We study the problem of almost-everywhere reliable message transmission; a key component in designing efficient and secure Multi-party Computation (MPC) protocols for sparsely connected networks. The goal is to design low-degree networks which allow a large fraction of honest nodes to communicate reliably even when a small constant fraction of nodes experience byzantine corruption and deviate arbitrarily from the assigned protocol. In this paper, we achieve a log-degree network with a polylogarithmic work complexity protocol, thereby improving over the state-of-the-art result of Chandran et al. (ICALP 2010) who required a polylogarithmic-degree network and had a linear work complexity. In addition, we also achieve:A work efficient version of Dwork et al.’s (STOC 1986) butterfly network.An improvement upon the state of the art protocol of Ben-or and Ron (Information Processing Letters 1996) in the randomized corruption model—both in work-efficiency and in resilience.
CITATION STYLE
Jayanti, S., Raghuraman, S., & Vyas, N. (2020). Efficient Constructions for Almost-Everywhere Secure Computation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 12106 LNCS, pp. 159–183). Springer. https://doi.org/10.1007/978-3-030-45724-2_6
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