Files
darkfi/script/research/mpc/ec_share.sage

94 lines
3.7 KiB
Python

def open_2pc(party0_share, party1_share):
return party0_share + party1_share
def verify_2pc_mac_check(party0_mac, party1_mac):
assert party0_mac+party1_mac == 0
global_key = random.randint(0, p)
class ECAuthenticatedShare(object):
"""
additive share
"""
def __init__(self, share, mac=None, modifier=None):
self.share = share
self.mac = global_key * self.share if mac==None else mac
self.public_modifier = 0 if modifier == None else modifier # carry out extra addition/subtraction by public scalars until opening
def __repr__(self):
return "share: %s, mac: %s"%(self.share, self.mac)
# SPDZ mac authentication
def authenticated_open(self, peer_authenticated_share):
opened_share = open_2pc(self.share, peer_authenticated_share.share)
mac_key = random.randint(0,global_key)
mac_share = mac_key * (opened_share + self.public_modifier) - self.mac
peer_mac_key = global_key - mac_key
peer_mac_share = peer_mac_key * (opened_share + peer_authenticated_share.public_modifier) - peer_authenticated_share.mac
assert (mac_share + peer_mac_share) == 0
return opened_share
def mul_scalar(self, scalar):
return ECAuthenticatedShare(self.share * scalar, self.mac * scalar, self.public_modifier * scalar)
def add_point(self, point, party_id):
return ECAuthenticatedShare(self.share + point, self.mac , self.public_modifier - point) if party_id ==0 else ECAuthenticatedShare(self.share, self.mac, self.public_modifier - point)
def __add__(self, rhs):
'''
add additive shares
'''
return ECAuthenticatedShare(self.share + rhs.share, self.mac + rhs.mac, self.public_modifier + rhs.public_modifier)
def __sub__(self, rhs):
'''
sub additive shares
'''
return ECAuthenticatedShare(self.share - rhs.share, self.mac - rhs.mac, self.public_modifier - rhs.public_modifier)
class ScalingECAuthenticatedShares(object):
def __init__(self, alpha, beta, triplet, party_id):
# authenticated shares
self.alpha_as = alpha
self.beta_as = beta
self.a_as = triplet[0]
self.b_as = triplet[1]
self.c_as = triplet[2]
self.party_id = party_id
def __mul__(self, peer_share):
generator = CurvePoint.generator()
masked_e_share = self.beta_as - self.b_as
peer_masked_e_share = peer_share.beta_as - peer_share.b_as
e = open_2pc(masked_e_share.share, peer_masked_e_share.share)
peer_masked_d_share = peer_share.alpha_as - peer_share.a_as.mul_point(generator)
masked_d_share = self.alpha_as - self.a_as.mul_point(generator)
d = open_2pc(masked_d_share.share, peer_masked_d_share.share)
return (self.b_as.mul_point(d) + self.a_as.mul_point(generator).mul_scalar(e) + self.c_as.mul_point(generator)).add_point(d * e, self.party_id)
class MSM(object):
def __init__(self, points, scalars, source, party_id):
'''
naive multi scalar multiplicatin, between authenticatedpointsshares, and authenticatedscalarshares
'''
self.points = points
self.scalars = scalars
self.source = source
self.party_id = party_id
def msm(self):
assert (len(self.points) == len(self.scalars))
beaver = self.source
point_scalars = []
for point, scalar in zip(self.points, self.scalars):
point_scalars += [ScalingECAuthenticatedShares(point, scalar, beaver.triplet(self.party_id), self.party_id)]
return point_scalars
def sum(self):
return sum(self.msm())