论文标题
置换三项元素，$ \ mathbb {f} _ {2^m} $：更正的版本
Permutation trinomials over $\mathbb{F}_{2^m}$: a corrected version
论文作者
论文摘要
置换多项式是数学的有趣主题，并在其他数学和工程领域中应用。在本文中，我们确定$ \ mathbb {f} _ {2^m} $在Zieve的论文中的所有排列。我们证明了Gupta和Sharma提出的一个猜想，并在$ \ Mathbb {F} _ {2^M} $上获得了一些新的置换三项式。最后，我们表明，具有参数的一些类别的三项置换量与一些已知的置换式三项元素相当。
Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we determine all permutation trinomials over $\mathbb{F}_{2^m}$ in Zieve's paper. We prove a conjecture proposed by Gupta and Sharma and obtain some new permutation trinomials over $\mathbb{F}_{2^m}$. Finally, we show that some classes of permutation trinomials with parameters are QM equivalent to some known permutation trinomials.
