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- W2023684076 abstract "Let C be a conjugation class of permutations of a finite field F q . We consider the function N C ( q ) defined as the number of permutations in C for which the associated permutation polynomial has degree <q−2. In 1969, Wells proved a formula for N [3] ( q ) where [ k ] denotes the conjugation class of k -cycles. We will prove formulas for N [ k ] ( q ) where k =4,5,6 and for the classes of permutations of type [2 2],[3 2],[4 2],[3 3] and [2 2 2]. Finally in the case q =2 n , we will prove a formula for the classes of permutations which are product of 2-cycles." @default.
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- W2023684076 date "2002-10-01" @default.
- W2023684076 modified "2023-10-18" @default.
- W2023684076 title "Enumerating Permutation Polynomials I: Permutations with Non-Maximal Degree" @default.
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- W2023684076 doi "https://doi.org/10.1006/ffta.2002.0362" @default.
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