diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index f8da67c..13eb283 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -63,6 +63,50 @@ jobs: - run: mix credo --strict - run: mix hex.audit - run: mix test + # The box leg's ML-DSA-87 signature, for the cross-verify job to check with two other + # implementations (tools/mldsa_sample.exs; the key pair is a published ACVP test vector). + - name: an ML-DSA-87 signature for other implementations to verify + if: matrix.leg == 'box' + run: mix run tools/mldsa_sample.exs mldsa87-sample + # Recorded, not asserted: a shared runner's latency is the runner's, never a box's figure. + - name: ML-DSA-87 latency on this runner (recorded, no threshold) + if: matrix.leg == 'box' + run: mix run tools/bench_mldsa.exs 500 + - if: matrix.leg == 'box' + uses: actions/upload-artifact@043fb46d1a93c77aae656e7c1c64a875d1fc6a0a # v7.0.1 + with: + name: mldsa87-sample + path: mldsa87-sample/ + if-no-files-found: error + retention-days: 7 + + # BeamMCP.Signer.MLDSA87's output, verified by two ML-DSA implementations other than the + # OpenSSL that made it: Go's crypto/mldsa (which also derives the public key from the seed, + # as OTP cannot) and AWS-LC through aws-lc-rs. Each must accept the signature and refuse it + # over the message with one bit flipped (tools/cross_verify/). + cross-verify: + name: ML-DSA-87 cross-verify (Go crypto/mldsa, aws-lc-rs) + needs: test + runs-on: ubuntu-24.04 + timeout-minutes: 15 + steps: + - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7.0.1 + - uses: actions/download-artifact@9000827ccba6bdab643e8b6fd33ac0654aef8333 # v8.0.2 + with: + name: mldsa87-sample + path: mldsa87-sample + - uses: actions/setup-go@b7ad1dad31e06c5925ef5d2fc7ad053ef454303e # v7.0.0 + with: + go-version: "1.27.3" + cache: false + - name: Go crypto/mldsa + working-directory: tools/cross_verify/go + run: go run . "$GITHUB_WORKSPACE/mldsa87-sample" + - name: aws-lc-rs (the toolchain and every crate pinned) + working-directory: tools/cross_verify/rust + run: | + rustup toolchain install 1.92.0 --profile minimal + RUSTFLAGS="-D warnings" cargo +1.92.0 run --locked --release -- "$GITHUB_WORKSPACE/mldsa87-sample" reuse: diff --git a/.gitignore b/.gitignore index c1e58c4..f10a5a5 100644 --- a/.gitignore +++ b/.gitignore @@ -12,3 +12,6 @@ erl_crash.dump /config/*.secret.exs .elixir_ls/ *.tar + +# the cross-verify tool's build directory (tools/cross_verify/rust) +/tools/cross_verify/rust/target/ diff --git a/CHANGELOG.md b/CHANGELOG.md index 5a0a465..fd3e291 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -7,6 +7,37 @@ SPDX-License-Identifier: Apache-2.0 ## [Unreleased] +### Added: `BeamMCP.Signer.MLDSA87`, an ML-DSA-87 signer + +- A second module implementing core's `BeamMCP.Signer` behaviour, unchanged: ML-DSA-87 + (FIPS 204), pure, external interface, empty context, the form RFC 9964 requires for COSE. + `Ed25519` is untouched. +- **Two keys on every call:** the 32-byte seed under `:private_key` and its 2,592-byte public + key under `:public_key`, each as bytes or a zero-arity function. The public key is required + because `:crypto` cannot derive one from a seed. +- **Every signature is checked before it is returned:** it must verify under the given public + key (`{:error, {:public_key, :does_not_verify}}` otherwise, so a seed and public key that + are not a pair produce no signature) and must not verify over bytes one bit away + (`{:error, :self_check_failed}` otherwise). +- **Hedged signing:** two signatures of the same bytes differ. +- **Where it runs:** OTP 28.1 or later with `:crypto` linked to OpenSSL 3.5 or later. Elsewhere, + OTP 27 included, every call answers `{:error, :crypto_refused}`; the package's floor stays + OTP 27 for Ed25519. +- **Tests:** the ML-DSA-87 tests run on CI's box leg, which fails if `:crypto` lacks the + algorithm. The suite holds the runtime to NIST ACVP and Wycheproof ML-DSA-87 vectors, every + case `:crypto` can express, and counts the rest by reason (`tools/vectors_mldsa87.sh` writes + the fixtures at pinned commits). A new CI job verifies the box leg's signature with Go's + `crypto/mldsa` and aws-lc-rs (`tools/cross_verify/`); it is the seventh required check. +- **Docs:** the README, `SECURITY.md`, the assurance case, the architecture page, the security + review checklist and the roadmap describe both modules. + +### Changed: a test of Ed25519's "nothing kept" claim + +- `ed25519_test.exs` looked for an ETS table named like "signer" or "key" after a call; with + more test files compiling, ExUnit's per-module tables (named after the test modules) matched. + It now compares the tables before and after the call and refuses any new one owned by the + calling process, which is what a table made by the call would be. + ### Added: build provenance for each release - `.github/workflows/provenance.yml`: on a release tag, CI builds the tarball with diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md index 5dbd0cc..28b5854 100644 --- a/CONTRIBUTING.md +++ b/CONTRIBUTING.md @@ -22,7 +22,10 @@ mix test Erlang/OTP 27 or newer and Elixir 1.17 or newer, the same floor as `beam_mcp`. CI runs `mix format --check-formatted`, `mix compile --warnings-as-errors`, `mix credo --strict`, `mix hex.audit` and `mix test` on four OTP/Elixir legs, after checking the runtime is at or above -its line's patched OTP floor (`tools/otp_floor.sh`); run the same before you push. +its line's patched OTP floor (`tools/otp_floor.sh`); run the same before you push. The +ML-DSA-87 tests run only where `:crypto` offers the algorithm (OpenSSL 3.5 or later); CI's box +leg requires it (`MLDSA_REQUIRED=1`), and a job verifies that leg's signature with Go's +`crypto/mldsa` and aws-lc-rs (`tools/cross_verify/`). ## The rules, all enforced diff --git a/GOVERNANCE.md b/GOVERNANCE.md index 8563392..913c44e 100644 --- a/GOVERNANCE.md +++ b/GOVERNANCE.md @@ -28,13 +28,14 @@ date, so the bus factor is two, and his reviews are the public record of it. 1. A branch and a pull request; nothing is pushed to `main` directly. 2. CI on four OTP/Elixir legs (the floor, the pinned line, the newest, and the box: OTP - 28.5.0.8 with Elixir 1.20.4 on aarch64, over an OpenSSL that offers ML-DSA-87), the REUSE - lint and the DCO check. + 28.5.0.8 with Elixir 1.20.4 on aarch64, over an OpenSSL that offers ML-DSA-87), the box + leg's ML-DSA-87 signature verified by two other implementations (Go's `crypto/mldsa` and + aws-lc-rs), the REUSE lint and the DCO check. 3. The maintainer's review, then a rebase merge. From 2026-09-26 a repository ruleset on `main` holds steps 1 to 3 rather than leaving them to habit, as `beam_mcp`'s does: no deletion or force-push, changes by pull request only, a rebase -merge and linear history, and the six checks above required and up to date, with no bypass. +merge and linear history, and the seven checks above required and up to date, with no bypass. 4. A release is a signed tag and a hex.pm publish by the maintainer, recorded in the CHANGELOG; `docs/verifying-releases.md` says how to check one. diff --git a/LICENSES/NIST-Software.txt b/LICENSES/NIST-Software.txt new file mode 100644 index 0000000..0ae22d9 --- /dev/null +++ b/LICENSES/NIST-Software.txt @@ -0,0 +1,28 @@ +NIST-developed software is provided by NIST as a public service. +You may use, copy, and distribute copies of the software in any +medium, provided that you keep intact this entire notice. You may +improve, modify, and create derivative works of the software or any +portion of the software, and you may copy and distribute such +modifications or works. Modified works should carry a notice stating +that you changed the software and should note the date and nature of +any such change. Please explicitly acknowledge the National Institute +of Standards and Technology as the source of the software. + +NIST-developed software is expressly provided "AS IS." NIST MAKES NO +WARRANTY OF ANY KIND, EXPRESS, IMPLIED, IN FACT, OR ARISING BY OPERATION +OF LAW, INCLUDING, WITHOUT LIMITATION, THE IMPLIED WARRANTY OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE, NON-INFRINGEMENT, AND DATA ACCURACY. NIST +NEITHER REPRESENTS NOR WARRANTS THAT THE OPERATION OF THE SOFTWARE WILL BE +UNINTERRUPTED OR ERROR-FREE, OR THAT ANY DEFECTS WILL BE CORRECTED. NIST DOES +NOT WARRANT OR MAKE ANY REPRESENTATIONS REGARDING THE USE OF THE SOFTWARE OR +THE RESULTS THEREOF, INCLUDING BUT NOT LIMITED TO THE CORRECTNESS, ACCURACY, +RELIABILITY, OR USEFULNESS OF THE SOFTWARE. + +You are solely responsible for determining the appropriateness of using and +distributing the software and you assume all risks associated with its use, +including but not limited to the risks and costs of program errors, compliance +with applicable laws, damage to or loss of data, programs or equipment, and the +unavailability or interruption of operation. This software is not intended to be +used in any situation where a failure could cause risk of injury or damage to +property. The software developed by NIST employees is not subject to copyright +protection within the United States. diff --git a/README.md b/README.md index 1493ba9..670028f 100644 --- a/README.md +++ b/README.md @@ -7,13 +7,20 @@ SPDX-License-Identifier: Apache-2.0 [![OpenSSF Best Practices](https://www.bestpractices.dev/projects/14775/badge)](https://www.bestpractices.dev/projects/14775) -An Ed25519 signer for [`beam_mcp`](https://github.com/ScriptKittyOS/beam_mcp)'s canonical -connectome bytes, through OTP's `:crypto`. One module, `BeamMCP.Signer.Ed25519`, implementing -core's `BeamMCP.Signer` behaviour (`sign/2`). +Signers for [`beam_mcp`](https://github.com/ScriptKittyOS/beam_mcp)'s canonical connectome +bytes, through OTP's `:crypto`. Two modules, each implementing core's `BeamMCP.Signer` +behaviour (`sign/2`) and nothing else: -**What it signs.** Exactly the bytes `BeamMCP.Connectome.Canonical.encode/2` produces, as -`Canonical.signature/3` hands them over; the 64-byte signature comes back beside them. Nothing -else: no envelope byte moves, no verdict or receipt is added. +- **`BeamMCP.Signer.Ed25519`**: Ed25519 (RFC 8032), a 64-byte signature. +- **`BeamMCP.Signer.MLDSA87`**: ML-DSA-87 (FIPS 204), the post-quantum signature CNSA 2.0 + names, a 4,627-byte signature. It needs an OTP whose `:crypto` is linked to OpenSSL 3.5 or + later; see [ML-DSA-87](#ml-dsa-87) below. + +**What they sign.** Exactly the bytes `BeamMCP.Connectome.Canonical.encode/2` produces, as +`Canonical.signature/3` hands them over; the signature comes back beside them. Nothing else: +no envelope byte moves, no verdict or receipt is added. + +## Ed25519 **Who holds the key.** The host. It passes the 32-byte Ed25519 private key on every call, as a zero-arity function that returns it: @@ -39,14 +46,61 @@ entry), a key function that raises, throws or exits is answered `{:error, :crypto_refused}`. The key function's own exception is dropped with it, so a host that wants it logged logs it inside that function, without the key. -This package reads `opts[:private_key]` and nothing else -- no environment variable, no file, -no application config, no default. Where the key lives between calls is the host's decision. +## ML-DSA-87 + +`BeamMCP.Signer.MLDSA87` signs pure ML-DSA-87 through the external interface with an empty +context: the form RFC 9964 requires for COSE (algorithm -50). The host hands in two keys, +each as bytes or, better, as a zero-arity function returning them: + +```elixir +{:ok, %{signature: sig}} = + BeamMCP.Connectome.Canonical.signature(graph, BeamMCP.Signer.MLDSA87, + private_key: fn -> seed end, public_key: fn -> public_key end, scheme: :mldsa87) + +true = :crypto.verify(:mldsa87, :none, BeamMCP.Connectome.Canonical.encode!(graph), sig, public_key) +``` + +- **`:private_key` is the 32-byte seed**, RFC 9964's one private-key form. +- **`:public_key` is the 2,592-byte public key** that seed derives. It is required because + `:crypto` signs from a seed but cannot derive the public key from one. The host provisions + the pair outside the VM and hands in both. +- **Every signature is checked before it is returned.** It must verify under the public key + given, or the answer is `{:error, {:public_key, :does_not_verify}}` and no signature leaves + the module: that is how a seed and a public key that are not a pair are caught. The same + signature over bytes one bit away must not verify, or the answer is + `{:error, :self_check_failed}`. +- **Signing is hedged.** OpenSSL draws fresh randomness for each signature, and `:crypto` + cannot select the deterministic variant: two signatures of the same bytes differ, and both + verify. +- **Where it runs.** OTP 28.1 or later, with `:crypto` linked to OpenSSL 3.5 or later + (`:mldsa87 in :crypto.supports(:public_keys)`). OTP 27, or an OTP linked to an older + OpenSSL, answers every call `{:error, :crypto_refused}`. CI runs the ML-DSA tests on the + box leg (OTP 28.5.0.8 on Ubuntu 26.04's arm64 runner, OpenSSL 3.5.5) and fails that leg if + `:crypto` does not offer the algorithm. +- **FIPS mode** with a provider that approves ML-DSA needs `default_properties = fips=yes` in + OpenSSL's own configuration; OTP's `fips_mode` alone leaves the signature unavailable. No + provider in this package's CI approves ML-DSA, so FIPS mode is not tested here. +- **Vectors.** The suite holds the runtime to NIST's ACVP and C2SP's Wycheproof ML-DSA-87 + vectors, every case `:crypto` can express (it passes no context and has no HashML-DSA or + internal interface); the rest are counted by reason, so one that comes into reach fails the + count until it runs. +- **Other implementations.