sipa changed the topic of #bitcoin-wizards to: This channel is for discussing theoretical ideas with regard to cryptocurrencies, not about short-term Bitcoin development | http://bitcoin.ninja/ | This channel is logged. | For logs and more information, visit http://bitcoin.ninja
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<adlai>
;;later tell piano17 yeah bigger blocks are the partially hydrogenated fats of the intertubes
<gribble>
The operation succeeded.
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<bas__>
l
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<maaku>
how do I prove that an elgamal commitment of the form (g^r, g^m * h^r) is actually an elgamal commitment in zero knowledge?
<maaku>
only h is publicly known. g, r, and m are confidential
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<maaku>
sorry m is known (public) in this application, if it matters
<maaku>
i suspect that having g be confidential makes this very difficult, but I'm curious as a first step how you'd do it still with a known generator
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<nickler>
maaku: if g, h and m are publicly known, you could multiply the second element by the inverse of g^m and then create a proof of discrete log equivalence between g^r and h^r.
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<waxwing>
that requires that G is known tho'
<waxwing>
(not that i understand the context, but maaku said g is confidential)
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<maaku>
yes, and then I back tracked and asked what to do if g was known, since that might be a clue pointing me in the right direction; thanks nickler
<maaku>
but yes, this application has a not-publicly-known g
<nickler>
If g is unconfidential this doesn't seem to be necessarily binding. If r=0 then and (r, g, m) is a valid opening, then (r, g^2, m/2) is another valid opening.
<waxwing>
maaku, oh sorry i'm blind :)
<waxwing>
nickler, huh, so you're assuming a scenario where g is not fixed?
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<nickler>
I was assuming a scenario where the prover fixes g. But maybe I misunderstood.
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