摘要
Let x=(x<sub>0</sub>, …, x<sub>n-1</sub>) be a sequence in the finite field GF（q） with length n, S<sup>i</sup>, x is the i-cyclic shift of x,i.e. S<sup>i</sup>x=(x<sub>i</sub>, x<sub>i+1</sub>, …, x<sub>i-1</sub>) （where i+1 means （i+1）rood n）. If there exists a positive integer 0【r≤n making S<sup>r</sup>x=x+（u, u, …, u） hold for some u∈GF（q）, then the r is called one of the generalized periods of this sequence x. The least one r<sub>min</sub> of such periods is called the minimum generalized period of x. In narticular, if r<sub>min</sub>=n (i. e. the
基金
Project supported by the National Natural Science Fund for Youth
