Two infinite families of $$\mathbb {Z}_4$$ -codes with two nonzero Lee weights are constructed by their generator matrices. Their Gray images are nonlinear with the same weight distribution as that of the two-weight binary codes of type SU1 in the sense of (Calderbank, Kantor, 1986).

中文翻译：

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$$\mathbb {Z}_4$$ 上的两个权重码族

具有两个非零 Lee 权重的 $$\mathbb {Z}_4$$ - 代码的两个无限族由它们的生成器矩阵构成。他们的格雷图像是非线性的，其权重分布与类型 SU1 的双权重二进制代码的权重分布相同（Calderbank, Kantor, 1986）。