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It's easier to take the questions out of order. what can be said about the distribution of exponents a+b mod p when b is taken at random from Zp, but a is fixed? If $b$ is a uniform independent random value from the range $[0, p-1]$, that is, the probability of each possible value is $1/p$, and $b$ is distributed independently from $a$, then $a+b \bmod p$...

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When we are analyzing the security of MPC protocols, we have to be aware that the judgment of some behavior as malicious depends on the enviroment. Another aspect is to consider if there a defense against this (supposably) malicious behavior. Let me explain: if the receiver of an OT Bob refuses to open it, is he acting maliciusly? That is, if he decided ...

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In MPC we judge security by comparing to the "ideal world" where a trusted third party does the entire computation. In the ideal world, an adversary can send anything it wants as input to the trusted third party. In the ideal world, when it comes to malicious adversaries, there really is no valid sense of a "correct/incorrect input" for the adversary. (For ...

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