Laconic Oblivious Transfer and its Applications.

In this work, we introduce a novel technique for secure computation over large inputs. Specifically, we provide a new oblivious transfer (OT) protocol with a laconic receiver. Laconic OT allows a receiver to commit to a large input D (of length M) via a short message. Subsequently, a single short message by a sender allows the receiver to learn \(m_{D[L]}\), where the messages \(m_0, m_1\) and the location \(L \in [M]\) are dynamically chosen by the sender. All prior constructions of OT required the receiver’s outgoing message to grow with D.