** On every CI run, the box leg's ML-DSA-87 signature is verified by + Go's `crypto/mldsa` and by AWS-LC (aws-lc-rs), neither of them OpenSSL; each must refuse it + over the message with one bit flipped, and Go also confirms the public key is the one the + seed derives (`tools/cross_verify/`). + +## Either module + +This package reads the key options and nothing else (`opts[:private_key]`, and for ML-DSA-87 +`opts[:public_key]`) -- no environment variable, no file, no application config, no default. +Where the keys live between calls is the host's decision. **Core is a separate package.** `beam_mcp` holds no key and calls no signing primitive; it is not a dependency of this package in the other direction, and it never will be. A host that wants signatures adds this package and attaches the module; one that does not, does not. -Apache-2.0. Erlang/OTP 27 or newer, Elixir 1.17 or newer -- the same floor as core. +Apache-2.0. Erlang/OTP 27 or newer, Elixir 1.17 or newer -- the same floor as core (ML-DSA-87 +as above). **The project.** Reference documentation is on [HexDocs](https://hexdocs.pm/beam_mcp_signer). What a host can rely on, and how to report a vulnerability: [`SECURITY.md`](SECURITY.md). Why diff --git a/SECURITY.md b/SECURITY.md index 3252981..8f7ee47 100644 --- a/SECURITY.md +++ b/SECURITY.md @@ -32,7 +32,8 @@ No paid bounty and no guaranteed fix deadline. The security requirements a host can rely on, each held by a test in `test/`: - **The key is read from one place.** `sign/2` reads the private key from - `opts[:private_key]` on each call and from nowhere else: no environment variable, file, + `opts[:private_key]` (and `BeamMCP.Signer.MLDSA87` also the public key, from + `opts[:public_key]`) on each call and from nowhere else: no environment variable, file, application config, default key or store. A two-layer census holds it (`test/beam_mcp/signer/no_key_source_test.exs`). - **The key does not leave in a result or an exception.** Every return value is a signature or @@ -45,23 +46,30 @@ The security requirements a host can rely on, each held by a test in `test/`: or core: not an exception raised earlier in core's `Canonical.signature/3` on a mistyped call, not a log line that inspects the options. Passed as bytes, the key is as safe as every piece of code that handles the options; tests pin both halves - (`test/beam_mcp/signer/ed25519_test.exs`). + (`test/beam_mcp/signer/ed25519_test.exs`, `test/beam_mcp/signer/mldsa87_refusals_test.exs`). - **The signature is standard Ed25519** (RFC 8032, FIPS 186-5) over exactly the canonical bytes `beam_mcp` produced, computed by Erlang/OTP's `:crypto` (OpenSSL), and verifiable by any Ed25519 implementation. -- **No randomness is needed or used.** Ed25519 signing is deterministic; the package generates - no key and no nonce. +- **The ML-DSA-87 signature is standard ML-DSA-87** (FIPS 204, pure, empty context, as RFC + 9964 requires for COSE) over exactly the canonical bytes, computed by `:crypto` (OpenSSL 3.5 + or later), and **it verifies under the public key the host handed in**: every signature is + verified under that key, and must not verify over bytes one bit away, before it is returned; + otherwise the answer is a named error and no signature + (`test/beam_mcp/signer/mldsa87_test.exs`). +- **Randomness.** Ed25519 signing is deterministic and uses none. ML-DSA-87 signing is hedged: + OpenSSL's DRBG supplies per-signature randomness, and FIPS 204's construction keeps the + signature secure if that randomness fails. The package generates no key and no nonce. What it does **not** do: store, load, rotate or protect the key between calls (the host's -decision, `docs/assurance-case.md` says why), verify signatures, or decide what a signature -authorizes. +decision, `docs/assurance-case.md` says why), verify others' signatures (the ML-DSA-87 module +checks only its own, before returning it), or decide what a signature authorizes. ## Severity, in this package's terms | level | what it means here | |---|---| | **Critical** | On a call with the documented types: the key is read from anywhere but the call's options, or reaches a log, an error, a crash report or a return value; or a signature is produced over bytes other than those given. | -| **High** | A signature that standard Ed25519 verification rejects, or accepts over different bytes. | +| **High** | A signature that standard Ed25519 or ML-DSA-87 verification rejects, or accepts over different bytes; an ML-DSA-87 signature returned that does not verify under the public key given. | | **Medium** | A documented behaviour the package does not match, with a security consequence a host can work around. | | **Low** | Wrong error terms or documentation that could mislead. | diff --git a/docs/architecture.md b/docs/architecture.md index c8342d4..6710f41 100644 --- a/docs/architecture.md +++ b/docs/architecture.md @@ -5,7 +5,8 @@ SPDX-License-Identifier: Apache-2.0 # Architecture -One module, one function, one dependency direction. +Two modules, one function each, one dependency direction. Ed25519 is drawn below; ML-DSA-87 +takes the same path with two keys and a check before it returns. ```text host application @@ -36,17 +37,29 @@ One module, one function, one dependency direction. entry), a key function that raises, throws or exits is answered `{:error, {:private_key, :unreadable}}`, and a refusal from `:crypto` is answered `{:error, :crypto_refused}`. +- **`BeamMCP.Signer.MLDSA87`** (`lib/beam_mcp/signer/mldsa87.ex`): the same behaviour and the + same rules for a key, with two: the 32-byte seed under `opts[:private_key]` and the + 2,592-byte public key under `opts[:public_key]`, each bytes or a zero-arity function called + once. It signs with `:crypto.sign(:mldsa87, :none, canonical_bytes, {:seed, seed})`, then + verifies the signature under the public key (`{:error, {:public_key, :does_not_verify}}` + when the two keys are not a pair) and over bytes one bit away (`{:error, + :self_check_failed}` when that verifies too) before returning it. The public key is the + host's because `:crypto` derives none from a seed. On a runtime without ML-DSA-87 (OTP 27, + or OpenSSL before 3.5) every call is `{:error, :crypto_refused}`. - **`beam_mcp`** (a dependency, `~> 0.7`): defines the behaviour and produces the bytes. It holds no key, calls no signing primitive and does not depend on this package. -- **Erlang/OTP `:crypto`**: performs Ed25519. This package implements no cryptography itself. +- **Erlang/OTP `:crypto`**: performs Ed25519 and ML-DSA-87, through OpenSSL. This package + implements no cryptography itself. ## Properties the arrangement keeps - **The key lives with the host.** Nothing is stored between calls: no process, table, persistent term, application environment or file. A test checks that no state remains after a call. -- **One way in.** The key has one source, the call's options; a census over both the source - and the compiled module holds that (`test/beam_mcp/signer/no_key_source_test.exs`). +- **One way in.** The keys have one source, the call's options; a census over both the source + and the compiled modules holds that, and that every `:crypto` call names its algorithm and + `:none` as literals and takes no options argument + (`test/beam_mcp/signer/no_key_source_test.exs`). - **Core stays keyless.** Authority (a key, a signature) is kept out of `beam_mcp` by putting it here, in a package a host chooses to add. diff --git a/docs/assurance-case.md b/docs/assurance-case.md index e00b9ec..5ce5c74 100644 --- a/docs/assurance-case.md +++ b/docs/assurance-case.md @@ -14,6 +14,12 @@ where they stop. Ed25519 signature over exactly the bytes given, reads the key from nowhere else, keeps no copy of it, and returns nothing that contains it.** +**Given a 32-byte ML-DSA-87 seed and its 2,592-byte public key in the call's options (each, or +a zero-arity function returning it), `BeamMCP.Signer.MLDSA87.sign/2` returns a standard +ML-DSA-87 signature (FIPS 204, pure, empty context) over exactly the bytes given that verifies +under that public key, or no signature at all; it reads the keys from nowhere else, keeps no +copy of them, and returns nothing that contains them.** + ## Threat model The asset is the host's private key; the goal is that this package adds no way for it to be @@ -21,12 +27,13 @@ read, kept or misused beyond the host's own call. | threat | in scope | how it is met | |---|---|---| -| The key read from a place the host did not choose (environment, file, config) | yes | one source, `opts[:private_key]`; census over source text and compiled calls | +| The key read from a place the host did not choose (environment, file, config) | yes | one source, the call's options (`:private_key`, and `:public_key` for ML-DSA-87); census over source text and compiled calls | | The key retained after the call (process state, ETS, persistent term, app env) | yes | no state; a test compares all four before and after a call | | The key returned or placed in an error term | yes | returns are a signature or a fixed atom tuple; tests pin every error term | | The key printed in an exception or a log line | yes | nothing `sign/2` meets is raised: a mistyped call is answered `{:error, :bad_arguments}` (so is an improper list whose end comes before a `:private_key` entry), a failing key function `{:error, {:private_key, :unreadable}}`, a refusal from `:crypto` `{:error, :crypto_refused}`; the key passed by reference prints as `#Function<...>` wherever the options are printed, core's frames included (tested through core) | -| A signature over bytes other than those given, or a non-standard signature | yes | the bytes go to `:crypto.sign/4` unaltered; tests verify with `:crypto.verify/5` and with core's `encode!/2` bytes | -| Weak randomness | yes | none used: Ed25519 is deterministic (RFC 8032), no nonce or key is generated here | +| A signature over bytes other than those given, or a non-standard signature | yes | the bytes go to `:crypto.sign/4` unaltered, with the algorithm and `:none` as literals and no options argument (census); tests verify with `:crypto.verify/5` and with core's `encode!/2` bytes | +| ML-DSA-87: a signature that does not verify under the key the host publishes (a seed and public key that are not a pair, a faulted signature) | yes | every signature is verified under the given public key, and must not verify over bytes one bit away, before it is returned; otherwise a named error and no signature | +| Weak randomness | yes | Ed25519 uses none (deterministic, RFC 8032). ML-DSA-87 is hedged: OpenSSL's DRBG supplies the per-signature `rnd`; were it constant, signing would be FIPS 204's deterministic variant, which is also approved. No key is generated here | | The host's key storage, the node the host runs, OpenSSL defects | no | the host's and upstream's; stated in `SECURITY.md` | | Code already running in the same BEAM node | no | the BEAM has no in-node isolation; any process there can read the host's memory | @@ -36,21 +43,23 @@ read, kept or misused beyond the host's own call. package trusts nothing else: it reads no ambient configuration. 2. **This package to `beam_mcp`.** Core supplies the bytes; this package signs exactly them and does not interpret them. -3. **This package to OpenSSL** (through OTP `:crypto`). Trusted to implement Ed25519 - correctly; that trust is FIPS 186-5 and RFC 8032's, not this project's. +3. **This package to OpenSSL** (through OTP `:crypto`). Trusted to implement Ed25519 and + ML-DSA-87 correctly; that trust is FIPS 186-5, RFC 8032 and FIPS 204's, not this + project's. For ML-DSA-87 the suite holds the runtime to NIST ACVP and Wycheproof vectors, + every case `:crypto` can express, on the CI leg that runs it. ## Secure design principles applied | principle | here | |---|---| -| Economy of mechanism | one module, one public function, one remote call (`:crypto.sign/4`), pinned by census | +| Economy of mechanism | two modules, one public function each; remote calls `:crypto.sign/4`, and `:crypto.verify/5` for ML-DSA-87's check, pinned by census | | Fail-safe defaults | no default key; a missing or malformed key is an error, never a signature | | Complete mediation | the key is checked on every call; nothing is cached | -| Open design | standard Ed25519, verifiable by any implementation; the source is Apache-2.0 | +| Open design | standard Ed25519 and ML-DSA-87, verifiable by any implementation; the source is Apache-2.0 | | Separation of privilege | the key-holding code is a separate package from the keyless core; the host opts in | | Least privilege | no file, network, environment, OS or application-config access, held by census | | Least common mechanism | no shared state between calls or callers | -| Psychological acceptability | three named error terms a host can match and act on | +| Psychological acceptability | named error terms a host can match and act on (each module's `sign/2` doc lists its own) | ## Common implementation weaknesses countered @@ -58,9 +67,9 @@ read, kept or misused beyond the host's own call. |---|---| | CWE-798 / CWE-321 hard-coded or default key | no default key; census over the source; the history is secret-scanned | | CWE-522 / CWE-256 insufficiently protected credentials | nothing stored; the key's lifetime is the host's call | -| CWE-338 / CWE-330 weak randomness | no randomness is used | -| CWE-327 / CWE-326 broken algorithm, short key | Ed25519 only, 32-byte seeds only (about 128-bit security, NIST-approved in FIPS 186-5) | -| CWE-347 improper signature verification | not applicable to signing; tests verify every signature with an independent call | +| CWE-338 / CWE-330 weak randomness | Ed25519 uses none; ML-DSA-87's hedging randomness is OpenSSL's DRBG, and its failure degrades to the deterministic variant, not to a key leak | +| CWE-327 / CWE-326 broken algorithm, short key | Ed25519 with 32-byte seeds (about 128-bit security, NIST-approved in FIPS 186-5); ML-DSA-87 with 32-byte seeds (NIST security category 5, FIPS 204, the CNSA 2.0 signature) | +| CWE-347 improper signature verification | not applicable to signing; tests verify every signature with an independent call, and ML-DSA-87 verifies its own before returning it | | CWE-209 / CWE-532 key in errors or logs | no result echoes input; no clause can raise on its arguments; the reference form keeps the bytes out of every printed term (see "Closed" below) | ## Closed: the key in an exception report (found 2026-09-23) @@ -86,5 +95,7 @@ core answers such a call instead of raising. ## How the case is kept true -CI runs the suite, the census and Credo on every push on four OTP/Elixir legs; a change to how -the key is read or returned changes this page in the same pull request (`GOVERNANCE.md`). +CI runs the suite, the census and Credo on every push on four OTP/Elixir legs; the ML-DSA-87 +tests run on the box leg, which fails if its `:crypto` does not offer the algorithm (the other +legs check the `:crypto_refused` answer instead). A change to how a key is read or returned +changes this page in the same pull request (`GOVERNANCE.md`). diff --git a/docs/roadmap.md b/docs/roadmap.md index 8261e8a..7ae916f 100644 --- a/docs/roadmap.md +++ b/docs/roadmap.md @@ -14,7 +14,8 @@ are not promised; the order is. reaches no exception report; a mistyped call is answered, not raised. 