In this paper, we find three classes of complete permutation polynomials over finite fields of even characteristic. The first class of quadrinomials is complete in the sense of addition. The second and third classes of binomials and trinomials are complete in multiplication. Moreover, a result related to the complete property in multiplication of a special class of polynomials is also given.

中文翻译：

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偶数有限域上的几类完全置换多项式

在本文中，我们发现了偶数有限域上的三类完全置换多项式。第一类四项式在加法意义上是完整的。二项式和三项式的第二和第三类是相乘的。此外，还给出了与一类特殊的多项式相乘的完全性质有关的结果。