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A Class of New Permutation Polynomials over F2n

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  • Qian Liu
  • Ximeng Liu
  • Jian Zou
  • Li Guo

Abstract

In this paper, according to the known results of some normalized permutation polynomials with degree 5 over F2n, we determine sufficient and necessary conditions on the coefficients b1,b2∈F2n2 such that fx=x3x¯2+b1x2x¯+b2x permutes F2n. Meanwhile, we obtain a class of complete permutation binomials over F2n.

Suggested Citation

  • Qian Liu & Ximeng Liu & Jian Zou & Li Guo, 2021. "A Class of New Permutation Polynomials over F2n," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, November.
    • Handle: RePEc:hin:jjmath:5872429
    DOI: 10.1155/2021/5872429
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