Multiparty computation unconditionally secure against Q^ 2 adversary structures

A Smith, A Stiglic - arXiv preprint cs/9902010, 1999 - arxiv.org
A Smith, A Stiglic
arXiv preprint cs/9902010, 1999arxiv.org
We present here a generalization of the work done by Rabin and Ben-Or. We give a protocol
for multiparty computation which tolerates any Q^ 2 active adversary structure based on the
existence of a broadcast channel, secure communication between each pair of participants,
and a monotone span program with multiplication tolerating the structure. The secrecy
achieved is unconditional although we allow an exponentially small probability of error. This
is possible due to a protocol for computing the product of two values already shared by …
We present here a generalization of the work done by Rabin and Ben-Or. We give a protocol for multiparty computation which tolerates any Q^2 active adversary structure based on the existence of a broadcast channel, secure communication between each pair of participants, and a monotone span program with multiplication tolerating the structure. The secrecy achieved is unconditional although we allow an exponentially small probability of error. This is possible due to a protocol for computing the product of two values already shared by means of a homomorphic commitment scheme which appeared originally in a paper of Chaum, Evertse and van de Graaf.
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