与在向量空间上构造的方法比，有限域上置换多项式的代数次数等性质更容易研究。

Compared to the construction over vector space, it is easier to study the properties of permutation polynomials, like algebraic degree.

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因此，有限域上的置换多项式一直是一个重要的研究课题，关于这一课题的研究至少有140年的历史。

Hence the research on permutation polynomials has been an important subject for at least 140 years, especially from 70s of the last century for the necessary of the study of cryptography.

youdao

因此，有限域上的置换多项式一直是一个重要的研究课题，关于这一课题的研究至少有140年的历史。

Hence the research on permutation polynomials has been an important subject for at least 140 years, especially from 70s of the last century for the necessary of the study of cryptography.

youdao