This paper considers permutation polynomials over the finite field $F_{q^2}$ in even characteristic by utilizing low-degree permutation rational functions over $F_q$. As a result, we obtain two classes of permutation binomials and six classes of permutation pentanomials over $F_{q^2}$. Additionally, we show that the obtained binomials and pentanomials are quasi-multiplicative inequivalent to the known ones in the literature.

翻译：本文利用有限域$F_q$上的低次置换有理函数，研究了偶数特征有限域$F_{q^2}$上的置换多项式。作为结果，我们得到了$F_{q^2}$上的两类置换二项式与六类置换五项式。此外，我们证明了所得到的二项式与五项式在拟乘法意义下与文献中已知的置换多项式不等价。