Journal of Xidian University
Oblivious transfer with extractors
Boting Yang
Abstract
Reductions among oblivious transfers have a long history in cryptography. This paper describes a 21-OT~k protocol that can be reduced to a single execution of UOT by using privacy amplification with extractors. An extractor allows to efficiently isolate the randomness of some source into virtually-random bits, using a small number of perfectly-random bits as a catalyst. With extractors, less information is transmitted and the leaked information is at most 2~(-n~(-1/2-o(1))) bits. The conditions under which the protocol is unconditionally secure are investigated.