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A Fully Distributed Proactively Secure Threshold-Multisignature Scheme

机译：完全分布式的主动安全阈值多重签名方案

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摘要

Threshold-multisignature schemes combine the properties of threshold group-oriented signature schemes and multisignature schemes to yield a signature scheme that allows a threshold (t) or more group members to collaboratively sign an arbitrary message. In contrast to threshold group signatures, the individual signers do not remain anonymous, but are publicly identifiable from the information contained in the valid threshold-multisignature. The main objective of this paper is to propose such a secure and efficient threshold-multisignature scheme. The paper uniquely defines the fundamental properties of threshold-multisignature schemes and shows that the proposed scheme satisfies these properties and eliminates the latest attacks to which other similar schemes are subject. The efficiency of the proposed scheme is analyzed and shown to be superior to its counterparts. The paper also proposes a discrete logarithm based distributed-key management infrastructure (DKMI), which consists of a round optimal, publicly verifiable, distributed-key generation (DKG) protocol and a one round, publicly verifiable, distributed-key redistribution/updating (DKRU) protocol. The round optimal DKRU protocol solves a major problem with existing secret redistribution/updating schemes by giving group members a mechanism to identify malicious or faulty share holders in the first round, thus avoiding multiple protocol executions.
机译：阈值多重签名方案结合了面向阈值组的签名方案和多重签名方案的特性，以产生一种签名方案，该方案允许阈值（t）或更多组成员共同签名任意消息。与阈值组签名相反，各个签名者不会保持匿名，而是可以从有效阈值多重签名中包含的信息中公开识别。本文的主要目的是提出一种安全有效的阈值多重签名方案。该论文唯一定义了阈值多重签名方案的基本属性，并表明所提出的方案满足了这些属性，并消除了其他类似方案所遭受的最新攻击。分析所提出方案的效率，并证明其优于同类方案。本文还提出了一种基于离散对数的分布式密钥管理基础结构（DKMI），该基础结构由一轮最佳，可公开验证的分布式密钥生成（DKG）协议和一轮可公开验证的分布式密钥重新分配/更新（ DKRU）协议。一轮最佳DKRU协议通过在第一轮中为组成员提供一种识别恶意或有缺陷的股东的机制，从而解决了现有秘密重新分配/更新方案的主要问题，从而避免了多个协议的执行。

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