Automorphism groups of power functions
Abstract
Abstract Let 𝐹 be a finite field, and for any integer k ≥ 0 k\geq 0 , let p k p_{k} be the power function on 𝐹 defined by p k ( x ) = x k p_{k}(x)=x^{k} . We determine the group of CCZ automorphisms of p k p_{k} , i.e. the group of invertible affine transformations which preserve the graph of p k p_{k} .
Fields of Study & Subjects
Coding theory and cryptography
Finite Group Theory Research
Limits and Structures in Graph Theory
Publication details
- Journal / source
- Journal of Group Theory
- Publisher
- Walter de Gruyter GmbH
- Publication date
- 22 January 2026
- Language
- EN