English

Network Oblivious Transfer via Noisy Channels: Limits and Capacities

Information Theory 2025-12-23 v4 Cryptography and Security math.IT

Abstract

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.

Keywords

Cite

@article{arxiv.2501.17021,
  title  = {Network Oblivious Transfer via Noisy Channels: Limits and Capacities},
  author = {Hadi Aghaee and Bahareh Akhbari and Christian Deppe},
  journal= {arXiv preprint arXiv:2501.17021},
  year   = {2025}
}

Comments

34 pages, 3 Figures. Submitted to the IEEE transaction on information theory on 21.12.2025

R2 v1 2026-06-28T21:22:13.020Z