An Interval Vector Based Research on the Primitive-LFSR Sequences

Interval vector is a crucial parameter of primitive-LFSR, but the reserch about the interval vector is little. Based on interval vector, the correctness of decimation conjecture is first proved when m=2, and then some properties about the decimation sequence are given. Finally some new methods are given to construct Z- primitive-LFSR and primitive-LFSR sequences.