secp256k1

Elliptic Curve Arithmetic for secp256k1 Curve

Prerequisites

• You must have Python3 installed & its path should be added to $PATH.

python3 --version
Python 3.10.8

• Download project dependencies from PyPI using pip.

python3 -m pip install --upgrade pip # may not be *always* necessary
python3 -m pip install --user -r requirements.txt

Testing

For ensuring functional correctness of

• ECDSA keygen/ sign/ verify
• Secp256k1 base & scalar field arithmetic
• Secp256k1 group arithmetic ( point addition, doubling & multiplication )

issue,

make

Usage

Using ECDSA is fairly easy

• Start by importing ecdsa module
• Then generate a random ECDSA keypair
• Now pass message bytes along with ECDSA secret key, for signing

Note

ECDSA signature consists of two 256 -bit integers (r, s) | r, s ∈ [0, N)

N = https://github.com/itzmeanjan/secp256k1/blob/b25f4f7/field/scalar_field_consts.py#L19-L21

• Finally use ECDSA public key & message to verify signature

>>> import ecdsa
>>> (skey, pkey) = ecdsa.keygen()
>>> msg = b'Just a message'
>>> sig = ecdsa.sign(skey, msg)
>>> verified = ecdsa.verify(pkey, msg, sig)
>>> assert verified