The identity-based signature (IBS) scheme is one of the most promising secure and widely used cryptographic primitives for electronic commerce applications. For example, ID-based signing in a multi-party setting, without ever revealing any private and secret information, has received considerable interest in distributed applications such as a global manufacturer. However, there is no practical solution for such a group setting (e.g. more than two parties). Therefore, in this study, the authors present the first distributed identity-based signing protocol for the global electronic commerce system. Specifically, the authors' designed protocol allows a group of parties to generate the signature in a decentralised and fair manner. They also prove that their proposed protocol is secure against a malicious adversary under the discrete logarithm and decisional Diffie-Hellman assumptions. Moreover, they implement the protocol using the MIRACL libraries on physical computing devices. Findings from the evaluations demonstrate the practical utility of their proposed protocol, in terms of achieving high level of security within a reasonable time framework (e.g. signing time (including communication latency and waiting delay) takes 311.86 ms for three parties, 558.2 ms for five parties, and 707.21 ms for seven parties, under a single-thread implementation).

中文翻译：

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符合IEEE P1363的基于身份的签名方案的分布式签名协议

基于身份的签名（IBS）方案是电子商务应用程序中最有前途的安全和广泛使用的加密原语之一。例如，在多方环境中进行基于ID的签名而从未透露任何私有和机密信息，已经引起了分布式应用程序（例如全球制造商）的极大兴趣。但是，对于这样的组设置（例如，两个以上的参与者），没有实际的解决方案。因此，在这项研究中，作者提出了全球电子商务系统的第一个基于分布式身份的签名协议。具体来说，作者设计的协议允许一组各方以分散和公平的方式生成签名。他们还证明了在离散对数和决策Diffie-Hellman假设下，他们提出的协议对恶意对手是安全的。此外，他们使用物理计算设备上的MIRACL库来实现该协议。评估结果表明，在合理的时间框架内（例如，签署时间（包括通信延迟和等待延迟），三方花费311.86 ms，五方花费558.2 ms，在一定程度上实现其提议的协议的实用性）。 ，并且在单线程实现下，对于七个参与方为707.21毫秒）。