Several classes of permutation trinomials over F5n from Niho exponents
Several classes of permutation trinomials over F5n from Niho exponents
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Niho 指数 F5n 上的几类置换三项式
DOI：
10.1007/s12095-018-0291-8
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Li Nian
中科院分区：
文献类型：
--
作者：
Wu Gaofei;Li Nian
有限域上置换三项式的构造由于其简单的形式和一些附加的性质而引起人们的兴趣。受Niho指数置换三项式的一些结果的启发，本文通过构造置换中的（q+ 1）次单位根集的新的分数次多项式，给出了几类Niho指数置换三项式，其中q = 5k.
The construction of permutation trinomials over finite fields attracts people’s interest recently due to their simple form and some additional properties. Motivated by some results on the construction of permutation trinomials with Niho exponents, in this paper, by constructing some new fractional polynomials that permute the set of the (q+ 1)-th roots of unity in, we present several classes of permutation trinomials with Niho exponents over, whereq= 5k.