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This cannot be done. It is provably impossible. In order to explain this in technical terms, what you are looking for is a FAIR protocol to compute equality of long random strings (I added the latter since it adds a constraint and so in theory could make it easier). In any case, if I had such a protocol, then I could toss a fair unbiased coin. Here is the ...


2

Answering the question in your title (and not addressing your proposed alternative which I don't quite understand) there is a zero knowledge proof of password protocol "SRP" which is fast and effective. SRP does not seem to have been given as wide publicity as it should get. Having implemented it, and being an advocate of its use, I don't really understand ...


1

I'm new here so I'm not sure about the best way to hold this discussion. So, I am adding a different answer to relate to why my proof sketch showing the impossibility of the problem in this question, versus Ricky's proof above that the protocol in this paper (page 16) is impossible. The answer is very connected to technical details to how you define and ...



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