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Multi-party computation (MPC) allows a set of parties, each with a private input, to securely and jointly perform any computation over their inputs.

3 votes

Motivation for the definition of statistical distance

Statistical indistinguishability (i.e., negligible statistical distance) implies computational indistinguishability, but is typically easier to prove since it does not require a computational argument …
fkraiem's user avatar
  • 8,202
3 votes
Accepted

Simulation-based proofs - advice tape of reduction algorithm

Yes. We work under the assumption that the protocol is not secure, which means that for infinitely many $n$, there is a pair of inputs $(x,y)$ on which the simulation fails (i.e., when the inputs are …
fkraiem's user avatar
  • 8,202
5 votes
Accepted

Suppose $A$ knows $a$ and $B$ knows $b$, is it possible to efficiently compute $g^{ab}$ with...

It's not possible because if $B$ knows $b$ and $g^{ab}$, then she can compute $\left(g^{ab}\right)^{b^{-1} \bmod N} = g^a$ (where $N$ is the order of $g$, which is normally prime so that $b^{-1} \bmod …
fkraiem's user avatar
  • 8,202
4 votes
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Definition of secure computation with more that two parties

It is not enough to be able to simulate the view of a single party, because corrupted parties may cooperate. As mentioned in the book, it may be easier to view all the corrupted parties as a single en …
fkraiem's user avatar
  • 8,202
1 vote
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Simulation based proofs, what am I missing?

Basically, what you are missing is that the real view for a given input pair must be indistinguishable from the simulated view for the same input pair. Remember that, put simply, the requirement is t …
fkraiem's user avatar
  • 8,202
5 votes
Accepted

Concept Question for Secure Computation

As in the linked question, what you are missing is that the simulated view for a given input pair must be indistinguishable from the simulated view for the same input pair. So if $A$'s input $s$ is $ …
fkraiem's user avatar
  • 8,202
9 votes
Accepted

Simulation based proofs: Simple examples

The simplest example I know of is actually for a pathological case. Namely, it is presented in Chapter 2 of the book of Hazay and Lindell as an example of a two-party MPC protocol which is secure agai …
fkraiem's user avatar
  • 8,202
1 vote

The main differences between Sketch of Proof and Full proof

Why do most of papers in the well-known conferences provide only the proof sketch? Space constraints, mostly (the paper has to fit in a certain number of pages). Often, the full proofs are given …
fkraiem's user avatar
  • 8,202