Group signature from lattices preserving forward security in dynamic setting

Abstract

We propose the first lattice-based dynamic group signature scheme achieving forward security. Our scheme is proven to be secure against framing attack, misidentification attack and preserves anonymity under the learning with errors (LWE) and short integer solution (SIS) assumptions in the random oracle model. More interestingly, our setting allows the group manager to generate distinct certificates to distinct users which can be updated by the users themselves without any interaction with the group manager. Furthermore, our scheme is dynamic where signing key of a user is not fixed during the setup and is issued only at the joining time of the user.

A survey on lattice-based digital signature

“…In static group signatures, Ling et al (2019) achieves the smallest signature and public key sizes and exhibits the best performance. Simultaneously, in partially dynamic group signatures, Kansal et al (2020) achieves the best performance by sacrificing anonymity properties. As for more practical full dynamic group signatures, Sun and Liu (2020) enhances the work of Sun et al (2019), reaching the optimal performance level.…”

Research on Quantum-Attack-Resistant Strong Forward-Secure Signature Schemes

“…Therefore, the lattice-based signature scheme with quantum-resistant attacks has become a research hotspot. Kansals et al proposed group signature from lattices preserving forward security in a dynamic setting [ 18 ]. Liao et al put forward a fully dynamic forward-secure group signature from lattice [ 19 ].…”