An MPC Sample Clauses

An MPC protocol Π achieves t-full security (respectively t-unanimous output) with L-output quality if it UC-realizes functionality F sec,L (respectively F uout,L), whenever up to t parties are corrupted in an execution of Π. MPC MPC
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An MPC protocol Π achieves t-full security (respectively t-unanimous output) with L-output quality if it UC-realizes functionality F sec,L (respectively F uout,L), whenever up to t parties are corrupted in an execution of Π. MPC MPC 4 Round-Efficient Byzantine Agreement with Asynchronous Weak Validity We study the feasibility and efficiency of BA protocols that are ts-secure when the network is synchronous, and at the same time achieve ta-weak validity when the network is asynchronous. This primitive is of independent interest, as it is used to construct BA protocols with asyn- chronous fallback (see Section 5). Moreover, it turns out to be fundamental in the design of further distributed protocols, for example to obtain constant-round synchronous broadcast pro- tocols with asynchronous weak validity (see Section G), which in turn are used to construct synchronous MPC protocols with asynchronous fallback [11]. In this section, we completely characterize the threshold conditions under which such a primitive exists, and provide different round-efficient constructions (fixed-round and with prob- abilistic termination). First, in Section 4.2, we show a fixed-round BA protocol that runs in O(κ) rounds when the network is synchronous. Then, in Section F, we show a version running in expected constant- rounds when the network is synchronous.4 ≤ While the optimal achievable trade-off (see [9]) of a BA protocol with full asynchronous fallback security is ta + 2ts < n and ta ts (which together imply ts < n/2), we show that there is room for improvement when only requiring asynchronous weak-validity. In this case, we prove the optimal threshold trade-off to be 2ta + ts < n and ts < n/2.

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