An Observation about Variations of the Diffie-Hellman Assumption
Raghav Bhaskar, Karthekeyan Chandrasekaran, Satyanaryana V. Lokam, Peter L. Montgomery, Ramarathnam Venkatesan, Yacov Yacobi · Serdica Journal of Computing · 2009
We generalize the Strong Boneh-Boyen (SBB) signature scheme to sign vectors; we call this scheme GSBB. We show that if a particular (but most natural) average case reduction from SBB to GSBB exists, then the Strong Diffie-Hellman (SDH) and the Computational Diffie-Hellman (CDH) have the same worst-case complexity.