| --- Log opened Mon Nov 03 00:00:00 2014 | ||
| --- Day changed Mon Nov 03 2014 | ||
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| austinhill | Just wanted to thank @gavinndresen @gwillen@luke-Jr Corrine DashJR, Mathias Dybvik Shad Kfir, @midnightmagic, Patrick Strateman Daniel Folkinshteyn, Shaul Kfir and the many other #bitcoin-wizards who have contributed to the ideas that formed Blockstream.com and your contributions to the whitepaper we released | 02:13 |
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| andytoshi | gmaxwell: huh. i guess i should subscribe to that group | 04:49 |
| andytoshi | gmaxwell: i don't get it, there is a standard NIZK "i know what of N discrete logs" i think due to cramer that you can just fiat-transform | 04:50 |
| andytoshi | s/what/one/ | 04:51 |
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| andytoshi | standard interactive proof of knowledge* ... then you FS it to get a nizk :) | 07:06 |
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| midnightmagic | I'm curious who austin hill is now. :) | 11:29 |
| midnightmagic | but, you're welcome, for the tiny bit I did do, in case you're still listening | 11:30 |
| zooko | Austin Hill is the CEO of Blockstream. | 11:33 |
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| midnightmagic | oh | 11:52 |
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| gmaxwell | So fun observation today: If you use RFC6979 as specificed with schnorr it introduces a vulnerability that schnorr doesn't have natively (though a somewhat fanciful one) | 11:59 |
| nsh | .wik RFC6979 | 11:59 |
| yoleaux | "In cryptography, the Elliptic Curve Digital Signature Algorithm (ECDSA) offers a variant of the Digital Signature Algorithm (DSA) which uses elliptic curve cryptography." — http://en.wikipedia.org/wiki/Elliptic_Curve_Digital_Signature_Algorithm | 11:59 |
| gmaxwell | 6979 computes K = HMAC(counter||priv||H(message),zeros) | 12:00 |
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| gmaxwell | so if I can find message and message' that are collisions for H() and I can get you to sign both of them, I get your private key. | 12:00 |
| zooko | Nice. | 12:01 |
| gmaxwell | Schnorr doesn't generally have problems with collisions because the hash is randomized. | 12:01 |
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| gmaxwell | (pieter is working on schnorr for libsecp256k1 (https://github.com/bitcoin/secp256k1/pull/87), the interface isn't high level enough to do determinstic signing yet. | 12:02 |
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| zooko | Wait, isn't `k` used only for the signature on `message`? | 12:04 |
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| gmaxwell | zooko: right but H(message) == H(message') in my example, so if I ask you to sign both of them you'll get the same K, and in schnorr the signature computes e = H(message||r) which will be different in each case. | 12:08 |
| gmaxwell | so you will sign two different messages with the same K in that example. It's not a serious vulnerability in that it assumes the attacker can construct a H() collision with two messages that you'll sign; but that is not something schnorr is normally weak against. | 12:10 |
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| zooko | I'm not very strong on this stuff. Isn't... Ohhh, H(message||r). I see. | 12:10 |
| zooko | Mildly surprised to see Thomas Pornin leave that in there. Couldn't it have been HMAC(k, m) instead of H(m) in 3.2.a.? | 12:11 |
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| gmaxwell | zooko: well the design was basically to take a pre-existing CSPRNG _exactly_ and apply it to DSA. | 12:12 |
| justanotheruser | I hope no implementations use a hashing algorithm with known collisions :P | 12:12 |
| gmaxwell | In the DSA case you're hosed if an attacker can produce collisions on H() since he'll make message' an evil forgery and ask you to sign message and just copy your signature. | 12:12 |
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| sipa | i'm interested whether a hash function could be constructed that is secure against preimage attacks (or at least as good as current designs are assumed to be), but not secure against collision at all | 12:19 |
| zooko | sipa: !! | 12:20 |
| zooko | sipa: the answer is: it is so easy that about half of all secure hash functions ever deployed have achieved it. ;-) | 12:20 |
| zooko | Or to put it another way: it is questionable whether we really know how to make collision-resistant hash functions, but pre-image-resistant hash functions are a dime a dozen. | 12:20 |
| sipa | well, yes | 12:20 |
| zooko | I have an unpublished note about this: https://tahoe-lafs.org/~zooko/preimage-attacks-color.html | 12:21 |
