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Generic construction of threshold ring signatures and lattice-based instantiations




TekijätLin, Hao; Wang, Mingqiang; Wen, Weiqiang; Sun, Shi-Feng; Liang, Kaitai

KustantajaSpringer Science and Business Media LLC

Julkaisuvuosi2025

Lehti: Designs, Codes and Cryptography

Vuosikerta93

Numero9

Aloitussivu3955

Lopetussivu4017

ISSN0925-1022

eISSN1573-7586

DOIhttps://doi.org/10.1007/s10623-025-01660-6

Julkaisun avoimuus kirjaamishetkelläEi avoimesti saatavilla

Julkaisukanavan avoimuus Osittain avoin julkaisukanava

Verkko-osoitehttps://doi.org/10.1007/s10623-025-01660-6


Tiivistelmä
A t-out-of-n threshold ring signature allows t parties to jointly sign a message on behalf of n parties without revealing the identities of the signers. In this paper, we introduce a new generic construction for threshold ring signature, called GC-TRS, which can be built on top of a selection on identification schemes, commitment schemes, and a new primitive called t-out-of-n proof protocol which is a special type of zero-knowledge proof. In general, our design enables a group of t signers to first generate an aggregated signature by interacting with each other; then they are able to compute a t-out-of-n proof to convince the verifier that the aggregated signature is indeed produced by t individuals among a particular set. The signature is succinct, as it contains only one aggregated signature and one proof in the final signature. We define all the properties required for the building blocks to capture the security of the GC-TRS and provide a detailed security proof. Furthermore, we propose two lattice-based instantiations for the GC-TRS, named LTRS and CTRS, respectively. Notably, the CTRS scheme is the first scheme that has a logarithmic signature size relative to the ring size. Additionally, during the instantiation process, we construct two t-out-of-n proof protocols, which may be of independent interest.



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