In this paper, permutation polynomials of the form $x^d+L(x^s)$ over finite fields ${\mathbb{F}}_{q^3}$ are investigated, where $q=2^m$ and m is a positive integer. By means of the iterative method, the multivariate method and the resultant elimination, six classes of permutation trinomials are obtained from certain integers d, s and linearized polynomials $L(x)$. It is also showed that the permutations proposed in this paper are quasi-multiplicative inequivalent to all known permutation trinomials over ${\mathbb{F}}_{q^3}$.

中文翻译：

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Fq3 上形式为 xd + L(xs) 的置换多项式

在本文中，形式为的置换多项式 $X^d+升(X^{秒})$ 在有限域上 ${\mathbb{F}}_{q^3}$ 被调查，其中 $q=2^{米}$和米是一个正整数。通过迭代法、多元法和结果消元法，从某些整数d、s和线性化多项式得到六类置换三项式$升(X)$. 还表明，本文提出的排列是拟乘法不等价于所有已知的排列三项式${\mathbb{F}}_{q^3}$.