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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<gleb> Was there any discussion ever about receiver setting fee and not accepting payments below? I don't have a construction on my mind, but I feel like it's an obvious idea and somebody should've considered this.
<gleb> At the end of the day, receiver cares about the fee, not sender. Because fee would increase the cost of reorg. Also all those fee sniping things.
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<mappum> since Schnorr threshold signatures require sharing N^2 secret shares, has anyone given any thought to recursively breaking up the signer set into subsets, then aggregating the signatures of the subsets?
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<mappum> seems like you could reduce the secret sharing groups to a tractable size, then just combine their keys/sigs with musig
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<uiuc-slack3> <stonecoldpat> hey hey, i havet a simple Q about graftroot. My understanding is that Alice and Bob can perform some key aggregation (i.e. like in MuSig) to compute a single public key P = xG, but based on each party’s share xa and xb. Then if Bob wants to authorise a new script for Alice, he can just \sigma_{xb} = Sign(script, xb). If Alice has \sigma_{xb}, then she can always compute the full signature \sigma_{x} and then po
<uiuc-slack3> evidence to redeem it.
<uiuc-slack3> <stonecoldpat> does that sound about right?
<uiuc-slack3> <stonecoldpat> (computing the full signature, from what I gather, is just signing it, then summing both partial signatures together)
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<nickler> stonecoldpat: Your Q doesn't seem to be specific to graftroot. The full signature is the sum of the partial signatures, correct, but the partial signatures are created in an interactive process.
<nickler> Alice and Bob first exchange commitments, to nonces, then nonces, then partial signatures.
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<uiuc-slack3> <stonecoldpat> Yeah from the musig protocol? i.e. both parties share commitments of H(g^R), then reveal g^R, and after confirming it matches up, they produce a signature and share it with the counterparty?
<uiuc-slack3> <stonecoldpat> so in the graftroot example, if Bob is authorizing a script with Alice, they perform the interactive protocol… but Alice doesn’t send her partial signature to Bob
<uiuc-slack3> <stonecoldpat> (I guess my main question is mostly; does that sound roughly right of what graftroot is trying to do? i.e. it is not using adaptor signatures?)
<nickler> roughly. Afaik there isn't a very concrete graftoot proposal. The main idea is just that outputs consist of a pubkey and can be spent satisfying a script that was signed by the pubkey.
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<uiuc-slack3> <stonecoldpat> it looks pretty cool and easier to build than taproot (i.e. no need for mast root)
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<instagibbs> if you're ok storing signatures etc it's a good choice yes
<nickler> It's cool, but yeah, it has a couple of other downsides too: the graftroot path has a greater size than taproot path (by 32 bytes). A single party can't non-interactively create a multiparty output that has an alternative spending condition. Graftroot signatures need to be safely stored. Can't publicly prove the possible spending paths.
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