Title
Bits Security of the CDH Problems over Finite Fields.
Abstract
It is a long-standing open problem to prove the existence of deterministic hard-core predicates for the Computational Diffie-Hellman CDH problem over finite fields, without resorting to the generic approaches for any one-way functions e.g., the Goldreich-Levin hard-core predicates. Fazio et al. FGPS, Crypto﾿'13 made important progress on this problem by defining a weaker Computational Diffie-Hellman problem over﾿$$\\mathbb {F}_{p^2}$$Fp2, i.e., Partial-CDH problem, and proving, when allowing changing field representations, the unpredictability of every single bit of one of the coordinates of the secret Diffie-Hellman value. In this paper, we show that all the individual bits of the CDH problem over $$\\mathbb {F}_{p^2}$$Fp2 and almost all the individual bits of the CDH problem over $$\\mathbb {F}_{p^t}$$Fpt for﾿$$t>2$$t>2 are hard-core.
Year
Venue
DocType
2015
SAC
Conference
Citations 
PageRank 
References 
1
0.36
0
Authors
3
Name
Order
Citations
PageRank
Mingqiang Wang1710.35
Tao Zhan2638.51
Haibin Zhang311818.58