论文标题
有限字段的发电机有规定的迹线
Generators of finite fields with prescribed traces
论文作者
论文摘要
本文探讨了有限场扩展中原始元素在几个中间场扩展中具有规定痕迹的存在和分布。我们的主要结果提供了类似不平等的条件，以确保存在此类元素。然后，我们得出了一类特殊类别的中间扩展的具体存在结果。
This paper explores the existence and distribution of primitive elements in finite field extensions with prescribed traces in several intermediate field extensions. Our main result provides an inequality-like condition to ensure the existence of such elements. We then derive concrete existence results for a special class of intermediate extensions.
