International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Aron van Baarsen

Publications

Year
Venue
Title
2021
ASIACRYPT
On Time-Lock Cryptographic Assumptions in Abelian Hidden-Order Groups 📺
Aron van Baarsen Marc Stevens
In this paper we study cryptographic finite abelian groups of unknown order and hardness assumptions in these groups. Abelian groups necessitate multiple group generators, which may be chosen at random. We formalize this setting and hardness assumptions therein. Furthermore, we generalize the algebraic group model and strong algebraic group model from cyclic groups to arbitrary finite abelian groups of unknown order. Building on these formalizations, we present techniques to deal with this new setting, and prove new reductions. These results are relevant for class groups of imaginary quadratic number fields and time-lock cryptography build upon them.

Coauthors

Marc Stevens (1)