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

Published 11 Mar 2025 in math.CO, cs.IT, and math.IT | (2503.08948v1)

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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