有限域F_8上正形置换多项式的计数

Enumeration of orthormorphic permutation polynomials in finite field F_8

利用有限域上多项式理论的有关结果 ,得到了有限域F8上的置换多项式是正形置换多项式的一个判定定理 。

With some results of polynomial theory in finite field, a criterion theorem for a permutation polynomial to be an orthormorphic permutation polynomial is presented. Furthermore, by using this theorem, the detailed expression and enumeration of the orthormorphic permutation polynomials in finite field F 8 are obtained.