{"id":625071,"date":"2019-12-03T01:47:00","date_gmt":"2019-12-03T09:47:00","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&p=625071"},"modified":"2019-12-03T01:47:00","modified_gmt":"2019-12-03T09:47:00","slug":"laconic-oblivious-transfer-and-its-applications","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/laconic-oblivious-transfer-and-its-applications\/","title":{"rendered":"Laconic Oblivious Transfer and its Applications"},"content":{"rendered":"

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<\/mi><\/math>\">D<\/span><\/span><\/span><\/span>\u00a0(of length M<\/mi><\/math>\">M<\/span><\/span><\/span><\/span>) via a short message. Subsequently, a single short message by a sender allows the receiver to learn m_{D[L]}, where the messages m<\/mi>0<\/mn><\/msub>,<\/mo>m<\/mi>1<\/mn><\/msub><\/math>\">m_0, m_1 <\/span><\/span><\/span><\/span><\/span>and the location L<\/mi>∈<\/mo>[<\/mo>M<\/mi>]<\/mo><\/math>\">L\\in[M]<\/span><\/span><\/span><\/span> are dynamically chosen by the sender. All prior constructions of OT required the receiver’s outgoing message to grow with D<\/mi><\/math>\">D<\/span><\/span><\/span><\/span>.<\/p>\n

Our key contribution is an instantiation of this primitive based on the Decisional Diffie-Hellman (DDH) assumption in the common reference string (CRS) model. The technical core of this construction is a novel use of somewhere statistically binding (SSB) hashing in conjunction with hash proof systems. Next, we show applications of laconic OT to non-interactive secure computation on large inputs and multi-hop homomorphic encryption for RAM programs.<\/p>\n","protected":false},"excerpt":{"rendered":"

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\u00a0(of length M) via a short message. Subsequently, a single short message by a sender allows the 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