We propose to achieve an information theoretically secure oblivious transfer using lattice partitions based on the additive white Gaussian noise channel. A protocol is presented and the security and efficiency is discussed.
We study the use of the additive white Gaussian noise channel to achieve oblivious transfer which is an important cryptographic primitive in multiparty computation. An efficient protocol for unconditionally secure oblivious transfer is presented. We show that channel input alphabets with a certain algebraic structure and their partitions are useful in achieving privacy for players and ensuring high efficiency of the protocol. Security and information theoretic efficiency of the protocol is investigated.
It is known that noise on communication channels can be a powerful resource for certain cryptographic purposes, basically by utilizing the randomness to ensure the secrecy. In this paper, we study information theoretically secure key agreement through the use of the additive white Gaussian noise channel and public discussion. We present a protocol for key agreement that defines the computation and communications between the two communicating parties to share a common secret information, about which negligible amount of information is revealed to other third parties. We discuss the signal design, secrecy and the achievable rate of the protocol.