2. **Follow `beam_mcp` to `1.0.0`.** The requirement is `~> 0.7` today; when core ships `1.0.0`, this package releases with a `~> 1.0` requirement, and then takes its own `1.0.0` - once its surface (one function, six results) has stood a release unchanged. + once its surface (one function per module, each with its named results) has stood a + release unchanged. 3. **Release tooling as core has it**: the canonical tarball script (in the tree) used for every publish, and a build-provenance attestation on each release tag. 4. **Keep current**: security fixes on `SECURITY.md`'s commitments, dependency updates through @@ -24,13 +25,16 @@ are not promised; the order is. - **Store, load, generate or rotate keys.** The host holds the key; this package reads it from the call's options and nowhere else. That is the package's reason to exist. -- **Implement cryptography.** Ed25519 is OTP's `:crypto`, backed by OpenSSL. +- **Implement cryptography.** Ed25519 and ML-DSA-87 are OTP's `:crypto`, backed by OpenSSL. - **Verify signatures or decide what they authorize.** Verification is one standard call any - consumer can make; authority is the consumer's. + consumer can make; authority is the consumer's. (The ML-DSA-87 signer verifies its own + signature before returning it: a check on its output, not a verifier offered to others.) - **Make `beam_mcp` depend on it.** The dependency runs one way. -A second algorithm is not planned; if one is ever needed it would be a separate module -implementing the same behaviour, decided in the open. +A second algorithm was added as this page said it would be: ML-DSA-87, as a separate module +implementing the same behaviour (`BeamMCP.Signer.MLDSA87`), for CNSA 2.0, which names it as +the signature for national security systems acquired from 2027. A third is not planned; if one +is ever needed it follows the same rule, decided in the open. ## How it changes diff --git a/docs/security-review.md b/docs/security-review.md index b6fc5fa..62323e4 100644 --- a/docs/security-review.md +++ b/docs/security-review.md @@ -21,17 +21,22 @@ boundaries in `docs/assurance-case.md`. Each item is answered with what was read, what was tried, and what was found. -1. **One source for the key.** Read `lib/beam_mcp/signer/ed25519.ex` in full. Is the key read - from `opts[:private_key]` only? Does the census's regex and call list still describe the +1. **One source for the key.** Read `lib/beam_mcp/signer/ed25519.ex` and + `lib/beam_mcp/signer/mldsa87.ex` in full. Is each key read from its option only + (`:private_key`, and `:public_key` for ML-DSA-87)? Does the census's regex and call list still describe the compiled module (`test/beam_mcp/signer/no_key_source_test.exs`)? 2. **Nothing kept.** No process state, table, persistent term, application environment or file after a call; a reference (`fn -> key end`) called once and dropped. 3. **Nothing printed.** Every result is a signature or a fixed error term; no clause can raise on its arguments. Try a map for the options, a non-binary for the bytes, a wrong-length key and a reference returning the wrong thing, and read what comes back and what a log would show. -4. **The signature.** Ed25519 over exactly the bytes given, verified independently with - `:crypto.verify/5` and through `beam_mcp`'s canonical bytes; no prehash, no other algorithm. -5. **Randomness.** None is used; confirm that no key or nonce is generated in `lib/`. +4. **The signature.** Ed25519 and ML-DSA-87 over exactly the bytes given, verified + independently with `:crypto.verify/5` and through `beam_mcp`'s canonical bytes; the digest + type `:none` and no options argument, so no prehash and no context. For ML-DSA-87: does the + check before return refuse a seed with the wrong public key, and does the suite's vector + count still match the fixtures? +5. **Randomness.** Ed25519 uses none; ML-DSA-87's comes from OpenSSL's DRBG. Confirm that no + key or nonce is generated in `lib/`. 6. **Supply chain and release.** `mix.lock` against `mix hex.audit`; the `beam_mcp` requirement; workflow permissions and pinned actions; a release tarball rebuilt with `tools/release_tarball.sh` and compared with hex.pm's checksum; the tag's signature diff --git a/lib/beam_mcp/signer/mldsa87.ex b/lib/beam_mcp/signer/mldsa87.ex new file mode 100644 index 0000000..571ae43 --- /dev/null +++ b/lib/beam_mcp/signer/mldsa87.ex @@ -0,0 +1,158 @@ +# SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC +# SPDX-License-Identifier: Apache-2.0 + +defmodule BeamMCP.Signer.MLDSA87 do + @moduledoc """ + ML-DSA-87 (FIPS 204) over the canonical bytes, through OTP's `:crypto`: pure ML-DSA, the + external interface, an empty context (the form RFC 9964 requires for COSE, algorithm -50). + The same seam as `BeamMCP.Signer.Ed25519`, the same rules for the key, and one more option. + + The host hands in two keys on every call, in the options it passes to + `BeamMCP.Connectome.Canonical.signature/3`, best as references: + + Canonical.signature(graph, BeamMCP.Signer.MLDSA87, + private_key: fn -> seed end, public_key: fn -> public_key end, scheme: :mldsa87) + + `:private_key` is the 32-byte seed, RFC 9964's one private-key form. `:public_key` is the + 2,592-byte public key that seed derives. Both are required: `:crypto` signs from a seed but + cannot derive the public key from one, so the host provisions the pair outside the VM and + hands in both. Each is either the bytes or a zero-arity function returning them. **Pass + functions**, for the reason `BeamMCP.Signer.Ed25519` gives: anything that prints the options + prints the bytes of a key passed as bytes. Each function is called once per signature, and + nothing is kept. + + This module reads those two options and nothing else: no environment variable, no file, no + application config, no default key. + + **Every signature is checked before it is returned.** It must verify under the public key the + host handed in, over exactly the bytes given, or the answer is + `{:error, {:public_key, :does_not_verify}}` and no signature leaves this module: that is how a + seed and a public key that are not a pair are caught, which `:crypto` cannot tell otherwise. + And the same signature over the bytes with one bit flipped must not verify, or the answer is + `{:error, :self_check_failed}`: a verifier that accepts anything would make the first check + worthless. Two verifies per signature, the cost of returning only signatures that verify. + + **Hedged signing.** OpenSSL draws fresh randomness for every signature from its DRBG, and + `:crypto` cannot select FIPS 204's deterministic variant: two signatures of the same bytes + with the same key differ, and both verify. A byte-exact signature cannot be a test vector. + + The signature is 4,627 bytes. A verifier checks it with + `:crypto.verify(:mldsa87, :none, canonical_bytes, signature, public_key)`, or with any + FIPS 204 implementation, pure ML-DSA-87 with an empty context. + + **Where it runs.** ML-DSA-87 needs an OTP whose `:crypto` is linked to OpenSSL 3.5 or later + (OTP 28.1 and later; OTP 27 has none). Elsewhere every call is answered + `{:error, :crypto_refused}`, as it is in FIPS mode under a provider that does not approve + ML-DSA. In FIPS mode under one that does, OpenSSL's configuration must itself set + `default_properties = fips=yes`; OTP's `fips_mode` alone leaves the signature unavailable. + """ + + @behaviour BeamMCP.Signer + + @private_key_bytes 32 + @public_key_bytes 2592 + + @typedoc "The 32-byte ML-DSA-87 seed, or a zero-arity function returning it." + @type private_key :: <<_::256>> | (-> <<_::256>>) + + @typedoc "The 2,592-byte ML-DSA-87 public key, or a zero-arity function returning it." + @type public_key :: <<_::20_736>> | (-> <<_::20_736>>) + + @doc """ + Signs `canonical_bytes` with the seed at `opts[:private_key]`, checked against the public + key at `opts[:public_key]`. + + Returns `{:ok, signature}` (4,627 bytes) or `{:error, reason}`: + + * `:no_private_key`, `:no_public_key` -- the option is absent (the private key is + looked for first); + * `{:private_key, :not_32_bytes}`, `{:public_key, :not_2592_bytes}` -- present, and not + that size, or a function returning something else; + * `{:private_key, :unreadable}`, `{:public_key, :unreadable}` -- a function that raises, + throws or exits; + * `:bad_arguments` -- `canonical_bytes` is not a binary, or `opts` is not a list, or is an + improper list whose end is reached before both keys; + * `:crypto_refused` -- `:crypto` will not sign or verify ML-DSA-87 here; + * `{:public_key, :does_not_verify}` -- the signature does not verify under the public key: + the two keys are not a pair; + * `:self_check_failed` -- the signature also verifies over different bytes. + + Answers, not raises, for `BeamMCP.Signer.Ed25519`'s reason: an exception is printed with the + values it was raised over, and the options hold the keys. No answer carries a byte of either + key. Every other option is the host's and is not read. + """ + @impl BeamMCP.Signer + @spec sign(binary(), keyword()) :: + {:ok, binary()} + | {:error, + :no_private_key + | :no_public_key + | {:private_key, :not_32_bytes | :unreadable} + | {:public_key, :not_2592_bytes | :unreadable | :does_not_verify} + | :bad_arguments + | :crypto_refused + | :self_check_failed} + def sign(canonical_bytes, opts) when is_binary(canonical_bytes) and is_list(opts) do + with {:ok, seed} <- fetch_key(opts, :private_key), + {:ok, public} <- fetch_key(opts, :public_key), + {:ok, seed} <- read(seed, :private_key, @private_key_bytes, :not_32_bytes), + {:ok, public} <- read(public, :public_key, @public_key_bytes, :not_2592_bytes) do + sign_checked(canonical_bytes, seed, public) + end + end + + def sign(_canonical_bytes, _opts), do: {:error, :bad_arguments} + + # The first `{name, key}` entry, walked here for the reason `BeamMCP.Signer.Ed25519` walks + # its own: `Keyword.fetch/2` raises, key in view, on an improper list. + defp fetch_key([{name, key} | _], name), do: {:ok, key} + defp fetch_key([_ | rest], name), do: fetch_key(rest, name) + defp fetch_key([], :private_key), do: {:error, :no_private_key} + defp fetch_key([], :public_key), do: {:error, :no_public_key} + defp fetch_key(_improper_tail, _name), do: {:error, :bad_arguments} + + # A reference is called here and nowhere else, once per signature; what it raises, throws or + # exits is the host's code reading the key, and its report can print the key: answered as + # unreadable, the reason dropped unread. + defp read(key, name, size, wrong_size) do + case resolve(key) do + {:ok, bytes} when is_binary(bytes) and byte_size(bytes) == size -> {:ok, bytes} + {:ok, _other} -> {:error, {name, wrong_size}} + :unreadable -> {:error, {name, :unreadable}} + end + end + + defp resolve(key) when is_function(key, 0) do + {:ok, key.