A CP-ABE Scheme Supporting Arithmetic Span Programs

Table 1

Development of ABE about access structure.

Scheme	Access policy	Access structure	Parameter	Security
[1]	KP	AND and OR gates	Not constant	Selective
[2]	KP	Inner product	Not constant	Selective
[3]	CP	Threshold	Constant	①
[4]	KP	Inner product	Constant	Adaptive
[5]	KP	Nonmonotonic	Constant	Selective
[6]	Both	Threshold	Constant	Adaptive
[7]	②	Arithmetic span programs
[10]	KP	Arithmetic span programs	Constant	Adaptive
Our	CP	Arithmetic span programs	Constant	Adaptive

①: the security of the scheme against selectively chosen plaintext attacks can be proven in the standard model; ②: this paper did not give a specific scheme (just a framework).