def __init__(self, primes, e, blind=True, rnd=default_crypto_random):
self.primes = primes
self.n = primitives.product(*primes)
self.e = e
self.bit_size = primitives.integer_bit_size(self.n)
self.byte_size = primitives.integer_byte_size(self.n)
self.exponents = []
for prime in primes:
exponent, a, b = primitives.bezout(e, prime-1)
assert b == 1
if exponent < 0:
exponent += prime-1
self.exponents.append(exponent)
self.crts = [1]
R = primes[0]
for prime in primes[1:]:
crt, a, b = primitives.bezout(R, prime)
assert b == 1
R *= prime
self.crts.append(crt)
public = RsaPublicKey(self.n, self.e)
if blind:
while True:
blind_factor = rnd.getrandbits(self.bit_size-1)
self.blind = public.rsaep(blind_factor)
u, v, gcd = primitives.bezout(blind_factor, self.n)
if gcd == 1:
self.blind_inv = u if u > 0 else u + self.n
assert (blind_factor * self.blind_inv) % self.n == 1
break
else:
self.blind = None
self.blind_inv = None
def __init__(self, primes, e, blind=True, rnd=random.SystemRandom):
self.primes = primes
self.n = primitives.product(*primes)
self.e = e
self.bit_size = primitives.integer_bit_size(self.n)
self.byte_size = primitives.integer_byte_size(self.n)
self.exponents = []
for prime in primes:
exponent, a, b = primitives.bezout(e, prime - 1)
assert b == 1
if exponent < 0:
exponent += prime - 1
self.exponents.append(exponent)
self.crts = [1]
R = primes[0]
for prime in primes[1:]:
crt, a, b = primitives.bezout(R, prime)
assert b == 1
R *= prime
self.crts.append(crt)
public = RsaPublicKey(self.n, self.e)
if blind:
while True:
blind_factor = rnd().getrandbits(self.bit_size - 1)
self.blind = public.rsaep(blind_factor)
u, v, gcd = primitives.bezout(blind_factor, self.n)
if gcd == 1:
self.blind_inv = u if u > 0 else u + self.n
assert (blind_factor * self.blind_inv) % self.n == 1
break
else:
self.blind = None
self.blind_inv = None
def __init__(self, n, e):
self.n = n
self.e = e
self.bit_size = primitives.integer_bit_size(n)
self.byte_size = primitives.integer_byte_size(n)
def __init__(self, n, d):
self.n = n
self.d = d
self.bit_size = primitives.integer_bit_size(n)
self.byte_size = primitives.integer_byte_size(n)