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Heng-Jia Wei

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Preprint Aug 2026

The Optimal Asymptotic Rate of Generalized Covering Codes

Let $G_q$ be an alphabet of size $q\geq2$. We determine the optimal asymptotic rate of generalized covering codes $C\subseteq G_q^n$, whose covering centers in $G_q^{t\times n}$ are constrained to the product form $C^t$. For every fixed integer $t\geq1$ and every $\rho\in[0,1]$, we prove that \[ \kappa_t(\rho,q)= \begi...

Heng Li, Chong Shangguan, Heng-Jia Wei · 3 citations
Preprint Sep 2026

Random Algebraic Geometry Codes Approach the Half-Singleton Bound for Insertions and Deletions

In this paper, we study the performance of algebraic geometry (AG) codes against adversarial insertion-deletion (insdel) errors. The half-Singleton bound states that an $[n,k]_q$ linear code can correct at most $n-2k+1$ insdel errors. It was recently proven that random Reed-Solomon codes approach this bound. However, t...

Zhi-Hao Guan, Heng-Jia Wei · 0 citations

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