<p>The Rédei function defined over a field of even characteristic has been introduced by Nöbauer in 1986. In this paper, inspired by the work of Fu et al. in odd characteristic, employing the AGW criterion, we present a recursive construction of permutation polynomials in even characteristic using the Rédei function over a field of characteristic 2.</p>

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A construction of permutation polynomials using Rédei function in even characteristic

  • Daniel Panario,
  • Nihal Uyar,
  • Qiang Wang

摘要

The Rédei function defined over a field of even characteristic has been introduced by Nöbauer in 1986. In this paper, inspired by the work of Fu et al. in odd characteristic, employing the AGW criterion, we present a recursive construction of permutation polynomials in even characteristic using the Rédei function over a field of characteristic 2.