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arXiv · 2606.12178

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products

Ilya Lobatskii·Yakov Shubin
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Abstract

Let $M \subset \{0,\pm1\}^n$ be a set such that $(m,m)=4$ for every $m\in M$, and $(m_1,m_2)\in\{-4,-3,-2,-1,0,3\}$ for any two distinct vectors $m_1,m_2\in M$. We determine the maximum possible cardinality of such a set $M$ for all sufficiently large $n$.

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Ilya Lobatskii, Yakov Shubin. 2026-06-10. On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products. https://arxiv.org/abs/2606.12178

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