An observation about variations of the Diffie-Hellman assumption
- Raghav Bhaskar ,
- Kathekeyan Chandrasekaran ,
- Satya Lokam ,
- Peter Montgomery ,
- Ramarathnam Venkatesan ,
- Yacov Yacobi
Serdica Journal of Computing |
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.