On Oblivious Transfer Capacity of Noisy Multiple Access Channel

This work investigates the problem of Oblivious Transfer (OT) over a noisy Multiple Access Channel (MAC) involving two non-colluding senders and a single receiver. The channel model is characterized by correlations among the parties, with the parties assumed to be either honest-but-curious or, in the receiver's case, potentially malicious. We propose a multiparty protocol for honest-but-curious parties where the general MAC is reduced to a certain correlation. In scenarios where the receiver is malicious, the protocol achieves an achievable rate region.
Comment: 23 pages, 3 Figures. A short version of this paper is submitted to the ISIT2025