A note on the Assmus--Mattson theorem for some ternary codes (a resume)

September 15, 2023 · The Ethereal · + Add venue

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Authors Eiichi Bannai, Tsuyoshi Miezaki, Hiroyuki Nakasora arXiv ID 2309.08081 Category math.CO: Combinatorics Cross-listed cs.IT Citations 0 Last Checked 3 months ago
Abstract
Let $C$ be a two and three-weight ternary code. Furthermore, we assume that $C_\ell$ are $t$-designs for all $\ell$ by the Assmus--Mattson theorem. We show that $t \leq 5$. As a corollary, we provide a new characterization of the (extended) ternary Golay code.
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