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[~michaelsd@38.126.31.226] has quit [Changing host] 07:42 -!- michaelsdunn1 [~michaelsd@unaffiliated/michaelsdunn1] has joined #bitcoin-wizards 07:43 -!- pinheadmz [~matthewzi@c-76-102-227-220.hsd1.ca.comcast.net] has joined #bitcoin-wizards 07:43 -!- pinheadmz [~matthewzi@c-76-102-227-220.hsd1.ca.comcast.net] has quit [Client Quit] 07:44 -!- Logicwax [~Logicwax@c-76-126-174-152.hsd1.ca.comcast.net] has quit [Quit: rm -rf /] 07:45 -!- Logicwax [~Logicwax@c-76-126-174-152.hsd1.ca.comcast.net] has joined #bitcoin-wizards 07:50 -!- pinheadmz [~matthewzi@c-76-102-227-220.hsd1.ca.comcast.net] has joined #bitcoin-wizards 07:51 -!- pinheadmz [~matthewzi@c-76-102-227-220.hsd1.ca.comcast.net] has quit [Client Quit] 07:54 -!- dEBRUYNE [~dEBRUYNE@unaffiliated/debruyne] has quit [Ping timeout: 252 seconds] 07:55 -!- pinheadmz [~matthewzi@c-76-102-227-220.hsd1.ca.comcast.net] has joined #bitcoin-wizards 07:57 < vfP56jSe> sipa: Just realized you were the author of the BIP, an honor! Are additional footnotes expanding a bit on the convo above welcome contribution to the BIP or is it fixed in stone already? 07:57 -!- dEBRUYNE [~dEBRUYNE@unaffiliated/debruyne] has joined #bitcoin-wizards 08:42 -!- bildramer1 [~bildramer@p2003004CEA193E007DD2852BDE194797.dip0.t-ipconnect.de] has joined #bitcoin-wizards 08:43 < nsh> 'Foundational Cryptography Framework for machine-checked proofs of cryptography in the computational model.' - https://github.com/adampetcher/fcf 08:43 -!- bildramer [~bildramer@p5B010E46.dip0.t-ipconnect.de] has quit [Ping timeout: 246 seconds] 08:46 < riclas> bip's are never fixed. you can always suggest improvements vfP56jSe 08:53 < sipa> vfP56jSe: you mean improve the wording, or change the semantics? 08:54 < sipa> riclas: bip-schnorr isn't published yet, we can change anything 09:08 < riclas> yeah i know 09:09 < riclas> his question applies either way 09:38 -!- enemabandit [~enemaband@185.227.37.188.rev.vodafone.pt] has quit [Ping timeout: 272 seconds] 09:46 -!- Murch [~murch@50-200-105-218-static.hfc.comcastbusiness.net] has joined #bitcoin-wizards 09:52 < vfP56jSe> sipa: I mean adding new information or linking to new information like how the residuosity of y equals that of YZ and such 09:53 < nsh> ('residuality', probabably) 09:53 < nsh> although -osity has a ring to it 09:56 < vfP56jSe> nsh: I think it's residuoosity: https://en.wikipedia.org/wiki/Quadratic_residuosity_problem 09:57 < vfP56jSe> residuosity* 09:57 < nsh> oh, shows what i know :) 09:59 < sipa> vfP56jSe: the bip does mention that jacobi(y(P)) == jacobi(YZ) if Y and Z are jacobian coordinates of P 10:00 < vfP56jSe> sipa: I see! In the Optimizations section 10:03 -!- jaromil [~jaromil@vm8.ganeti.dyne.org] has joined #bitcoin-wizards 10:03 -!- jaromil [~jaromil@vm8.ganeti.dyne.org] has quit [Changing host] 10:03 -!- jaromil [~jaromil@devuan/developer/jaromil] has joined #bitcoin-wizards 10:07 -!- pinheadmz [~matthewzi@c-76-102-227-220.hsd1.ca.comcast.net] has quit [Quit: pinheadmz] 10:21 -!- jtimon [~quassel@92.28.134.37.dynamic.jazztel.es] has quit [Ping timeout: 240 seconds] 10:33 -!- pinheadmz [~matthewzi@c-76-102-227-220.hsd1.ca.comcast.net] has joined #bitcoin-wizards 10:38 -!- TheoStorm [~TheoStorm@host-lzquwqj.cbn1.zeelandnet.nl] has quit [Quit: Leaving] 10:49 -!- wildermind [uid300433@gateway/web/irccloud.com/x-reoryszxaxlduyob] has quit [Quit: Connection closed for inactivity] 10:51 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has joined #bitcoin-wizards 10:51 -!- Aaronvan_ [~AaronvanW@unaffiliated/aaronvanw] has joined #bitcoin-wizards 10:55 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has quit [Ping timeout: 245 seconds] 11:04 -!