--- Log opened Sun Oct 07 00:00:30 2018 00:02 -!- ynakason_ [~ynakasone@2001:df0:eb:2f00:a8c4:54d8:8e2a:d9f4] has joined #bitcoin-wizards 00:03 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:91d0:9018:f50f:3a01] has quit [Ping timeout: 252 seconds] 00:07 -!- ynakason_ [~ynakasone@2001:df0:eb:2f00:a8c4:54d8:8e2a:d9f4] has quit [Ping timeout: 260 seconds] 00:13 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Remote host closed the connection] 00:14 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 00:15 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:a8c4:54d8:8e2a:d9f4] has joined #bitcoin-wizards 00:16 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:a8c4:54d8:8e2a:d9f4] has quit [Remote host closed the connection] 00:21 -!- dstadulis [~dstadulis@141.255.166.195] has quit [Quit: dstadulis] 00:21 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:a8c4:54d8:8e2a:d9f4] has joined #bitcoin-wizards 00:24 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:a8c4:54d8:8e2a:d9f4] has quit [Remote host closed the connection] 00:25 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:a8c4:54d8:8e2a:d9f4] has joined #bitcoin-wizards 00:32 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:a8c4:54d8:8e2a:d9f4] has quit [Ping timeout: 260 seconds] 00:33 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:f446:b2a9:36f2:92f7] has joined #bitcoin-wizards 00:37 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:f446:b2a9:36f2:92f7] has quit [Ping timeout: 260 seconds] 00:59 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:a0bc:2c7d:4407:1b1f] has joined #bitcoin-wizards 01:03 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:a0bc:2c7d:4407:1b1f] has quit [Ping timeout: 252 seconds] 01:14 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:a0bc:2c7d:4407:1b1f] has joined #bitcoin-wizards 01:14 -!- Krellan [~Krellan@2601:640:4000:9258:71a3:eea3:fa92:9eb4] has quit [Read error: Connection reset by peer] 01:15 -!- Krellan [~Krellan@2601:640:4000:9258:1dd6:5f2d:dd4f:c066] has joined #bitcoin-wizards 01:17 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:a0bc:2c7d:4407:1b1f] has quit [Remote host closed the connection] 01:42 < esotericnonsense> gmaxwell: er; so if I'm not interpreting this; idea; an empty block via consensus requires the next block to be kMAX_WEIGHT where k<1 01:42 < esotericnonsense> misinterpreting* 01:44 < aj> esotericnonsense: underweight, so if you have an x kiloweight block, the next block could be at most k*x (k>1), i think? 01:44 < esotericnonsense> the smaller block is less orphanable because it's smaller 01:44 < esotericnonsense> (it propagates faster) 01:44 < aj> hmm, k*x+a? x+a? 01:45 < esotericnonsense> so this only works if fee income is preferred to fast blocks 01:45 -!- BashCo_ [~BashCo@unaffiliated/bashco] has joined #bitcoin-wizards 01:45 < esotericnonsense> and if fee income is preferred to fast blocks you don't get empty blocks anyway 01:45 < esotericnonsense> perhaps I'm confused 01:45 -!- BashCo_ [~BashCo@unaffiliated/bashco] has quit [Client Quit] 01:46 < esotericnonsense> basically I don't see why there would be a preference for mining on the chain fork that doesn't have the empty block because the existence of the empty block shows that it's not cared about anyway (unless we're just talking about the odd empty 1 in 100, then does it matter?) 01:46 < aj> esotericnonsense: miners might have different practices; if i mine an empty block because i don't care about fees, someone else might orphan me because they care more about fee income (they'd collect more fees in a larger block orphaning me) 01:46 < aj> s/practices/preferences/ 01:46 < esotericnonsense> sure, that makes sense, but only in the case where there's two blocks at the same height and one is empty 01:46 < esotericnonsense> is that common? 01:47 < esotericnonsense> (could we also define most-work chain as same-height but not empty to combat that\?) 01:47 < aj> esotericnonsense: that's the intended outcome of the change -- mine an empty block and someone else orphans you rather than building on top 01:47 < esotericnonsense> see last comment; if you add that it works, yeah (I'm not aware this is how it works) 01:48 < esotericnonsense> have to head out for a bit... jumped in whilst busy :P 01:48 < aj> have fun 01:54 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:1896:1a3b:ce1:c870] has joined #bitcoin-wizards 01:54 < esotericnonsense> ah i see now. 