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Corrigendum to “Enumerating permutation polynomials. I: Permutations with non-maximal degree”. (English) Zbl 1122.11084
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.
MSC:
11T06 Polynomials over finite fields
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[1] R. Lidl, H. Niederreiter, Finite fields, Encyclopedia of Mathematics and Applications, vol. 20, Addison-Wesley, Reading, MA, 1983. · Zbl 0554.12010
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