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15:22 < waxwing> https://eprint.iacr.org/2019/023.pdf
15:22 < waxwing> are the 64 bit nonce culprits known? :)
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15:27 < waxwing> wow fascinating anecdote - the darkwallet 3 of 5 multisig had one of the 5 keys compromised by weak nonces.
15:28 < gmaxwell> waxwing: well we should be able to find out what software they used...
15:29 < gmaxwell> presumably ... darkwallet.
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15:30 < waxwing> you mean the 64 bit cases? i mentioned that because it seemed like that classification had the biggest number of compromises.
15:30 < waxwing> well no i guess you meant the darkwallet case, only. yeah maybe.
15:31 < gmaxwell> was the darkwallet one compromised by a 64-bit nonce?
15:32 < waxwing> it says they contacted amir and he told them the signatures had been calculated manually
15:32 < waxwing> i'd bet he was using that libbitcoin thing he did, was it 'sx'?
15:32 < waxwing> just reading the doc here, it's pg13 or so. you get quoted shortly before :)
15:33 < waxwing> pg12,13
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15:34 < waxwing> why the heck did anyone use 2^-1 G for a nonce, that's so weird :)
15:35 < sipa> tiny signature :)
15:35 < waxwing> doh, of course yeah
15:35 < sipa> (variable length encoding for R in ECDSA)
15:35 < waxwing> bragging rights ... for a while anyway :)
15:36 < waxwing> BIP 404 ... all signatures shall use the most compact form, where k=2^-1 G
15:39 < gmaxwell> yea, that was intentional on keys there the private key was known.
15:40 < waxwing> ah right, skim read before. does actually make sense.
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21:17 < nsh> is it possible to use a pederson commitment or some other arithmetic homomorphic encryption scheme to distribute trial divisions? ie, it is possible for me to accept an input that is a homomorphically encrypted pair <N, p>, perform a trivial division and return the [still blinded] result bit?
21:18 < nsh> (and produce a proof that a verifier can check that my output faithfully represented my blinded trial division)
21:19 < sipa> what is a trial division?
21:20 < sipa> you can easily prove for 3 pedersen commitments, the value of the first multiplied by the second's value is the third's value
21:22 < nsh> trial division turns N,p into 1 if p divides N or 0 if not
21:25 < nsh> nm it's even easier than that
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