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arXiv · 2305.03521

A Construction of Permutation Polynomials Using R\'{e}dei Function in Even Characteristic

Daniel Panario·Nihal Uyar·Qiang Wang
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Abstract

The R\'{e}dei function defined over a field of even characteristic has been introduced by N\"{o}bauer in 1986 \cite{even}. In this paper, inspired by the work of Fu et al. \cite{wang} in odd characteristic, employing the AGW criterion \cite{agw}, we present a recursive construction of permutation polynomials in even characteristic using the R\'{e}dei function over a field of characteristic 2.

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Daniel Panario, Nihal Uyar, Qiang Wang. 2023-05-05. A Construction of Permutation Polynomials Using R\'{e}dei Function in Even Characteristic. https://arxiv.org/abs/2305.03521

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