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arXiv · 2503.08948

An upper bound on the size of a code with $s$ distances

Ivan Landjev·Konstantin Vorobev
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Abstract

Let $C$ be a binary code of length $n$ with distances $0<d_1<\cdots<d_s\le n$. In this note we prove a general upper bound on the size of $C$ without any restriction on the distances $d_i$. The bound is asymptotically optimal.

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Ivan Landjev, Konstantin Vorobev. 2025-03-11. An upper bound on the size of a code with $s$ distances. https://arxiv.org/abs/2503.08948

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