On piece-wise permutation polynomials
2020
In this paper we discuss piece-wise permutation polynomials (PP). The method is by combining the AGW lemma and module structure, and we get a generalized five lemma. Then we apply the results to additive and multiplicative structures of finite fields. This gives a unified treatment and a framework of extensive existing PPs in the literature. More precisely, we deal with PPs of the following forms
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