https://github.com/tuxxy/hazmat-math

Hazmat ECC arithmetic for Cryptography.io
https://github.com/tuxxy/hazmat-math

cryptography ecc elliptic-curve-arithmetic elliptic-curves secp256k1

Last synced: about 2 months ago
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Hazmat ECC arithmetic for Cryptography.io

• Host: GitHub
• URL: https://github.com/tuxxy/hazmat-math
• Owner: tuxxy
• License: lgpl-3.0
• Created: 2017-12-05T20:25:17.000Z (about 7 years ago)
• Default Branch: master
• Last Pushed: 2020-04-15T09:40:32.000Z (over 4 years ago)
• Last Synced: 2023-10-20T23:34:05.269Z (about 1 year ago)
• Topics: cryptography, ecc, elliptic-curve-arithmetic, elliptic-curves, secp256k1
• Language: Python
• Size: 37.1 KB
• Stars: 29
• Watchers: 6
• Forks: 5
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE.txt

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README

        
# 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.