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利用线性反馈移位寄存器 ( L FSR)的生成多项式的矩阵表示 ,通过对该矩阵的特征向量分析 ,给出了线性反馈移位寄存器输出结果的明确表达式 ,其中的系数完全依赖于初始输入值及其极小多项式的互反多项式的根。所得结果对 L FSR的性质作了更进一步的揭示 ,比已知的结论更明确
The linear feedback shift register (LFSR) is used to generate the polynomial matrix representation. Through the eigenvector analysis of the matrix, the explicit expression of the linear feedback shift register output is obtained. The coefficients are completely dependent on the initial input value Roots of Reciprocal Polynomials with Minimal Polynomials. The results obtained further revealed the nature of L FSR, more clearly than the known conclusion