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Yes. Trusted party setup is just way to think about what the end goal of a particular MPC system is. So you may start with a party (lets call it the dealer) that sends it's private key to the trusted party, and then the trusted party uses it to commit a transaction. Now replace the trusted party with a multi-party setup. The dealer here sends shares of its ...


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Most models I've come across have a truly random tape. You can use this trick - assume the tape to be uniformly random, but then the party reads a block (of certain size) of random bits and uses that to bias the coin. For example, if you want the coin to output Heads by probability 0.75, read 2 random bits from the random tape and if they both are 1's, ...


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