--- Log opened Tue Jun 06 00:00:14 2017
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02:26 < nickler> adiabat: Isn't your Discreet Log Contracts scheme vulnerable to pubkey cancellation? The oracle could for example set R to -Pub_A resulting in Pub_Ai = -h(i, R)*V such that the oracle alone can spend that output. Or Alice could set Pub_A to -s_i*G + x*G to spend the output without the oracle's involvement.
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05:43 < waxwing> nickler: would the delinearlization thing fix it, i.e. you send to hash(P_A)P_A + s_iG (by 'it' i mean your second point)
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06:06 < instagibbs> waxwing, the oracle should delinearize her R. It's a fixed number of pubkeys so I don't think you have to be worried about wagner-style attacks
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06:25 < nickler> waxwing: Yes. And as instagibbs says you could make Pub_Ai = h(Pub_A)*Pub_A + H(s_i*G)*s_i*G.
06:26 < nickler> instagibbs: The paper mentions the case of multiple oracles, so it's probably better to defend against Wagner attacks by additionally including all pubkeys in the hashes.
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06:38 < instagibbs> The oracle(s) cannot delinearize against the players' pubkeys(since they don't know them), which makes me wonder if there's a secure way to combine players' pubkeys for some reason.
06:42 < instagibbs> (sorry that came out fairly confused, I'll think it over instead)
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08:16 < instagibbs> For clarity: You can have the oracles delinearize their pubkeys all together, then also have any smart contract participants do the same if they are doing pubkey combination as well.
08:16 < instagibbs> results in just 2 H(...) values, so not vuln to wagners
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09:10 < adiabat> nickler: hm, probably best to delinearize all the keys just to be on the safe side
09:10 < adiabat> In the case of Alice / Bob, it's all interactive so they can sign with their pubkeys before adding in the oracle's signature point
09:12 < adiabat> But yeah... why not save those signatures and multiply everything by a hash of all the pubkeys involved
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--- Log closed Wed Jun 07 00:00:15 2017