Auditable & minimal JS implementation of post-quantum public-key cryptography.
noble-post-quantum
Snapshot 2026-08-03 23:56:39 UTC · version 1
Research document
noble-post-quantum
Auditable & minimal JS implementation of post-quantum public-key cryptography.
- 🔒 Auditable
- 🔻 Tree-shakeable: unused code is excluded from your builds
- 🔍 Reliable: tests ensure correctness
- 🦾 ML-KEM & CRYSTALS-Kyber: lattice-based KEM from FIPS-203
- 🔋 ML-DSA & CRYSTALS-Dilithium: lattice-based signatures from FIPS-204
- 🐈 SLH-DSA & SPHINCS+: hash-based Winternitz signatures from FIPS-205
- 🦅 Falcon: lattice-based signatures from Falcon Round 3
- 🍡 Hybrid algorithms, combining classic & post-quantum: XWing, KitchenSink, QSF & others
- 🪶 16KB (gzipped) for everything, including bundled hashes, curves & ciphers
[!IMPORTANT] NIST published draft IR 8547, which proposes prohibiting classical cryptography (RSA, DSA, ECDSA, ECDH) after 2035. Australia's ASD does the same after 2030. Take this into account when designing new cryptographic systems.
This library belongs to noble cryptography
noble cryptography — high-security, easily auditable set of contained cryptographic libraries and tools.
- Zero or minimal dependencies
- Highly readable TypeScript / JS code
- PGP-signed releases and transparent NPM builds
- All libraries: ciphers, curves, hashes, post-quantum, 5kb secp256k1 / ed25519
- WASM version: awasm-noble
- Check out the homepage for reading resources, documentation, and apps built with noble
Usage
npm install @noble/post-quantum
deno add jsr:@noble/post-quantum
We support all major platforms and runtimes. For React Native, you may need a polyfill for getRandomValues. A standalone file noble-post-quantum.js is also available.
// import * from '@noble/post-quantum'; // Error: use sub-imports instead
import { ml_kem512, ml_kem768, ml_kem1024 } from '@noble/post-quantum/ml-kem.js';
import { ml_dsa44, ml_dsa65, ml_dsa87 } from '@noble/post-quantum/ml-dsa.js';
import {
slh_dsa_sha2_128f,
slh_dsa_sha2_128s,
slh_dsa_sha2_192f,
slh_dsa_sha2_192s,
slh_dsa_sha2_256f,
slh_dsa_sha2_256s,
slh_dsa_shake_128f,
slh_dsa_shake_128s,
slh_dsa_shake_192f,
slh_dsa_shake_192s,
slh_dsa_shake_256f,
slh_dsa_shake_256s,
} from '@noble/post-quantum/slh-dsa.js';
import {
falcon512, falcon512padded, falcon1024, falcon1024padded,
} from '@noble/post-quantum/falcon.js';
import {
ml_kem768_x25519, ml_kem768_p256, ml_kem1024_p384,
KitchenSink_ml_kem768_x25519, XWing,
QSF_ml_kem768_p256, QSF_ml_kem1024_p384,
} from '@noble/post-quantum/hybrid.js';
- ML-KEM / Kyber
- ML-DSA / Dilithium
- SLH-DSA / SPHINCS+
- Falcon
- hybrid: XWing, KitchenSink and others
- What should I use?
- Security
- Contributing & testing
- Speed
- License
ML-KEM / Kyber shared secrets
import { ml_kem512, ml_kem768, ml_kem1024 } from '@noble/post-quantum/ml-kem.js';
import { randomBytes } from '@noble/post-quantum/utils.js';
import { notDeepStrictEqual } from 'node:assert';
const seed = randomBytes(64); // seed is optional
const aliceKeys = ml_kem768.keygen(seed);
const { cipherText, sharedSecret: bobShared } = ml_kem768.encapsulate(aliceKeys.publicKey);
const aliceShared = ml_kem768.decapsulate(cipherText, aliceKeys.secretKey);
// Warning: Can be MITM-ed
const malloryKeys = ml_kem768.keygen();
const malloryShared = ml_kem768.decapsulate(cipherText, malloryKeys.secretKey); // No error!
notDeepStrictEqual(aliceShared, malloryShared); // Different key!
