利用本原σ-LFSR序列的迹表示得到了其采样序列的距离向量;通过对比m-序列的采样性质,指出本原σ-LFSR序列采样的区别并得到了其为本原的一个充要条件,最后给出了本原σ-LFSR序列采样的线性复杂度等若干特性。
In this paper, the interval vector of a sampling sequence is given with the trace representation of primitive σ-LFSR sequences; by contrasting with the sampling properties of m-sequences, the differences of the primitive σ-LFSR sequences are illuminated and a sufficient and necessary condition is obtained. Finally, several sampling properties of one primitive σ-LFSR sequence such as the linear complexity are offered.