Efficient $k$-out-of-$n$ Oblivious Transfer Scheme with the Ideal Communication Cost

Abstract

n this paper, we propose a two-round k-out-of-n oblivious transfer scheme with the minimum communication cost. In our proposed scheme, the messages sent by the receiver R to the sender S consist of only three elements, which is independent of n and k, while the messages from S to R are (n + 1) elements when the sender holds n secrets. Our scheme features a nice property of universal parameter, where the system parameter can be used by all senders and receivers. The proposed k-out-of-n oblivious transfer scheme is the most efficient two-round scheme in terms of the number of messages transferred between two communicating parties in known constructions. The scheme preserves the privacy of receiver's choice and sender's security.

Rongmao Chen

PhD., Associate Professor