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| 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/ | 04:49 |
| 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] | 04:50 |
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| 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 | 04:55 |
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| kanzure | "Processing analytical queries over encrypted data" http://db.csail.mit.edu/pubs/tu-monomi-cr-vldb13.pdf | 06:50 |
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| bsm117532 | https://en.wikipedia.org/wiki/Paillier_cryptosystem | 06:55 |
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| 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 | 06:59 |
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| ThomasV | !seen aschildbach | 07:17 |
| gribble | I have not seen aschildbach. | 07:17 |
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| Iriez | Are any of the maintainers in contact with the W3C people? I see ripple has invested a reasonable amount of effort. | 10:50 |
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| maaku | Iriez: maintainers of what? | 11:39 |
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| zmanian | What is difference between Scalar, Field and Group arithmetic on Elliptic Curve group? Trying to figure out if my impressions are correct... | 18:20 |
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| 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 | 18:54 |
| andytoshi | oh, fyi i'm talking specifically about secp256k1 here, things are actually a bit more general | 18:55 |
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| 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 | 19:37 |
| * kanzure updates his understanding of gmaxwell to have sourced >1% of facts from anime | 19:39 | |
| kanzure | blame is really good manga, btw | 19:39 |
| 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. :) | 19:41 |
| kanzure | https://en.wikipedia.org/wiki/Blame! | 19:42 |
| 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) | 19:43 |
| copumpkin | gmaxwell: I got it as an option in my IB course | 19:49 |
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| zmanian | andytoshi: Thanks. Clears things up. I was confused if the field or the group was isomorphic to the integers mod n | 20:17 |
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