https://github.com/systemslibrarian/crypto-lab-isogeny-gate
Browser-based isogeny cryptography demo — elliptic curve isogenies, toy SIDH key exchange over GF(71), supersingular isogeny graph with random walk, Castryck-Decru torsion-leak attack (August 2022), CSIDH and SQIsign survivors. The scheme that fell and the math that survived. No backends. No simulated math.
https://github.com/systemslibrarian/crypto-lab-isogeny-gate
castryck-decru crypto-lab cryptography csidh elliptic-curves isogeny post-quantum sidh sike sqisign supersingular
Last synced: 10 days ago
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Browser-based isogeny cryptography demo — elliptic curve isogenies, toy SIDH key exchange over GF(71), supersingular isogeny graph with random walk, Castryck-Decru torsion-leak attack (August 2022), CSIDH and SQIsign survivors. The scheme that fell and the math that survived. No backends. No simulated math.
- Host: GitHub
- URL: https://github.com/systemslibrarian/crypto-lab-isogeny-gate
- Owner: systemslibrarian
- Created: 2026-04-18T10:26:46.000Z (3 months ago)
- Default Branch: main
- Last Pushed: 2026-06-28T02:04:00.000Z (23 days ago)
- Last Synced: 2026-06-28T02:18:39.916Z (23 days ago)
- Topics: castryck-decru, crypto-lab, cryptography, csidh, elliptic-curves, isogeny, post-quantum, sidh, sike, sqisign, supersingular
- Language: TypeScript
- Homepage: https://systemslibrarian.github.io/crypto-lab-isogeny-gate/
- Size: 11.6 MB
- Stars: 0
- Watchers: 0
- Forks: 0
- Open Issues: 1
-
Metadata Files:
- Readme: README.md
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README
# crypto-lab-isogeny-gate
## What It Is
Elliptic curve isogenies are group homomorphisms between elliptic curves that preserve the group structure. This demo explores isogenies as they appeared in the post-quantum cryptography world: the elegant theory behind SIDH (Supersingular Isogeny Diffie-Hellman), their decade-long promise as a post-quantum KEM candidate, the mathematical machinery that broke them (the Castryck-Decru attack, August 2022), and the modern survivors (SQIsign, CSIDH) that remain under active research. The security model is asymmetric (public-key cryptography); the problem is hardness of computing isogeny paths in supersingular expander graphs.
## When to Use It
- **For teaching post-quantum cryptography**: Isogenies represent a different mathematical foundation than lattices or hash-based schemes. Use this demo to show why NIST's multi-family approach matters.
- **For understanding structure-breaking attacks**: The Castryck-Decru attack is not a parameter-tuning failure—it exploits auxiliary information (torsion point images) that seemed safe for a decade.
- **For learning how beautiful math fails in practice**: Isogenies are among the most elegant post-quantum candidates. This demo shows that elegance and years of scrutiny do not guarantee security.
- **When NOT to use it**: Do not use SIDH, SIKE, or isogeny-based key exchange for production. Use ML-KEM (NIST FIPS 203) instead. Do not assume SQIsign is production-ready (it is NIST Round 2 only, not standardized, still under cryptanalysis).
## Live Demo
**[https://systemslibrarian.github.io/crypto-lab-isogeny-gate/](https://systemslibrarian.github.io/crypto-lab-isogeny-gate/)**
The demo runs five interactive exhibits in your browser:
1. **What Is an Isogeny?** — Visual definition and example computation.
2. **The Isogeny Graph** — Expander graph of supersingular elliptic curves with random walk simulation.
3. **SIDH Key Exchange** — Protocol demonstration; both parties compute the same shared secret.
4. **The Castryck-Decru Attack** — Brute-force recovery of Alice's secret from published torsion point images.
5. **Lessons for PQC Design** — Five principles derived from the SIDH break.
All exhibits use toy parameters (p=71 for visibility) but apply exact BigInt arithmetic—results are cryptographically valid for small primes.
## How to Run Locally
```bash
git clone https://github.com/systemslibrarian/crypto-lab-isogeny-gate
cd crypto-lab-isogeny-gate
npm install
npm run dev
```
Then open `http://localhost:5173/` in your browser. To build for production: `npm run build`.
## Part of the Crypto-Lab Suite
One of 60+ live browser demos at [systemslibrarian.github.io/crypto-lab](https://systemslibrarian.github.io/crypto-lab/) — spanning Atbash (600 BCE) through NIST FIPS 203/204/205 (2024).
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