From cc5d38f1ce03cbb78e0c595d0521ffd3b3c19c2f Mon Sep 17 00:00:00 2001 From: Luke Parker Date: Fri, 26 Sep 2025 11:20:48 -0400 Subject: [PATCH] `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 --- .../Cypher Stack March 2023}/Audit.pdf | Bin .../Cypher Stack March 2023}/LICENSE | 0 .../Cypher Stack March 2023}/README.md | 0 audits/crypto/dkg/evrf/README.md | 50 ++++++++++++++++++ audits/crypto/dkg/evrf/Security Proofs.pdf | Bin 0 -> 381001 bytes crypto/dkg/evrf/README.md | 18 ++----- 6 files changed, 53 insertions(+), 15 deletions(-) rename audits/{Cypher Stack crypto March 2023 => crypto/Cypher Stack March 2023}/Audit.pdf (100%) rename audits/{Cypher Stack crypto March 2023 => crypto/Cypher Stack March 2023}/LICENSE (100%) rename audits/{Cypher Stack crypto March 2023 => crypto/Cypher Stack March 2023}/README.md (100%) create mode 100644 audits/crypto/dkg/evrf/README.md create mode 100644 audits/crypto/dkg/evrf/Security Proofs.pdf diff --git a/audits/Cypher Stack crypto March 2023/Audit.pdf b/audits/crypto/Cypher Stack March 2023/Audit.pdf similarity index 100% rename from audits/Cypher Stack crypto March 2023/Audit.pdf rename to audits/crypto/Cypher Stack March 2023/Audit.pdf diff --git a/audits/Cypher Stack crypto March 2023/LICENSE b/audits/crypto/Cypher Stack March 2023/LICENSE similarity index 100% rename from audits/Cypher Stack crypto March 2023/LICENSE rename to audits/crypto/Cypher Stack March 2023/LICENSE diff --git a/audits/Cypher Stack crypto March 2023/README.md b/audits/crypto/Cypher Stack March 2023/README.md similarity index 100% rename from audits/Cypher Stack crypto March 2023/README.md rename to audits/crypto/Cypher Stack March 2023/README.md diff --git a/audits/crypto/dkg/evrf/README.md b/audits/crypto/dkg/evrf/README.md new file mode 100644 index 00000000..601be6b4 --- /dev/null +++ b/audits/crypto/dkg/evrf/README.md @@ -0,0 +1,50 @@ +# 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. diff --git a/audits/crypto/dkg/evrf/Security Proofs.pdf b/audits/crypto/dkg/evrf/Security Proofs.pdf new file mode 100644 index 0000000000000000000000000000000000000000..b89c994e91d1825752300596652d73adf514ac40 GIT binary patch literal 381001 zcma&ML(nih*rfZ|wr$(CZQHhO+j<|{wr$(CjrsnXb5=8p$s+0MT`G%IUwxA*h=|cL 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zQg!`!om}G$G>|{wrm2n_|13G4OYeyXKQe@qRQ|X-@HlIJR@?gtdubP@HbruLKE34l zx;ivTI)wInab?J-2>qjmA@%-0&H6MII>SZ&xZr4aRLibthQV$uAtm!Dne~qeT zyvEz+=U&{}wK_%1Vvg<_c?&X;mrcXoh2K_{{V*SmSB1pQ`ufHS$#Yr7#tO|d)@b`Y z?K7={r%mP_uxqP|fA~}TqRNjt>Eo#CTv>DWqzaV!%$wx~iTb;5pH8r{$Dub6QA#NH z?Sbv-v=>4)sLSUC{+KN*7$*(VA9qa3$j?!B0{M3M6W@PE;{SXFJG&S;xp;gzI>51V Qax<~B!;zDVDTu@U7nhqkZ2$lO literal 0 HcmV?d00001 diff --git a/crypto/dkg/evrf/README.md b/crypto/dkg/evrf/README.md index 139a8124..f8d1777e 100644 --- a/crypto/dkg/evrf/README.md +++ b/crypto/dkg/evrf/README.md @@ -26,21 +26,9 @@ presented in section 4.2 is extended, with the following changes: just one round. For a gist of the verifiable encryption scheme, please see -https://gist.github.com/kayabaNerve/cfbde74b0660dfdf8dd55326d6ec33d7. Security -proofs are currently being worked on. - ---- - -This library relies on an implementation of Bulletproofs and various -zero-knowledge gadgets. This library uses -[`generalized-bulletproofs`](https://docs.rs/generalized-bulletproofs), -[`generalized-bulletproofs-circuit-abstraction`](https://docs.rs/generalized-bulletproofs-circuit-abstraction), -and -[`generalized-bulletproofs-ec-gadgets`](https://docs.rs/generalized-bulletproofs-ec-gadgets) -from the Monero project's FCMP++ codebase. These libraries have received the -following audits in the past: -- https://github.com/kayabaNerve/monero-oxide/tree/fcmp++/audits/generalized-bulletproofs -- https://github.com/kayabaNerve/monero-oxide/tree/fcmp++/audits/fcmps +https://gist.github.com/kayabaNerve/cfbde74b0660dfdf8dd55326d6ec33d7. For +security proofs and audit information, please see +[here](../../../audits/crypto/dkg/evrf). ---

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