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simplpedpop internals: simplify
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jonasnick committed Dec 19, 2024
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Expand Up @@ -280,11 +280,10 @@ Our variant of the SimplPedPop protocol then works as follows:
In order to obtain a threshold public key with an unspendable [[BIP 341](https://github.com/bitcoin/bips/blob/master/bip-0341.mediawiki)] Taproot script path,
participant `i` computes a Taproot tweak `tweak` for an unspendable script path,
and adds the point `tweak * G` to `sum_coms[0]`, resulting in a new VSS commitment called `sum_coms_tweaked`.
Participant `i` computes the public share of every participant `j != i` as
Participant `i` computes the public share of every participant as
```
pubshares[j] = (j+1)^0 * sum_coms_tweaked[0] + ... + (j+1)^(t-1) * sum_coms_tweaked[t-1]
```
and participant `i`'s own share as `pubshares[i] = pubshare + tweak * G`.
Correspondingly, participant `i` computes `secshare_tweaked = secshare + tweak`.
Then, participant `i` sets the DKG output consisting of
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