The calculation of the weight distribution for some reducible cyclic codes can be reduced down to the corresponding one of a particular kind of irreducible cyclic codes. This reduction is achieved by means of a known identity (see [3,Theorem 1.1]). In fact, as will be shown here, the weight distribution of some families of reducible cyclic codes, recently reported in several works ([2,5,7,11,12]), and that of others not previously reported, can be obtained almost directly by means of this identity.

中文翻译：

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通过一些不可约循环码的权重分布可归约循环码族的权重分布

某些可归约循环码的权重分布的计算可以简化为特定种类的不可约循环码的对应值。这种减少是通过已知身份实现的（请参阅[3，定理1.1]。实际上，如此处所示，最近在一些著作中报道了一些可还原循环码家族的权重分布（[2，5，7，11，12]）以及以前未报告的其他内容，几乎可以通过此身份直接获得。