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Two of the most sought-after properties of Multi-party Computation (MPC) protocols are fairness and guaranteed output delivery (GOD), the latter also referred to as robustness. Achieving both, however...
Round complexity is one of the fundamental problems in zero-knowledge proof systems. Non-malleable zero-knowledge (NMZK) protocols are zero-knowledge protocols that provide security even when man-in-t...
Although Byzantine Agreement (BA) has been studied for three decades, perhaps somewhat surprisingly, there still exist significant gaps in our understanding regarding its round complexity. First, alth...
We prove lower bounds on the round complexity of randomized Byzantine agreement (BA) protocols, bounding the halting probability of such protocols after one and two rounds.
We show, via a non-interactive reduction, that the existence of a secure multi-party computation (MPC) protocol for degree-22 functions implies the existence of a protocol with the same round complexi...
We settle the exact round complexity of three-party computation (3PC) in honest-majority setting, for a range of security notions such as selective abort, unanimous abort, fairness and guaranteed outp...
We show that any OT extension protocol based on one-way functions (or more generally any symmetric-key primitive) either requires an additional round compared to the base OTs or must make a non-black-...
In contrast, round complexity of secure computation in the concurrent setting, where several protocols may run simultaneously, is poorly understood. Since standard polynomial time simulation is imposs...
We revisit the exact round complexity of secure computation in the multi-party and twoparty settings. For the special case of two-parties without a simultaneous message exchange channel, this questi...
The round complexity of verifiable secret sharing (VSS) schemes has been studied extensively for threshold adversaries. In particular, Fitzi et al. showed an efficient 3-round VSS for $n \geq 3t+1$ \c...
In STOC'05, von Ahn, Hopper and Langford introduced the notion of covert computation. In covert computation, a party runs a secure computation protocol over a covert (or steganographic) channel withou...
In this work, we initiate the study of round complexity of unconditionally secure weak secret sharing (UWSS) and unconditionally secure veri¯able secret sharing (UVSS) 1 in the presence of an a...
We consider the problem of constructing Concurrent Zero Knowledge Proofs [6], in which the fascinating and useful “zero knowledge” property is guaranteed even in situations where multiple concurrent ...
We study the round complexity of various cryptographic protocols. Our main result is a tight lower bound on the round complexity of any fully-black-box construction of a statistically-hiding commitme...
We revisit the following question: what is the optimal round complexity of verifiable secret sharing (VSS)?We focus here on the case of perfectly-secure VSS where the number of corrupted parties t s...

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