Title
PRF-ODH: Relations, Instantiations, and Impossibility Results.
Abstract
The pseudorandom-function oracle-Diffie-Hellman (PRF-ODH) assumption has been introduced recently to analyze a variety of DH-based key exchange protocols, including TLS 1.2 and the TLS 1.3 candidates, as well as the extended access control (EAC) protocol. Remarkably, the assumption comes in different flavors in these settings and none of them has been scrutinized comprehensively yet. In this paper here we therefore present a systematic study of the different PRF-ODH variants in the literature. In particular, we analyze their strengths relative to each other, carving out that the variants form a hierarchy. We further investigate the boundaries between instantiating the assumptions in the standard model and the random oracle model. While we show that even the strongest variant is achievable in the random oracle model under the strong Diffie-Hellman assumption, we provide a negative result showing that it is implausible to instantiate even the weaker variants in the standard model via algebraic black-box reductions to common cryptographic problems.
Year
DOI
Venue
2017
10.1007/978-3-319-63697-9_22
ADVANCES IN CRYPTOLOGY - CRYPTO 2017, PT III
DocType
Volume
ISSN
Conference
10403
0302-9743
Citations 
PageRank 
References 
3
0.40
20
Authors
4
Name
Order
Citations
PageRank
Jacqueline Brendel151.45
Marc Fischlin2170992.71
Felix Günther31058.14
Christian Janson452.79