hazmat-math

Hazmat ECC arithmetic for Cryptography.io

Hazmat math implements some basic ECC arithmetic for use with Cryptography.io objects using the OpenSSL backend. Specifically, _EllipticCurvePrivateKey and _EllipticCurvePublicKey.

Any operations with EC_POINT will return an _EllipticCurvePublicKey and any operations with BN will return an _EllipticCurvePrivateKey.

Usage:

from cryptography.hazmat.backends import default_backend()
from cryptography.hazmat.primitives.asymmetric import ec

from hazmat_math import operations as ops


priv_a = ec.generate_private_keys(ec.SECP256K1(), default_backend())
priv_b = ec.generate_private_keys(ec.SECP256K1(), default_backend())

pub_a = priv_a.public_key()
pub_b = priv_b.public_key()

# Multiplication
priv_c = ops.BN_MOD_MUL(priv_a, priv_b)
pub_c = ops.EC_POINT_MUL(pub_a, priv_a)

# Division
priv_c = ops.BN_DIV(priv_a, priv_b)

# Inversion
inv_a_priv = ops.BN_MOD_INVERSE(priv_a)
inv_a_pub = ops.EC_POINT_INVERT(pub_a)

# Addition
priv_c = ops.BN_MOD_ADD(priv_a, priv_b)
pub_c = ops.EC_POINT_ADD(pub_a, pub_b)

# Subtraction
priv_c = ops.BN_MOD_SUB(priv_a, priv_b)
pub_c = ops.EC_POINT_SUB(pub_a, pub_b)

# Get generator point from curve
gen_point = ops.CURVE_GET_GENERATOR(ec.SECP256K1())

# Get order of curve
order = ops.CURVE_GET_ORDER(ec.SECP256K1())

Installation:

1. Clone or download the repository
2. Ensure that you have cryptography.io install (pip install cryptography)
3. python setup.py install

TODO:

1. Testing!
2. Get setup on pypy.