Rate-Optimal Streaming Codes over Three-Node Relay Networks with Burst Erasures

Zhipeng Li; Wenjie Ma; Zhifang Zhang

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arXiv · 2509.06912

Rate-Optimal Streaming Codes over Three-Node Relay Networks with Burst Erasures

Zhipeng Li·Wenjie Ma·Zhifang Zhang

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Abstract

This paper investigates streaming codes over three-node relay networks under burst packet erasures with a delay constraint $T$. In any sliding window of $T+1$ consecutive packets, the source-to-relay and relay-to-destination channels may introduce burst erasures of lengths at most $b_1$ and $b_2$, respectively. Singhvi et al. proposed a construction achieving the optimal code rate when $\max\{b_1,b_2\}\mid (T-b_1-b_2)$. We construct streaming codes with the optimal rate under the condition $T\geq b_1+b_2+\frac{b_1b_2}{|b_1-b_2|}$, thereby enriching the family of rate-optimal streaming codes for three-node relay networks.

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Zhipeng Li, Wenjie Ma, Zhifang Zhang. 2025-09-08. Rate-Optimal Streaming Codes over Three-Node Relay Networks with Burst Erasures. https://arxiv.org/abs/2509.06912

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