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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<t-bast>
but brute-forcing x means solving dlog right? so it's very expensive
<t-bast>
if the buyer can brute-force x, he can also brute-force the seller's private key and authorize any spend, can't he?
<t-bast>
or is H different from "just another generator" and easier to solve dlog for?
<nickler>
In the commitment x doesn't have to be a uniformly random scalar, it can be from a much smaller set, f.e. 0 or 1 in coinflipping.
<t-bast>
ah gotcha, that makes sense
<t-bast>
thx for the quick answer, maybe it's worth clarifying this is the rationale?
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<nickler>
good idea
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<waxwing>
t-bast, just fwiw that's a standard part of a commitment scheme (without randomness you lose the hiding property). there's just a funny detail that if what you're committing to happens to be a randomly generated value in the input space, then it's redundant to add more.
<waxwing>
that latter case applies when doing something like a scriptless script swap, where the secret you're committing to can be pure randomness.
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