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arXiv · 2605.19094

A Note on the Asymptotic Least Density of Covering Codes in $[q]^n$

Andrey Shapiro
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Abstract

In this short note we revisit the upper bound of the asymptotic least density of covering codes of radius $R$ in $[q]^n$ established by Krivelevich, Sudakov, and Vu. We show that by using a slightly different optimization in their core theorem we can obtain a constant factor improvement to their upper bound.

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Andrey Shapiro. 2026-05-18. A Note on the Asymptotic Least Density of Covering Codes in $[q]^n$. https://arxiv.org/abs/2605.19094

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