Network Oblivious Transfer via Noisy Channels: Limits and Capacities

Fuente: arXiv
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Autores principales: Aghaee, Hadi, Akhbari, Bahareh, Deppe, Christian
Formato: Preprint
Publicado: 2025
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author Aghaee, Hadi
Akhbari, Bahareh
Deppe, Christian
author_facet Aghaee, Hadi
Akhbari, Bahareh
Deppe, Christian
contents In this paper, we study the information-theoretic limits of oblivious transfer via noisy channels. We also investigate oblivious transfer over a noisy multiple-access channel with two non-colluding senders and a single receiver. The channel is modeled through correlations among the parties, who may be honest-but-curious or, in the case of the receiver, potentially malicious. We first revisit the information-theoretic limits of two-party oblivious transfer and then extend these results to the multiple-access setting. For honest-but-curious participants, we introduce a multiparty protocol that reduces a general multiple access channel to a suitable correlation model. In scenarios with a malicious receiver, we characterize an achievable oblivious transfer rate region.
format Preprint
id arxiv_https___arxiv_org_abs_2501_17021
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Network Oblivious Transfer via Noisy Channels: Limits and Capacities
Aghaee, Hadi
Akhbari, Bahareh
Deppe, Christian
Information Theory
Cryptography and Security
In this paper, we study the information-theoretic limits of oblivious transfer via noisy channels. We also investigate oblivious transfer over a noisy multiple-access channel with two non-colluding senders and a single receiver. The channel is modeled through correlations among the parties, who may be honest-but-curious or, in the case of the receiver, potentially malicious. We first revisit the information-theoretic limits of two-party oblivious transfer and then extend these results to the multiple-access setting. For honest-but-curious participants, we introduce a multiparty protocol that reduces a general multiple access channel to a suitable correlation model. In scenarios with a malicious receiver, we characterize an achievable oblivious transfer rate region.
title Network Oblivious Transfer via Noisy Channels: Limits and Capacities
topic Information Theory
Cryptography and Security
url https://arxiv.org/abs/2501.17021