'define most work chain' is arbitrary, miners that want that will just knock the empty block out to consider the more-full-at-same-height target instead and hopefully that's dominant behaviour and so it makes sense to orphan. yeah. 01:54 * esotericnonsense needs coffee. 01:55 < esotericnonsense> and the k*x solution you mentioned deals with the 'game empty blocks stuff by making a 3tx block instead, ohoho' stuff. 01:55 < esotericnonsense> nice. 01:57 -!- tombusby [~tombusby@gateway/tor-sasl/tombusby] has quit [Remote host closed the connection] 01:58 -!- tombusby [~tombusby@gateway/tor-sasl/tombusby] has joined #bitcoin-wizards 01:58 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:1896:1a3b:ce1:c870] has quit [Ping timeout: 252 seconds] 02:06 -!- TheoStorm [~dnaleor@88.208.87.3] has joined #bitcoin-wizards 02:09 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:595e:8b92:3731:ed99] has joined #bitcoin-wizards 02:11 -!- ynakason_ [~ynakasone@2001:df0:eb:2f00:941c:1768:7332:caeb] has joined #bitcoin-wizards 02:12 -!- ynakaso__ [~ynakasone@2001:df0:eb:2f00:11a8:d92f:4bd1:db71] has joined #bitcoin-wizards 02:14 -!- ynakasone [~ynakasone@2001:df0:eb:2f00:595e:8b92:3731:ed99] has quit [Ping timeout: 240 seconds] 02:14 -!- TheoStorm [~dnaleor@88.208.87.3] has quit [Quit: Leaving] 02:15 -!- ynakason_ [~ynakasone@2001:df0:eb:2f00:941c:1768:7332:caeb] has quit [Ping timeout: 252 seconds] 02:17 -!- ynakaso__ [~ynakasone@2001:df0:eb:2f00:11a8:d92f:4bd1:db71] has quit [Ping timeout: 240 seconds] 02:24 -!- Guyver2 [AdiIRC@guyver2.xs4all.nl] has joined #bitcoin-wizards 03:06 -!- gribble [~gribble@unaffiliated/nanotube/bot/gribble] has quit [Read error: Connection reset by peer] 03:12 -!- belcher_ [~belcher@unaffiliated/belcher] has quit [Ping timeout: 244 seconds] 03:21 -!- gribble [~gribble@unaffiliated/nanotube/bot/gribble] has joined #bitcoin-wizards 04:05 -!- belcher [~belcher@unaffiliated/belcher] has joined #bitcoin-wizards 04:35 -!- TheoStorm [~dnaleor@94.230.153.108] has joined #bitcoin-wizards 04:40 -!- TheoStorm [~dnaleor@94.230.153.108] has quit [Quit: Leaving] 05:10 -!- SopaXorzTaker [~SopaXorzT@unaffiliated/sopaxorztaker] has joined #bitcoin-wizards 05:21 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Remote host closed the connection] 05:22 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 05:25 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Remote host closed the connection] 05:26 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 05:42 -!- _whitelogger [~whitelogg@uruz.whitequark.org] has quit [Remote host closed the connection] 05:43 -!- _whitelogger [~whitelogg@uruz.whitequark.org] has joined #bitcoin-wizards 06:45 -!- douglas_ [~douglas@c-73-234-93-65.hsd1.nh.comcast.net] has joined #bitcoin-wizards 06:51 -!- douglas_ [~douglas@c-73-234-93-65.hsd1.nh.comcast.net] has quit [Ping timeout: 240 seconds] 07:14 -!- jcorgan_ [~jcorgan@64-142-68-61.dsl.static.sonic.net] has joined #bitcoin-wizards 07:14 -!- Noldorin [~noldorin@unaffiliated/noldorin] has joined #bitcoin-wizards 07:14 < waxwing> roasbeef, so conner's code for this is coming out soon-ish iiuc? just coming back to these papers and in addition to the above confusion, i also don't understand how Boudot gets 225k bits for his proof size. I see 4 group elements/scalars of size 1024 per run and 2 of size 512bits, and 80 runs, that gives 409k bits 07:15 < waxwing> andytoshi, so still teasing us with the cross curve thing eh :) 07:16 < sipa> waxwing: "DLEQ" 07:17 < waxwing> yeah he told me as much in milan ... ages ago. just, don't make me actually try to think, please :) 07:17 -!- jcorgan [~jcorgan@unaffiliated/jcorgan] has quit [Ping timeout: 252 seconds] 07:19 < sipa> have the error (when represented as scalar) that is applied to the two adaptor signatures in the two sides be the same 07:19 < sipa> but instead of having that result in the same error in point form, these will be two points with equal DL 07:19 < sipa> so include a proof in the OOB communication that those two points have equal DL 07:29 < waxwing> hmm yes, i can see from a quick review that DLEQ seems to work fine for two different curves as long as i can pick a nonce k, and a private key x, that are in range of whatever the smaller group is. 07:29 < nsh> what's being discussed? 