2,420 research outputs found
Self-Healing Computation
In the problem of reliable multiparty computation (RC), there are
parties, each with an individual input, and the parties want to jointly compute
a function over inputs. The problem is complicated by the fact that an
omniscient adversary controls a hidden fraction of the parties.
We describe a self-healing algorithm for this problem. In particular, for a
fixed function , with parties and gates, we describe how to perform
RC repeatedly as the inputs to change. Our algorithm maintains the
following properties, even when an adversary controls up to parties, for any constant . First, our
algorithm performs each reliable computation with the following amortized
resource costs: messages, computational
operations, and latency, where is the depth of the circuit
that computes . Second, the expected total number of corruptions is , after which the adversarially controlled parties are
effectively quarantined so that they cause no more corruptions.Comment: 17 pages and 1 figure. It is submitted to SSS'1
Breaking the O(n^2) Bit Barrier: Scalable Byzantine agreement with an Adaptive Adversary
We describe an algorithm for Byzantine agreement that is scalable in the
sense that each processor sends only bits, where is
the total number of processors. Our algorithm succeeds with high probability
against an \emph{adaptive adversary}, which can take over processors at any
time during the protocol, up to the point of taking over arbitrarily close to a
1/3 fraction. We assume synchronous communication but a \emph{rushing}
adversary. Moreover, our algorithm works in the presence of flooding:
processors controlled by the adversary can send out any number of messages. We
assume the existence of private channels between all pairs of processors but
make no other cryptographic assumptions. Finally, our algorithm has latency
that is polylogarithmic in . To the best of our knowledge, ours is the first
algorithm to solve Byzantine agreement against an adaptive adversary, while
requiring total bits of communication
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