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

Fuente: arXiv
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Autori principali: Li, Zhipeng, Ma, Wenjie, Zhang, Zhifang
Natura: Preprint
Pubblicazione: 2025
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author Li, Zhipeng
Ma, Wenjie
Zhang, Zhifang
author_facet Li, Zhipeng
Ma, Wenjie
Zhang, Zhifang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_06912
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Rate-Optimal Streaming Codes over Three-Node Relay Networks with Burst Erasures
Li, Zhipeng
Ma, Wenjie
Zhang, Zhifang
Information Theory
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.
title Rate-Optimal Streaming Codes over Three-Node Relay Networks with Burst Erasures
topic Information Theory
url https://arxiv.org/abs/2509.06912