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[uid43070@gateway/web/irccloud.com/x-xzshqjrurtkxpihk] has joined #bitcoin-wizards 06:47 < dabura667> If I place 3 valid signatures from the 3 keys of a 1 of 3 multisig in the scriptSig, will OP_CHECKMULTISIG evaluate false? 06:48 -!- prodatalab [~prodatala@c-69-254-45-177.hsd1.fl.comcast.net] has quit [Ping timeout: 246 seconds] 06:48 < dabura667> or will it just pick up one, check it, then pick up the extra bugged value, leaving a 1 on the stack on top of the 3rd sig? 06:52 < kanzure> dabura667: i'll help you out in #bitcoin 06:52 < dabura667> kanzure thanks 06:54 -!- SDCDev [~quassel@unaffiliated/sdcdev] has joined #bitcoin-wizards 06:54 -!- prodatalab [~prodatala@c-69-254-45-177.hsd1.fl.comcast.net] has joined #bitcoin-wizards 06:57 -!- nuke__ is now known as nuke1989 06:58 -!- bosma [~bosma@S01067cb21bda6531.vc.shawcable.net] has joined #bitcoin-wizards 07:00 -!- SDCDev [~quassel@unaffiliated/sdcdev] has quit [Ping timeout: 255 seconds] 07:02 -!- xenog [~xeno@46.7.118.40] has joined #bitcoin-wizards 07:04 -!- Emcy_ [~MC@unaffiliated/mc1984] has quit [Ping timeout: 246 seconds] 07:07 -!- GAit [~lnahum@2-230-161-158.ip202.fastwebnet.it] has quit [Read error: Connection reset by peer] 07:09 -!- GAit [~lnahum@2-230-161-158.ip202.fastwebnet.it] has joined #bitcoin-wizards 07:10 -!- [nsh] [~ubuntu@wikipedia/nsh] has joined #bitcoin-wizards 07:10 -!- GAit [~lnahum@2-230-161-158.ip202.fastwebnet.it] has quit [Read error: Connection reset by peer] 07:11 < droark> Question: Using BIP 32, it's possible to create scalar multipliers that you can apply directly to public keys to get a non-hardened child, then apply another scalar multiplier to get the child's child, etc. Is there any way to combine the multipliers such that there's only one multiplier, and you can go straight to the intended child? My understanding of EC math tells me it's not possible. 07:12 -!- GAit [~lnahum@2-230-161-158.ip202.fastwebnet.it] has joined #bitcoin-wizards 07:13 < droark> Guuuuh. Scalar multiplier is applied to the base point, which is then added to the parent key. 07:13 -!- Starduster [~guest@unaffiliated/starduster] has joined #bitcoin-wizards 07:13 -!- GAit [~lnahum@2-230-161-158.ip202.fastwebnet.it] has quit [Read error: Connection reset by peer] 07:13 -!- prodatalab [~prodatala@c-69-254-45-177.hsd1.fl.comcast.net] has quit [Quit: Konversation terminated!] 07:21 -!- GAit [~lnahum@2-230-161-158.ip202.fastwebnet.it] has joined #bitcoin-wizards 07:22 -!- rubensayshi [~ruben@91.206.81.13] has joined #bitcoin-wizards 07:26 < [nsh]> droark, so what are the algebraic properties of scalar multiplication over the group in question? 07:26 < kanzure> "Ultimate physical limits to computation" http://arxiv.org/pdf/quant-ph/9908043v3.pdf 07:28 -!- GAit [~lnahum@2-230-161-158.ip202.fastwebnet.it] has quit [Read error: Connection reset by peer] 07:28 < [nsh]> it'd be nice to have some kinda mathematics software notebook that let you see how various ECC cryptographic properties follow from the geometry 07:29 -!- CoinMuncher1 [~jannes@ip54544d54.adsl-surfen.hetnet.nl] has joined #bitcoin-wizards 07:29 < droark> If you do nP (n is scalar, P is an EC point), it's P + P + ... + P, obviously. Addition is (x1, y1) + (x2, y2) = (x3, y3) where x3 = (λ^2)−x1−x2, y3 = λ(x1− x3) − y1, and λ = (y2–y1) / (x2–x1). 