07:29 < waxwing> hmm stated like that it seems very simple (so your 't' is the same, as before in adaptor sig, but just T_1 and T_2 with DLEQ instead of T). probably there's more to it, though. 07:30 < waxwing> nsh, adaptor sigs with the two sides on different elliptic curves. 07:30 < nsh> ah, ty 07:30 < waxwing> obv example might be ed25519 and secp256k1 07:30 < nsh> is there are paper / post? 07:31 * nsh reads kanz transcript https://diyhpl.us/wiki/transcripts/bitcoin-core-dev-tech/2018-03-05-cross-curve-atomic-swaps/ 07:31 < waxwing> that was the source of my joke :) andytoshi was talking about this quite a while ago, i was just watching a talk in Scaling where he was mentioning to the speaker he hasn't published it yet (and thought that he had) 07:32 < waxwing> yes, that one. just a comment after the talk. 07:32 < nsh> seems there was a draft last year but maybe not circulated 07:32 * nsh nods 07:32 < nsh> ty 07:33 < nsh> so proving DL equality maybe saves something relative to proving a more general statement because of equivalence class redundancy or whatever 07:35 < nsh> the sigma protocol for it here http://www.cs.au.dk/~ivan/Sigma.pdf looks pretty standard though 07:35 < nsh> so idunno, magic 07:36 < waxwing> i was vaguely mulling that topic (kinda) yesterday; think, like a canonical ZKP is basically "run a game and prove you know something clever by winning the game N times", but this is inefficient. whereas, Schnorr protocol is stupidly compact, why? i think because you're leveraging the structure of the group and proving something about an element 07:36 < nsh> exactly so i think 07:36 < waxwing> structure here basically means additive homomorphism, i guess 07:37 < waxwing> so DLEQ is nothing more than the schnorr protocol (just, another slight variant on it) 07:37 * nsh nods 07:37 < nsh> because of singularity/degeneracy with nilpotence / nilsummation it means you get a lot more from it than proof of a more fixed concrete relation 07:38 < nsh> or the universality of quantification is maximised to the group size. i don't know how a mathematician would put it most betterly 07:38 < waxwing> heh, me neither 07:39 < nsh> there was code in Feb but it's gone from: > https://github.com/dedis/crypto/blob/master/proof/dleq.go#L104 07:39 < nsh> 07:40 < waxwing> code for DLEQ? usually it's in the context of one curve though. i first looked at it described here: https://crypto.stackexchange.com/questions/15758/how-can-we-prove-that-two-discrete-logarithms-are-equal 07:40 < nsh> oh no it's here: https://github.com/dedis/kyber/tree/master/proof/dleq 07:40 -!- jcorgan_ [~jcorgan@64-142-68-61.dsl.static.sonic.net] has quit [Changing host] 07:40 -!- jcorgan_ [~jcorgan@unaffiliated/jcorgan] has joined #bitcoin-wizards 07:40 < nsh> yeah that's just two generators in the same curve, sorry 07:40 < waxwing> but it's all over the literature, not sure who first wrote it down, but probably the 80s :) 07:40 * nsh nods 07:41 < waxwing> gmaxwell, showed me that ^ link, was a nice compact summary 07:41 < nsh> cool 07:42 < waxwing> exercise for the reader, prove knowledge soundness of the protocol in the case where you're on two different curves (does the proof carry over?) 07:47 < waxwing> hmm, but it's not technically a proof of knowledge, so there's that... 07:49 * nsh nods 08:12 -!- rh0nj [~rh0nj@136.243.139.96] has quit [Remote host closed the connection] 08:13 -!- rh0nj [~rh0nj@136.243.139.96] has joined #bitcoin-wizards 08:20 < waxwing> test 08:20 < waxwing> now i think about it a bit more carefully, i dont actually understand how you build it: in the same-curve case, you just make a `s = k + ex` after having sent (interactive case) K_P, K_Q for the two claimed points P, Q against different generators G, J. but `s = k + ex` is calced mod the order of the curve. 08:21 < waxwing> if there are two curves with different orders, how would it work; send two different s values calced mod the two different orders? 08:23 < gmaxwell> waxwing: the curve being different order changes nothing 08:23 < gmaxwell> you choose s so it fits in both 08:28 < waxwing> gmaxwell, ah so you can just do s = k + ex and then mod for each curve afterwards when you do your verify step. 08:32 < gmaxwell> The signer can choose s to be less than the smaller of the two orders. 