an:05126009
Zbl 1122.11084
Malvenuto, Claudia; Pappalardi, Francesco
Corrigendum to ``Enumerating permutation polynomials. I: Permutations with non-maximal degree''
EN
Finite Fields Appl. 13, No. 1, 171-174 (2007).
00192013
2007
j
11T06
permutation polynomials over finite fields; non-maximal degree; cycle type
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.
Astrid Reifegerste (Magdeburg)
Zbl 1029.11068