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04:49 < nsh> --
04:49 < nsh> Surprisingly this works not only against symmetric keys such as AES or generic HMAC secrets but also against elliptic-curve private keys (RSA, plain DSA and Diffie-Hellman were not affected.) This is an implementation quirk: these mechanisms are typically intended for symmetric-keys only. For elliptic-curve keys, the byte array being truncated is the secret scalar part of the key. For example the “secret” component for a Bitcoin ECDSA key is a discre
04:49 < nsh> te logarithm in secp256k1. Internally that discrete logarithms is just stored as 32-byte scalar value, and extract-key-from-key can be used to successively reveal chunks of that scalar value.
04:49 < nsh> -- https://randomoracle.wordpress.com/2015/08/13/safenet-hsm-key-extraction-vulnerability-part-i/
04:50 < nsh> [don't implement everything in PKCS#11 or people may create two-byte substrings of your secrets and break them piecewise, and then you will have a Bad Time]
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04:55 < nsh> 'One limitation of this approach is that some secrets are intended for key-derivation. For example that secp256k1 private-key could have been used for ECDH key-agreement. That operation happens to be considered “key-derivation” according PKCS#11. That means CKA_DERIVE can not be set to false without rendering the key unusable. Per-object policy does not distinguish between derivation mechanisms at a granular level.'
04:55 < nsh> heh
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06:50 < kanzure> "Processing analytical queries over encrypted data" http://db.csail.mit.edu/pubs/tu-monomi-cr-vldb13.pdf
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06:55 < bsm117532> https://en.wikipedia.org/wiki/Paillier_cryptosystem
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06:59 < kanzure> .wik https://en.wikipedia.org/wiki/Paillier_cryptosystem
06:59 < yoleaux> "The Paillier cryptosystem, named after and invented by Pascal Paillier in 1999, is a probabilistic asymmetric algorithm for public key cryptography. The problem of computing n-th residue classes is believed to be computationally difficult." — https://en.wikipedia.org/wiki/Paillier_cryptosystem
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07:17 < ThomasV> !seen aschildbach
07:17 < gribble> I have not seen aschildbach.
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10:50 < Iriez> Are any of the maintainers in contact with the W3C people? I see ripple has invested a reasonable amount of effort.
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11:39 < maaku> Iriez: maintainers of what?
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18:20 < zmanian> What is difference between Scalar, Field and Group arithmetic on Elliptic Curve group? Trying to figure out if my impressions are correct...
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18:54 < andytoshi> zmanian: the field is the field over which the curve is defined (by the equation y^2 = x^3 + 7). it is integers mod 2^255 - 2^23 - 877 i think
18:54 < andytoshi> zmanian: the group is the actual elliptic curve group whose elements are points on the curve
18:54 < andytoshi> zmanian: the group has prime order so it is cyclic, meaning isomorphic to the integers mod N for some prime N. scalar arithmetic is the integers mod N
18:55 < andytoshi> oh, fyi i'm talking specifically about secp256k1 here, things are actually a bit more general
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19:37 < gmaxwell> I wish abstract algebra were[D[D[D taught in highschools in the US. According to anime it's taught in grade school in japan. :P
19:39  * kanzure updates his understanding of gmaxwell to have sourced >1% of facts from anime
19:39 < kanzure> blame is really good manga, btw
19:41 < gmaxwell> hahah. I'm not really a big anime fan. more than a decade ago I had a girlfriend that was... and it's hard to work in technology without knowing more than a few. :)
19:42 < kanzure> https://en.wikipedia.org/wiki/Blame!
19:43 < gmaxwell> (What I was actually thinking about there was the number theory in Puella Magi; there is some scene with fermats little theorm or CRT or something)
19:49 < copumpkin> gmaxwell: I got it as an option in my IB course
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20:17 < zmanian> andytoshi: Thanks. Clears things up. I was confused if the field or the group was isomorphic to the integers mod n
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--- Log closed Thu Oct 08 00:00:51 2015