Lattice-based key encapsulation mechanism, defined in FIPS-203 (website, repo). Can be used as follows:
- Alice generates secret & public keys, then sends publicKey to Bob
- Bob generates shared secret for Alice publicKey. bobShared never leaves Bob system and is unknown to other parties
- Alice gets and decrypts cipherText from Bob Now, both Alice and Bob have same sharedSecret key without exchanging in plainText: aliceShared == bobShared.
There are some concerns with regards to security: see djb blog and mailing list. Old, incompatible version (Kyber) is not provided. Open an issue if you need it.
[!WARNING] Unlike ECDH, KEM doesn't verify whether it was "Bob" who've sent the ciphertext. Instead of throwing an error when the ciphertext is encrypted by a different pubkey,
decapsulatewill simply return a different shared secret. ML-KEM is also probabilistic and relies on quality of CSPRNG.
ML-DSA / Dilithium signatures
import { ml_dsa44, ml_dsa65, ml_dsa87 } from '@noble/post-quantum/ml-dsa.js';
import { randomBytes } from '@noble/post-quantum/utils.js';
const seed = randomBytes(32); // seed is optional
const keys = ml_dsa65.keygen(seed);
const msg = new TextEncoder().encode('hello noble');
const sig = ml_dsa65.sign(msg, keys.secretKey);
const isValid = ml_dsa65.verify(sig, msg, keys.publicKey);
Lattice-based digital signature algorithm, defined in FIPS-204 (website, repo). The internals are similar to ML-KEM, but keys and params are different.
sign / verify accept optional parameters:
import { sha512 } from '@noble/hashes/sha2.js';
const ctx = new Uint8Array([1, 2, 3]);
const sigCtx = ml_dsa65.sign(msg, keys.secretKey, { context: ctx }); // verify needs same context
const sigDet = ml_dsa65.sign(msg, keys.secretKey, { extraEntropy: false }); // deterministic
const hml = ml_dsa65.prehash(sha512); // HashML-DSA
const sigPre = hml.sign(msg, keys.secretKey);
const isValidPre = hml.verify(sigPre, msg, keys.publicKey);
context: domain-separation byte string, up to 255 bytes; must match betweensignandverifyextraEntropy: hedged-signing randomness. Default is 32 random bytes;falseproduces deterministic signatures; custom 32-byte value is also allowedexternalMu: treatmsgas the precomputed 64-byte message representative µprehash(hash): pre-hash variant (HashML-DSA) from FIPS-204
SLH-DSA / SPHINCS+ signatures
import {
slh_dsa_sha2_128f as sph,
slh_dsa_sha2_128s,
slh_dsa_sha2_192f,
slh_dsa_sha2_192s,
slh_dsa_sha2_256f,
slh_dsa_sha2_256s,
slh_dsa_shake_128f,
slh_dsa_shake_128s,
slh_dsa_shake_192f,
slh_dsa_shake_192s,
slh_dsa_shake_256f,
slh_dsa_shake_256s,
} from '@noble/post-quantum/slh-dsa.js';
const keys2 = sph.keygen();
const msg2 = new TextEncoder().encode('hello noble');
const sig2 = sph.sign(msg2, keys2.secretKey);
const isValid2 = sph.verify(sig2, msg2, keys2.publicKey);
Hash-based digital signature algorithm, defined in FIPS-205 (website, repo). We implement spec v3.1 with FIPS adjustments.
- sha2 vs shake (sha3): indicates internal hash function used
- 128 / 192 / 256: indicates security level in bits
- s / f: indicates small vs fast trade-off
sign / verify accept the same optional context, extraEntropy and prehash(hash)
(HashSLH-DSA) parameters as ML-DSA. With extraEntropy: false, signing is deterministic.
SLH-DSA is slow: see benchmarks for key size & speed.
Falcon signatures
import { falcon512, falcon1024 } from '@noble/post-quantum/falcon.js';
import { randomBytes } from '@noble/post-quantum/utils.js';
const seed3 = randomBytes(48); // seed is optional
const keys3 = falcon512.keygen(seed3);
const msg3 = new TextEncoder().encode('hello noble');
const sig3 = falcon512.sign(msg3, keys3.secretKey);
const isValid3 = falcon512.verify(sig3, msg3, keys3.publicKey);
Lattice-based digital signature algorithm, submitted to NIST PQC Round 3 (website, Round 3 submissions).
