本文给出有限域上多项式周期存在的构造性证明，利用它可求出多项式的周期。
This paper gives a constructive proof of existence of period of polynomials infinite field. Using it we can also find the period of polynomials.
本文给出了有限域上多项式的友矩阵的某些性质，及其在计算线性移位寄存器序列的周期和循环码的最小长度的应用。
This paper gives some properties of companion matrix of polynomial over finite field with its application for evaluating period of linear shift register sequence and minimal length of cyclic code.
本文给出了有限域上单变元多项式分解的一种概率算法。
A probabilistic algorithm for factoring univariate polynomials over finite fields is presented.
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