- Murch [~murch@50-200-105-218-static.hfc.comcastbusiness.net] has quit [Quit: Snoozing.] 11:05 -!- Murch [~murch@50-200-105-218-static.hfc.comcastbusiness.net] has joined #bitcoin-wizards 11:07 -!- elichai2 [uid212594@gateway/web/irccloud.com/x-nxnscjygbipdjqno] has quit [Quit: Connection closed for inactivity] 11:14 -!- Aaronvan_ [~AaronvanW@unaffiliated/aaronvanw] has quit [] 11:17 -!- mint_ [~mint@d64-180-191-179.bchsia.telus.net] has joined #bitcoin-wizards 11:40 < vfP56jSe> Why does not having elliptic curve operations inside the hash help with batch verification? 11:40 < sipa> how would you batch it? :) 11:41 < sipa> batching works by combining multiple equations to test into a single equation which can be verified faster 11:41 < sipa> but if you need to compute e1 = H(EC operations), and e2 = H(EC operations), you can't combine the two sets of EC operations 11:42 < sipa> as it's not just an equation to check, you need the exact output to feed it into the hash 11:43 < vfP56jSe> Ah, I think the part that I'm missing is that you can combine sets of EC operations so that they take less time than if executed individually then added together 11:44 < vfP56jSe> Where can I read up more about that/see examples of that 11:44 < sipa> say you have to check A = xB + yC, and D = vE + wF 11:45 * vfP56jSe listening 11:45 < sipa> and you're given all the points and scalars (including A and D) 11:46 < sipa> you come up with two random number r1 and r2, and instead compute r1*(A - xB - yC) + r2*(B - vE - wF), or r1*A + (-x*r1)*B + (-y*r1)*C + r2*D + (-v*r2)*E + (-w*r2)*F 11:46 < sipa> and check whether the result is 0 11:46 < sipa> with unpredictable values r1 and r2, this will only be true whenever both equations hold 11:46 < sipa> (except with negligable probability) 11:47 -!- rh0nj [~rh0nj@88.99.167.175] has quit [Remote host closed the connection] 11:47 < sipa> agree? 11:47 < vfP56jSe> agreed! 11:47 < sipa> there is a small extra optimization that you can actually choose r1 or r2 equal to 1; only the ratio between the two needs to be unpredictable 11:48 -!- rh0nj [~rh0nj@88.99.167.175] has joined #bitcoin-wizards 11:48 < vfP56jSe> right 11:48 < sipa> if some of the points A/B/C and D/E/F overlap (usually the generator occurs in both), it compacts even further, because you'll just sum the relevant scalars 11:49 < sipa> say C=F, then the equation is r1*A + (-x*r1)*B + (-y*r1-w*r2)*C + r2*D + (-v*r2)*E for example 11:49 < sipa> so 11:50 < sipa> then you can use a "multi-exponentiation" algorithm to compute that sum of EC multiplications faster than computing the individual multiplications and summing them 11:51 < sipa> there are various algorithms to do this (quite remarkably), but the most known ones are probably Strauss' algorithm (also known as Shamir's trick), Bos-Coster, and Pippenger's algorithm 11:51 < sarang> It's such a simple and elegant way to go about it 11:51 < sipa> in particular Bos-Coster is quite elegant and accessible 11:52 < vfP56jSe> The BIP doesn't specify which algorithm so people can choose freely? 11:52 < sipa> of course 11:52 < sarang> They all have to give the same result 11:52 < sipa> it also doesn't explain how to do EC multiplication 11:52 < sipa> and it doesn't explain group theory 11:52 < sipa> :p 11:52 < vfP56jSe> "that sum of EC multiplications" = the entire "r1*A + (-x*r1)*B + (-y*r1-w*r2)*C + r2*D + (-v*r2)*E" ? 11:52 < sipa> yes 11:52 -!