ankara 06830, Turkey

Abstract

In this paper, we study polynomials of the form [Formula: see text], where [Formula: see text] and list all permutation polynomials (PPs) and complete permutation polynomials (CPPs) of this form. This type of polynomials were studied by Bassalygo and Zinoviev for the cases [Formula: see text] and [Formula: see text], Wu, Li, Helleseth and Zhang for the case [Formula: see text], [Formula: see text], Bassalygo and Zinoviev answered the question for the case [Formula: see text], [Formula: see text] and finally by Bartoli et al. for the case [Formula: see text]. Here, we determine all PPs and CPPs for the case [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949882050067X

Reference12 articles.

1. Complete permutation polynomials from exceptional polynomials

2. On monomial complete permutation polynomials

3. Permutation and complete permutation polynomials

4. One Class of Permutation Polynomials over Finite Fields of even Characteristic

5. Permutation polynomials and applications to coding theory

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