Paper 2025/2089

Traceable Bottom-Up Secret Sharing and Law & Order on Community Social Key Recovery (Full Version)

Abstract

A recent work by Kate et al. [EPRINT 2025] proposes a community-based social recovery scheme (SKR), where key-owners can use a subset of other community members as guardians, and in exchange, they play guardians to support other participants' key recovery. Their construction relies on a new concept called bottom-up secret sharing (BUSS). However, they do not consider a crucial feature, called traceability, which ensures that if more than a threshold number of the guardians collude, at least some colluders' identities can be traced -- thereby deterring participants from colluding. In this paper, we incorporate traceability into the community social key recovery as an important feature. We first introduce the notion of traceable BUSS, which allows tracing colluders by accessing a reconstruction box. Then, extending the work of Boneh et al. [CRYPTO 2024], we propose the first traceable BUSS construction. Finally, we show how to generically use a traceable BUSS scheme to construct a traceable SKR in the aforementioned community setting. Overall, this is the first scheme combining decentralized key management with traceability, marrying BUSS’s scalability with the deterrence of traceable secret sharing.