--- Log opened Fri Jan 26 00:00:40 2024
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04:16 < real_or_random> nonce generation is independent of tweaking
04:16 < real_or_random> nonce aggregation order doesn't matter
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12:45 < jeremyrubin> if i have a valid x only key, is there any invertible operation I can do to to it that makes it invalid?
12:46 < jeremyrubin> e.g., flipping all the bits?
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12:47 < jeremyrubin> >  Determine if this pubkey is fully valid. This is true for approximately 50% of all possible 32-byte arrays. If false, VerifySchnorr, CheckTapTweak and CreateTapTweak will always fail.
12:48 < jeremyrubin> Given this comment on XOnlyPubkey, it seems that there _should_ be (if it's negligible and 50%) some operation that is perhaps not invertible, but at can guarantee that f(key) is unique and non spendable with high confidence
12:49 < jeremyrubin> I guess one easy one is f(x) = if x.IsValid() {return x} else { f(sha256(x))}
12:50 < jeremyrubin> this should converge within 256 steps with high confidence
12:50 < jeremyrubin> but it's not unique since one can easily find a value X, Y such that they have the same point
12:51 < jeremyrubin> to fix that, binding the original x at each hash would make that attack not work
12:51 < jeremyrubin> f(x, x'=x) = if x.IsValid() {return x} else { f(sha256(x' || x), x')}
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14:11 < stevenroose> jeremyrubin: aren't you looking for invalid keys instead of valid ones? your script says IsValid..
14:11 < stevenroose> Also, can't you simple increment after the sha256? You can't create duplicates because you can't find another key that hashes to the same sha256 or up to N (small) increments of that sha256..
14:13 < stevenroose> f(x) = let y = sha256(x); loop { if y.is_invalid() { return y } else { y += 1 } }
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19:59 < jeremyrubin> ah yea i meant if not isValid(), was a typo :)
20:00 < jeremyrubin> stevenroose: simple increment would work too i think, you're right
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--- Log closed Sat Jan 27 00:00:36 2024