Deterministic Z-interference channels with unidirectional partial cribbing

We consider the problem of communicating over Z-interference channels when the interfering transmitter can overhear the signal of the other transmitter strictly causally. We focus on the deterministic case and characterize the capacity region in this case. The optimal coding scheme that we present is far simpler than currently known schemes for this setting. Motivated by this result, we present another way of viewing the Han-Kobayashi scheme for the interference channel, which can be easier to tweak in more general settings.