| zooko | My personal take-away is that if your thing can be invulnerable to collisions, then it is a huge step up. | 12:21 |
| justanotheruser | sipa: wouldn't that imply the the set of preimages had to be as big as the set of hashes? | 12:21 |
| sipa | hmm, md5 is further broken than i believed | 12:22 |
| sipa | 2^24.1 for a collision, while the expectation would be 2^64 | 12:22 |
| justanotheruser | actually I read that backwards | 12:22 |
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| justanotheruser | sipa: thats easy. sha256 % 2^246 | 12:23 |
| sipa | oh? produce me a collision for that? :p | 12:24 |
| justanotheruser | sipa: well there are only 1024 possible hashes... | 12:24 |
| sipa | no, 2^246 | 12:24 |
| sipa | if there are only 1024 possible hashes, then preimage is trivial too | 12:24 |
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| justanotheruser | lol, I need to go to bed. yes, sha256 % 2^20 or something | 12:25 |
| justanotheruser | however, finding a preimage would be through finding a collision, right? | 12:25 |
| sipa | justanotheruser: that still has the same expectations as usual... O(n) work for a preimage, O(sqrt(n)) for a collision | 12:25 |
| sipa | no? | 12:26 |
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| sipa | a preimage is find me an input for a specific hash (or for the same hash as a specific input) | 12:26 |
| sipa | a collision is find me two inputs with the same hash | 12:26 |
| justanotheruser | yeah | 12:26 |
| sipa | they're separate problems | 12:26 |
| justanotheruser | I know | 12:26 |
| sipa | i don't see how you would use a collision search to find a preimage | 12:27 |
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| justanotheruser | sipa: aren't collisions a subset of preimages found anyways? | 12:29 |
| sipa | huh? they're a superset | 12:30 |
| justanotheruser | you can just aren't bounded to a specific preimage rather, two preimages you can define when finding a collision | 12:30 |
| justanotheruser | right, superset | 12:30 |
| sipa | if you can find preimages, you can of course also find collisions | 12:30 |
| justanotheruser | please excuse me, I am a bit sleep deprived :P | 12:30 |
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| justanotheruser | hmm. you could make a really hackey hash function where the hashes aren't uniformly distributed. | 12:32 |
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| justanotheruser | If you're performing a preimage attack against a website, the website may be resistant since they require users passwords to hash to the secure values, however finding a collision in small range where, lets say 1/1000 hashes evaluate the the same value. | 12:34 |
| justanotheruser | If you want a poorly written hash function, there it is | 12:34 |
| sipa | that also makes preimages easy :) | 12:35 |
| justanotheruser | sipa: yeah, I'm slaughtering the definition. You can find a preimage in the insecure range and its still a preimage. | 12:35 |
| justanotheruser | is there something desirable about such a hash function? | 12:36 |
| sipa | well there seem to be use cases that do not require collision resistance | 12:36 |
| justanotheruser | Is there no proof collision finding in a hash function of log(preimage finding time) worst case? | 12:36 |
| sipa | if a hash function can be constructed that is much more efficient, at the cost of collision resistance, but without sacrificing preimage resistance, that may be worth it | 12:36 |
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| sipa | sqrt(),i hope | 12:37 |
| justanotheruser | lol, like I said, sleep deprived | 12:37 |
| justanotheruser | but ou would like log time wouldn't you? :) Lets pretend thats why I said it | 12:38 |
| sipa | sqrt(2^256) is still pretty infeasible | 12:38 |
| justanotheruser | livin in log(2^256) mining paradise | 12:39 |
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| justanotheruser | that is an interesting problem. Have you thought of any solutions? | 12:41 |
| sipa | seems MD5 would be a good candidate :p | 12:43 |
| sipa | best known preimage attack has 2^123 complexity | 12:43 |
| justanotheruser | do you think being easy for collisions is an actual property of the function though? | 12:44 |
| justanotheruser | or is it just that preimage attacks haven't been discovered to match | 12:45 |
| zooko | blake2 is faster than md5 [* | 12:46 |
| zooko | ] while also being collision-resistant [**]. | 12:46 |
| zooko | [*] sometimes | 12:46 |
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| zooko | [**] probably | 12:46 |
| gandalf | could maidsafe become a sidechain? | 12:46 |
