Corrigendum to ``Enumerating permutation polynomials. I: Permutations with non-maximal degree'' (Q865391)

From MaRDI portal





scientific article; zbMATH DE number 5126009
Language Label Description Also known as
English
Corrigendum to ``Enumerating permutation polynomials. I: Permutations with non-maximal degree''
scientific article; zbMATH DE number 5126009

    Statements

    Corrigendum to ``Enumerating permutation polynomials. I: Permutations with non-maximal degree'' (English)
    0 references
    0 references
    0 references
    14 February 2007
    0 references
    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.
    0 references
    permutation polynomials over finite fields
    0 references
    non-maximal degree
    0 references
    cycle type
    0 references
    0 references

    Identifiers