2015-10-30 00:53
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 |
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<
mappum >
where can I read more about schnorr threshold signature schemes based on secret sharing?
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<
mappum >
nickler: perfect, thanks
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<
mappum >
darn, seems more complex and more expensive than i thought. is there any room for some kind of scheme that isn't quite as small, but still better than traditional multisig? e.g. a version 2 witness program that commits to a merkle tree of pubkeys and a threshold t, spendable by proving t pubkeys in the tree and a musig of those t pubkeys
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<
mappum >
it would still be linear in space (e.g. ~700 WU for a 50-of-100), but only use 1 sigop
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<
mappum >
like key trees, but doesn't explode combinatorially
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<
sipa >
sigops are not an issue anymore in tapscript
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<
sipa >
things like that would be possible with free form merkle tree opcodes
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<
mappum >
but would there be e.g. OP_CHECKMUSIG? it would have to be able to derive the musig pubkey from a set of pubkeys
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<
mappum >
oh, i see, you're talking about the n sigop case
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<
mappum >
>free form merkle tree opcodes
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<
mappum >
does this just mean OP_CAT?
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<
sipa >
OP_MERKLEBRANCHVERIFY
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<
mappum >
didn't know about that, thanks
23:44
<
sipa >
there hasn't really been any progress on that for a while
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<
sipa >
but with bip-tapscript's OP_SUCCESSx' extension mechanism tit would be much easier to add things like that