scholarly journals The compositional inverse of a class of bilinear permutation polynomials over finite fields of characteristic 2

2013 ◽  
Vol 24 ◽  
pp. 136-147 ◽  
Author(s):  
Baofeng Wu ◽  
Zhuojun Liu
Keyword(s):  
Finite Fields ◽  
Permutation Polynomials ◽  
Polynomials Over Finite Fields ◽  
Characteristic 2 ◽  
Compositional Inverse

On permutation polynomials over finite fields of characteristic 2

2016 ◽  
Vol 15 (07) ◽  
pp. 1650133 ◽  
Author(s):  
Rohit Gupta ◽  
R. K. Sharma
Keyword(s):  
Finite Field ◽  
Finite Fields ◽  
Permutation Polynomial ◽  
Permutation Polynomials ◽  
Polynomials Over Finite Fields ◽  
Characteristic 2 ◽  
Polynomial Formula

Let [Formula: see text] denotes the finite field of order [Formula: see text] where [Formula: see text] A permutation polynomial [Formula: see text] over [Formula: see text] with [Formula: see text] and [Formula: see text] such that for each [Formula: see text] is a permutation polynomial satisfying [Formula: see text] is called a o-polynomial. In this paper, we determine all o-polynomials up to degree [Formula: see text].

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

2019 ◽  
Vol 19 (04) ◽  
pp. 2050067
Author(s):  
Pınar Ongan ◽  
Burcu Gülmez Temür
Keyword(s):  
Finite Fields ◽  
Permutation Polynomials ◽  
Polynomials Over Finite Fields ◽  
Complete Permutation Polynomials

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].

scholarly journals Some new results on permutation polynomials over finite fields

2016 ◽  
Vol 83 (2) ◽  
pp. 425-443 ◽  
Author(s):  
Jingxue Ma ◽  
Tao Zhang ◽  
Tao Feng ◽  
Gennian Ge
Keyword(s):  
Finite Fields ◽  
Permutation Polynomials ◽  
Polynomials Over Finite Fields
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