()} + catch + _kind, _reason -> :unreadable + end + + defp resolve(key), do: {:ok, key} + + # Sign, then verify: under the host's public key over these bytes (a pair), and not over + # bytes one bit away (a verifier that means it). `:crypto` raises where OpenSSL will not sign + # or verify ML-DSA-87 (an OpenSSL before 3.5, OTP 27, a FIPS provider without it), with the + # call's arguments, the seed among them, in the report: answered, the reason dropped unread. + defp sign_checked(canonical_bytes, seed, public) do + signature = :crypto.sign(:mldsa87, :none, canonical_bytes, {:seed, seed}) + + cond do + not :crypto.verify(:mldsa87, :none, canonical_bytes, signature, public) -> + {:error, {:public_key, :does_not_verify}} + + :crypto.verify(:mldsa87, :none, one_bit_away(canonical_bytes), signature, public) -> + {:error, :self_check_failed} + + true -> + {:ok, signature} + end + catch + _kind, _reason -> {:error, :crypto_refused} + end + + # The lowest bit of the first byte flipped; the empty message has no bit, so its neighbour is + # one zero byte. + defp one_bit_away(<>), do: <> + defp one_bit_away(<<>>), do: <<0>> +end diff --git a/mix.exs b/mix.exs index 7a6f4ba..936ffc3 100644 --- a/mix.exs +++ b/mix.exs @@ -9,7 +9,9 @@ defmodule BeamMCP.Signer.Ed25519.MixProject do # The same floor as beam_mcp: the behaviour this package implements lives there, and one # OTP line for both is one fewer thing for a host to reason about. Ed25519 in `:crypto` is - # far older than 27; the floor is core's, not this package's. + # far older than 27; the floor is core's, not this package's. ML-DSA-87 needs more (OTP 28.1 + # or later, linked to OpenSSL 3.5 or later) and answers `:crypto_refused` below it, so the + # floor is not raised for it: a host on OTP 27 keeps Ed25519. @otp_floor 27 def project do @@ -22,7 +24,7 @@ defmodule BeamMCP.Signer.Ed25519.MixProject do deps: deps(), package: package(), description: - "Ed25519 signer for beam_mcp's canonical connectome bytes, through OTP's :crypto; the host hands the key in", + "Ed25519 and ML-DSA-87 signers for beam_mcp's canonical connectome bytes, through OTP's :crypto; the host hands the keys in", source_url: @source_url, docs: [ main: "readme", @@ -50,7 +52,7 @@ defmodule BeamMCP.Signer.Ed25519.MixProject do # this package touches nothing but that behaviour and `Canonical.signature/3`'s bytes. # So two numbers here, on purpose: the requirement spans core's 0.7, 0.8 and any 0.9, # stops at 1.0.0, and a host is not held on the previous core minor by this package - # (0.1.0's `~> 0.7.0` did exactly that at core's 0.8.0). Nothing else: Ed25519 is OTP's. + # (0.1.0's `~> 0.7.0` did exactly that at core's 0.8.0). Nothing else: both algorithms are OTP's. {:beam_mcp, "~> 0.7"}, {:ex_doc, "~> 0.34", only: :dev, runtime: false}, {:credo, "~> 1.7", only: [:dev, :test], runtime: false} diff --git a/test/beam_mcp/signer/ed25519_test.exs b/test/beam_mcp/signer/ed25519_test.exs index 368c4ed..32456a2 100644 --- a/test/beam_mcp/signer/ed25519_test.exs +++ b/test/beam_mcp/signer/ed25519_test.exs @@ -229,11 +229,15 @@ defmodule BeamMCP.Signer.Ed25519Test do test "the key is not held: no process, ets, persistent_term or application state after a call" do {_pub, priv} = keypair() before = {Process.get(), :persistent_term.get(), Application.get_all_env(:beam_mcp_signer)} + tables = :ets.all() {:ok, _} = Ed25519.sign("abc", private_key: priv) assert {Process.get(), :persistent_term.get(), Application.get_all_env(:beam_mcp_signer)} == before - refute Enum.any?(:ets.all(), fn t -> :ets.info(t, :name) |> to_string() =~ ~r/signer|key/i end) + # A table the call made would be owned by this process (the module starts none). Matching + # on names instead caught ExUnit's own per-module tables, named after the test modules, + # whenever another test file was still compiling. + refute Enum.any?(:ets.all() -- tables, &(:ets.info(&1, :owner) == self())) end end diff --git a/test/beam_mcp/signer/mldsa87_refusals_test.exs b/test/beam_mcp/signer/mldsa87_refusals_test.exs new file mode 100644 index 0000000..1c48b03 --- /dev/null +++ b/test/beam_mcp/signer/mldsa87_refusals_test.exs @@ -0,0 +1,86 @@ +# SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC +# SPDX-License-Identifier: Apache-2.0 + +defmodule BeamMCP.Signer.MLDSA87RefusalsTest do + # Every refusal that is decided before `:crypto` is reached, so these run on every leg, with + # ML-DSA or without; and, on a runtime without it, the refusal `:crypto` itself causes. + use ExUnit.Case, async: true + + alias BeamMCP.Signer.MLDSA87 + + @seed :binary.copy(<<0xA5>>, 32) + @pub :binary.copy(<<0x5A>>, 2592) + + test "no key, no signature: either option absent" do + assert MLDSA87.sign("abc", []) == {:error, :no_private_key} + assert MLDSA87.sign("abc", public_key: @pub) == {:error, :no_private_key} + assert MLDSA87.sign("abc", private_key: @seed) == {:error, :no_public_key} + assert MLDSA87.sign("abc", key: @seed, public_key: @pub) == {:error, :no_private_key} + end + + test "a key of the wrong size is refused by name, the private key checked first" do + assert MLDSA87.sign("abc", private_key: <<0::248>>, public_key: @pub) == + {:error, {:private_key, :not_32_bytes}} + + assert MLDSA87.sign("abc", private_key: nil, public_key: @pub) == + {:error, {:private_key, :not_32_bytes}} + + assert MLDSA87.sign("abc", private_key: :binary.copy(<<0>>, 4896), public_key: @pub) == + {:error, {:private_key, :not_32_bytes}} + + assert MLDSA87.sign("abc", private_key: @seed, public_key: <<0::8>>) == + {:error, {:public_key, :not_2592_bytes}} + + assert MLDSA87.sign("abc", private_key: @seed, public_key: ~c"not a binary") == + {:error, {:public_key, :not_2592_bytes}} + + assert MLDSA87.sign("abc", private_key: <<0>>, public_key: <<0>>) == + {:error, {:private_key, :not_32_bytes}} + end + + # The host's own code reading its key may print the key in what it raises: answered, and the + # reason dropped unread. + test "a key function that raises, throws or exits is answered as unreadable" do + for bad <- [ + fn -> raise "seed file: #{inspect(@seed)}" end, + fn -> throw(@seed) end, + fn -> exit(@seed) end + ] do + assert MLDSA87.sign("abc", private_key: bad, public_key: @pub) == + {:error, {:private_key, :unreadable}} + + assert MLDSA87.sign("abc", private_key: @seed, public_key: bad) == + {:error, {:public_key, :unreadable}} + end + end + + test "a mistyped call is answered, never raised: an exception would print the options, keys and all" do + assert MLDSA87.sign(:not_bytes, private_key: @seed, public_key: @pub) == + {:error, :bad_arguments} + + assert MLDSA87.sign("abc", %{private_key: @seed}) == {:error, :bad_arguments} + assert MLDSA87.sign("abc", [{:other, 1} | :improper]) == {:error, :bad_arguments} + assert MLDSA87.sign("abc", [{:private_key, @seed} | :improper]) == {:error, :bad_arguments} + end + + test "no answer carries a byte of either key" do + answers = + for opts <- [ + [private_key: <<1, 2, 3>>, public_key: @pub], + [private_key: @seed, public_key: <<1, 2, 3>>], + [private_key: fn -> raise inspect(@seed) end, public_key: @pub], + [private_key: @seed, public_key: @pub] + ], + do: MLDSA87.sign("abc", opts) + + for answer <- answers, key <- [@seed, @pub, <<1, 2, 3>>] do + refute :binary.match(:erlang.term_to_binary(answer), key) != :nomatch + end + end + + @tag :no_mldsa87 + test "on a runtime whose :crypto offers no ML-DSA-87, the answer is :crypto_refused" do + refute :mldsa87 in :crypto.supports(:public_keys) + assert MLDSA87.sign("abc", private_key: @seed, public_key: @pub) == {:error, :crypto_refused} + end +end diff --git a/test/beam_mcp/signer/mldsa87_test.exs b/test/beam_mcp/signer/mldsa87_test.exs new file mode 100644 index 0000000..b7c70ef --- /dev/null +++ b/test/beam_mcp/signer/mldsa87_test.exs @@ -0,0 +1,106 @@ +# SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC +# SPDX-License-Identifier: Apache-2.0 + +defmodule BeamMCP.Signer.MLDSA87Test do + # The key pair is ACVP's ML-DSA-87 keyGen case (tgId 3, tcId 51): a published seed and the + # public key it derives. `:crypto` derives no public key from a seed, so a pair cannot be + # made here; a wrong public key is any other, from `:crypto.generate_key/2`. + use ExUnit.Case, async: true + + alias BeamMCP.Connectome.{Canonical, Edge, Graph, Node} + alias BeamMCP.Signer.MLDSA87 + + @moduletag :mldsa87 + + @pair "test/fixtures/mldsa87/acvp_keygen.json" + |> File.read!() + |> Jason.decode!() + |> Map.fetch!("test") + @seed Base.decode16!(@pair["seed"]) + @pub Base.decode16!(@pair["pk"]) + + defp opts, do: [private_key: @seed, public_key: @pub] + defp verify(bytes, sig), do: :crypto.verify(:mldsa87, :none, bytes, sig, @pub) + + defp graph do + srv = Node.new!(kind: :server, level: :server, identity: {:server, "srv"}) + a = Node.new!(kind: :tool, level: :server, identity: {:tool, "srv", "a"}) + b = Node.new!(kind: :tool, level: :server, identity: {:tool, "srv", "b"}) + e = Edge.new!(from: a.id, to: b.id, kind: :invoke, provenance: :declared, weight: 1) + Graph.new!(nodes: [srv, a, b], edges: [e], schema_version: Graph.schema_version()) + end + + test "implements BeamMCP.Signer, and only sign/2" do + assert BeamMCP.Signer in (MLDSA87.module_info(:attributes)[:behaviour] || []) + assert MLDSA87.__info__(:functions) == [sign: 2] + end + + test "signs exactly the bytes given, and a verifier with the public key agrees" do + bytes = :crypto.strong_rand_bytes(347) + + assert {:ok, sig} = MLDSA87.sign(bytes, opts()) + assert byte_size(sig) == 4627 + assert verify(bytes, sig) + refute verify(bytes <> <<0>>, sig) + + refute :crypto.verify( + :mldsa87, + :none, + bytes, + sig, + elem(:crypto.generate_key(:mldsa87, []), 0) + ) + end + + test "signs the empty message too, and its self-check still has a different message to refuse" do + assert {:ok, sig} = MLDSA87.sign("", opts()) + assert verify("", sig) + end + + test "hedged: two signatures of the same bytes differ, and both verify" do + assert {:ok, one} = MLDSA87.sign("abc", opts()) + assert {:ok, two} = MLDSA87.sign("abc", opts()) + assert one != two + assert verify("abc", one) and verify("abc", two) + end + + test "through core's seam: the signature is over encode/2's bytes and sits beside them" do + g = graph() + + assert {:ok, %{algorithm: :sha384, signature: sig, signer: MLDSA87, scheme: :mldsa87}} = + Canonical.signature(g, MLDSA87, opts() ++ [algorithm: :sha384, scheme: :mldsa87]) + + assert verify(Canonical.encode!(g, algorithm: :sha384), sig) + end + + test "a seed and a public key that are not a pair: refused, and no signature leaves" do + {other, _} = :crypto.generate_key(:mldsa87, []) + + assert MLDSA87.sign("abc", private_key: @seed, public_key: other) == + {:error, {:public_key, :does_not_verify}} + end + + test "the keys are not held: no process, ets, persistent_term or application state after a call" do + before = {Process.get(), :persistent_term.get(), Application.get_all_env(:beam_mcp_signer)} + tables = :ets.all() + {:ok, _} = MLDSA87.sign("abc", opts()) + + assert {Process.get(), :persistent_term.get(), Application.get_all_env(:beam_mcp_signer)} == + before + + refute Enum.any?(:ets.all() -- tables, &(:ets.info(&1, :owner) == self())) + end + + test "both keys by reference: each function called once per signature" do + me = self() + seed = fn -> send(me, :seed) && @seed end + pub = fn -> send(me, :pub) && @pub end + + assert {:ok, sig} = MLDSA87.sign("abc", private_key: seed, public_key: pub) + assert verify("abc", sig) + assert_received :seed + assert_received :pub + refute_received :seed + refute_received :pub + end +end diff --git a/test/beam_mcp/signer/mldsa87_vectors_test.exs b/test/beam_mcp/signer/mldsa87_vectors_test.exs new file mode 100644 index 0000000..5b594a6 --- /dev/null +++ b/test/beam_mcp/signer/mldsa87_vectors_test.exs @@ -0,0 +1,76 @@ +# SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC +# SPDX-License-Identifier: Apache-2.0 + +defmodule BeamMCP.Signer.MLDSA87VectorsTest do + # The runtime the signer stands on, held to published vectors (test/fixtures/mldsa87/, written + # by tools/vectors_mldsa87.sh at pinned commits). `:crypto` verifies pure ML-DSA through the + # external interface with an empty context and nothing else, so a case needing anything else + # cannot be expressed here: each such case is counted under its reason, and the counts are + # asserted, so a case that comes into reach (a context option in `:crypto`, for one) fails the + # count until it is run. The signer itself never produces any of those classes. + use ExUnit.Case, async: true + + @moduletag :mldsa87 + + @dir "test/fixtures/mldsa87" + @keygen Jason.decode!(File.read!("#{@dir}/acvp_keygen.json"))["test"] + @acvp Jason.decode!(File.read!("#{@dir}/acvp_sigver.json"))["testGroups"] + @wycheproof Jason.decode!(File.read!("#{@dir}/wycheproof_verify.json"))["testGroups"] + + defp hex(s), do: Base.decode16!(s, case: :mixed) + + # A key or signature of the wrong shape is a refusal by `:crypto` (it raises), which is the + # verdict "does not verify". + defp verifies?(msg, sig, pub) do + :crypto.verify(:mldsa87, :none, msg, sig, pub) + catch + _, _ -> false + end + + test "ACVP keyGen tgId 3 tcId 51: the expanded key re-derives the public key, and the seed signs under it" do + pk = hex(@keygen["pk"]) + assert {^pk, _} = :crypto.generate_key(:mldsa87, [], hex(@keygen["sk"])) + + sig = :crypto.sign(:mldsa87, :none, "keygen", {:seed, hex(@keygen["seed"])}) + assert verifies?("keygen", sig, pk) + end + + test "ACVP sigVer, ML-DSA-87: every case :crypto can express agrees; the rest are counted by reason" do + tally = + for group <- @acvp, tc <- group["tests"], reduce: %{} do + acc -> + reason = + cond do + group["signatureInterface"] != "external" -> :internal_interface + group["preHash"] != "pure" -> :prehash + (tc["context"] || "") != "" -> :context + true -> :run + end + + if reason == :run do + got = verifies?(hex(tc["message"]), hex(tc["signature"]), hex(tc["pk"])) + assert got == tc["testPassed"], "tcId #{tc["tcId"]}: #{tc["reason"]}" + end + + Map.update(acc, reason, 1, &(&1 + 1)) + end + + assert tally == %{run: 1, context: 14, prehash: 15, internal_interface: 30} + end + + test "Wycheproof mldsa_87_verify: every case without a context agrees; those with one are counted" do + tally = + for group <- @wycheproof, tc <- group["tests"], reduce: %{} do + acc -> + if (tc["ctx"] || "") != "" do + Map.update(acc, :context, 1, &(&1 + 1)) + else + got = verifies?(hex(tc["msg"]), hex(tc["sig"]), hex(group["publicKey"])) + assert got == (tc["result"] == "valid"), "tcId #{tc["tcId"]}: #{tc["comment"]}" + Map.update(acc, :run, 1, &(&1 + 1)) + end + end + + assert tally == %{run: 234, context: 7} + end +end diff --git a/test/beam_mcp/signer/no_key_source_test.exs b/test/beam_mcp/signer/no_key_source_test.exs index a4fe11d..f732f2d 100644 --- a/test/beam_mcp/signer/no_key_source_test.exs +++ b/test/beam_mcp/signer/no_key_source_test.exs @@ -2,35 +2,48 @@ # SPDX-License-Identifier: Apache-2.0 defmodule BeamMCP.Signer.NoKeySourceTest do - # The census: the key comes through `opts[:private_key]` and from nowhere else. Two layers, - # the text under lib/ and the compiled beam's calls, so a spelling the regex misses is still + # The census: each signer's keys come through its options and from nowhere else. Two layers, + # the text under lib/ and the compiled beams' calls, so a spelling the regex misses is still # a call the beam shows. use ExUnit.Case, async: true + alias BeamMCP.Signer.