| gandalf | FYI: maidsafe doesn't have a blockchain | 12:46 |
| gandalf | they use transaction managers which only track last states | 12:47 |
| justanotheruser | gandalf: if it doesn't have a blockchain it can't be a side "chain" | 12:47 |
| justanotheruser | you could have a two way peg though | 12:47 |
| gandalf | how? | 12:47 |
| justanotheruser | by coding a two way peg | 12:47 |
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| gandalf | how fast would that be? | 12:48 |
| justanotheruser | ? | 12:48 |
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| andytoshi | justanotheruser: you can derive much of modern crypto from nothing but one-way functions / one thing you -can't- (that we know of) is a CRHF | 12:50 |
| manaka | does anyone know what super3 storj meant when they said the network would gain from forks? | 12:50 |
| sipa | andytoshi: CRHF? | 12:51 |
| andytoshi | sipa: collision resistant hash function | 12:51 |
| sipa | oh, duhh | 12:51 |
| andytoshi | sorry, still reading scrollback, didn't realize that acronym hadn't appeared :) | 12:51 |
| manaka | https://www.youtube.com/watch?v=nO-fZgsovgI 26:00 | 12:52 |
| justanotheruser | andytoshi: we are discussing hash functinos vulnerable to collisions but not preimages | 12:52 |
| andytoshi | justanotheruser: yes, so a OWF that is not a CRHF | 12:52 |
| sipa | andytoshi: but even a one-way function is an assumption :) | 12:53 |
| Apocalyptic | "we are discussing hash functinos vulnerable to collisions" // that's redundant, a hash function has by design collisions | 12:53 |
| andytoshi | sipa: sure, but it seems like a safer one :) | 12:53 |
| manaka | how could forks of a blockchain get a piece from the original blockchain? | 12:53 |
| andytoshi | most of modern crypto implies OWF's ... the implications go in both directions | 12:53 |
| justanotheruser | andytoshi: not just not a CRHF (which I assume implies sqrt time for finding a collision), but something log or constant probably. | 12:53 |
| Apocalyptic | the interesting thing to study is how easy it is to find them | 12:53 |
| sipa | Apocalyptic: "vulnerable" in this context means "worse than the theoretical best bound" | 12:53 |
| paperbot | ConnectionError: HTTPConnectionPool(host='localhost', port=1969): Max retries exceeded with url: /web (Caused by <class 'socket.error'>: [Errno 104] Connection reset by peer) (file "/usr/local/lib/python2.7/dist-packages/requests/adapters.py", line 375, in send) | 12:53 |
| justanotheruser | manaka: #bitcoin | 12:53 |
| Apocalyptic | sipa, fair enough | 12:54 |
| andytoshi | Apocalyptic: yes, "vulnerable" means "there exists a PPT algo which can find a collision with nonnegligible (i.e. inverse polynomial) probability" | 12:54 |
| justanotheruser | while at the some time taking O(N) time to find a preimage | 12:54 |
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| manaka | what do you mean justanotheruser? the new fork would be completely different perhaps rebranded | 12:54 |
| andytoshi | justanotheruser: usually you talk of complexity in terms of the security parameter (e.g. 256) rather than the search space | 12:54 |
| justanotheruser | on a side note, are there any inductive hash functions | 12:55 |
| andytoshi | justanotheruser: so it's O(2^λ) | 12:55 |
| justanotheruser | I see | 12:55 |
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| justanotheruser | manaka: I mean questions you are asking belong in #bitcoin | 12:56 |
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| andytoshi | interestingly a QC wolud let you do a preimage attack with quadratic advantage ... idk what it gets you for collisions | 12:56 |
| andytoshi | mabye then in a quantum computer world collisions and preimages would be equally difficult? | 12:57 |
| andytoshi | (for a CRHF) | 12:57 |
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| justanotheruser | interesting | 12:59 |
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| justanotheruser | so those who care about preimages only would have to quadruple rather than double their security parameter | 13:00 |
| justanotheruser | only describes preimages in that sentence | 13:00 |
| phantomcircuit | gmaxwell, fortunately you're not hashing attacker supplied messages | 13:02 |
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| gmaxwell | andytoshi: n^1/3 http://arxiv.org/abs/quant-ph/9705002 (I think elsewhere it's proven to be tight) | 13:03 |
| phantomcircuit | also | 13:04 |
| phantomcircuit | http://www.goodwinprocter.com/Publications/Newsletters/Client-Alert/2014/1015_Software-Companies-Now-on-Notice-That-Encryption-Exports-May-Be-Treated-More-Seriously.aspx | 13:04 |
| phantomcircuit | :/ | 13:04 |
| justanotheruser | time to make a book of qr codes | 13:04 |
