--- Log opened Mon Nov 26 00:00:34 2018
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16:00 < ddustin> I am confused by this question -- is secp245k a prime field or a binary field?
16:02 < ddustin> Ah apparently it is on a prime field according to this wiki: https://en.bitcoin.it/wiki/Secp256k1
16:03 < ddustin> A and B are both positive values right?
16:05 < ddustin> Well I guess since A is 0 it's neither. Is B 7 or -7?
16:07 < sipa> ddustin: in finite fields the word "positive" and "negative" have no meaning
16:08 < sipa> the equation is y^2 = x^3 + 7
16:08 < sipa> B is 7
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16:11 < ddustin> Okay that makes sense, thanks
16:16 < sipa> just to be clear, this doesn't mean the negation operation doesn't exist
16:17 < sipa> but for example -7 is the same as 115792089237316195423570985008687907853269984665640564039457584007908834671656, so it's equally positive or negative
16:19 < ddustin> Huh, so is the ecdh as simple as multiplying the public key point by the private key scalar?
16:21 < sipa> yes
16:22 < sipa> and then taking the hash of the result, otherwise it will be gratuitously biased
16:22 < sipa> (which doesn't matter for all applications, but it does to some)
16:23 < sipa> and for curves with a cofactor, verifying that the public point is on the proper subgroup
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16:36 < ddustin> Cool, makes sense
16:55 < ddustin> Why is the even / oddness of the y value also included in the diffie hash?
16:55 < sipa> otherwise one bit of the input would be ignored
16:56 < sipa> (and you'd be able to construct different pubkey/secret pairs that map to the same outout)
17:01 < ddustin> Ah intersting. thanks again.
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--- Log closed Tue Nov 27 00:00:35 2018