Improvement of Green-Hohenberger Adaptive Oblivious Transfer: A Review
Zhengjun Cao, Lihua Liu · International journal of network security · 2015
In TCC’2011, Green and Hohenberger proposed an adaptive oblivious transfer (OT) scheme based on Decisional 3-Party Die-Hellman (3DDH) assumption. The encryption used in the scheme is a combination of Boneh-Boyen identity-based encryption and a variation of HohenbergerWaters signature. The OT scheme is somewhat inecient because it combines the two underlying schemes in a very simple way without making any optimizations. In this paper, we present a review on the Green-Hohenberger OT scheme and put forth a concrete improvement. We also show its security under 3DDH assumption. We think the optimizing skills developed in the paper are helpful for designing and analyzing other cryptographic schemes.