An open-source research initiative bridging theory and practice in post-quantum cryptography.
Quantum computing threatens the foundations of classical public-key systems such as RSA and ECC. Among emerging alternatives, lattice-based cryptography — particularly those built on structured lattices (ring and module lattices) — stands out as a leading candidate for post-quantum security.
Yet despite its theoretical strength, practical adoption remains limited by challenges such as:
- High computational overhead
- Complex basis reduction
- Large key sizes
This project aims to bridge theory and implementation through an open-source experimental framework for lattice construction, reduction, and benchmarking. By building and testing core lattice algorithms, we seek to quantify the computational trade-offs in reduction, key generation, and encryption/decryption efficiency.
| Version | Component | Description |
|---|---|---|
| v1.0 | Ideal Lattice Builder | Tools for constructing ring-based lattices |
| v1.1 | Base Vector Reduction Algorithm | Classical lattice basis reduction |
| v1.2 | KZ (Korkine–Zolotarev) Reduction | Advanced reduction for comparative benchmarking |
Benchmarking is performed using the Lattice Challenge, with emphasis on:
- Scalability with lattice dimension
- Runtime complexity
- Numerical stability
All code, data, and benchmark results are released openly to ensure reproducibility and community collaboration.
Quantum computing is accelerating — and with it, the end of classical encryption as we know it. Lattice-based cryptography offers a mathematically elegant, computationally hard, and provably secure foundation for the post-quantum era. Yet, turning that promise into efficient, real-world systems remains a work in progress.
That’s where this project comes in.
We’re developing an open-source experimental toolkit for exploring:
- Lattice construction and manipulation
- Basis reduction and solver algorithms
- Performance and reproducibility benchmarking
Our goal is to give researchers and developers a hands-on understanding of what it takes to build — and break — real lattice systems.
| Milestone | Description |
|---|---|
| v1.0 – Ideal Lattice Builder | Constructs ring-based lattices |
| v1.1 – Base Vector Reduction | Implements classical lattice reduction |
| v1.2 – KZ Reduction Algorithm | Advanced reduction with benchmarking in progress |
Once these modules are complete, we’ll run large-scale benchmarks on the Lattice Challenge, evaluating scalability and runtime performance. Findings will be shared via open preprints on arXiv with full datasets and reproducible code.
Modern cryptography needs evidence, not just theory. Our project exposes the practical limits of lattice algorithms — showing where math meets machine.
Through empirical testing, we aim to uncover:
- How parameter choices affect computational efficiency
- Which optimizations truly improve performance
- Where current solvers begin to fail
This bridges theoretical security with real-world implementation, providing data-driven insights that can guide the next generation of post-quantum cryptographic systems.
Being open-source from the start, we invite collaboration from:
- 🧮 Researchers
- 💻 Developers
- 🏢 Industry practitioners
Together, we can explore the balance between usability and security in post-quantum cryptography.
Each release builds toward a comprehensive toolkit for lattice-based cryptography — from mathematical construction to full-scale solver benchmarks.
- Launch v1.0 (Ideal Lattice Builder) and v1.1 (Base Vector Reduction).
- Release experimental Solver A and Solver B prototypes.
- Publish first preprint outlining initial results and open problems.
- Optimize the implementation toolchain for scalability.
- Develop Implementation Tool v2 for modular algorithm experimentation.
- Launch alpha version and release second preprint focused on performance.
- Conduct large-scale solver benchmarks using Lattice Challenge.
- Analyze dimensional scalability and test real-world optimization techniques.
By mid-year, we aim to make this toolkit a reference platform for lattice cryptography — a place where researchers, students, and engineers can build, test, and break post-quantum schemes with complete transparency.
Our end goal:
Empower the community to develop practical, efficient, and secure post-quantum systems.
We welcome contributions of all kinds — from research ideas to code optimization and documentation.
How to Contribute:
- Fork the repository
- Create a feature branch (
git checkout -b feature-name) - Commit your changes (
git commit -m "Add feature-name") - Push to your branch (
git push origin feature-name) - Open a Pull Request
Community Engagement:
For information about relevant open source and open science communities where you can share ideas, collaborate, or learn more about post-quantum cryptography, see COMMUNITIES.md.
This project is licensed under the Apache License. Feel free to use, modify, and distribute under the same terms.