{Ed25519, MLDSA87} + @lib Path.wildcard(Path.expand("../../../lib/**/*.ex", __DIR__)) + @source %{Ed25519 => "ed25519.ex", MLDSA87 => "mldsa87.ex"} @key_source ~r/System\.(get_env|fetch_env!?|cmd)|:os\.(getenv|cmd)|Application\.(get_env|fetch_env!?|get_all_env)|File\.|Path\.expand|~\/|\.ssh|HEX_API_KEY|_KEY"|:persistent_term|:ets\.|Process\.(get|put)|Code\.eval|:init\.get_argument/ - # What lib/ may call, per remote module: the beam's whole truth, held to a list. + @erlang [ + :byte_size, + :is_binary, + :is_list, + # the guard on a key passed by reference: a zero-arity function, called in the module + :is_function, + :error, + :==, + :"=:=", + :andalso, + :and, + :get_module_info + ] + + # What each module may call outside itself, per remote module: the beams' whole truth, held to + # a list. `:crypto.sign/4` and `:crypto.verify/5` are the arities with no options argument, + # so no context string (RFC 9964: empty for ML-DSA) and no other option can reach OpenSSL. @allowed_calls %{ - :crypto => [sign: 4], - :erlang => [ - :byte_size, - :is_binary, - :is_list, - # the guard on a key passed by reference: a zero-arity function, called in the module - :is_function, - :error, - :==, - :"=:=", - :andalso, - :and, - :get_module_info - ] + Ed25519 => %{crypto: [sign: 4], erlang: @erlang}, + MLDSA87 => %{crypto: [sign: 4, verify: 5], erlang: @erlang} } - test "the package is one module, and no line under lib/ names an environment, file, config or store read" do - assert length(@lib) == 1 + # The first two arguments of every `:crypto` call, as literals: the algorithm, and the digest + # type `:none`. Any other digest type makes `:crypto` sign a digest of the bytes, which for + # ML-DSA is not HashML-DSA but pure ML-DSA over the digest. + @crypto_args %{Ed25519 => {:eddsa, :none}, MLDSA87 => {:mldsa87, :none}} + + test "the package is the two signer modules, and no line under lib/ names an environment, file, config or store read" do + assert @lib |> Enum.map(&Path.basename/1) |> Enum.sort() == + @source |> Map.values() |> Enum.sort() for path <- @lib, {line, n} <- File.read!(path) |> String.split("\n") |> Enum.with_index(1), @@ -40,39 +53,87 @@ defmodule BeamMCP.Signer.NoKeySourceTest do end end - test "the compiled module calls :crypto.sign/4 and nothing else outside itself" do - {:ok, {BeamMCP.Signer.Ed25519, [abstract_code: {:raw_abstract_v1, forms}]}} = - :beam_lib.chunks(:code.which(BeamMCP.Signer.Ed25519), [:abstract_code]) - - calls = - forms - |> collect_remote_calls() - |> Enum.reject(fn {m, _f, _a} -> m == BeamMCP.Signer.Ed25519 end) - |> Enum.uniq() - |> Enum.sort() - - unexpected = - Enum.reject(calls, fn {m, f, a} -> - allowed = Map.get(@allowed_calls, m, []) - if m == :erlang, do: f in allowed, else: {f, a} in allowed - end) - - assert unexpected == [], "calls outside the list: #{inspect(unexpected)}" - assert {:crypto, :sign, 4} in calls - - refute Enum.any?(calls, fn {m, _, _} -> - m in [System, File, Application, Path, :os, :file, :ets, :persistent_term] - end) + for module <- [Ed25519, MLDSA87] do + test "#{inspect(module)} calls only its list outside itself, :crypto with literal algorithm and :none" do + module = unquote(module) + forms = forms(module) + + calls = + forms + |> collect_remote_calls() + |> Enum.reject(fn {m, _f, _a} -> m == module end) + |> Enum.uniq() + |> Enum.sort() + + unexpected = + Enum.reject(calls, fn {m, f, a} -> + allowed = get_in(@allowed_calls, [module, m]) || [] + if m == :erlang, do: f in allowed, else: {f, a} in allowed + end) + + assert unexpected == [], "calls outside the list: #{inspect(unexpected)}" + assert {:crypto, :sign, 4} in calls + + refute Enum.any?(calls, fn {m, _, _} -> + m in [System, File, Application, Path, :os, :file, :ets, :persistent_term] + end) + + {algorithm, digest} = @crypto_args[module] + crypto_calls = collect_crypto_args(forms) + assert crypto_calls != [] + + for args <- crypto_calls do + assert [{:atom, _, ^algorithm}, {:atom, _, ^digest} | _] = args + end + end end - test "the private key is 32 bytes, given directly or by a zero-arity reference, and the seed length is a module constant" do - src = File.read!(hd(@lib)) + test "Ed25519: the private key is 32 bytes, given directly or by a zero-arity reference, and the seed length is a module constant" do + src = source(Ed25519) assert src =~ "@private_key_bytes 32" assert src =~ "byte_size(key) == @private_key_bytes" assert src =~ ~r/resolve\(key\) when is_function\(key, 0\) do\s+\{:ok, key\.\(\)\}/ refute src =~ ~r/private_key:\s*< + Enum.reduce(args, [args | acc], fn a, acc -> rec.(a, acc, rec) end) + + t, acc, rec when is_tuple(t) -> + Enum.reduce(Tuple.to_list(t), acc, fn a, acc -> rec.(a, acc, rec) end) + + l, acc, rec when is_list(l) -> + Enum.reduce(l, acc, fn a, acc -> rec.(a, acc, rec) end) + + _, acc, _ -> + acc + end + + walk.(forms, [], walk) + end + defp collect_remote_calls(forms) do walk = fn {:call, _, {:remote, _, {:atom, _, m}, {:atom, _, f}}, args}, acc, rec -> diff --git a/test/fixtures/mldsa87/acvp_keygen.json b/test/fixtures/mldsa87/acvp_keygen.json new file mode 100644 index 0000000..2880786 --- /dev/null +++ b/test/fixtures/mldsa87/acvp_keygen.json @@ -0,0 +1 @@ +{"source":"usnistgov/ACVP-Server@975de31eb83d87039ec88934fdc47d8c312b892d gen-val/json-files/ML-DSA-keyGen-FIPS204/internalProjection.json","filtered":"tgId 3 (ML-DSA-87), tcId 51","test":{"tcId":51,"deferred":false,"seed":"A16F5B0796703E2D1A0140A35CBF36EFABE70E752BA59B6A9A0E9C4B05302F73","pk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diff --git a/test/fixtures/mldsa87/acvp_keygen.json.license b/test/fixtures/mldsa87/acvp_keygen.json.license new file mode 100644 index 0000000..da5b2ae --- /dev/null +++ b/test/fixtures/mldsa87/acvp_keygen.json.license @@ -0,0 +1,6 @@ +SPDX-FileCopyrightText: National Institute of Standards and Technology (usnistgov/ACVP-Server) +SPDX-License-Identifier: NIST-Software + +Changed 2026-10-20 by Sudo Apt Holdings LLC: filtered to ML-DSA-87 and compacted by +tools/vectors_mldsa87.sh, which names the source commit; the cases themselves are unchanged. +Source: the National Institute of Standards and Technology, ACVP-Server. diff --git a/test/fixtures/mldsa87/acvp_sigver.json b/test/fixtures/mldsa87/acvp_sigver.json new file mode 100644 index 0000000..45ab3f5 --- /dev/null +++ b/test/fixtures/mldsa87/acvp_sigver.json @@ -0,0 +1 @@ +{"source":"usnistgov/ACVP-Server@975de31eb83d87039ec88934fdc47d8c312b892d gen-val/json-files/ML-DSA-sigVer-FIPS204/internalProjection.json","filtered":"the ML-DSA-87 groups","testGroups":[{"tgId":5,"testType":"AFT","parameterSet":"ML-DSA-87","signatureInterface":"external","preHash":"pure","externalMu":false,"tests":[{"tcId":61,"testPassed":false,"deferred":false,"pk":"51F09061B0ABD0BC7AA8D2D815C519D566D09937B2418173854189CC1E85DDABCCD35047D59038902ADCBCC6BE76E49A8A246C1D4FA655C1FA7A1B09E6FBEFF87657885133252483140A39F7E72D7C1CEDA79E82D6F858B4CF3FB0446ECED81A359FD72B69EE096B5E5EA79672AD375ACFFDED29B65375F61A6AE889673FEB33FB75DBD253BD49F10942D672D9DB2BC32094AE0421282D17C5E43B2050319FEA1196B0F92C50F4C6A1B6F4BE640D7945221E85E860FD3A5161C433C85F24FF6F06B7A665C66B0A59FFE5ADE25CB14F294B47EDA27A7DA6DDE0AD5FA9C4BCF004999B652EDF1DF85C4F4AB7E0149E11A8356AEE2E054248B2DFFE9CF5AFBBCA5A53AB2DCB4908A17E6E44DCCF32F52950FF077E1455B412A1BFBAD6A580384F52613205A7BDCE554AEF6E4A4108B3099474CD4BB716B1AEE5B6072F82E90760658DC21BD162EAD9D83AB84ED3A2D8967351987E7E78F9A923FDD7BE60D2D20C29F40159F36CD4579AE2664DC7AC99B6D7479CAE67823AC1D941BA2B4AFF25830F12417B3DC81B29E1DC95F14A2BDEB83A6BC427293BF1455294CE118BFED6DF16010699CD7AAC9DF6922EC52B9BD11B7CBB113BD46E726948C090D563F43AC2DF33CB663BC2575BEBE7A510662B377D7EA1165782E5E6A5BA2E0E311491E997A1B28F08D0C8310968C1DF36627EA9FB4FF22B5D7461ACD40B4A473E70909A619EB6CCFF05A9B7DF09A1FA3466A9D5B08EDA6D6E14E4C4DF987B3582E227E2169E6FC162BA2282315F6D30074A9434159D8341B2565920A385356812422955C1DC1D6FD6666B1BA4939718DB25ADA2127FD92C7E2C75EBA218AD97B2F1E510C0D25F705ED224B737A29AF52842F5A8488DD2F4C3F170761C9660267ED857566365BE2B66FBEB6E3CDC5E1FD7C6572623769AC0AF422A89D90EED3EC5E990C03315B0952671002C3700DC81E62802C16598842C1A8D3B6D53A4CC41EC13BF957567070D351973B5922DA584F9502CDD6553B036A307399AAC4B10A87C6AAB7256B1D53F71E671FB34D4F0CD249E97C4D70B4497ED66456C0E13658DD477B38CCD6DAE862FD922F9AC3A364CCC889C6E60CEC632F92FB1CCB0C3448521F944FBD72186D8DE760526B407700BC046D27184E95C4E6E388AB89F9195A8104B9E185D5D85E38A5B30F3825581E4E2681196524D664F9ECCA690DE183F37DEF108267156394458363CA796AEE0F093D742FAFADB1B3927464C3EF66D45421AF8BCE564FBBAE029C9D374DF7D758FD23845152F8C2A8413CD787A01B21835FC604A56E281234ECBCCB80258AE55857430C91A9CDC64A458B61DCCC6EF5FC60E90AB0F842F258457D8D7E1C79DB943FA13974B6509EFE257E2813247C04E8E3B8633E1360D746560B3CAF0FA143EB7DAC5BA983A8B84E209B9A6E23F38C2F33E86D1CD18D99CFE2A36F66C240BAF51C517E9857D1378B8D7079BE4050985E3D46E2E7B8538C11E173D4F806F09E4AC8B3DED852A4E7AC61CD39095CBC46912C13D30EB7144A4C739036BE2D59664ABE5D085E066EDD2A89FF4EDED4F5FB466CC3AA42E65B82503069A76684AECCD009A45E680E8D141B5C2C1FB8A6EE298C3E7DB6D99374DF3A9CB381D8A1B584EFAD9A0347284F916419627F1A42C48DA97CFCBC8CB610E8980BB1C8EEFB12CEB0C9E274FFACF6CEBC1D16BD069EB1EFCDC5EAD1F73FB552EDD0C2384358342B07E60649E96156CAC57C03DF0C610EAD0EE1C89934700739FEDCA33950406DF41E345CBC8D80A6C8B4F251B76C8B20105B8C5656BF32BD71484DAB4D104A7F1EC6A2783A755DDAA8AD1E462E977F40893402CFF9D0004FA52C81895116FE3DCC9358A2EC75F5EB7B283DF1BA5E1B45B0BEA1CC682A13B11D7660D78CEC4F1202FC4811EF9A236E628E9586D88FCB006C243B062F042B546F174A816683EA8C501F6463EC6C53EF09389CE260F1DEE96C4430F6A007661E7A334EE52374BF226CDDFF5A696E6EC3839932C37CE44D9D841B0E1F0A9BC837B084C0FD6B9E9DF65BFE6850DE72CBCB596E031EAAD53EDB1B820DE549EF18E428525F007D654639A0A1D838B53FBB4A1DE77F08C1BAD273BB3BFF2C8542199EA4A35DECC994B8DFD7A58EEE81A3DF861BD246EC88D92321873A90D1CBA1D5A9059A5508B3AA067E9C50CC7556F486D91413338D1D054229231D6711EAFBEF85907E6ECA49FF7765C40C8F6A0A985D34C259CB6BAC58768A5B7FF1B0552868A7000B7804FD9B3689C8CF0065850BEC00D513C9F198B73C08688E636FC6D7472CD79B18E53E0C5E19577A1BA285EB2D563D4FB924A6BB6FD6B17CEE42BCDFBA37B387F401F07B89B87321F0E524EDC3275AE916AF5755A12ECBF193C38B602ACDCF7C23D14DCDB64AEC794793FE86608B59ACA9B234705B458FAC6ABAC94960B09176784DC856F0EDB136DF5F5C55E5132823617C7AA0972E5386C51C1FFF09798CCDC775169A022BDF987CFF637AC65CF0367A59F079D19C2F919F088B084FF30C6F2F46A9DC36698B95D86F8A53D465B912379BB0DC00B30637F28CEADD9C5587602D40A1280E43D336497672F46C82D953E385898BA4D02D01983EFD1B131423B0798C4E587D19E1799B279264B69A40B543860A86D3E329C3DE96CA8907ECDB7BE6B519BD1FAEED533A791DE58D48E1F4ED7485177B34387155DCAE3604AEE429A8EB5EF66F574719B6ECBAAE0FF4E65DBAF3B12C9AF5C28346F8AA05A42260158E17359BAEE36CE7495DFD23E64AA234921793F90BC5BC6DDCD7E5D3717024CB7ABF6EF32CED0AE6D8BD4CD546957C10FBD22999E43C9376909A3AC783969DE48A0FB7DC000435B7877C046FABD2301B32785876ECE7D6A526E8D73D09E094277231B8B927848F14E343ED486360488BC48279862A047E9505BBA36E1A31CDC0B3432C35F8B429AA6BE199D71DA2BF645186DA866FCDA59C6EE030474C0AC53B25470AEAF8FE26CFD98BB9C5D856F92690D5A79896950D58609DDF9FEA0B28347D8D7F942B5C2032F4656634B1B5523A9A617F475324F74329D0B72EB9DB2217E48C2E53F23588A2903642A2EF6C85B2523B90F61FFFFEED036527063890190EA41CF5EEA3D007281D1333A3E69941B059EBD2805B47071910D5C318E1B00DB313A1E6A83D1F0D98B57156DE3C1C60611A023FD156F408D0758312E4B2F56E6BBDA88AF55A8E8EA929A993034D6589441BD90EF25B8EB9D99DBFB2EDEFB45B8FD1DC218182C7B8A42A21EDA5CDE07FDAAB4BABA45C59B220C6C4BE09E368926B58F552C8108B9D5EFBCBD74BB8F768D3466B5F5FFE147DA0C299C2759569D697FF89977870462D187189734D691BFACDDEB44189D1616C094E541CD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message"}]},{"tgId":12,"testType":"AFT","parameterSet":"ML-DSA-87","signatureInterface":"internal","preHash":"none","externalMu":false,"tests":[{"tcId":166,"testPassed":false,"deferred":false,"pk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signature and message - signature should verify successfully"}]}]} diff --git a/test/fixtures/mldsa87/acvp_sigver.json.license b/test/fixtures/mldsa87/acvp_sigver.json.license new file mode 100644 index 0000000..da5b2ae --- /dev/null +++ b/test/fixtures/mldsa87/acvp_sigver.json.license @@ -0,0 +1,6 @@ +SPDX-FileCopyrightText: National Institute of Standards and Technology (usnistgov/ACVP-Server) +SPDX-License-Identifier: NIST-Software + +Changed 2026-10-20 by Sudo Apt Holdings LLC: filtered to ML-DSA-87 and compacted by +tools/vectors_mldsa87.sh, which names the source commit; the cases themselves are unchanged. +Source: the National Institute of Standards and Technology, ACVP-Server. diff --git a/test/fixtures/mldsa87/wycheproof_verify.json b/test/fixtures/mldsa87/wycheproof_verify.json new file mode 100644 index 0000000..923d7e2 --- /dev/null +++ b/test/fixtures/mldsa87/wycheproof_verify.json @@ -0,0 +1 @@ +{"source":"C2SP/wycheproof@7a325932231bd7a724c791c8b0d65ea4d6d2f435 testvectors_v1/mldsa_87_verify_test.json","filtered":"none (compacted)","algorithm":"ML-DSA-87","header":["Test vectors of type MlDsaVerify are meant for the verification of ML-DSA signatures","See doc/mldsa.md for details on how to apply these test vectors."],"notes":{"BoundaryCondition":{"bugType":"EDGE_CASE","description":"This case exercises a boundary condition (e.g. in the signing rejection loop). The verification algorithm may not notice."},"IncorrectPublicKeyLength":{"bugType":"BASIC","description":"The public key has an incorrect length."