Implementing Externally Valid Binding Crusader Agreement with Threshold Signatures Sample Clauses

Implementing Externally Valid Binding Crusader Agreement with Threshold Signatures. In section 6, we presented BCA𝐵𝑦𝑧,𝑇𝑆𝑖𝑔, a protocol for binding crusader agreement that, when plugged into AA 1 to get AA 1 -BCA𝐵𝑦𝑧,𝑇𝑆𝑖��, implements Asynchronous Byzantine Agreement with a strong coin and threshold signatures. As shown in Lemma F.6, the AA 1 -BCA𝐵𝑦𝑧,𝑇𝑆𝑖𝑔 protocol takes an expected 13 rounds of broadcast to terminate with a 2𝑡 degree strong coin. In t2his section, we describe two optimizations that can be applied to BCA𝐵𝑦𝑧,𝑇𝑆𝑖𝑔 to obtain EVBCA𝐵𝑦𝑧,𝑇𝑆𝑖𝑔 so that AA 1 -EVBCA𝐵𝑦𝑧,𝑇𝑆𝑖𝑔 requires 9 rounds of broadcast to terminate in expectation when used with a degree 2𝑡 strong c2oin. We first define an externally valid value in the context of the AA 1 -BCA𝐵𝑦𝑧,𝑇𝑆𝑖𝑔 protocol and show that it satisfies Definiton G.2. 2
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