@alexandra I think what I need is a course in secure multi-party computation.

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@samgai It certainly _is_ possible, because universal MPC schemes exist (en.wikipedia.org/wiki/Garbled_). I would expect though that much simpler protocol should exist for this problem. Perhaps it's useful to start by considering the 1D toy problem (each of you has a real value, you want to compute absolute value of their difference, but don't want to share the sign of the difference). @alexandra

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