- tiagotrs [~user@unaffiliated/tiagotrs] has joined #bitcoin-wizards 11:53 < sarang> https://github.com/bitcoin-core/secp256k1/pull/486 has a neat chart showing the difference between two algorithms 11:54 < sipa> if you want to write a production-ready version of this you want a whole set of optimizations (more than you can reasonably explain in a BIP), plus development and testing practices that probably take years of engineering time 11:54 < vfP56jSe> So this way, we get the benefit of 1. Being able to sum the relevant scalars like "(-y*r1-w*r2)*C" 2. Use a "multi-exponentiation" algorithm to calculate the sum of EC multiplications like "r1*A + (-x*r1)*B + (-y*r1-w*r2)*C + r2*D + (-v*r2)*E"? 11:55 < vfP56jSe> sarang: Thanks for the link! 11:56 < vfP56jSe> In the BIP, "(s1 + a2s2 + ... + ausu)G" on the LHS of the equality we're testing is an example of #1, and the RHS is an example of #2 as I described above, correct? 11:57 < sipa> correct 11:57 < vfP56jSe> Wow cryptography isn't that intimidating afterall... 11:57 < vfP56jSe> Esp. with help from you guys haha 11:58 < sipa> i think the important part is realizing that you're certainly smart enough to design a system you can't break yourself - but others may 12:00 < vfP56jSe> Any way to mitigate against attacks from others? 12:00 < sipa> yes 12:00 < sipa> peer review 12:00 < sipa> :) 12:01 * vfP56jSe looks forward to the day when he can peer review Schnorr implementations 12:01 < sipa> i mean: never assume that something is secure because it looks safe to you 12:01 < vfP56jSe> Very true 12:02 < sipa> and provable security can help, but despite the name, security proofs don't actually prove something is secure - more accurately they teach you under exactly what sets of assumptions something is secure 12:02 < vfP56jSe> Do people here have any recommendations for other things to read that are as accessible as this BIP? 12:02 -!- maluk [~maluk@static-208-124-107-200.consolidated.net] has quit [Ping timeout: 272 seconds] 12:03 < sipa> vfP56jSe: waxwing has a number of pretty readable guides to several constructions used in cryptocurrencies 12:03 < vfP56jSe> sipa: Right, yeah it doesn't prove anything absolute but at least you can reduce to a set of assumptions that might be simpler 12:03 < sipa> vfP56jSe: yes, but even then - many things can go wrong that circumvent the proof 12:03 < sipa> especially when composing different pieces of cryptography 12:05 < vfP56jSe> Right... sipa do you have links to what specifically you're talking about from waxwing? 12:05 < vfP56jSe> Also I've been trying to understand MuSig... Any prereqs to understanding that? 12:11 -!- schmidty [~schmidty@unaffiliated/schmidty] has quit [Read error: Connection reset by peer] 12:12 -!- schmidty [~schmidty@unaffiliated/schmidty] has joined #bitcoin-wizards 12:13 < sipa> understanding that MuSig *works*... you probably know enough if you can read the schnorr BIP 12:14 < sipa> an intuition for why it is secure means you need to be familiar with the style of attacks against these constructions, and see it avoids them 12:14 < sipa> proving why it is secure.... i don't know enough for that 12:14 < sipa> (the paper has a proof, but it's beyond my skill) 12:14 -!- maluk [~maluk@static-208-124-107-200.consolidated.net] has joined #bitcoin-wizards 12:15 < sipa> by "works" i mean: show that if honest users follow the signing protocol, they end up with a signature that the verification eq accepts 12:15 < vfP56jSe> What should I read to "be familiar with the style of attacks against these constructions" 12:16 < sipa> "A Generalized Birthday Problem" 12:16 < sipa> by D Wagner 12:17 < sipa> the MuSig paper includes an explanation of an earlier version of the construction, and an attack based on wagner's algorithm against it 12:17 < sipa> section 3.2 12:19 < vfP56jSe> Thank you 12:24 -!