Abstract

We consider the problem of computing an aggregation function in a \emph{secure} and \emph{scalable} way. Whereas previous distributed solutions with similar security guarantees have a communication cost of O(n3)O(n^3), we present a distributed protocol that requires only a communication complexity of O(nlog⁡3n)O(n\log^3 n), which we prove is near-optimal. Our protocol ensures perfect security against a computationally-bounded adversary, tolerates (1/2−ε)n(1/2-ε)n malicious nodes for any constant 1/2>ε>01/2 > ε> 0 (not depending on nn), and outputs the exact value of the aggregated function with high probability.

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