HOKG is a Rust library implementing the Hensel-Optimized Key Generation algorithm for elliptic curve cryptography (ECC). By leveraging Hensel's lemma, HOKG achieves up to 40% data efficiency in key generation, making it ideal for resource-constrained environments like IoT and edge devices. This library is efficient, secure, and built with modern Rust best practices.

📚 Inspired by the article by Dr. Roy Murphy: Revolutionizing Elliptic Curve Cryptography

• Data Efficiency: Reduces key generation data footprint by up to 40%.
• Hensel's Lemma: Novel application for lifting ECC parameters.
• Secure: Maintains ECC security based on the discrete logarithm problem.
• Modular Design: Clean separation of Hensel lifting, ECC, and utilities.
• Comprehensive Tests: Ensures reliability and correctness.

Add HOKG to your project with:

[dependencies]
hokg = "0.1.0"

Ensure you have Rust 1.80 or later installed.

use hokg::{hokg, Config};

fn main() -> Result<(), Box<dyn std::error::Error>> {
    let config = Config {
        p: 17,
        a: 2,
        b: 3,
        x0: 5,
        y0: 6,
        k: 5,
    };
    let (base_point, private_key, public_key, minimal_data) = hokg(config)?;
    println!("Base Point: {:?}", base_point);
    println!("Private Key: {}", private_key);
    println!("Public Key: {:?}", public_key);
    println!("Minimal Data: {:?}", minimal_data);
    Ok(())
}

Run the example:

cargo run --example simple

Full API documentation is available via:

cargo doc --open

Run the test suite:

cargo test

Run benchmarks:

cargo bench

Contributions are welcome! Please:

1. Fork the repository.
2. Create a feature branch (git checkout -b feature/awesome-feature).
3. Commit your changes (git commit -m 'Add awesome feature').
4. Push to the branch (git push origin feature/awesome-feature).
5. Open a Pull Request.

See CONTRIBUTING.md for details.

This project is licensed under the MIT License - see the LICENSE file.

This is a cryptographic library. For production use, ensure:

• Use standardized curves (e.g., NIST P-256).
• Validate curve order and points.
• Consult a cryptography expert.

For questions, open an issue or contact Dr. Roy Murphy.

Built with ❤️ using Rust 🦀