def __init__(self, cryptosystem):
"""
Generates a new key pair for the given EGCryptoSystem
"""
p = cryptosystem.get_prime()
random = StrongRandom()
inner_private_key = random.randint(1, p - 2)
self.private_key = PrivateKey(cryptosystem, inner_private_key)
self.public_key = self.private_key.public_key
