PyECCArithmetic
This package provides basic arithmethic point operations on elliptic curves. The following operations for points are available:
- Addition
- Subtraction
- Multiplication
- Division
- Order of point (for fair points)
- Inversion of a point
- Is the point on the curve?
The following curves are already implemented:
- secp224r1
- secp256r1
- secp384r1
- secp521r1
- brainpoolP160r1
- brainpoolP192r1
- brainpoolP224r1
- brainpoolP256r1
- brainpoolP320r1
- brainpoolP384r1
- brainpoolP512r1
It is also possible to define your own curve.
Installation
pip install PyECCArithmetic
Addition
from PyECCArithmetic import *
p = Point(x_1, y_1, curve=Curve.secp256r1())
q = Point(x_2, y_2, curve=Curve.secp256r1())
z = p + q # z is a new pointSubtraction
from PyECCArithmetic import *
p = Point(x_1, y_1) # curve defaults to Curve.secp256r1()
q = Point(x_2, y_2)
z = p - q # z = p + (-q), z is a new pointMultiplication
Multiplication is realised with the double and add algorithm.
from PyECCArithmetic import *
p = Point(x_1, y_1) # curve defaults to Curve.secp256r1()
z = p * 3 # z is a new pointDivision
from PyECCArithmetic import *
p = Point(x_1, y_1) # curve defaults to Curve.secp256r1()
q = Point(x_2, y_2)
z = p / q # z is int, such that z * q == pOrder calculation
from PyECCArithmetic import *
p = Point(x_1, y_1) # curve defaults to Curve.secp256r1()
order = p.calcOrder(timeout=5) # tries to calculate the order for maximal timeout seconds Custom curve definition
from PyECCArithmetic import *
# Only curves defined as Weierstrass equation are supported
# y^2 = x^3 + a * x + b mod p
c = Curve(a, b, p, name='optional')Is the point on the curve?
from PyECCArithmetic import *
onCurve = Point(1,1).isOnCurve # true or false 
