Answers are grounded in this paper and cite their sources.
Investigates complete permutation polynomials over finite fields, suggesting new polynomial forms.
In this paper, we investigate two classes of complete permutation polynomials over finite fields [Formula: see text]. The first class of complete permutation polynomial is of the form [Formula: see text]. In this class, for a fixed [Formula: see text], we find four values of [Formula: see text] [Formula: see text] for which [Formula: see text] is a complete permutation polynomial over [Formula: see text] for every polynomial [Formula: see text]. The second class of complete permutation polynomial is of the form [Formula: see text]. We characterize this class for several specific values of [Formula: see text] and [Formula: see text].
No takes yet. Share an insight, caveat, or question.
Singh et al. (2026) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: