Simulatable adaptive oblivious transfer

Ref: Jan Camenisch, Gregory Neven, and abhi shelat. In M. Naor, editor, Advances in Cryptology - EUROCRYPT 2007, volume 4515 of Lecture Notes in Computer Science, pages 573-590. Springer-Verlag, 2007.

Abstract: We study an adaptive variant of oblivious transfer in which a sender has N messages, of which a receiver can adaptively choose to receive k one-after-the-other, in such a way that (a) the sender learns nothing about the receiverís selections, and (b) the receiver only learns about the k requested messages. We propose two practical protocols for this primitive that achieve a stronger security notion than previous schemes with comparable efficiency. In particular, by requiring full simulatability for both sender and receiver security, our notion prohibits a subtle selective-failure attack not addressed by the security notions achieved by previous practical schemes. Our first protocol is a very efficient generic construction from unique blind signatures in the random oracle model. The second construction does not assume random oracles, but achieves remarkable efficiency with only a constant number of group elements sent during each transfer. This second construction uses novel techniques for building efficient simulatable protocols.

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