由于伴随多项式系数的特点，决定了它的根具有特殊性。

Since the characteristic of its coefficient, adjoint polynomials'roots has some specific property.

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并通过比较这些极值图的最小根得到此类连通图族伴随多项式最小根的序。

Moreover, some ordering relations are determined by comparing the minimum roots of these extreme graphs.

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运用该方法可以快速而准确地计算出纠错码生成多项式的系数序列以及差错伴随式。

Using this method, the rapid and efficient computation for the coefficients of the generating polynomial and syndrome polynomials can be conducted.

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