Jingqiang Lin, Peng Liu, Jiwu Jing and Qiongxiao Wang Impossibility of finding any third family of server protocols integrating Byzantine quorum systems with threshold signature schemes Security and Communication Networks 6
To provide self-contained Byzantine fault tolerant storage services of self-verifying data, two server protocols integrating of Byzantine quorum systems (BQSs) and threshold signature schemes (TSSs) are proposed in the literature. Motivated by failures in finding a third of valid server protocols, we study the reverse problem and formally prove that it is impossible to find any third family of valid TSS-BQS systems. Two families of server protocols deduced from this theory, match the existing ones.
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