Balanced Byzantine Agreement from SRDS Sample Clauses

Balanced Byzantine Agreement from SRDS. ‌ We start by showing how to combine succinctly reconstructed distributed signatures with the protocol of [15] to obtain BA with balanced O˜(1) communication. We prove the following theorem. Theorem 4.1 ( Theorem 1.1, restated). Let β < 1/3 and assume existence of a βn-secure SRDS scheme in the bulletin-board PKI model (resp., trusted PKI model). Then, there exists a βn-resilient BA protocol (according to Definition 2.2) in a hybrid model for generating the SRDS setup and the relevant PKI, s.t: • The round complexity and communication locality are polylog(n); every party sends/proceeses polylog(n) · poly(κ) bits. • The adversary can adaptively corrupt the parties based on the public setup and the PKI before the onset of the protocol. For bulletin-board PKI, the adversary can additionally replace the corrupted parties’ public keys. Instantiating Theorem 4.1 with our SRDS constructions from Section 5, we get the following corollaries.
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