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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<digi_james>
sipa: Hello, regarding the Taproot BIP, what are the arguments against multiplicative tweaks on PubKeys? I suppose a multiplicative tweak would be the more expensive operation, wouldn't allow a the tweaking of a pubkey with a tweak point and tweaked musig pk would require all signers to tweak private key, am I missing something? Just wondering what the full arguments for additive tweaks in Taproot are ...
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<sipa>
digi_james: yeah, more expensive and doesn't seem to provide any advantages
<sipa>
not sure what you mean by "the tweaking of a pubkey with a tweak point"
<digi_james>
I can tweak add my pubkey point with a point with unknown DL. Such as for discrete log contracts (adiabat). When tweak secret is revealed, I can spend.
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<sipa>
i'm not very familiar with that; how can you spend something that has a point with unknown DL added to it?
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<digi_james>
In the DLC paper, an oracle first announces a nonce and pubkey (R,V). The contract participants can generate different S = R + H(P|msg)V values for different msgs(possible outcomes). When the oracle signs (s,R) for a given outcome/event, the output pubkey which was tweaked (P+S) with that respective S value becomes spendable, as the same nonce is used.
<digi_james>
Sorry: S = R + H(V|msg)V
<digi_james>
But not applicable to taproot really I guess.
<sipa>
right
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