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Correct FROST DLEq documentation

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Luke Parker 2022-12-07 20:32:08 -05:00
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10
docs/cryptography/FROST.md
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@ -15,12 +15,12 @@ also modular so formats which aren't naive like the IETF's can be used.
In order to support algorithms which require their nonces be represented across
multiple generators, FROST supports providing a nonce's commitments across
multiple generators. In order to ensure their correctness,
multiple generators. In order to ensure their correctness, an extended
[CP93's Discrete Log Equality Proof](https://chaum.com/wp-content/uploads/2021/12/Wallet_Databases.pdf)
is used. `2 * (n - 1)` proofs are included, since FROST nonces are binomial.
Each pair of proofs prove discrete log equality between the first pair of
commitments and each sequential pair. In the future, a single pair of DLEq
proofs, proving for all generators, may be provided.
is used. The extension is simply to transcript `n` generators, instead of just
two, enabling proving for all of them at once. Since FROST nonces are binomial,
two DLEq proofs are provided, one for each nonce component. In the future, a
modified proof proving for both components simultaneously may be used.
As some algorithms require multiple nonces, effectively including multiple
Schnorr signatures within one signature, the library also supports providing