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I have an idea of how you could play federated blackjack.
The dealer makes a random shuffle. They send a hash of it to the player.
Then the dealer and player do a diffie-hellman key exchange to create a random number. The dealer re-shuffles the shuffled cards using this as the random seed.
Then we play in the clear: The dealer sends the next card, the player sends their choices.
At the end, the dealer sends their chosen random shuffle in the clear, so the player can validate.
Wait, that seems like it could work.