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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<bsm117532>
Let's say I wanted to use pubkey recovery for a vault, with a NUMS value as a signature such as (r,s) = (G_x, 1). Is there anything that could go wrong by having multiple transactions signed with the same signature?
<bsm117532>
(Where the privkey is now provably unknown and pubkey derived essentially from the message which is the SIGHASH)
<bsm117532>
(Yes I know all the reasons this won't work on bitcoin today...)
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<bsm117532>
...because the private key is p = G_x^-1 (1-e) is why and anyone can calculate that.
<bsm117532>
So since that doesn't work, the second idea is to use (r,s) = sha512(entropy). Sharing this preimage is proof that no one knows the private key.
<sipa>
but you still want multiple "signatures" that are the same?
<bsm117532>
No. There's no reason to re-use entropy that way.
<bsm117532>
sipa: but if you did have multiple signatures that were binary-same, what can go wrong?
<bsm117532>
I was *hoping* that this entropy and signature could be elided, since it can't be a part of the same anonymity set anyway do to needing NOINPUT and changes to the signature algorithm.
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