This is a simple implementation of KZG Commitment

KZG Commitment is a commitment scheme that allows you to commit to a polynomial and later prove that a value is the evaluation of the polynomial at a specific point.

This code is not audited and purely for research and education purposes only. DO NOT USE IT IN PRODUCTION ENVIRONMENT

KZG Commitment Paper Dankrad Feist's blog on KZG Commitment

• Galois Field Initialization: Initializes a Galois Field with the BLS12-381 curve order.
• Lagrange Polynomial Interpolation: Interpolates a set of points to a polynomial in the Galois Field.
• Trusted Setup Generation: Generates a trusted setup for cryptographic operations.
• Polynomial Evaluation: Evaluates polynomials at given points using the trusted setup.
• Zero-Knowledge Proof Generation: Generates a zero-knowledge proof for a given polynomial and set of points.
• Proof Verification: Verifies the validity of a zero-knowledge proof.

To run this script, you need Python 3.6 or later and the following packages:

• galois
• py_ecc

You can install these packages using pip:

pip install -r requirements.txt

1. Ensure you have Python 3.6 or later installed on your system.
2. Install the required packages using pip.
3. Run the script using Python:

python src/main.py

The script will perform the following operations:

• Initialize a Galois Field with the BLS12-381 curve order.
• Generate a trusted setup for cryptographic operations.
• Interpolate a vector to a polynomial in the Galois Field.
• Generate and verify a zero-knowledge proof for a set of points on the polynomial.

This code is not audited and is provided for research and education purposes only. Do not use it in a production environment.