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math.NT2025
Some classes of permutation pentanomials
Zhiguo Ding, Michael E. Zieve
For each prime p other than 3, and each power q=p^k, we present two large classes of permutation polynomials over F_{q^2} of the form X^r B(X^{q-1}) which have at most five terms,…
math.NT2022
Determination of a class of permutation quadrinomials
Zhiguo Ding, Michael E. Zieve
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…
math.NT2021
Connecting two types of representations of a permutation of $\F_q$
Zhiguo Ding
In this paper, we connect two types of representations of a permutation of the finite field $\F_q$. One type is algebraic, in which the permutation is represented as the compos…