周期序列的极小多项式

Minimal polynomials of periodic sequences

根据分圆多项式在有限域上的分解 ,给出并证明了生成给定最小周期序列的极小多项式的一个特征定理 。

On the basis of the decomposition of the polynomial 1-x N over a finite field, a characterization theorem of the minimal polynomials generating a sequence with a given minimal period is presented and proved. The result is helpful to the analysis and design of stream cipher.