| gmaxwell | phantomcircuit: yea, doesn't apply to open source software (see berinstein v us), doesn't apply to authentication rather than encryption. | 13:04 |
| phantomcircuit | gmaxwell, good to know | 13:05 |
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| phantomcircuit | gmaxwell, the nice thing about how signing is used within bitcoin is that the message is largely not attacker selected | 13:06 |
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| zooko | gmaxwell: djb says that is incorrect: http://cr.yp.to/hash/collisioncost-20090823.pdf I haven't the knowledge necessary to judge if that's correct. | 13:15 |
| zooko | bbiab | 13:15 |
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| gmaxwell | zooko: yea, I actually think I was only aware of BMT due to reading that, but normally real details like the cost of the underlying hardware are unhelpfully ignored in asymptotic analysis. andytoshi's question though was is quantum preimage and collision the same speed, seems unlikely not. | 13:24 |
| gmaxwell | er BHT. | 13:25 |
| gmaxwell | zooko: IIRC DJB's argument is that there is a hidden machine size variable in it, and if you build classical computers with the same level of parallelism and use state of the art techniques you get similiar/better time performance. E.g. saying quantium isn't cost effective for these problems using fairly reasonable guesses at the costs of quantium logic vs classical. | 13:26 |
| gmaxwell | so not that you can't do searches in time n^1/3, but that classical machines with enough free parallelism can too. :) | 13:27 |
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| phantomcircuit | 2014-11-03 22:56:12 ERROR: CheckInputs() : tried to spend coinbase at depth 66 | 15:05 |
| phantomcircuit | 2014-11-03 22:56:12 ERROR: AcceptToMemoryPool: : ConnectInputs failed 39b5b867aa65fb1a1d3b8db628dff25a329e32ea069674110ae9f59e68f203be | 15:05 |
| phantomcircuit | 2014-11-03 22:56:12 ERROR: CheckInputs() : tried to spend coinbase at depth 66 | 15:05 |
| phantomcircuit | 2014-11-03 22:56:12 ERROR: AcceptToMemoryPool: : ConnectInputs failed dbfaca00ba435f33489294206b5d358e6d57570913e5026e5e18c69076ae528a | 15:05 |
| phantomcircuit | wat | 15:05 |
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| gmaxwell | either an out of sync node, or yet another mtgox-grade dim bulb who shouldn't be writing wallet code... | 15:15 |
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| gmaxwell | phantomcircuit: so for 39b5b867aa65fb1a1d3b8db628dff25a329e32ea069674110ae9f59e68f203be one of the inputs is exactly 100 blocks deep now. | 15:18 |
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| gmaxwell | likewise for the other txn | 15:19 |
| gmaxwell | but considering that you got that message like .. 20 minutes ago. ... hm, even then it shouldn't have been depth 66. I think your node is out of sync. | 15:19 |
| phantomcircuit | gmaxwell, must be | 15:20 |
| phantomcircuit | that's better than the alternative at least :) | 15:20 |
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| rusty | Dumb q: is there any code yet for IBLTs and O(1) block propagation? | 18:21 |
| rusty | (Or a BIP?) | 18:21 |
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| phantomcircuit | rusty, BlueMatt's relay network is iirc the best available which can be O(1) but i dont think it is | 18:24 |
| phantomcircuit | (since not all the transactions in the block are available) | 18:24 |
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| rusty | phantomcircuit: I was referring to Gavin's O(1) block propagation gist | 18:37 |
| phantomcircuit | rusty, the invertible bloom stuff? | 18:39 |
| phantomcircuit | i dont think anybody has implemented that | 18:39 |
| rusty | phantomcircuit: exactly. I'd be interested in how many of the transactions in the block have already reached other miners, which seems to be the critical component. | 18:40 |
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| phantomcircuit | rusty, BlueMatt 's relay network stuff does that and has that data | 18:45 |
| phantomcircuit | run a node and you'll see | 18:45 |
| rusty | phantomcircuit: thanks; googling now... | 18:46 |
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| gmaxwell | ::sigh:: http://www.reddit.com/r/Bitcoin/comments/2l83y5/an_attack_on_the_timestamp_semantics_of_bitcoin/ | 20:46 |
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| gmaxwell | What magic property of Bitcoin is that that otherwise intelligent people make clowns of themselves on interaction with it? | 20:49 |
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| --- Log closed Tue Nov 04 00:00:40 2014 | ||
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