准确地说，在经过一个适当的状态空间基底变换后该条件通过能稳性和能检测性概念表述。

Precisely, after a proper change of basis in the state space the condition can be expressed in terms of the notions of stabilizability and detectability.

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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。

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.

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