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
This commit is contained in:
Luke Parker
2025-09-26 11:20:48 -04:00
committed by GitHub
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MIT License
Copyright (c) 2023 Cypher Stack
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

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# Cypher Stack /crypto Audit, March 2023
This audit was over the /crypto folder, excluding the ed448 crate, the `Ed448`
ciphersuite in the ciphersuite crate, and the `dleq/experimental` feature. It is
encompassing up to commit 669d2dbffc1dafb82a09d9419ea182667115df06.
Please see https://github.com/cypherstack/serai-audit for provenance.

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# eVRF DKG
In 2024, the [eVRF paper](https://eprint.iacr.org/2024/397) was published to
the IACR preprint server. Within it was a one-round unbiased DKG and a
one-round unbiased threshold DKG. Unfortunately, both simply describe
communication of the secret shares as 'Alice sends $s_b$ to Bob'. This causes,
in practice, the need for an additional round of communication to occur where
all participants confirm they received their secret shares.
Within Serai, it was posited to use the same premises as the DDH eVRF itself to
achieve a verifiable encryption scheme. This allows the secret shares to be
posted to any 'bulletin board' (such as a blockchain) and for all observers to
confirm:
- A participant participated
- The secret shares sent can be received by the intended recipient so long as
they can access the bulletin board
Additionally, Serai desired a robust scheme (albeit with an biased key as the
output, which is fine for our purposes). Accordingly, our implementation
instantiates the threshold eVRF DKG from the eVRF paper, with our own proposal
for verifiable encryption, with the caller allowed to decide the set of
participants. They may:
- Select everyone, collapsing to the non-threshold unbiased DKG from the eVRF
paper
- Select a pre-determined set, collapsing to the threshold unbaised DKG from
the eVRF paper
- Select a post-determined set (with any solution for the Common Subset
problem), allowing achieving a robust threshold biased DKG
Note that the eVRF paper proposes using the eVRF to sample coefficients yet
this is unnecessary when the resulting key will be biased. Any proof of
knowledge for the coefficients, as necessary for their extraction within the
security proofs, would be sufficient.
MAGIC Grants contracted HashCloak to formalize Serai's proposal for a DKG and
provide proofs for its security. This resulted in
[this paper](<./Security Proofs.pdf>).
Our implementation itself is then built on top of the audited
[`generalized-bulletproofs`](https://github.com/kayabaNerve/monero-oxide/tree/generalized-bulletproofs/audits/crypto/generalized-bulletproofs)
and
[`generalized-bulletproofs-ec-gadgets`](https://github.com/monero-oxide/monero-oxide/tree/fcmp%2B%2B/audits/fcmps).
Note we do not use the originally premised DDH eVRF yet the one premised on
elliptic curve divisors, the methodology of which is commented on
[here](https://github.com/monero-oxide/monero-oxide/tree/fcmp%2B%2B/audits/divisors).
Our implementation itself is unaudited at this time however.

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