{"id":51578822,"url":"https://github.com/systemslibrarian/crypto-lab-isogeny-gate","last_synced_at":"2026-07-11T03:32:28.838Z","repository":{"id":367851438,"uuid":"1214259170","full_name":"systemslibrarian/crypto-lab-isogeny-gate","owner":"systemslibrarian","description":"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. 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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.\n\n## When to Use It\n\n- **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.\n  \n- **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.\n\n- **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.\n\n- **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).\n\n## Live Demo\n\n**[https://systemslibrarian.github.io/crypto-lab-isogeny-gate/](https://systemslibrarian.github.io/crypto-lab-isogeny-gate/)**\n\nThe demo runs five interactive exhibits in your browser:\n1. **What Is an Isogeny?** — Visual definition and example computation.\n2. **The Isogeny Graph** — Expander graph of supersingular elliptic curves with random walk simulation.\n3. **SIDH Key Exchange** — Protocol demonstration; both parties compute the same shared secret.\n4. **The Castryck-Decru Attack** — Brute-force recovery of Alice's secret from published torsion point images.\n5. **Lessons for PQC Design** — Five principles derived from the SIDH break.\n\nAll exhibits use toy parameters (p=71 for visibility) but apply exact BigInt arithmetic—results are cryptographically valid for small primes.\n\n## How to Run Locally\n\n```bash\ngit clone https://github.com/systemslibrarian/crypto-lab-isogeny-gate\ncd crypto-lab-isogeny-gate\nnpm install\nnpm run dev\n```\n\nThen open `http://localhost:5173/` in your browser. To build for production: `npm run build`.\n\n## Part of the Crypto-Lab Suite\n\nOne 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).\n\n---\n\n*\"So whether you eat or drink or whatever you do, do it all for the glory of God.\" — 1 Corinthians 10:31*\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fsystemslibrarian%2Fcrypto-lab-isogeny-gate","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fsystemslibrarian%2Fcrypto-lab-isogeny-gate","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fsystemslibrarian%2Fcrypto-lab-isogeny-gate/lists"}