},"IncorrectSignatureLength":{"bugType":"BASIC","description":"The signature has an incorrect length."},"InvalidContext":{"bugType":"BASIC","description":"The context is invalid (too long)."},"InvalidHintsEncoding":{"bugType":"BASIC","description":"The encoding of hints in the signature is invalid (e.g. non-canonical order)."},"InvalidPrivateKey":{"bugType":"BASIC","description":"The private key is invalid, but the verifier does not know that."},"ManySteps":{"bugType":"EDGE_CASE","description":"This case requires many steps (e.g. many hashes in the matrix expansion, many iterations in the signing rejection loop). The verification algorithm may not notice."},"ModifiedSignature":{"bugType":"BASIC","description":"The test vector contains an invalid signature, generated by modifying a valid signature (e.g. flipping a bit)."},"ValidSignature":{"bugType":"BASIC","description":"The test vector contains a valid signature."},"ZeroPublicKey":{"bugType":"EDGE_CASE","description":"The public key contains a zero vector. This makes it trivial to forge signatures, but that's none of the verification algorithm's business."},"InfinityNormViolation":{"bugType":"BASIC","description":"The signature violates an infinity norm condition."},"MissingReduction":{"bugType":"BASIC","description":"A verifier that omits a modular reduction in the verification NTT path lets the inverse-NTT butterfly overflow a 32-bit accumulator and wrongly accepts/rejects this vector. See https://eprint.iacr.org/2026/1032."}},"numberOfTests":241,"schema":"mldsa_verify_schema.json","testGroups":[{"type":"MlDsaVerify","publicKey":"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that takes 5 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that takes 6 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that takes 10 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that takes 11 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that takes 12 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that takes 13 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that takes 14 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that takes 15 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that takes 16 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that takes 17 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that takes 18 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that takes 19 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that takes 20 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that takes 21 iteration(s)","msg":"7a0d000000000000000000000000000000000000000000000000000000000000","sig":"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that takes 22 iteration(s)","msg":"db12000000000000000000000000000000000000000000000000000000000000","sig":"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that takes 23 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that takes 24 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that takes 25 iteration(s)","msg":"d908000000000000000000000000000000000000000000000000000000000000","sig":"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that takes 26 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that takes 27 iteration(s)","msg":"d81e000000000000000000000000000000000000000000000000000000000000","sig":"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that takes 29 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that takes 31 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requires 1 SHAKE 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requires 91 SHAKE 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(sample_uniform) requires 5 SHAKE 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requires 280 SHAKE 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(sample_uniform_eta) requires 2 SHAKE 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returns a remainder of 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returns a remainder of 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index 119 in the negative 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index 40 in the positive 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index 153 in the positive 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index 210 in the positive 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index 245 in the negative 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index 224 in the negative 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index 12 in the positive 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index 156 in the negative 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index 299 in the positive 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index 340 in the negative 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index 466 in the negative 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index 357 in the negative 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index 503 in the negative 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index 321 in the negative 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index 613 in the positive 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index 661 in the positive 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index 716 in the positive 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index 746 in the negative 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index 589 in the negative 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index 662 in the negative 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index 670 in the positive 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index 573 in the positive 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index 753 in the positive 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index 669 in the negative 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index 957 in the negative 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index 943 in the negative 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index 810 in the negative 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index 983 in the positive 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index 1011 in the positive 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index 1004 in the negative 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index 843 in the negative 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index 781 in the negative 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index 832 in the negative 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index 794 in the positive 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index 1227 in the positive 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index 1133 in the positive 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index 1253 in the positive 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index 1220 in the positive 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index 1034 in the negative 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index 1277 in the positive 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index 1260 in the positive 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index 1073 in the positive 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index 1032 in the positive 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index 1158 in the negative 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index 1440 in the negative 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index 1384 in the positive 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index 1460 in the positive 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index 1373 in the negative 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index 1327 in the negative 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index 1502 in the negative 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index 1507 in the negative 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index 1362 in the negative 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index 1466 in the positive 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index 1431 in the positive 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index 1747 in the positive 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index 1610 in the positive 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index 1786 in the positive 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index 1593 in the positive 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index 1740 in the positive 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index 1646 in the negative 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index 1548 in the positive 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index 1629 in the positive 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index 1609 in the positive 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index 1772 in the positive 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0 is exactly gamma1 - 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255 is exactly -(gamma1 - 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samples the value 0 during matrix A 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samples the value q-1 during matrix A 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encounters the value q (rejected) during matrix A 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coefficient mod 2*gamma2 = gamma2+1 during 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coefficient mod 2*gamma2 = gamma2+2 during verification","msg":"000000000000002e","sig":"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coefficient mod 2*gamma2 = gamma2 during verification","msg":"000000000000004d","sig":"c60d333d36765c11720c38c6a2c13e885d572b4a717d709c549f7f66af64b0f153bd721cf95ba2bd2548db9c9184e573c2ab60777262a8a57d7cae09225cc950ca70d804b11f6f2bb621e0c294a090e1ae8f1062e74cd700f5f9722aa67938d1029f87905ca7789b68793320bc3bbdef36b41589462bd1b289fe337a42f709465a1f737042bad64104a2762c4352439b6b9fabc904584609f089012410cd67c60782c5ae3e05df2925aea91baa646367426a5f9ab8b7375bb3af8dfcd2c800ff3eaec3ff16b1e6e293c232b46d3b913e6319d641b27f4017c6aa9836313ba9b55d15a9163e445a7a56d2d1142c0317e118ea0e1063f34ee16198b24c4ba96f88d50a2b4416aa9957a17282df5acc580b7324b6f7f1cf9355e379b8bfbdfd014c97385ffa3d14c0001ff4aa5575a0f825e6afa746fdf46469bb2dc15fdc86eb294231d1c53b51751e358272cce168b9be684ef8e8ba8363622c6d4e822198e50e13ab064f95478bcd65083789a9df0c1830907142681701097d26bae3a296b8d5ef768ddd0609c3c872b62d153d9691af3a65d78686a60d9cb1df5b9ec41ca2fbb976c84f601de235e0628e7303a295838ee30f0e9a267fe68c0b6d12c69e43f0524df687d429f152aa4a1aaff6ff80b4c29a6dc6c004f272f8722781c568e93e022536f587f40030e008e5b164b88c5f01311e5b25d299c46909bcc5f57a90f376a23e5a5c3e3bc8dfaf0e9079bd37c8889c91a6894a589c06df30aa3a352e10eebbb05424ec1b01d4a6d0ddf4a69c11539d31ab7b555aaf537ba20148bdf09f061ee88377f713fdbd7544ec9ffff73b13e8444e3cf44e76b03a73ebde238118df158da1ce6a1f1c161a9d8a882da7ca90558d7e9f001c8a40a849f6ef81191c2ffcb633cd9b2de00cbb0bc628f46689bafb3755d4cff481b63d62e2e086023aa6dc4c22c6403fa16a02790b099a2c908158df41c3a093a0ef27f90e263a7280d1893481de57d1b011815d6db9533b17f9ec729571f4b48764181d392be31e71f63d0e89b70e2810e60a2efc8db5030c19c6431b61f5b1bc0a889b9afc1826456a4c29761c15abce20f627e34eea64a0ca9aade58155b545cd4e6aea1f420e59b5d07bec8abd20911cfd01e2baf2904f9f2a5e550dc41e8b10565f70465ab2aaf1480b3b81bcdd9c2e2c57221f1585938f945352557ad4b22886a90e849df4f4ddf4664d564a7270c6e5147166a0f1754831cd7e47ca25ba226a712904fe5bf4ad45487dacca94dc84360a869be6d83f94ab73242ca37e0796d396e31e7e17abbe9d8a0a1a261b8f5a01f21b3c535c51da6e2e4cfa54afc496690f05004a3b63b33d29e1cba9e16a5abde233aeca254456109d624a2155d66a1cea8ae0a61449ec8d9f28a0a482c3b866986e23a70edc53ffc91f69d8ccdbf7bc7b640e4e252d7f0a11cefa476fa0b1fa254741e75a812f8d766c7e612a6f8791087d80493b837878a21d51e576de08121203712e7dbef2a656343d9ca83de5be39124500aff62b186793ccda163da1e6af321df0ac4fc06986b82b3f4a4d13babb4453245fe099e389c6aa057087acbcdce382b65e6ee613cf448964e830a06bb19da85ffec5ddfdbe9585cc655134bf93446e9a4e7805bc05a08a15724d8554bcb5be1aced4cdd285103e658abb6043def0a9f0b3957ff3b0c71cd54947b462483ae7fa352d8959bac084b2749ec369c41e27bcaf9cc4bac89d04440098ce90c0b949847363c42a0e44cc08d093e917f6c7c408d7a1f02a7bafd2690f06397f953724cd9b4f66513892a75016640944d0cd0c4757bd07b96bdd0a7f8a339e23418601b0e7ef44eef74389bf68201ca39ccfdf4d3a533e1aff997cddfa3d8ffd6e5099819abd5762a107015584ff1a87c8021df3cb2aaac5bb10b16ba86ce5f0f1b12d97a400b4230c9678c67c53b6cc52b336ac7dc49949bf3493d5727d6c6c21fd8b78c80faf713e636c17c0a1e4f21f0a230144fc7ffbfa6ce74bed39af03b74c3f28ab23778f99164fadc00d15a2c7c57a936c68022d5306ed77b0a7201158d270e11b8514178f727bfe63bb82b1d67f150af086856bc5f0a2b62f290ab71aeaee6368c39af78d5e01b00ad3e153eb2cdcd789d53e534a4d681fa545db70238839260e52d9dcd7df88b9151d63f1963f667d886f6d52b7d44dd251a0687c78afc3b66111cf72073e8032f2c094dcd74b5ee5f94a51581bbbd5201f4ff8eb9a6b613897c0fcc109685129b20b0911e1f9b25e142eebe21b31e1ec476ddc3743104b7c867a40c26f661e0f353965a05c3d5ed1b805cd8b244d66ea742ffb7f6e82f74c48af91a670c10448f3b401dcaf5cb8959ad3a9699b8ba754afd6e629942680c2fbcd65bda50602bba1431d52938eb835d489fd78fd12e4ae4bfc8e07be557ade3ffc86ad89a8934c89cbf36c59c2b0b0ffe9f84547d3014abec27a50ed72ae83885b74c1bc713024aa974493618ab00ddf7e902b9c3999a9fda859ba63b1461cd87cbc74a7c59e716b1e8808557336efc488349f424fc216e18aa7a008c86d84293b33621414ea54f101f3528b28b84598bc644bb77257cc4058f6b3b7100d18356144789024ff4dbb0cd72300b3216a37675cbb8c2ae868e186a2f3afee6f96d8061c92f3eab7c79ae237cf645034c26e04c4f53069856833d8b01b07bf31f51fe02b04f8fafd0df3229e27724e6a2cb6a3390d3163fa10906ae0b1a787ba43dc89c8a3f9d90dde3bd835feb55c2eef5b0e2ce89ce49cedddcbea22dc12acff9313de11b671b8c9a49ed99ee91a91cc1ff19356855927ee5dc2c79b6dc1a6e8a229b4ffb38dba29bafb1ceb0b29c12524b232fa9a1506d1c521b16cb23c2d0e38840f92677b0dae8255507d0248348e42e2efc287d57fcb6054048cf334efe7179ee01bb9518976be71941c85299b854cff7a2bebc70650333622b07550ff5afbe7ec19e48f26ef6e8a7689c6060c98dfd2e55130bbb109c5e265673adbf66b12ac8c1ba1c2c7e0e30d343235b9f9f2718d03d5244497938e73244b7255377fed886213253d1e6c8311d039bcb48f6bb3ec8c943f728452a81fedcfe1809765f63100471e8f6d32d509ed1aaa8649f9062fce1c9b7d073c4e301679309de4d21022144dd9447f604a246bcd4ec6f0209d132d523a64ddf20f01558092c617c7876f3bb96ad6a653222d4ac3aa44575728c966d1ca94f3d77882a9e3de6a5f9fabaa7b4eed7250bae9b5998202da7df7d3fefe1cea1d0f7b4ec3c50648a86f73e9bc04e782cc1efdeaa47583d3e16caff58b207eec293db3d149b143fda436b3e27db038ec5c8fa286d8ed4f0b74db84078575dafa20a1c81a126896be3e4cd1bd56fa96a13d7bb15a7bcedf906e8c9599824355188dbfd6bd9738421b51ff2d2255d581e3ccd557a6d2c610fe107f7be8112ed97ddb908deffa97abad098e3230b907b414df137b13a86ebc706779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output