SCHEME	$P K_{s i z e}$	$S K_{s i z e}$	$C T_{s i z e}$	$D e l_{A u t h}$	ROM	Assumption
[8]	$2 G_{0}$	$2 Z_{p_{0}}$	$4 G_{0} + Z_{p_{0}}$	Yes	Yes	BDH
[29]	$2 G_{0}$	$3 Z_{p_{0}}$	$4 G_{0} + Z_{p_{0}}$	No	Yes	BDH
[30]	$2 G_{0}$	$2 Z_{p_{0}}$	$2 G_{0} + Z_{p_{0}}$	No	Yes	BDH
Ours	$2 G_{p_{0}}$	$2 Z_{p_{0}}$	$2 G_{0} + Z_{p_{0}}$	Yes	Yes	BDH