Evaluate (pk,C,[c.sub.1] [c.sub.2],...,[c.sub.t]) Given a circuit C with t input bits, and t
ciphertexts [c.sub.i], apply the addition and multiplication gates of C to the
ciphertexts, perform all the additions and multiplications over integers, and return the resulting in integers.
SEAL produces smaller sizes of
ciphertexts than HElib and it consumes few energy consumptions, though the massive energy is consumed in transmission due to the large
ciphertexts in both HElib and SEAL.
algorithms in common use, nearly all
ciphertexts can be decrypted to
We prove that our proposed scheme satisfies the
ciphertext and trapdoor indistinguishability in the random oracle [20][21].
The main idea of this attack is to collect pairs of correct and faulty
ciphertexts by injecting adequate faults and use them to distinguish where the faults are injected.
RSA can defend against Brute Force attacks, Mathematical attacks, Timing attacks and Chosen
Ciphertext attacks.
However, in our case, there could be several
ciphertexts [c.sub.1], [c.sub.2], ..., [c.sub.L] encrypted under the same key.
Only the accessors with attributes that satisfy access policy can decrypt
ciphertext of PHR.
To be compatible with the data aggregation, we also propose a linearly homomorphic signature scheme which is used to sign the
ciphertext of metering data.
We define the security of our scheme as advantage, in other words, the distinguishing probability of l
ciphertexts and l random numbers.
In a KP-ABE system,
ciphertexts are labeled by the sender with a set of descriptive attributes, and users' private keys are issued by the trusted attribute authority are associated with access structures that specify which type of
ciphertexts the key can decrypt.