is 1 during 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output is 0 (coefficient is multiple of 2*gamma2) during verification","msg":"00000000000000b9","sig":"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output is -1 during verification","msg":"00000000000000d5","sig":"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lowBits boundary in decompose special case (r0 adjustment 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lowBits boundary in decompose special case (skip r0 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signature with maximum (ω) hints","msg":"00000000000000a2","sig":"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signature where one polynomial has zero hints","msg":"0000000000000147","sig":"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hint limit goes backwards (limit < idx)","msg":"0000000000000147","sig":"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crafted hint section with last limit=255, strictly increasing indices read past hint section causing buffer overread","msg":"0000000000000007","sig":"591f88bfde7da945eada046fb24d720ecd97dfff5bcaa06e06e4e1f2bd63e764bc03b56716581552ebb1f4ee01b02517c52c545da6255164e3581fb28a22378bbec85875a7508ef8fcc6c63358f8fbd5a9fd6a183c85f9a9872e044fd5eb8a5b40f164996dac9d94e95be48722bf4a6a10ce6d1cfc3efc1b836a7b3177572b82462334e699d5e5b9afb62f6bcb559a1ea7dfcc35db481fa25ead152d35ce8f1c2831c560c299c5f52d18fa09015c3f4734474fde152541ec9e1d1ebb4b7aa1c672521b8214cba2471212f8971dee961b314759a1d6a28e97d044fb767ccf16a3a9b1eee2c374cbebe2c4a67195921bbe93aee989ebc8e36f65331552251105d98da062476d94cc8f33797fb1fb3d11994b8affc06a932398ea430f366e1b042324838e7e63b2513f53b82ab106dac378b239fd322062a832ee1696dbca38a28517104e879ca006b2b1b58e85d50621ccb4b3d9b85090bfa0649ff7ce012156d13861b19248cedd9e4c36ca96acb453d001e84ad26af96f1c4bb184c5e4a8b30d5efa6fa456a8406f6c3e955454c458e5674b6f52f7168e91a2baa20f85e30b95ac36c47651edc078c729696ce54b1c9a078320424ea7e88e9c5bfba42055b4be34305c844385fe0c7095962efac472022c7ea3c5322e03640501ac9e2e99e2e857bd8214964fcec53e7acf707c660e3714b4c5dca300bc19de5de376747b2c374630505c6fc2e6399ae70e0a9eb079d5348db939dd78c4933590eb7bb2c6d9be44e45f7bcff4a3098bd8f17be9e4fe93774f3555f382e23f43b8da78377d64e704b58ad39ee332367c15d8827dc8b019b9c9d359c4df8e8b47a2818f417e99d6bf47e38fb71ddf878601275d0ec8d3ce96dc04fb44e45ac3d31e709bc6f38e92f54d70e2b28d6f878167d7ea5c949f7ed64803e5c4806aba2f3f0467c9f8b9f0e036aacd679cd6dd0fef98d0c86a97e2aeb0ebc2e175e5037fcd42202dfdc06b3118b1572a2473e8e9a39b6cef651288527d8839a67aad6f7743f35cdaa03d5a7bae4208e390ee7fdc5f45ee6d55ed09e87c0fce05f84bf18366a8ca5761a3a1133f6d9502be51957409d9ef70a1c0cebd262de1111caf53e5cc9b4aeccf3fe49d21557e78c64f72fe2deea23d1a125fafa7e213aabe7bb1dbded9cad3fb608f6f7d816e03975b4e5f47a9adc6ef8da8346c3b0e8c8654aebc30e731c58280b41324e83dc0c73c450402f83e9781d57d2aa6ab8f9ae5bff610f198447c4a8a0fb0d87e5540c31e8ab36a8fc9775ab26cb3ab74a3232d4195df05dda9bf0ec6e7925179518a16fbaf79c0a15ed5217653355e9d1d449360b4831249d7982bda4cb138964292fb9be709cc5ae87137a2fc30a6312bd29f651e4fd46fa74707324f7267af3b8f4ebf90592c0562c82acc350acf65c213d83361d0f043e015f7e46d01ce890f1b3321e2b52c9446451bb82b26af6c2e8b96b0bd18f99267c29cdd8eb4d3bf451da3995e72d74704ae48d0ddde3673cd3e55ec512872d85c846c4271f1f0912bac1197345ade8173eaeae1cc3db71ec7fe2935966f8d7de765a408dba177e24b88c2af4a215022a27dae4d0e34fccac48daf846d51d3857c00b2bbca82266ba8471c7c73a5437ae889e066631e128f1e311d057844d675b5e5fa9f26d4efac83b3fc488cc582d7955675b1bfba39df8b3ff7cb45be2813b0db0f9e7e28598df3e0a4baef2bc5646fcfb11f9fc70d17297605805492f05166ac64287ae63bcc0977f9da230430c7da55288c3eea19b74f41b81ea58b74bc626cb376596ab724244e4d157816bba092c1aa64480407694bbaaf84be44f9c161fb0a10ca2c7de4b0328ad470c16aafdaeb1aa677811d6978af1e31a96e1311a775b50fcbe73f7c7c13693667eea4c913d4a3842dad06e671c3fb2d52e8ebc5ddaa99438f21c95763c72ca5323af8ec8f5a159fd097bbf091068bc378006d596501629d3e2d4ab71e48ef2ab8d441de5ebba47b31fc364d2337649e04b2d333c2d59a6b8888b101febf6d30380c5a16ed439b5c20fddcbad74c47d9705093221890afe9c8eedf5f62174cdcdb4430e63de86dde01c5f1e5f0201ffb8a955eefcb5a56b0a32154ba9ca102cd4cb2ff24d9d284e9060bce54727ef2fff74f19d55e3a2b91fd5ff7c0f5f82a98e205bc9f98c179d383342fae01ec8aecb229be0bb937b4bbbfc23a9c8fca20f465f8192b202906826e97595bc30f81d9bf97c05f1f8f37aeb229aa6293297b13a02ec9af784cdd8bf12dfe089f20e6ab674aec699025d172d5f65ec6b1b9f78e1f03a8150b23e0628142775934b3d62f7a96ac37b0129d06f454e18f189c1b79f9156f9130e6277a429a7c65b5a460470c85e10b15a682dfa346be3d17e02232b73d66af8b8305afca2ffa7a5cc5513ec516fce5fe1be999c986850bcd47ab72facb541071e0e185d2876dc907fc6f3d8cdb83b7ac9a0f86bcc8688ec0cb8953dc59228569c8342b4ad5f2a3b2212f309d543a0d179fd92c62578ba73bdfcdb50be2b755abd5c852879937f8cad85c73e45f76069687af96ce52277377521e8612491b1bbd79f64f859e0ca6370b6c0665e81515b70597bb0c1ba25c7fe1f44db091c7044016c770e0284c0b44009e6fd55c362b9053367a7f331c4f6fc7926d6af4f77ce469170a1d9caee33c616a2c779de448b904ff2c1813cabf26552e8c53b4f8cc0bed0f6d43ac57336f2d8e9cef3a3460f97a9583e6dd9c62b1882d2f90a29f2ff631e8fd26916ab8f5d98ed9cf5f0f2ecff060325058c126371544e11ec1f07f4d524b29824e9e6da175dfb9ddde86f8a7308917b4af2331643601df4976e357ef7be0bdc9f69c315152408a0d9d4bd78a698032902d758683a5b8c3043fcc8df6c2d53aed1dc2dbefe29308f7e566dc9c1b28acd93054224638ca233c712b31f2309f81f938d8136db69028ce0f187ac51cf9b93e169b99dbd22ccb0877f05acffdf21f86ec0e617fc47cef1fe78bd0585a4a35d8b27cb64151b9c91bc76e709875b134890781fdc841a1fcf69d72f50de633b0cc7da00481f9fa5226dd17ce98f7f087923097005087940e5373685169c46c896ac491b31fc40cb6540698d57a6361a71a875d1bc038c47dce744961a4c0a00108c75bcf1e19d9009b3a9f2ce53ecfd88c2c70a2ea87e4c9a70ef339e44cb0f72bbe824eaea966bf01be5e05c377c50254198d3ce05171e44046f32b9aeb3cbecdb17f05507076b6cd79942c6dce347d7f47fc99077b3bbaaa756b2e6a6addea8b78553eb02a77bc7b9e58b9b51291a78ac5fbb28ed4c76dd5bd99eba064cc60babd8a2453a6344f1290ad19b598363e1d903ec15e4416f4c7e8b72b8e3c9627e662cb0e30eea85aab0536c0906c304ecd34031db7e87350f9a1889e2e1a925acd48acddc1ca35bbaf2626d57fc8926dad3308116be4c5e39c552992de637478297ccf7cb20dd09906dd2c8955f77ef4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crafted hint section with last limit=ω+k+1=84, reads one byte past hint 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signature with ω+1 hints, encoded so the extra hint overlaps with 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256-byte context signed with length byte 0xFF (min(len, 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256-byte context signed with 2-byte big-endian length 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public key with one trailing zero byte, signature computed over 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where the 5-th byte of c_tilde is 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where the 6-th byte of c_tilde is 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where the 7-th byte of c_tilde is 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where the 8-th byte of c_tilde is 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where the 9-th byte of c_tilde is 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where the 12-th byte of c_tilde is 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where the 13-th byte of c_tilde is 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where the 14-th byte of c_tilde is 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where the 15-th byte of c_tilde is 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where the 16-th byte of c_tilde is 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where the 17-th byte of c_tilde is 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where the 18-th byte of c_tilde is 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where the 19-th byte of c_tilde is 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where the 23-th byte of c_tilde is 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where the 31-th byte of c_tilde is 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where the 32-th byte of c_tilde is 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where the 33-th byte of c_tilde is 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where the 34-th byte of c_tilde is 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where the 35-th byte of c_tilde is 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where the 36-th byte of c_tilde is 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where the 37-th byte of c_tilde is 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where the 38-th byte of c_tilde is 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where the 39-th byte of c_tilde is 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where the 40-th byte of c_tilde is 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where the 41-th byte of c_tilde is 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where the 42-th byte of c_tilde is 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where the 43-th byte of c_tilde is 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where the 44-th byte of c_tilde is 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where the 45-th byte of c_tilde is 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where the 46-th byte of c_tilde is 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where the 47-th byte of c_tilde is 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where the 48-th byte of c_tilde is 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where the 49-th byte of c_tilde is 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where the 53-th byte of c_tilde is 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where the 54-th byte of c_tilde is 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where the 55-th byte of c_tilde is 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where the 56-th byte of c_tilde is 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where the 57-th byte of c_tilde is 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where the 61-th byte of c_tilde is 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diff --git a/test/fixtures/mldsa87/wycheproof_verify.json.license b/test/fixtures/mldsa87/wycheproof_verify.json.license new file mode 100644 index 0000000..2dd7955 --- /dev/null +++ b/test/fixtures/mldsa87/wycheproof_verify.json.license @@ -0,0 +1,5 @@ +SPDX-FileCopyrightText: The Wycheproof authors (C2SP/wycheproof) +SPDX-License-Identifier: Apache-2.0 + +Changed 2026-10-20 by Sudo Apt Holdings LLC: compacted, with a source field added, by +tools/vectors_mldsa87.sh, which names the source commit; the cases themselves are unchanged. diff --git a/test/test_helper.exs b/test/test_helper.exs index 48424fd..5418a50 100644 --- a/test/test_helper.exs +++ b/test/test_helper.exs @@ -1,4 +1,14 @@ # SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC # SPDX-License-Identifier: Apache-2.0 -ExUnit.start() +# ML-DSA-87 needs an OTP whose `:crypto` is linked to OpenSSL 3.5 or later. Where it is offered, +# the tests tagged `:mldsa87` run and the ones tagged `:no_mldsa87` (the refusal a runtime +# without it answers) do not; elsewhere the other way round. With MLDSA_REQUIRED=1 (CI's box +# leg) a runtime without it is refused here, so that leg cannot pass by excluding the tests. +mldsa87? = :mldsa87 in :crypto.supports(:public_keys) + +if System.get_env("MLDSA_REQUIRED") == "1" and not mldsa87? do + raise "MLDSA_REQUIRED=1 and this runtime's :crypto does not offer mldsa87: refused" +end + +ExUnit.start(exclude: if(mldsa87?, do: [:no_mldsa87], else: [:mldsa87])) diff --git a/tools/bench_mldsa.exs b/tools/bench_mldsa.exs new file mode 100644 index 0000000..c7fd01d --- /dev/null +++ b/tools/bench_mldsa.exs @@ -0,0 +1,76 @@ +# SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC +# SPDX-License-Identifier: Apache-2.0 +# +# ML-DSA-87 latency on this machine: BeamMCP.Signer.MLDSA87.sign/2 (one signature and the two +# verifies of its check) and :crypto.verify/5 alone, over a fixed input set, reported as min, +# p50, p99, p99.9 and max in microseconds with the CPU it ran on. A figure from this script +# describes the machine that printed it and no other: it is never a figure for a box it did not +# run on. +# +# MIX_ENV=test mix run tools/bench_mldsa.exs [rounds] (default 2000 per input size) +# +# The input set: messages of 64, 1,024, 16,384 and 262,144 bytes, each the SHA-256 counter +# stream of its size, so every run signs the same bytes; their sha256 is printed. The key pair is +# ACVP's keyGen tgId 3 tcId 51 (test/fixtures/mldsa87/acvp_keygen.json). +alias BeamMCP.Signer.MLDSA87 + +rounds = + case System.argv() do + [n] -> String.to_integer(n) + [] -> 2000 + end + +pair = "test/fixtures/mldsa87/acvp_keygen.json" |> File.read!