论文标题
关于某些二进制代码的Assmus-Mattson定理的注释II
A note on the Assmus--Mattson theorem for some binary codes II
论文作者
论文摘要
令$ c $为四重二进制代码，它具有一个向量。此外，我们假设$ c $支持从Assmus--Mattson定理获得的所有权重的$ T $ -Designs。我们以前证明了$ t \ leq 5 $。在本文中，我们在五个和六重代码的情况下显示了这种结果的类似物。
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 $t\leq 5$. In the present paper, we show an analogue of this result in the cases of five and six-weight codes.
