It is proved that the parity check matrix for BCH code is a representation form in the eigenvector basis. Thus the study on cyclic codes may be brought into the framework of linear system theory.

证明了BCH码的校验矩阵是用循环变换的特征向量作基底时的一种表示形式，从而把循环码的研究纳入到线性系统理论研究的框架之中。

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It is proved that the parity check matrix for BCH code is a representation form in the eigenvector basis. Thus the study on cyclic codes may be brought into the framework of linear system theory.

证明了BCH码的校验矩阵是用循环变换的特征向量作基底时的一种表示形式，从而把循环码的研究纳入到线性系统理论研究的框架之中。

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