() |> Jason.decode!() |> Map.fetch!("test") +seed = Base.decode16!(pair["seed"]) +public_key = Base.decode16!(pair["pk"]) +opts = [private_key: seed, public_key: public_key] + +stream = fn size -> + 0 + |> Stream.iterate(&(&1 + 1)) + |> Stream.map(&:crypto.hash(:sha256, <<&1::64>>)) + |> Enum.take(div(size + 31, 32)) + |> IO.iodata_to_binary() + |> binary_part(0, size) +end + +cpu = + case File.read("/proc/cpuinfo") do + {:ok, info} -> + fields = for line <- String.split(info, "\n"), [k, v] <- [String.split(line, ":", parts: 2)], do: {String.trim(k), String.trim(v)} + model = Enum.find_value(fields, "unknown", fn {k, v} -> k in ["model name", "Model"] and v end) + part = Enum.find_value(fields, nil, fn {k, v} -> k == "CPU part" and v end) + "#{model}#{if part, do: " (CPU part #{part})", else: ""}, #{System.schedulers_online()} schedulers" + + _ -> + "unknown" + end + +[{_, _, openssl}] = :crypto.info_lib() +IO.puts("machine: #{cpu}; #{:erlang.system_info(:system_architecture)}") +IO.puts("runtime: OTP #{:erlang.system_info(:otp_release)}, #{openssl}; #{rounds} rounds per size") + +percentile = fn sorted, p -> Enum.at(sorted, min(length(sorted) - 1, trunc(p * length(sorted)))) end + +measure = fn f -> + for _ <- 1..rounds do + {us, _} = :timer.tc(f) + us + end + |> Enum.sort() +end + +report = fn label, sorted -> + IO.puts( + " #{String.pad_trailing(label, 30)} min #{hd(sorted)} p50 #{percentile.(sorted, 0.5)} " <> + "p99 #{percentile.(sorted, 0.99)} p99.9 #{percentile.(sorted, 0.999)} max #{List.last(sorted)} (us)" + ) +end + +for size <- [64, 1024, 16_384, 262_144] do + message = stream.(size) + {:ok, signature} = MLDSA87.sign(message, opts) + IO.puts("#{size} bytes, sha256 #{Base.encode16(:crypto.hash(:sha256, message), case: :lower)}") + report.("MLDSA87.sign/2 (with check)", measure.(fn -> {:ok, _} = MLDSA87.sign(message, opts) end)) + report.(":crypto.verify/5", measure.(fn -> true = :crypto.verify(:mldsa87, :none, message, signature, public_key) end)) +end diff --git a/tools/cross_verify/go/go.mod b/tools/cross_verify/go/go.mod new file mode 100644 index 0000000..b6d5df4 --- /dev/null +++ b/tools/cross_verify/go/go.mod @@ -0,0 +1,6 @@ +// SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC +// SPDX-License-Identifier: Apache-2.0 + +module beam_mcp_signer/cross_verify + +go 1.27 diff --git a/tools/cross_verify/go/main.go b/tools/cross_verify/go/main.go new file mode 100644 index 0000000..72f2891 --- /dev/null +++ b/tools/cross_verify/go/main.go @@ -0,0 +1,65 @@ +// SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC +// SPDX-License-Identifier: Apache-2.0 + +// Verifies an ML-DSA-87 signature made by BeamMCP.Signer.MLDSA87 (tools/mldsa_sample.exs) with +// Go's crypto/mldsa, an implementation independent of OpenSSL's: the signature verifies over +// the message with an empty context, does not verify over the message with one bit flipped, +// and the public key is the one the seed derives (which OTP's :crypto cannot compute). +// +// go run . +package main + +import ( + "bytes" + "crypto/mldsa" + "fmt" + "os" + "path/filepath" +) + +func read(dir, name string) []byte { + b, err := os.ReadFile(filepath.Join(dir, name)) + if err != nil { + fail("%s: %v", name, err) + } + return b +} + +func fail(format string, args ...any) { + fmt.Printf("FAIL "+format+"\n", args...) + os.Exit(1) +} + +func main() { + if len(os.Args) != 2 { + fail("usage: go run . ") + } + dir := os.Args[1] + message, signature := read(dir, "message.bin"), read(dir, "signature.bin") + encoded, seed := read(dir, "public_key.bin"), read(dir, "seed.bin") + + pk, err := mldsa.NewPublicKey(mldsa.MLDSA87(), encoded) + if err != nil { + fail("public key: %v", err) + } + if err := mldsa.Verify(pk, message, signature, nil); err != nil { + fail("the signature does not verify: %v", err) + } + fmt.Println("ok the signature verifies over the message (ML-DSA-87, empty context)") + + flipped := bytes.Clone(message) + flipped[0] ^= 1 + if mldsa.Verify(pk, flipped, signature, nil) == nil { + fail("the signature also verifies over the message with one bit flipped") + } + fmt.Println("ok it does not verify over the message with one bit flipped") + + sk, err := mldsa.NewPrivateKey(mldsa.MLDSA87(), seed) + if err != nil { + fail("seed: %v", err) + } + if !sk.PublicKey().Equal(pk) { + fail("the public key is not the one the seed derives") + } + fmt.Println("ok the public key is the one the seed derives") +} diff --git a/tools/cross_verify/rust/Cargo.lock b/tools/cross_verify/rust/Cargo.lock new file mode 100644 index 0000000..40a5918 --- /dev/null +++ b/tools/cross_verify/rust/Cargo.lock @@ -0,0 +1,136 @@ +# This file is automatically @generated by Cargo. +# It is not intended for manual editing. +version = 4 + +[[package]] +name = "aws-lc-rs" +version = "1.18.2" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "faac5829c2b74c28f830747e7818ccfb684261b5f48a1118b1e2a13d36dfab13" +dependencies = [ + "aws-lc-sys", + "untrusted", + "zeroize", +] + +[[package]] +name = "aws-lc-sys" +version = "0.46.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "f1622d8446a2d4b2ce0c7eefc73dd43a99779028d5ee5c2dd8073a658ba8a2bc" +dependencies = [ + "cc", + "cmake", + "dunce", + "fs_extra", + "pkg-config", +] + +[[package]] +name = "cc" +version = "1.9.0" +source = "registry+https://github.com/rust-lang/crates.io-index" 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"pkg-config" +version = "0.3.34" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "f6b464fbc74e149a392436b17d523f769e057cb6877f6a5c4618bc6f11800548" + +[[package]] +name = "r-efi" +version = "6.0.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "f8dcc9c7d52a811697d2151c701e0d08956f92b0e24136cf4cf27b57a6a0d9bf" + +[[package]] +name = "shlex" +version = "2.0.1" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "f8fadd59c855ef2080decdef8ff161eb6661b86933c9d82e5ba29dc602a55aba" + +[[package]] +name = "untrusted" +version = "0.7.1" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "a156c684c91ea7d62626509bce3cb4e1d9ed5c4d978f7b4352658f96a4c26b4a" + +[[package]] +name = "zeroize" +version = "1.9.1" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "e13084392c5e4bc371903e2935a5eaeed24905a7511356b883835e18a78f6879" diff --git a/tools/cross_verify/rust/Cargo.lock.license b/tools/cross_verify/rust/Cargo.lock.license new file mode 100644 index 0000000..f1cc249 --- /dev/null +++ b/tools/cross_verify/rust/Cargo.lock.license @@ -0,0 +1,2 @@ +SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC +SPDX-License-Identifier: Apache-2.0 diff --git a/tools/cross_verify/rust/Cargo.toml b/tools/cross_verify/rust/Cargo.toml new file mode 100644 index 0000000..856f8c5 --- /dev/null +++ b/tools/cross_verify/rust/Cargo.toml @@ -0,0 +1,13 @@ +# SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC +# SPDX-License-Identifier: Apache-2.0 + +[package] +name = "cross_verify" +version = "0.1.0" +edition = "2021" +publish = false + +# ML-DSA is stable in aws-lc-rs from 1.18 (`aws_lc_rs::signature::ML_DSA_87`); the lock file +# pins every crate. +[dependencies] +aws-lc-rs = "=1.18.2" diff --git a/tools/cross_verify/rust/src/main.rs b/tools/cross_verify/rust/src/main.rs new file mode 100644 index 0000000..8de170e --- /dev/null +++ b/tools/cross_verify/rust/src/main.rs @@ -0,0 +1,43 @@ +// SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC +// SPDX-License-Identifier: Apache-2.0 + +//! Verifies an ML-DSA-87 signature made by BeamMCP.Signer.MLDSA87 (tools/mldsa_sample.exs) with +//! aws-lc-rs (AWS-LC's ML-DSA, not OpenSSL's): the signature verifies over the message, and does +//! not verify over the message with one bit flipped. +//! +//! cargo run --locked --release -- + +use aws_lc_rs::signature::{UnparsedPublicKey, ML_DSA_87}; +use std::{env, fs, path::Path, process}; + +fn read(dir: &Path, name: &str) -> Vec { + fs::read(dir.join(name)).unwrap_or_else(|e| fail(&format!("{name}: {e}"))) +} + +fn fail(why: &str) -> ! { + println!("FAIL {why}"); + process::exit(1) +} + +fn main() { + let args: Vec = env::args().collect(); + if args.len() != 2 { + fail("usage: cross_verify "); + } + let dir = Path::new(&args[1]); + let message = read(dir, "message.bin"); + let signature = read(dir, "signature.bin"); + let public_key = UnparsedPublicKey::new(&ML_DSA_87, read(dir, "public_key.bin")); + + if public_key.verify(&message, &signature).is_err() { + fail("the signature does not verify"); + } + println!("ok the signature verifies over the message (ML-DSA-87, empty context)"); + + let mut flipped = message.clone(); + flipped[0] ^= 1; + if public_key.verify(&flipped, &signature).is_ok() { + fail("the signature also verifies over the message with one bit flipped"); + } + println!("ok it does not verify over the message with one bit flipped"); +} diff --git a/tools/mldsa_sample.exs b/tools/mldsa_sample.exs new file mode 100644 index 0000000..226ba12 --- /dev/null +++ b/tools/mldsa_sample.exs @@ -0,0 +1,44 @@ +# SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC +# SPDX-License-Identifier: Apache-2.0 +# +# Writes one ML-DSA-87 signature made by BeamMCP.Signer.MLDSA87 for other implementations to +# verify (tools/cross_verify/): the canonical bytes of a fixed graph, the signature over them, +# and the key pair it was made with, ACVP's published keyGen case (tgId 3, tcId 51), so the +# seed is a test vector and no secret. Run on CI's box leg: +# +# MIX_ENV=test mix run tools/mldsa_sample.exs +# +# Writes /message.bin, signature.bin, public_key.bin, seed.bin. +alias BeamMCP.Connectome.{Canonical, Edge, Graph, Node} + +[dir] = System.argv() +File.mkdir_p!(dir) + +pair = "test/fixtures/mldsa87/acvp_keygen.json" |> File.read!() |> Jason.decode!() |> Map.fetch!("test") +seed = Base.decode16!(pair["seed"]) +public_key = Base.decode16!(pair["pk"]) + +srv = Node.new!(kind: :server, level: :server, identity: {:server, "srv"}) +a = Node.new!(kind: :tool, level: :server, identity: {:tool, "srv", "a"}) +b = Node.new!(kind: :tool, level: :server, identity: {:tool, "srv", "b"}) +e = Edge.new!(from: a.id, to: b.id, kind: :invoke, provenance: :declared, weight: 1) +graph = Graph.new!(nodes: [srv, a, b], edges: [e], schema_version: Graph.schema_version()) + +message = Canonical.encode!(graph, algorithm: :sha384) + +{:ok, %{signature: signature}} = + Canonical.signature(graph, BeamMCP.Signer.MLDSA87, + private_key: fn -> seed end, + public_key: fn -> public_key end, + algorithm: :sha384 + ) + +for {name, bytes} <- [ + {"message.bin", message}, + {"signature.bin", signature}, + {"public_key.bin", public_key}, + {"seed.bin", seed} + ] do + File.write!(Path.join(dir, name), bytes) + IO.puts("#{name}: #{byte_size(bytes)} bytes, sha256 #{Base.encode16(:crypto.hash(:sha256, bytes), case: :lower)}") +end diff --git a/tools/vectors_mldsa87.sh b/tools/vectors_mldsa87.sh new file mode 100755 index 0000000..2f68ace --- /dev/null +++ b/tools/vectors_mldsa87.sh @@ -0,0 +1,45 @@ +#!/usr/bin/env bash +# SPDX-FileCopyrightText: 2026 Sudo Apt Holdings LLC +# SPDX-License-Identifier: Apache-2.0 +# +# Writes the ML-DSA-87 test vectors under test/fixtures/mldsa87/ from their published sources, +# each fetched at a pinned commit and refused unless its sha256 is the one recorded here. The +# sources hold every parameter set; only ML-DSA-87 is kept, so the fixtures stay small and a +# rerun writes the same bytes. Run by hand when a pin moves; the suite reads only the output. +# +# ACVP-Server (NIST; NIST-Software): ML-DSA-keyGen-FIPS204, tgId 3 tcId 51 +# ML-DSA-sigVer-FIPS204, every ML-DSA-87 group +# Wycheproof (C2SP; Apache-2.0): testvectors_v1/mldsa_87_verify_test.json, whole +set -euo pipefail +root=$(git rev-parse --show-toplevel) +out="$root/test/fixtures/mldsa87" +work=$(mktemp -d) +trap 'rm -rf "$work"' EXIT + +acvp=975de31eb83d87039ec88934fdc47d8c312b892d +wycheproof=7a325932231bd7a724c791c8b0d65ea4d6d2f435 + +fetch() { # url, file, sha256 + curl -sSfo "$work/$2" "$1" + echo "$3 $work/$2" | sha256sum -c --quiet - || { echo "$2: sha256 differs from the pin; refused"; exit 1; } +} + +fetch "https://raw.githubusercontent.com/usnistgov/ACVP-Server/$acvp/gen-val/json-files/ML-DSA-keyGen-FIPS204/internalProjection.json" \ + keygen.json e67ee6540d40e11506c3c4e3b1f79fc1cefcd49820db99fc61f87cc8ba463baf +fetch "https://raw.githubusercontent.com/usnistgov/ACVP-Server/$acvp/gen-val/json-files/ML-DSA-sigVer-FIPS204/internalProjection.json" \ + sigver.json 47cdd6314c7f746d02421ffcba89d4dbc7bb875ac49e07a029fdfc26fba55437 +fetch "https://raw.githubusercontent.com/C2SP/wycheproof/$wycheproof/testvectors_v1/mldsa_87_verify_test.json" \ + wycheproof.json 54adffe10f6dad7941ffd97f77ad4e5c85cb3a54d44cf5ce1c95cb1757b9ba14 + +mkdir -p "$out" +jq -c --arg src "usnistgov/ACVP-Server@$acvp gen-val/json-files/ML-DSA-keyGen-FIPS204/internalProjection.json" \ + '{source: $src, filtered: "tgId 3 (ML-DSA-87), tcId 51", + test: (.testGroups[] | select(.tgId == 3 and .parameterSet == "ML-DSA-87") | .tests[] | select(.tcId == 51))}' \ + "$work/keygen.json" > "$out/acvp_keygen.json" +jq -c --arg src "usnistgov/ACVP-Server@$acvp gen-val/json-files/ML-DSA-sigVer-FIPS204/internalProjection.json" \ + '{source: $src, filtered: "the ML-DSA-87 groups", testGroups: [.testGroups[] | select(.parameterSet == "ML-DSA-87")]}' \ + "$work/sigver.json" > "$out/acvp_sigver.json" +jq -c --arg src "C2SP/wycheproof@$wycheproof testvectors_v1/mldsa_87_verify_test.json" \ + '{source: $src, filtered: "none (compacted)"} + .' "$work/wycheproof.json" > "$out/wycheproof_verify.json" + +for f in "$out"/*.json; do echo "$(sha256sum "$f" | cut -c1-64) ${f#"$root"/}"; done