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Babb, J., Goodell, B., Parker, L., Salazar, R., Slaughter, F., & Szramowski, L. (2025). FROSTLASS: Flexible Ring-Oriented Schnorr-like Thresholdized Linkably Anonymous Signature Scheme. Unpublished manuscript. 
Added by: Rucknium (18/03/2025, 18:45)   Last edited by: Rucknium (18/03/2025, 18:49)
Resource type: Manuscript
BibTeX citation key: Babb2025
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Categories: Monero-focused
Creators: Babb, Goodell, Parker, Salazar, Slaughter, Szramowski
Collection: Cypher Stack
Views: 109/109
Attachments   frostlass.pdf [19/19] URLs   https://github.com/cypherstack/frostlass
Abstract
Over the past decades, especially since Shamir’s secret sharing and Shoup’s threshold signatures, ([10], [11]) research into threshold and multiparty cryptographic schemes of different flavors has become fashionable. In [2], for example, Bellare and Neven famously proposed a framework to formalize multisignatures and to prove them secure with the generalized forking lemma.

The general forking lemma, which goes back at least to [8], is useful in proving a wide variety of modern cryptographic schemes secure, including ring signatures preceding [12] and the bulletproofs zero-knowledge proving system proposed in [3].

Concise linkable spontaneous anonymous group (CLSAG) signatures, proposed in [5] and built from the (LSAG) signatures from [9], are Schnorr-like ring signatures used in the Monero cryptocurrency protocol. A naive thresholdization of CLSAG signatures, called thring signatures, was proposed in [4], building off of the linkable spontaneous anonymous group (LSAG) signatures , which are used in the Monero cryptocurrency protocol. The FROST approach to thresholdizing Schnorr signatures, first described in [7], is sufficiently flexible to work for CLSAG signatures, and are superior to the thring signatures of [4].

An opinionated Rust implementation of every major component of the Monero protocol at [6], written by Luke Parker (kayabaNerve), contains an implementation of FROSTLASS. Herein, we formalize FROSTLASS, present a novel definition of linkability, and prove FROSTLASS strongly unforgeable up to the hardness of the κ-one-more discrete logarithm problem, and statistically linkable.


  
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