Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic
Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic
复制标题
DOI：
10.1016/j.ffa.2020.101754
复制
发表时间：
2020-12
期刊：
影响因子：
--
通讯作者：
Lijing Zheng;Haibin Kan;Jie Peng
中科院分区：
文献类型：
--
作者：
Lijing Zheng;Haibin Kan;Jie Peng
本文考虑了有限域f22 m上两类指数为niho型的置换三项式。得到了表征置换三项式系数的几个充分条件。我们的数值结果表明，该类的这些充分条件也是必要的。
In this paper, we consider two classes of permutation trinomials with Niho-type exponents over the finite field F 2 2 m. Some sufficient conditions are obtained to characterize the coefficients of the permutation trinomials. Our numerical result suggests that those sufficient conditions for one class are also necessary.