- Belkaar [~Belkaar@unaffiliated/belkaar] has quit [Ping timeout: 250 seconds] 12:24 < nickler> vfP56jSe: waxwings block https://joinmarket.me and his writeup "from zero (knowledge) to bulletproofs" https://github.com/AdamISZ/from0k2bp/blob/master/from0k2bp.pdf 12:24 -!- Belkaar [~Belkaar@xdsl-87-79-97-17.nc.de] has joined #bitcoin-wizards 12:24 -!- Belkaar [~Belkaar@xdsl-87-79-97-17.nc.de] has quit [Changing host] 12:24 -!- Belkaar [~Belkaar@unaffiliated/belkaar] has joined #bitcoin-wizards 12:28 -!- michaelsdunn1 [~michaelsd@unaffiliated/michaelsdunn1] has quit [Remote host closed the connection] 12:29 -!- spinza [~spin@155.93.246.187] has quit [Quit: Coyote finally caught up with me...] 12:30 -!- maluk 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joined #bitcoin-wizards 16:24 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has quit [Remote host closed the connection] 16:24 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has joined #bitcoin-wizards 16:26 -!- zekk [~zekk@2a06:4001:901d:0:68cd:6542:eb24:dd98] has joined #bitcoin-wizards 16:31 -!- altona [~altona@CPEf0f2495a3c83-CMf0f2495a3c80.cpe.net.cable.rogers.com] has joined #bitcoin-wizards 16:32 -!- alferz [~alferz@unaffiliated/alfer] has quit [Ping timeout: 240 seconds] 16:32 -!- borlando [~borlando@177.79.18.131] has joined #bitcoin-wizards 16:38 -!- borland [~borlando@179.187.225.34.dynamic.adsl.gvt.net.br] has joined #bitcoin-wizards 16:38 -!- borlando [~borlando@177.79.18.131] has quit [Read error: Connection reset by peer] 16:46 < waxwing> re: "security proofs don't actually prove something is secure - more accurately they teach you under exactly what sets of assumptions something is secure" : the recent zcash thing (at least going from the blog) illustrates the unfortunate reality that even somehow doesn't cut it, security proofs seem to be flawed sometimes 16:46 < waxwing> but i guess it really depends on how complex it is, among other things. 16:47 < waxwing> even *that* somehow ... etc , sorry 16:47 < sipa> waxwing: i should have added "even flawless security proofs" :) 16:49 -!- rusty [~rusty@pdpc/supporter/bronze/rusty] has joined #bitcoin-wizards 16:53 -!- borland [~borlando@179.187.225.34.dynamic.adsl.gvt.net.br] has quit [Quit: Quit] 16:59 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has quit [Remote host closed the connection] 17:03 -!- zekk [~zekk@2a06:4001:901d:0:68cd:6542:eb24:dd98] has quit [Ping timeout: 252 seconds] 17:03 -!- Guyver2 [AdiIRC@guyver2.xs4all.nl] has quit [Quit: Going offline, see ya! (www.adiirc.com)] 17:17 < gmaxwell> waxwing: the zcash stuff before didn't have a security proof at all, IIRC. 17:17 < gmaxwell> waxwing: also, my understanding is that the snark stuff in general is not provable under typical security models, because they make security assumptions which are non-falsifyable. 17:19 -!- DeanGuss [~dean@gateway/tor-sasl/deanguss] has joined #bitcoin-wizards 17:24 -!- _whitelogger [~whitelogg@uruz.whitequark.org] has quit [Remote host closed the connection] 17:25 -!- tiagotrs [~user@unaffiliated/tiagotrs] has quit [Ping timeout: 268 seconds] 17:25 -!- _whitelogger [~whitelogg@uruz.whitequark.org] has joined #bitcoin-wizards 17:30 -!- zekk [~zekk@2a06:4001:901d:0:68cd:6542:eb24:dd98] has joined #bitcoin-wizards 17:42 -!- zekk [~zekk@2a06:4001:901d:0:68cd:6542:eb24:dd98] has quit [Ping timeout: 268 seconds] 17:47 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has joined #bitcoin-wizards 17:48 -!- zekk [~zekk@2a06:4001:901d:0:68cd:6542:eb24:dd98] has joined #bitcoin-wizards 17:48 -!- zekk [~zekk@2a06:4001:901d:0:68cd:6542:eb24:dd98] has quit [Remote host closed the connection] 17:53 -!