On a conjecture of Fernando, Hou and Lappano concerning permutation polynomials over finite fields

2019 ◽  
Vol 56 ◽  
pp. 58-92 ◽  
Author(s):  
Wun-Seng Chou ◽  
Xiang-dong Hou
Keyword(s):  
Finite Fields ◽  
Permutation Polynomials ◽  
Polynomials Over Finite Fields

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

scholarly journals Permutation polynomials over finite fields involvingx+xq+⋯+xqa−1

2014 ◽  
Vol 315-316 ◽  
pp. 173-184 ◽  
Author(s):  
Neranga Fernando ◽  
Xiang-dong Hou ◽  
Stephen D. Lappano
Keyword(s):  
Finite Fields ◽  
Permutation Polynomials ◽  
Polynomials Over Finite Fields
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