Abstract Let 𝐹 be a finite field, and for any integer k ≥ 0 k 0, let p k p₊ be the power function on 𝐹 defined by p k (x) = x k p₊ (x) =x^k. We determine the group of CCZ automorphisms of p k p₊, i. e. the group of invertible affine transformations which preserve the graph of p k p₊.
Ulrich Dempwolff (Thu,) studied this question.