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arXiv · 2407.17582

Authenticated partial correction over AV-MACs: toward characterization and coding

Duncan Koepke·Michaela Schnell·Madelyn St. Pierre·Allison Beemer
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Abstract

In this paper we study $\gamma$ partial correction over a $t$-user arbitrarily varying multiple-access channel (AV-MAC). We first present necessary channel conditions for the $\gamma$ partially correcting authentication capacity region to have nonempty interior. We then give a block length extension scheme which preserves positive rate tuples from a short code with zero probability of $\gamma$ partial correction error, noting that the flexibility of $\gamma$ partial correction prevents pure codeword concatenation from being successful. Finally, we offer a case study of a particular AV-MAC satisfying the necessary conditions for partial correction.

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Duncan Koepke, Michaela Schnell, Madelyn St. Pierre, Allison Beemer. 2024-07-24. Authenticated partial correction over AV-MACs: toward characterization and coding. https://arxiv.org/abs/2407.17582

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