[!WARNING] This is Falcon Round 3, not FN-DSA. FN-DSA is not final yet. FN-DSA (FIPS-206) would most likely be backwards-incompatible with Falcon. The implementation passes the published Round 3 KATs.
falcon512,falcon1024: variable-length detached signaturesfalcon512padded,falcon1024padded: fixed-length detached signaturesattached.seal(...)/attached.open(...): attached-signature API for Round 3 vectors and interop
hybrid: XWing, KitchenSink and others
import {
ml_kem768_x25519, ml_kem768_p256, ml_kem1024_p384,
KitchenSink_ml_kem768_x25519, XWing,
QSF_ml_kem768_p256, QSF_ml_kem1024_p384,
} from '@noble/post-quantum/hybrid.js';
The hybrid submodule combines post-quantum algorithms with elliptic curve cryptography:
ml_kem768_x25519: ML-KEM-768 + X25519 (CG Framework, same as XWing)ml_kem768_p256: ML-KEM-768 + P-256 (CG Framework)ml_kem1024_p384: ML-KEM-1024 + P-384 (CG Framework)KitchenSink_ml_kem768_x25519: ML-KEM-768 + X25519 with HKDF-SHA256 combinerQSF_ml_kem768_p256: ML-KEM-768 + P-256 (QSF construction)QSF_ml_kem1024_p384: ML-KEM-1024 + P-384 (QSF construction)
The following spec drafts are matched:
- irtf-cfrg-hybrid-kems-07
- irtf-cfrg-concrete-hybrid-kems-02
- connolly-cfrg-xwing-kem-09
- tls-westerbaan-xyber768d00-03
What should I use?
| Speed | Key size | Sig / CT size | Created in | Popularized in | Post-quantum? | |
|---|---|---|---|---|---|---|
| RSA | Normal | 256B - 2KB | 256B - 2KB | 1970s | 1990s | No |
| ECC | Normal | 32 - 256B | 48 - 128B | 1980s | 2010s | No |
| ML-KEM | Fast | 0.8 - 1.6KB | 0.8 - 1.6KB | 1990s | 2020s | Yes |
| ML-DSA | Normal | 1.3 - 2.5KB | 2.5 - 4.5KB | 1990s | 2020s | Yes |
| SLH-DSA | Slow | 32 - 128B | 17 - 50KB | 1970s | 2020s | Yes |
| FN-DSA | Slow | 0.9 - 1.8KB | 0.6 - 1.2KB | 1990s | 2020s | Yes |
ML-KEM is a KEM, not a signature scheme: its last column is ciphertext (CT) size. We suggest using ECC + ML-KEM for key agreement, ECC + SLH-DSA for signatures.
ML-KEM and ML-DSA are lattice-based. SLH-DSA is hash-based, which means it is built on top of older, more conservative primitives. NIST guidance for security levels:
- Category 3 (~AES-192): ML-KEM-768, ML-DSA-65, SLH-DSA-192
- Category 5 (~AES-256): ML-KEM-1024, ML-DSA-87, SLH-DSA-256
NIST recommends cat-3+, while Australian ASD only allows cat-5 after 2030.
It's also useful to check out draft NIST SP 800-131Ar3 for "Transitioning the Use of Cryptographic Algorithms and Key Lengths".
For hashes, use SHA512 or SHA3-512 (not SHA256); and for ciphers ensure AES-256 or ChaCha.
Security
The library has not been independently audited yet.
- at version 0.6.1, in Apr 2026, it was audited by ourselves (self-audited)
- Scope: everything
- Changes since audit
If you see anything unusual: investigate and report.
Constant-timeness
There is no protection against side-channel attacks. We actively research how to provide this property for post-quantum algorithms in JS. Keep in mind that even hardware versions ML-KEM are vulnerable.
Supply chain security
- Commits are signed with PGP keys to prevent forgery. Be sure to verify the commit signatures
- Releases are made transparently through token-less GitHub CI and Trusted Publishing. Be sure to verify the provenance logs for authenticity.
- Rare releasing is practiced to minimize the need for re-audits by end-users.
- Dependencies are minimized and strictly pinned to reduce supply-chain risk.
- We use as few dependencies as possible.
- Version ranges are locked, and changes are checked with npm-diff.
