On the oblivious transfer capacity region of the binary erasure broadcast channel

We study oblivious transfer (OT) using a binary erasure broadcast channel from Alice to Bob and Charlie. Alice wants to establish independent OTs with Bob and Charlie with 2-privacy, i.e., where secrecy needs to be maintained even against pairs of parties in addition to against parties working on their own. We give an achievable rate-region in the honest-but-curious setting and show its optimality for a range of erasure probabilities.