cryptography-python

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.

secp256k1

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 arith

• polynomial_numpy.py: polynomial operation by numpy.
• polynomial.py: polynomial operation by hand writting python.

bn128

• bn128.py: bn128 curve, implements eip-196, eip-197.
• bn128_ethereum_api.py: bn128 pairing testsuite.