This is a tutorial project about cryptography in python. Follow the steps and you will fully understand the magic of elliptic curves from scratch.
- Each file can be run independently!
- There are detailed paper references in the comments of the code
Based on this project, I implemented the SDKs of three famous blockchain projects: BTC, ETH and CKB.
- https://github.com/mohanson/pybtc: Early stage of the project.
- https://github.com/mohanson/pyeth: Almost fully supported.
- https://github.com/mohanson/pyckb: Almost fully supported.
paper: https://www.cs.miami.edu/home/burt/learning/Csc609.142/ecdsa-cert.pdf
secp256k1.py: implement finite field and secp256k1 curve.secp256k1_generate_public_key.py: calculate bitcoin public key from private key.secp256k1_sign.py: signature messages and verify it.secp256k1_extract_private_key.py: extract the private key by two signatures that use the same k.secp256k1_jacobian: jacobian projective space.
polynomial_numpy.py: polynomial operation by numpy.polynomial.py: polynomial operation by hand writting python.