07:29 < droark> EC addition, I mean. 07:29 * [nsh] nods 07:30 -!- GAit [~lnahum@2-230-161-158.ip202.fastwebnet.it] has joined #bitcoin-wizards 07:30 < [nsh]> http://crypto.stackexchange.com/questions/3907/how-does-one-calculate-the-scalar-multiplication-on-elliptic-curves 07:31 < [nsh]> wolfram alpha would conceivably tell us how the terms for combine scalar multiplications would simplify 07:31 -!- GAit [~lnahum@2-230-161-158.ip202.fastwebnet.it] has quit [Read error: Connection reset by peer] 07:31 -!- CoinMuncher2 [~jannes@178.132.211.90] has joined #bitcoin-wizards 07:31 < [nsh]> not keen on teasing the syntax out though 07:32 -!- CoinMuncher [~jannes@178.132.211.90] has quit [Ping timeout: 246 seconds] 07:32 < droark> Yeah, it's been years since I touched Mathematica or MATLAB. 07:32 < sipa> what is the question? 07:33 -!- CoinMuncher1 [~jannes@ip54544d54.adsl-surfen.hetnet.nl] has quit [Ping timeout: 255 seconds] 07:34 < [nsh]> can you derive a single-step formula for (BIP-32) combined scalar multiplications to go directly to some [great x N]grandchild key 07:34 -!- DougieBot5000 [~DougieBot@unaffiliated/dougiebot5000] has joined #bitcoin-wizards 07:34 -!- nuke1989 [~nuke@46-245-96.adsl.cyta.gr] has quit [Read error: No route to host] 07:34 -!- nuke_ [~nuke@176.92.121.79] has joined #bitcoin-wizards 07:34 < droark> nsh is far more succinct than me. :) 07:34 < sipa> you need a hash of the intermediate point 07:35 < droark> So basically you're saying it's not possible to combine the multipliers? That's what I was thinking. 07:36 -!- GAit [~lnahum@2-230-161-158.ip202.fastwebnet.it] has joined #bitcoin-wizards 07:38 < sipa> the child key is parent + H(parent*G) 07:38 -!- GAit [~lnahum@2-230-161-158.ip202.fastwebnet.it] has quit [Read error: Connection reset by peer] 07:38 < sipa> (simplified) 07:38 < droark> Right. 07:39 -!- GAit [~lnahum@2-230-161-158.ip202.fastwebnet.it] has joined #bitcoin-wizards 07:39 < droark> It's possible to use the left half of the hash as a multiplier against the base point and then add that to the parent. You can create a chain of multipliers that way. Sounds like there's no way to combine the chain into one multiplier applied from the start, thereby hiding the intermediate steps from anybody deriving the child. 07:39 < sipa> a grandchild would be parent + H(parent*G) + H((parent + H(parent*G))*G) 07:41 -!- Quanttek [~quassel@ip1f1171b4.dynamic.kabel-deutschland.de] has joined #bitcoin-wizards 07:43 -!- justanotheruser [~Justan@unaffiliated/justanotheruser] has quit [Ping timeout: 256 seconds] 07:49 -!- justanotheruser [~Justan@unaffiliated/justanotheruser] has joined #bitcoin-wizards 07:53 -!- bosma [~bosma@S01067cb21bda6531.vc.shawcable.net] has quit [Quit: Leaving] 07:53 -!- airbreather [~AirBreath@d149-67-99-43.nap.wideopenwest.com] has joined #bitcoin-wizards 07:56 -!- airbreather_1 [~AirBreath@d149-67-99-43.nap.wideopenwest.com] has quit [Ping timeout: 252 seconds] 07:57 -!- nuke__ [~nuke@46-21-251.adsl.cyta.gr] has joined #bitcoin-wizards 08:00 -!- NomosOne [~OneNomos@gateway/vpn/privateinternetaccess/onenomos] has quit 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