08:38 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Remote host closed the connection] 08:39 < waxwing> i don't get it :) 08:39 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 08:42 < waxwing> for context, say i'm the prover, i have points P, Q on different curves, claimed same privkey x, i send K_P, K_Q for same nonce k, receive e (or via F-S), then construct s = k + ex , but has to be mod order of either curve, or ...? 08:43 < gmaxwell> pick s to be the right size, derrive k. 08:44 < waxwing> but isn't the whole point of the schnorr (identity protocol, sig) that you can't go in that backward direction? 08:49 < gmaxwell> oh dur. sorry just woke up. :P 08:50 < waxwing> no worries :) fwiw i saw a couple of threads discussing this e.g. https://crypto.stackexchange.com/a/60129/14985 08:51 < waxwing> maybe relevant, but maybe not exactly the same Q being asked/answered 10:52 -!- wildermind [uid300433@gateway/web/irccloud.com/x-idztmdajfqrhblhi] has joined #bitcoin-wizards 11:18 -!- SopaXorzTaker [~SopaXorzT@unaffiliated/sopaxorztaker] has quit [Remote host closed the connection] 12:19 -!- sldfkjoq [2506c920@gateway/web/freenode/ip.37.6.201.32] has joined #bitcoin-wizards 12:20 -!- sldfkjoq [2506c920@gateway/web/freenode/ip.37.6.201.32] has quit [Client Quit] 12:22 -!- belcher [~belcher@unaffiliated/belcher] has quit [Ping timeout: 252 seconds] 12:25 -!- intcat [~zshlyk@gateway/tor-sasl/intcat] has quit [Remote host closed the connection] 12:27 -!- intcat [~zshlyk@gateway/tor-sasl/intcat] has joined #bitcoin-wizards 12:35 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Remote host closed the connection] 12:37 -!- Zenton [~user@unaffiliated/vicenteh] has quit [Read error: Connection reset by peer] 12:37 -!- Zenton [~user@unaffiliated/vicenteh] has joined #bitcoin-wizards 12:39 -!- belcher [~belcher@unaffiliated/belcher] has joined #bitcoin-wizards 12:42 -!- rh0nj [~rh0nj@136.243.139.96] has quit [Remote host closed the connection] 12:43 -!- rh0nj [~rh0nj@136.243.139.96] has joined #bitcoin-wizards 12:48 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 13:02 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Remote host closed the connection] 13:03 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 13:11 -!- Zenton [~user@unaffiliated/vicenteh] has quit [Read error: Connection reset by peer] 13:12 -!- Zenton [~user@unaffiliated/vicenteh] has joined #bitcoin-wizards 13:13 -!- intcat [~zshlyk@gateway/tor-sasl/intcat] has quit [Ping timeout: 256 seconds] 13:13 -!- intcat [~zshlyk@gateway/tor-sasl/intcat] has joined #bitcoin-wizards 13:20 -!- Zenton [~user@unaffiliated/vicenteh] has quit [Read error: Connection reset by peer] 13:22 -!- Zenton [~user@unaffiliated/vicenteh] has joined #bitcoin-wizards 13:22 -!- wildermind [uid300433@gateway/web/irccloud.com/x-idztmdajfqrhblhi] has quit [Quit: Connection closed for inactivity] 13:47 -!- Emcy [~Emcy@unaffiliated/emcy] has quit [Ping timeout: 252 seconds] 13:58 -!- Guyver2 [AdiIRC@guyver2.xs4all.nl] has quit [Quit: Going offline, see ya! 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[~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 14:57 < waxwing> earlier mentioned BCDG/Boudot thing: now I think it's ~ 327k bits: 2 initial commits each 1024, then *either* 1x512+2x1024 (1x512 because don't need to give w_2 as w_1 defines it), *or* 1x512 +1x1024 (you only give one (x+w, r+eta) pair if c=1). so 50% chance and average ends up with 327K bits for 80 runs. 14:57 < waxwing> can't get the 225K, kind of annoying. 15:05 -!- Noldorin [~noldorin@unaffiliated/noldorin] has quit [Quit: Textual IRC Client: www.textualapp.com] 15:19 -!- Noldorin [~noldorin@unaffiliated/noldorin] has joined #bitcoin-wizards 16:03 -!- jb55 [~jb55@S010660e327dca171.vc.shawcable.net] has quit [Quit: WeeChat 2.2] 16:44 -!- rh0nj [~rh0nj@136.243.139.96] has quit [Remote host closed the connection] 16:45 -!- rh0nj [~rh0nj@136.243.139.96] has joined #bitcoin-wizards 16:51 -!- Zenton [~user@unaffiliated/vicenteh] has quit [Ping timeout: 272 seconds] 17:10 -!- CheckDavid [uid14990@gateway/web/irccloud.com/x-xtjxuzjlyqetasgo] has quit [Quit: Connection closed for inactivity] 17:12 < maaku> jl2012: you realize that if you add witness structures, in any reasonable implementtion they would add to the weight of the block? 