A Class of New Permutation Polynomials over
F
2
n
In this paper, according to the known results of some normalized permutation polynomials with degree 5 over F 2 n , we determine sufficient and necessary conditions on the coefficients b 1 , b 2 ∈ F 2 n 2 such that f x = x 3 x ¯ 2 + b 1 x 2 x ¯ + b 2 x permutes F 2 n . Meanwhile, we obtain a class of complete permutation binomials over F 2 n .
1998 ◽
Vol 57
(2)
◽
pp. 243-252
◽
2017 ◽
Vol E100.A
(9)
◽
pp. 2013-2020
2019 ◽
Vol 75
(6)
◽
pp. 814-826