Corrigendum to ``Enumerating permutation polynomials. I: Permutations with non-maximal degree''
In [Finite Fields Appl. 8, No. 4, 531--547 (2002; Zbl 1029.11068)], the authors gave the asymptotic number of permutation polynomials in \(\mathbb{F}_q[x]\) having degree \(<q-2\) and corresponding to permutations of a prescribed cycle type. The statement of Proposition 5.1 is not correct in the case of transpositions, three-cycles, and products of two transpositions. In this paper, the revised version of Proposition 5.1 is given.
permutation polynomials over finite fields
scientific article; zbMATH DE number 5126009