Paper Info
Title
On The Tu-Zeng Permutation Trinomial Of Type (1/4,3/4)
Abstract
Let q be a power of 2. Recently, Tu and Zeng considered trinomials of the form f (X) = X + aX((1/4)q2(q-1)) bX((3/4)q2(q-1)), where a, b is an element of F-q2* They proved that f is a permutation polynomial of F-q2 if b = a(2-q) and X-3 + X + a(-1-q) has no root in F-q. In this paper, we show that the above sufficient condition is also necessary. (C) 2020 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.disc.2020.112241
DISCRETE MATHEMATICS
Keywords
DocType
Volume
Finite field, Hasse-Weil bound, Permutation polynomial, Rational function, Resultant
Journal
344
Issue
ISSN
Citations 
3
0012-365X
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Xiang-Dong Hou100.34