17:15 < andytoshi> sipa: waxwing: the standard DLEQ proof does not work with groups of different order, there isn't an algebraically meaningful way for two elements of different-order groups to be "equal" 17:15 < sipa> right, bitwise decomposition of the integer is equal 17:16 < andytoshi> yep. that's what the proof that i'd forgotten to publish does .. https://0bin.net/paste/Q5perGCU3+QMVnhz#fNpHXjX0me3Wa-UBItl4hTeK7wjBkl8JlFAmsbTlZVA 17:18 -!- Chris_Stewart_5 [~chris@unaffiliated/chris-stewart-5/x-3612383] has joined #bitcoin-wizards 17:18 -!- TheoStorm [~dnaleor@88.208.87.3] has joined #bitcoin-wizards 17:23 -!- TheoStorm [~dnaleor@88.208.87.3] has quit [Client Quit] 17:35 -!- nephyrin [~neph@24.17.211.60] has quit [Ping timeout: 252 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-!- Belkaar [~Belkaar@unaffiliated/belkaar] has joined #bitcoin-wizards 18:58 < kanzure> rehosted http://diyhpl.us/~bryan/papers2/bitcoin/cross-curve-atomic-swaps--equivalent-secret-values-across-curves.txt 18:58 < kanzure> re: http://diyhpl.us/wiki/transcripts/bitcoin-core-dev-tech/2018-03-05-cross-curve-atomic-swaps/ 19:11 < nsh> DL equality is an overconstrained rangeproof :) 19:22 -!- dcousens [~dcousens@124.182.9.76] has joined #bitcoin-wizards 19:23 -!- dcousens [~dcousens@124.182.9.76] has quit [Client Quit] 19:29 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has quit [Remote host closed the connection] 19:30 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has joined #bitcoin-wizards 19:34 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has quit [Ping timeout: 260 seconds] 19:50 -!- douglas_ [~douglas@c-73-234-93-65.hsd1.nh.comcast.net] has joined #bitcoin-wizards 19:58 -!- Noldorin 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[~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has quit [Remote host closed the connection] 20:58 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has joined #bitcoin-wizards 21:00 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has quit [Remote host closed the connection] 21:00 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has joined #bitcoin-wizards 21:00 -!- Chris_Stewart_5 [~chris@unaffiliated/chris-stewart-5/x-3612383] has quit [Ping timeout: 245 seconds] 21:02 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has quit [Remote host closed the connection] 21:03 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has joined #bitcoin-wizards 21:07 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has quit [Ping timeout: 252 seconds] 21:10 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has joined #bitcoin-wizards 21:17 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has quit [Remote host closed the connection] 21:17 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has joined #bitcoin-wizards 21:22 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has quit [Ping timeout: 260 seconds] 21:28 < roasbeef> waxwing: yeh should be out in the next few days or so, and some more utility code to start to do demos on testnet/mainnet 21:30 -!- Chris_Stewart_5 [~chris@unaffiliated/chris-stewart-5/x-3612383] has joined #bitcoin-wizards 21:30 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has joined #bitcoin-wizards 21:33 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has quit [Remote host closed the connection] 21:34 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has joined #bitcoin-wizards 21:38 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has quit [Ping 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23:22 -!- Chris_Stewart_5 [~chris@unaffiliated/chris-stewart-5/x-3612383] has joined #bitcoin-wizards 23:26 < kanzure> "Efficient sparse merkle trees" https://www.esat.kuleuven.be/cosic/publications/article-2695.pdf 23:37 -!- rusty [~rusty@pdpc/supporter/bronze/rusty] has quit [Ping timeout: 240 seconds] 23:37 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has quit [Remote host closed the connection] 23:38 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has joined #bitcoin-wizards 23:39 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has quit [Remote host closed the connection] 23:39 -!- ynakasone [~ynakasone@zz2014411797B6F89E82.userreverse.dion.ne.jp] has joined #bitcoin-wizards 23:40 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Remote host closed the connection] 23:40 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards --- Log closed Mon Oct 08 00:00:28 2018