def generateRPoints(params):
curve = ECCurve(params.a, params.b, params.p, params.n, params.gx,
params.gy)
pointG = ECPoint(params.gx, params.gy)
pointQ = ECPoint(params.qx, params.qy)
rPoints = []
for i in range(NUM_R_POINTS):
a = random.randint(2, curve.n)
b = random.randint(2, curve.n)
aG = curve.multiply(a, pointG)
bQ = curve.multiply(b, pointQ)
r = curve.add(aG, bQ)
e = {}
e['a'] = a
e['b'] = b
e['x'] = r.x
e['y'] = r.y
rPoints.append(e)
return rPoints
def getCurveByName(curveName):
curve = None
if (curveName == "secp521r1"):
curve = secp521r1
if (curveName == "secp256k1"):
curve = secp256k1
if (curveName == "ecp131p"):
curve = ecp131
if curve == None:
return None
return ECCurve(curve.a, curve.b, curve.p, curve.n, curve.x, curve.y)
def createContext(params, name, email):
ctx = ECDLPContext(name)
ctx.params = params
ctx.rPoints = generateRPoints(ctx.params)
Database.createContext(ctx.name, ctx.email, ctx.params, ctx.rPoints)
ctx.curve = ECCurve(ctx.params.a, ctx.params.b, ctx.params.p, ctx.params.n,
ctx.params.gx, ctx.params.gy)
ctx.pointG = ECPoint(ctx.params.gx, ctx.params.gy)
ctx.pointQ = ECPoint(ctx.params.qx, ctx.params.qy)
ctx.database = Database.getConnection(ctx.name)
return ctx
def loadContext(name):
ctx = ECDLPContext(name)
ctx.database = Database.getConnection(ctx.name)
ctx.database.open()
ctx.rPoints = ctx.database.getRPoints()
ctx.params = ctx.database.getParams()
ctx.status = ctx.database.getStatus()
ctx.solution = ctx.database.getSolution()
ctx.collisions = ctx.database.getNumCollisions()
ctx.database.close()
ctx.curve = ECCurve(ctx.params.a, ctx.params.b, ctx.params.p, ctx.params.n,
ctx.params.gx, ctx.params.gy)
ctx.pointG = ECPoint(ctx.params.gx, ctx.params.gy)
ctx.pointQ = ECPoint(ctx.params.qx, ctx.params.qy)
return ctx
def __init__(self, params, rPoints, a1, b1, a2, b2, endPoint):
# Get params
self.params = params
self.a1 = a1
self.b1 = b1
self.a2 = a2
self.b2 = b2
self.endPoint = endPoint
self.rPoints = rPoints
# Set up curve
self.curve = ECCurve(params.a, params.b, params.p, params.n, params.gx,
params.gy)
# Compute starting points
g = ECPoint(self.params.gx, self.params.gy)
q = ECPoint(self.params.qx, self.params.qy)
self.point1 = self.curve.add(self.curve.multiply(a1, g),
self.curve.multiply(b1, q))
self.point2 = self.curve.add(self.curve.multiply(a2, g),
self.curve.multiply(b2, q))
