Permutation polynomials of the form x+γTrqqn(h(x))

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Abstract

In this paper, we investigate permutation polynomials of the form x+γTrqqn(h(x)) over Fqn, which is a further study on a recent work of Kyureghyan and Zieve. Inspired by their computational examples, we present several new permutation polynomials over Fqn based on some known permutations.

MSC

05A05
11T06
11T55

Keywords

Finite field
Permutation polynomial
Trace function

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