Attribute-Based Fully Homomorphic Encryption Scheme from Lattices with Short Ciphertext

Table 2

The comparing of related lattice-based schemes.

Scheme	size	size	size	Ciphertext size	Security	Fully homomorphic
[4]					SM sCPA	No
[17]					SM sCPA	No
[19]					No security reduction	No
[21]					SM sCPA	Yes
[24]					SM sCPA	Yes
Ours					SM sCPA	Yes

, , , : the maximum number of system’s attributes. : the maximum number of system attribute categories. , : the number of ciphertext’s attribute in [4]. : the number of gates in access policy in [17]. SM: standard model. sCPA: selective chosen plaintext attack.