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Secret sharing refers to splitting a secret among multiple parties so that together they can reconstruct it. All parties, or just a threshold number of them, can be required for reconstruction. If fewer than the required number of parties participate, no information should be leaked about the secret.

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Is there a studied notion of "party independent transfer"?

I've been thinking about the following set-up involving three parties, Alice, Bob and Charlie: Bob and Charlie decide among themselves who is going to receive a bit from Alice (perhaps by a coin tos …