Let $C$ be a four-weight code, which has all one vector. Furthermore, we assume that $C_\ell$ are $t$-designs for all $\ell$ by the Assmus--Mattson theorem. We previously showed that $t\leq 5$. In the present paper, we show an analogue of this result in the cases of five and six-weight codes.

翻译：让$C成为四重代码,它包含一个矢量。此外,我们假设$C 美元是Assmus-Mattson定理中所有美元价值的美元设计元。我们以前曾展示过$leq 5美元。在本文中,我们用五和六重代码来模拟这一结果。