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dkg-evrf Security Proofs (#681)
* Add audit statement for `dkg-evrf` This doesn't cover the implementation, solely the academia and background. Also moves the existing audit of the `crypto` folder for organizational reasons. * Add files via upload
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audits/crypto/Cypher Stack March 2023/Audit.pdf
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audits/crypto/Cypher Stack March 2023/Audit.pdf
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audits/crypto/Cypher Stack March 2023/LICENSE
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audits/crypto/Cypher Stack March 2023/LICENSE
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MIT License
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Copyright (c) 2023 Cypher Stack
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to deal
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in the Software without restriction, including without limitation the rights
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to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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copies of the Software, and to permit persons to whom the Software is
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in all
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copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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SOFTWARE.
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audits/crypto/Cypher Stack March 2023/README.md
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audits/crypto/Cypher Stack March 2023/README.md
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# Cypher Stack /crypto Audit, March 2023
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This audit was over the /crypto folder, excluding the ed448 crate, the `Ed448`
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ciphersuite in the ciphersuite crate, and the `dleq/experimental` feature. It is
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encompassing up to commit 669d2dbffc1dafb82a09d9419ea182667115df06.
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Please see https://github.com/cypherstack/serai-audit for provenance.
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audits/crypto/dkg/evrf/README.md
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audits/crypto/dkg/evrf/README.md
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# eVRF DKG
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In 2024, the [eVRF paper](https://eprint.iacr.org/2024/397) was published to
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the IACR preprint server. Within it was a one-round unbiased DKG and a
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one-round unbiased threshold DKG. Unfortunately, both simply describe
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communication of the secret shares as 'Alice sends $s_b$ to Bob'. This causes,
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in practice, the need for an additional round of communication to occur where
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all participants confirm they received their secret shares.
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Within Serai, it was posited to use the same premises as the DDH eVRF itself to
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achieve a verifiable encryption scheme. This allows the secret shares to be
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posted to any 'bulletin board' (such as a blockchain) and for all observers to
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confirm:
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- A participant participated
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- The secret shares sent can be received by the intended recipient so long as
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they can access the bulletin board
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Additionally, Serai desired a robust scheme (albeit with an biased key as the
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output, which is fine for our purposes). Accordingly, our implementation
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instantiates the threshold eVRF DKG from the eVRF paper, with our own proposal
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for verifiable encryption, with the caller allowed to decide the set of
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participants. They may:
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- Select everyone, collapsing to the non-threshold unbiased DKG from the eVRF
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paper
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- Select a pre-determined set, collapsing to the threshold unbaised DKG from
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the eVRF paper
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- Select a post-determined set (with any solution for the Common Subset
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problem), allowing achieving a robust threshold biased DKG
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Note that the eVRF paper proposes using the eVRF to sample coefficients yet
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this is unnecessary when the resulting key will be biased. Any proof of
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knowledge for the coefficients, as necessary for their extraction within the
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security proofs, would be sufficient.
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MAGIC Grants contracted HashCloak to formalize Serai's proposal for a DKG and
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provide proofs for its security. This resulted in
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[this paper](<./Security Proofs.pdf>).
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Our implementation itself is then built on top of the audited
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[`generalized-bulletproofs`](https://github.com/kayabaNerve/monero-oxide/tree/generalized-bulletproofs/audits/crypto/generalized-bulletproofs)
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and
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[`generalized-bulletproofs-ec-gadgets`](https://github.com/monero-oxide/monero-oxide/tree/fcmp%2B%2B/audits/fcmps).
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Note we do not use the originally premised DDH eVRF yet the one premised on
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elliptic curve divisors, the methodology of which is commented on
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[here](https://github.com/monero-oxide/monero-oxide/tree/fcmp%2B%2B/audits/divisors).
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Our implementation itself is unaudited at this time however.
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audits/crypto/dkg/evrf/Security Proofs.pdf
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audits/crypto/dkg/evrf/Security Proofs.pdf
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