恰好具有两个周期的有限域上的线性递归
Linear Recurrences over a Finite Field with Exactly Two Periods
摘要：
本文研究了周期不一定是最大的有限域线性递归序列的周期结构，并给出了特征多项式\(f\)恰好有两个周期的充要条件，即由\(f\)生成的序列的周期是1或唯一大于大于1的整数.
英文摘要：
In this paper, we study the periodicity structure of finite field linear recurring sequences whose period is not necessarily maximal and determine necessary and sufficient conditions for the characteristic polynomial~\(f\) to have exactly two periods in the sense that the period of any sequence generated by~\(f\) is either one or a unique integer greater than one.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
