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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.17582 |
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| _version_ | 1866910541449003008 |
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| author | Koepke, Duncan Schnell, Michaela Pierre, Madelyn St. Beemer, Allison |
| author_facet | Koepke, Duncan Schnell, Michaela Pierre, Madelyn St. Beemer, Allison |
| contents | In this paper we study $γ$ partial correction over a $t$-user arbitrarily varying multiple-access channel (AV-MAC). We first present necessary channel conditions for the $γ$ 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 $γ$ partial correction error, noting that the flexibility of $γ$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17582 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Authenticated partial correction over AV-MACs: toward characterization and coding Koepke, Duncan Schnell, Michaela Pierre, Madelyn St. Beemer, Allison Information Theory Combinatorics In this paper we study $γ$ partial correction over a $t$-user arbitrarily varying multiple-access channel (AV-MAC). We first present necessary channel conditions for the $γ$ 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 $γ$ partial correction error, noting that the flexibility of $γ$ 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. |
| title | Authenticated partial correction over AV-MACs: toward characterization and coding |
| topic | Information Theory Combinatorics |
| url | https://arxiv.org/abs/2407.17582 |