Let C be a four-weight binary code, which has all one vector. Furthermore, we assume that C supports t-designs for all weights obtained from the Assmus–Mattson theorem. We previously showed that \(t\le 5\). In the present paper, we show an analogue of this result in the cases of five and six-weight codes.

中文翻译：

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关于某些二进制代码的 Assmus–Mattson 定理的注释 II

令C为一个四权重二进制代码，它具有所有一个向量。此外，我们假设C支持从 Assmus–Mattson 定理获得的所有权重的t设计。我们之前表明\(t\le 5\)。在本文中，我们展示了在五权重代码和六权重代码的情况下该结果的模拟。