Oct. 6, 2023, 1:11 a.m. | Andrej Bogdanov, Krishnamoorthy Dinesh, Yuval Filmus, Yuval Ishai, Avi Kaplan, Sruthi Sekar

cs.CR updates on arXiv.org arxiv.org

We consider the following question of bounded simultaneous messages (BSM)
protocols: Can computationally unbounded Alice and Bob evaluate a function
$f(x,y)$ of their inputs by sending polynomial-size messages to a
computationally bounded Carol? The special case where $f$ is the mod-2
inner-product function and Carol is bounded to AC$^0$ has been studied in
previous works. The general question can be broadly motivated by applications
in which distributed computation is more costly than local computation,
including secure two-party computation.


In this …

alice case function inputs messages mod product protocols question size special

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