We investigate pairs of permutations F, GF,G of F pn F_p^n such that F (x+ a)− G (x) F(x+a)-
G(x) is a permutation for every a∈ F pn a∈F_p^n. We show that, in that case, necessarily G …

In this paper, a hierarchical neural network power source model is used to conduct an in‐
depth analysis and research on human capital technology innovation and revenue …

The cross-correlation between two maximum length sequences (-sequences) of the same
period has been studied since the end of 1960s. One open conjecture by Helleseth states …

In this paper, several classes of complete permutation polynomials with the form (xpm− x+ δ)
s+ axp m+ bx over F pn are proposed by the AGW criterion and determining the number of …

In this paper, eight classes of complete permutation polynomials with Niho exponents are
proposed. Based on certain polynomials over F q 2 whose (q− 1)-th powers are 1 or …

Applications of permutation polynomials in cryptography are closely related to their cycle
structures. For example, many block ciphers use permutation polynomials defined over F 2 n …

In this paper, we find three classes of complete permutation polynomials over finite fields of
even characteristic. The first class of quadrinomials is complete in the sense of addition. The …

For a prime p and positive integers m, n, let F _q F q be a finite field with q= p^ mq= pm
elements and F _ q^ n F qn be an extension of F _q. F q. Let h (x) be a polynomial over F …

In this paper, we further push the studies on permutation polynomials over the finite fields F
q 2 with q= 2 m. We find the coefficients of f (x)= x+ a 1 xs 1 (q− 1)+ 1+ a 2 xs 2 (q− 1)+ 1+ a 3 …

In this paper, we investigate some classes of complete permutation polynomials (CPPs) with
the form (L 1 (x)) t+ L 2 (x) for some specific linearized polynomials L 1 (x) and L 2 (x) over …