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math.CO2026
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…
math.CO2023
Determination of hyperovals by lines through a few points
Zhiguo Ding, Michael E. Zieve
If S is a set of q+2 points in P^2(F_q) such that some point of S is not on any line containing two other points of S, then in suitable coordinates S has the form S_f:={(c:f(c):1)…