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arXiv · 2506.03361

Multishot Capacity of Networks with Restricted Adversaries

Giuseppe Cotardo·Gretchen L. Matthews·Alberto Ravagnani·Julia Shapiro
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Abstract

We investigate adversarial network coding and decoding, focusing on the multishot regime and when the adversary is restricted to operate on a vulnerable region of the network. Errors can occur on a proper subset of the network edges and are modeled via an adversarial channel. The paper contains both bounds and capacity-achieving schemes for the Diamond Network, the Mirrored Diamond Network, and generalizations of these networks. We also initiate the study of the capacity of 3-level networks in the multishot setting by computing the multishot capacity of the Butterfly Network, considered in [IEEE Transactions on Information Theory, vol. 69, no. 6, 2023], which is a variant of the network introduced by Ahlswede, Cai, Li and Yeung in 2000.

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Giuseppe Cotardo, Gretchen L. Matthews, Alberto Ravagnani, Julia Shapiro. 2025-06-03. Multishot Capacity of Networks with Restricted Adversaries. https://arxiv.org/abs/2506.03361

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