19 citations · 25 across the 17 of their papers we have counts for
17 papers
Several classes of permutation pentanomials
Zhiguo Ding
For each prime and each power , we present two large classes of permutation polynomials over $\F_{q^2}$ of the form which have at most five terms, where…
A new construction of permutation polynomials over
Zhiguo Ding, Xu Song, Wei Xiong
We determine all permutation polynomials among several families of polynomials over for arbitrary prime powers . We obtain some new families of permutation po…
Determination of all complete mappings of F_{q^2} of the form aX^{3q}+bX^{2q+1}+cX^{q+2}+dX^3
Zhiguo Ding, Wei Xiong, Michael E. Zieve
For each prime power q, we determine all polynomials over F_{q^2} of the form f(X) := aX^{3q}+bX^{2q+1}+cX^{q+2}+dX^3 which induce complete mappings of F_{q^2}, in the sense that e…
Exceptional extensions of local fields and the Carlitz--Wan conjecture
Zhiguo Ding, Wei Xiong, Qifan Zhang
For any prime power , a polynomial $f(X)\in\F_q[X]$ is ``exceptional'' if it induces bijections of $\F_{q^k}$ for infinitely many ; this condition is known to be equivalent t…
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,…
On sums of powers of consecutive squares over finite fields, and sums of distinct values of polynomials
Zhiguo Ding, Michael E. Zieve
For each odd prime power q, and each integer k, we determine the sum of the k-th powers of all elements x in F_q for which both x and x+1 are squares in F_q^*. We also solve the an…