Let p be a prime number. Reducible cyclic codes of rank 2 over \(\mathbb {Z}_{p^m}\) are shown to have exactly two Hamming weights in some cases. Their weight distribution is computed explicitly. When these codes are projective, the coset graphs of their dual codes are strongly regular. The spectra of these graphs are determined.

中文翻译：

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可约循环码的强正则图

令p为质数。在某些情况下，在\（\ mathbb {Z} _ {p ^ m} \）上的秩2的可约循环码显示为正好具有两个汉明权重。它们的权重分布是明确计算的。当这些代码是投影的时，它们的双重代码的陪集图是强规则的。确定这些图的光谱。