- zekk [~zekk@2a06:4001:901d:0:68cd:6542:eb24:dd98] has joined #bitcoin-wizards 17:53 -!- pinheadmz [~matthewzi@c-76-102-227-220.hsd1.ca.comcast.net] has quit [Quit: pinheadmz] 17:53 -!- TheoStorm [~TheoStorm@host-lzquwqj.cbn1.zeelandnet.nl] has quit [Quit: Leaving] 17:53 -!- Murch [~murch@50-200-105-218-static.hfc.comcastbusiness.net] has quit [Quit: Snoozing.] 17:54 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has quit [Ping timeout: 250 seconds] 17:57 -!- zekk [~zekk@2a06:4001:901d:0:68cd:6542:eb24:dd98] has quit [Ping timeout: 250 seconds] 18:00 -!- comedy [~comedy@ool-182ec644.dyn.optonline.net] has joined #bitcoin-wizards 18:04 -!- altona [~altona@CPEf0f2495a3c83-CMf0f2495a3c80.cpe.net.cable.rogers.com] has quit [] 18:08 -!- Murch [~murch@50-200-105-218-static.hfc.comcastbusiness.net] has joined #bitcoin-wizards 18:20 -!- comedy [~comedy@ool-182ec644.dyn.optonline.net] has quit [Quit: comedy] 18:27 -!- comedy [~comedy@ool-182ec644.dyn.optonline.net] has joined #bitcoin-wizards 18:28 < comedy> 🙂 18:30 -!- zekk [~zekk@2a06:4001:901d:0:68cd:6542:eb24:dd98] has joined #bitcoin-wizards 18:33 -!- Belkaar [~Belkaar@unaffiliated/belkaar] has quit [Ping timeout: 245 seconds] 18:34 -!- Belkaar [~Belkaar@xdsl-78-35-72-17.nc.de] has joined #bitcoin-wizards 18:34 -!- Belkaar [~Belkaar@xdsl-78-35-72-17.nc.de] has quit [Changing host] 18:34 -!- Belkaar [~Belkaar@unaffiliated/belkaar] has joined #bitcoin-wizards 18:41 -!- zekk [~zekk@2a06:4001:901d:0:68cd:6542:eb24:dd98] has quit [Ping timeout: 252 seconds] 18:48 -!- comedy [~comedy@ool-182ec644.dyn.optonline.net] has quit [Quit: comedy] 18:50 -!- riclas [riclas@148.63.37.111] has quit [Ping timeout: 268 seconds] 18:53 -!- harrymm [~harrymm@69.161.195.103] has joined #bitcoin-wizards 18:53 < Madars> there are impossibility results in the standard model (e.g. Gentry-Wichs), but we do have SNARKs in random-oracle model which, while non-falsifiable, is widely accepted (the tightest Schnorr reductions, Bulletproofs, etc all rely on it) 18:57 -!- _whitelogger [~whitelogg@uruz.whitequark.org] has quit [Remote host closed the connection] 18:58 -!- rusty [~rusty@pdpc/supporter/bronze/rusty] has quit [Ping timeout: 244 seconds] 18:58 -!- _whitelogger [~whitelogg@uruz.whitequark.org] has joined #bitcoin-wizards 19:03 -!- rusty [~rusty@pdpc/supporter/bronze/rusty] has joined #bitcoin-wizards 19:09 -!- racoonslug [uid321818@gateway/web/irccloud.com/x-etgqwxpcowgystug] has quit [Quit: Connection closed for inactivity] 19:13 -!- comedy [~comedy@ool-182ec644.dyn.optonline.net] has joined #bitcoin-wizards 19:15 < gmaxwell> Madars: thanks, indeed. RO model is happily accepted in the world of pratical cryptosystems. 19:17 -!- comedy [~comedy@ool-182ec644.dyn.optonline.net] has quit [Ping timeout: 246 seconds] 19:20 -!- drexl [~drexl@cpc130676-camd16-2-0-cust445.know.cable.virginm.net] has quit [Quit: drexl] 19:28 -!- pinheadmz [~matthewzi@c-76-102-227-220.hsd1.ca.comcast.net] has joined #bitcoin-wizards 19:33 -!- zekk [~zekk@2a06:4001:901d:0:68cd:6542:eb24:dd98] has joined #bitcoin-wizards 19:33 -!- rusty2 [~rusty@pdpc/supporter/bronze/rusty] has joined #bitcoin-wizards 19:34 -!- Murch [~murch@50-200-105-218-static.hfc.comcastbusiness.net] has quit [Quit: Snoozing.] 19:34 -!- rusty [~rusty@pdpc/supporter/bronze/rusty] has quit [Ping timeout: 245 seconds] 19:35 -!- Murch [~murch@50-200-105-218-static.hfc.comcastbusiness.net] has joined #bitcoin-wizards 19:36 -!- Murch [~murch@50-200-105-218-static.hfc.comcastbusiness.net] has quit [Client Quit] 19:42 -!- pinheadmz [~matthewzi@c-76-102-227-220.hsd1.ca.comcast.net] has quit [Ping 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