论文标题

阈值ECDA与离线恢复派对

Threshold ECDSA with an Offline Recovery Party

论文作者

Battagliola, Michele, Longo, Riccardo, Meneghetti, Alessio, Sala, Massimiliano

论文摘要

$(t,n) - $阈值签名方案在$ n $ players中启用分布式签名,以便任何大小$ t $的子组都可以签名,而任何较少播放器的组都无法签名。我们的目标是产生与现有的集中式签名方案兼容的签名:密钥生成和签名算法被各方之间的通信协议取代,但是验证算法与使用集中式算法发布的签名相同。从R. Gennaro和S. Goldfeder引起的ECDSA签名的阈值方案开始,我们提供了第一个协议,该协议在关键一代阶段在不依赖受信任的第三方的情况下支持与离线参与者的多方签名。遵循公认的方法,我们证明了我们的计划安全,以防止自适应恶意对手。

A $(t,n)-$ threshold signature scheme enables distributed signing among $n$ players such that any subgroup of size $t$ can sign, whereas any group with fewer players cannot. Our goal is to produce signatures that are compatible with an existing centralized signature scheme: the key generation and signature algorithm are replaced by a communication protocol between the parties, but the verification algorithm remains identical to that of a signature issued using the centralized algorithm. Starting from the threshold schemes for the ECDSA signature due to R. Gennaro and S. Goldfeder, we present the first protocol that supports multiparty signatures with an offline participant during the Key Generation Phase, without relying on a trusted third party. Following well-established approaches, we prove our scheme secure against adaptive malicious adversaries.

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