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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<kanzure> "Ligero: Lightweight sublinear arguments without a trusted setup" https://acmccs.github.io/papers/p2087-amesA.pdf
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<maaku> if someone can think of a way to implement popcount in script (should be doable in elements with disabled opcodes re-enabled, not sure about bitcoin script), it could be used to implement a hamming weight hashcash puzzle
<maaku> which would provide a bounty of sorts for whether sha256 is indistinguishable from a random oracle
<maaku> e.g. check that no more than 32 bits of a 256 bit hash are set
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<waxwing> re: Ligero, that paper references this earlier paper from Crypto2009 by Jens Groth, which is the one that gives O(sqrt(N)) commitments: http://www0.cs.ucl.ac.uk/staff/J.Groth/MatrixZK.pdf
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<waxwing> iirc the bootle 16 thing (and then BP) go from that to the log(N) scaling; it seems to introduce a lot of the ideas/notation involved.
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<waxwing> kanzure, thanks! s/Giacamo/Giacomo/ oh and slogo = slogan at the end. (didn't read every word but great job)
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<andytoshi> waxwing: FYI you can update the transcripts yourself by submitting a PR through https://github.com/kanzure/diyhpluswiki
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<andytoshi> (i think that's the correct way to do this now. diyhpl.us used to have a git bridge you could use over cgi but i think that's dead)
<kanzure> it works but it's for registered users only because perl is terrible or something
<nsh> LEAVE PERL ALONE!!11111....
<waxwing> i have done, for 15 years :)
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<waxwing> andytoshi, thanks for tip. btw this paper from 09 is really helpful, e.g. in appendix A it's showing exactly how proof of knowledge of vectors work.
<andytoshi> oh nice. i'll check it out. (and i should check out ligero, benedikt wanted us to do a performance comparison in our paper but we didn't have time)
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