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 32019-12-06T01:02:45  <maaku> Not exactly on topic, but responding to something that was just said in scrollback: is my understanding correct that if you need an adaptor signature, and you have any other signature of that key, you don't need cooperation to modify it to be the adaptor signature?
 42019-12-06T01:09:19  <aj> https://github.com/ElementsProject/scriptless-scripts/pull/5 uses the terminology that   R,s where s*G = R + H(R+T, P, m)P  is a partial signature for adaptor T over message m with pubkey P; and therefore (R+T,s+t) is an adaptor signature which is a valid signature because (s+t)G = R+T+H(R+T,P,m)P
 52019-12-06T01:10:44  <aj> maaku: so you could convert any signature R,s into a partial signature for adaptor T by calculating R-T,s-t which would make R,s = (R-T)+T,(s-t)+t the corresponding adaptor signature, but you'd have to know "t" for that, so it's maybe not that interesting?
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102019-12-06T04:12:19  <aj> waxwing: you can't caclulate the adaptor "t" without knowing the private key (it's q-s+H(Q,P,m)p); the key holder in that case can't complete the partial signature because they can't determine "t" without knowing "q"; and if they do, they reveal their private key because someone else knows the DL of the R part of their signature. but see the pull/5 above; (s,Q,R) would be a partial signature, and
112019-12-06T04:12:20  <aj> (s+t,Q) would be the adaptor signature which is only generatable by someone who knows the private key
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162019-12-06T09:16:51  <waxwing> aj, of course. i said exactly that in the mastodon thread i linked. i'm only talking about the naming.
172019-12-06T09:17:45  <waxwing> hence the 'feel free to argue it's not relevant ..' etc.
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212019-12-06T09:41:54  <aj> waxwing: yeah, i think calling (s+t,Q) the adaptor signature and the thing anyone can make a "partial signature" solves that?
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262019-12-06T10:13:16  <waxwing> hmm i see what you mean ... but in everything written on the top 'partial sig' is referring to partial-in-multi and it's the "completed" adaptor (s+t, R+T) .. i mean .. can we just call s' the "adaptor" rather than "adaptor signature"? but then i think people are sometimes calling the scalar t the adaptor.
272019-12-06T10:13:37  <waxwing> i guess t is usually called the "adaptor secret" if anything
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392019-12-06T14:46:08  <waxwing> "written on the top" = "written on the topic" sorry
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