In this paper, we characterize the coefficients of f (x)= x+ a 1 xs 1 (2 m− 1)+ 1+ a 2 xs 2 (2 m−
1)+ 1+ a 3 xs 3 (2 m− 1)+ 1 over F 2 2 m that lead f (x) to be a permutation of F 2 2 m for the …

We determine all permutation polynomials over F q 2 F_q^2 of the form X r A (X q− 1)
X^rA(X^q-1) where, for some QQ that is a power of the characteristic of F q F_q, we have r≡ …

Over the past several years, there are numerous papers about permutation polynomials of
the form xrh (xq− 1) over F q 2. A bijection between the multiplicative subgroup μ q+ 1 of F q …

Let q= 2 m. In this paper, we propose several classes of permutation pentanomials of the
form ϵ 0 xd 0+ L (ϵ 1 xd 1+ ϵ 2 xd 2) over F qn (2≤ n≤ 4) from some certain linearized …

We determine all permutation polynomials over F_ {q^ 2} of the form X^ r A (X^{q-1}) where,
for some Q which is a power of the characteristic of F_q, the integer r is congruent to Q+ 1 …

In recent years, there have been a lot of research towards finding conditions under which the
trinomial xr (x α (q− 1)+ x β (q− 1)+ 1) permutes F 2 2 m with α> β and r being positive …

In this paper, we construct three classes of permutation quadrinomials with Niho exponents
of the form f (x)= α 0 xr+ α 1 xs 1 (pm-1)+ r+ α 2 xs 2 (pm-1)+ r+ α 3 xs 3 (pm-1)+ r∈ F pn [x] …

In this paper, by transforming the permutation problem into the root distribution problem in
the unit circle of certain quadratic and cubic equations, we investigate the permutation …

Let F q denote the finite field of order q. In this paper, we investigate the permutation
property of the trinomial x (p-1) q+ 1+ α x pq+ xq+ p-1 over F q 2, where α∈ F q∗ and q= pk …

Let $ q= 2^ m. $ In a recent paper\cite {Zhang3}, Zhang and Zheng investigated several
classes of permutation pentanomials of the form $\epsilon_0x^{d_0}+ L (\epsilon_ {1} …