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09:25 < 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?
09:25 < bsm117532> (Where the privkey is now provably unknown and pubkey derived essentially from the message which is the SIGHASH)
09:26 < bsm117532> (Yes I know all the reasons this won't work on bitcoin today...)
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09:36 < bsm117532> ...because the private key is p = G_x^-1 (1-e) is why and anyone can calculate that.
09:38 < 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.
09:39 < sipa> but you still want multiple "signatures" that are the same?
09:44 < bsm117532> No. There's no reason to re-use entropy that way.
09:44 < bsm117532> sipa: but if you did have multiple signatures that were binary-same, what can go wrong?
09:46 < 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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--- Log closed Thu May 28 00:00:11 2020