In this paper, eight classes of complete permutation polynomials with Niho exponents are proposed. Based on certain polynomials over ${\mathbb{F}}_{q^2}$ whose $(q-1)$-th powers are 1 or monomials on the unit circle, three classes of complete permutation polynomials are obtained. In addition, we completely characterize the complete permutation properties of five classes of known permutation trinomials.

中文翻译：

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具有Niho指数的几类完全置换多项式

本文提出了八类具有Niho指数的完全置换多项式。基于某些多项式${\mathbb{F}}_{q^2}$ 谁的 $（q-\mathrm{1个}）$第二次方是单位圆上的1或单项式，则获得了三类完全置换多项式。另外，我们完全表征了五类已知置换三项式的完整置换性质。