距离向量是本原σ-LFSR序列的重要参数,但目前关于距离向量的研究还很少。该文基于距离向量,首先证明了m=2时采样猜想是正确的,然后对本原σ-LFSR的采样性质进行了研究,最后给出了Z本原σ-LFSR序列和本原σ-LFSR序列新的构造方法。
Interval vector is a crucial parameter of primitive σ-LFSR,but the reserch about the interval vector is little.Based on interval vector,the correctness of decimation conjecture is first proved when,and then some properties about the decimation sequence are given.Finally some new methods are given to construct Z-primitive σ-LFSR and primitive σ-LFSR sequences.