The problem of secure multi-party function computation is as follows: n players, P1, P2, Pn, wish to evaluate a function , F(x1,x2,...,xn), where xi is a secret value provided by Pi. The goal is to preserve the privacy of the player's inputs and guarantee the correctness of the computation.
In the first case the attacker tryes to get information about the encryption function by sending plaintext and by looking at the result of the encryption. In the second case the attacker sends cyphertext and looks at the result of the decryption.
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