- Dev dependencies are excluded from end-user installs; they're only used for development and build steps.
For this package, there are 3 dependencies; and a few dev dependencies:
- noble-hashes provides cryptographic hashing functionality, used internally in every algorithm
- noble-curves provides elliptic curve cryptography for hybrid algorithms
- noble-ciphers provides AES-CTR DRBG and ChaCha20, used internally in Falcon
- jsbt is used for benchmarking / testing / build tooling and developed by the same author
- prettier, fast-check and typescript are used for code quality / test generation / ts compilation
Randomness
We rely on the built-in
crypto.getRandomValues,
which is considered a cryptographically secure PRNG.
Browsers have had weaknesses in the past - and could again - but implementing a userspace CSPRNG is even worse, as there’s no reliable userspace source of high-quality entropy.
Contributing & testing
npm install && npm run build && npm testwill build the code and run tests.npm run formatwill run prettier and fix formatting issues.npm run benchmarkwill run benchmarksnpm run bundlewill build single file
Check out github.com/paulmillr/guidelines for general coding practices and rules.
See paulmillr.com/noble for useful resources, articles, documentation and demos related to the library.
Speed
npm run benchmark
Noble is the fastest JS implementation of post-quantum algorithms.
There is experimental git branch, which uses WASM-based awasm-noble for hashing. It has 80% faster ML-KEM, 30% faster ML-DSA, 2.3x faster SLH-DSA-SHA256, 15x faster SLH-DSA-SHAKE. Try it out.
Benchmarks on Apple M4 (operations/sec, higher is better):
| Primitive | Keygen | Signing | Verification | Shared secret |
|---|---|---|---|---|
| ML-KEM-768 | 4661 | 4089 | ||
| ML-DSA-65 | 719 | 294 | 610 | |
| Falcon512 | 14 | 749 | 2160 | |
| SLH-DSA-SHA2-192f | 321 | 11 | 198 | |
| Pre-quantum x/ed25519 | 12648 | 6157 | 1255 | 1981 |
SLH-DSA (s variants have 2x shorter signatures; SHAKE is very slow):
| keygen | sign | verify | |
|---|---|---|---|
| sha2_128f | 2ms | 47ms | 3ms |
| shake_128f | 10ms | 237ms | 14ms |
| sha2_192f | 3.2ms | 93ms | 5.1ms |
| shake_192f | 15ms | 396ms | 21ms |
| sha2_256f | 8.5ms | 187ms | 5.2ms |
| shake_256f | 40ms | 813ms | 22ms |
| sha2_128s | 140ms | 1068ms | 1.1ms |
| shake_128s | 673ms | 5114ms | 5.2ms |
| sha2_192s | 209ms | 2114ms | 1.9ms |
| shake_192s | 974ms | 8779ms | 7.1ms |
| sha2_256s | 137ms | 1941ms | 2.7ms |
| shake_256s | 645ms | 7689ms | 11ms |
Key and signature sizes:
| Variant | Public key | Secret key | Signature / Ciphertext |
|---|---|---|---|
| ML-KEM-512 | 800 | 1632 | 768 |
| ML-KEM-768 | 1184 | 2400 | 1088 |
| ML-KEM-1024 | 1568 | 3168 | 1568 |
| ML-DSA-44 | 1312 | 2560 | 2420 |
| ML-DSA-65 | 1952 | 4032 | 3309 |
| ML-DSA-87 | 2592 | 4896 | 4627 |
| Falcon512 | 897 | 1281 | 666 |
| Falcon1024 | 1793 | 2305 | 1280 |
| SLH-DSA-128f | 32 | 64 | 17088 |
| SLH-DSA-128s | 32 | 64 | 7856 |
| SLH-DSA-192f | 48 | 96 | 35664 |
| SLH-DSA-192s | 48 | 96 | 16224 |
| SLH-DSA-256f | 64 | 128 | 49856 |
| SLH-DSA-256s | 64 | 128 | 29792 |
License
The MIT License (MIT)
Copyright (c) 2024 Paul Miller (https://paulmillr.com)
See LICENSE file.
Why MDRSS assigned this score
- Production catalog audit 2026-08-04
- Taxonomy classified from title, annotation, source and Markdown signals
- Agent usefulness evaluated from structure, procedures, examples, evidence and retrieval value
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