Table 6.

Computation time consumption.

Description	Time (ms)
Identity-based signature $\left(T_{IDS}\right)$	23.866
Identity-based signature verification $\left(T_{IDV}\right)$	5.8720
Asymmetric signature $\left(T_{AS}\right)$	3.8500
Asymmetric signature verification $\left(T_{AV}\right)$	0.1925
Public-key-based encryption $\left(T_{PE}\right)$	3.8500
Public key-based decryption $\left(T_{PD}\right)$	3.8500
symmetrical encryption $\left(T_{SE}\right)$	0.0046
Symmetric decryption $\left(T_{SD}\right)$	0.0046
Scalar multiplication $\left(T_{(sm-ecc)}\right)$ in $G_1$	0.4420
Scalar multiplication $\left(T_{sm}\right)$	20.2300
ECS scalar multiplication $\left(E{T}_{sm}\right)$	1.9700
Exponentiation Operations $\left(T_e\right)$	1.2950
Bilinear pairing $\left(T_P\right)$	4.2110
Map-to-point hash function $\left(T_{mtp}\right)$	4.4060
Fuzzy extractor $\left(T_{fe}\right)$	0.0023
$H_n:{\{0,1\}}^{*}\to Z_n$	0.0023
$H_P:\{0,1\}\to G_1$	12.4180
$H_M:{\{0,1\}}^{*}\to G_2$	0.9740
$H_S:{\{0,1\}}^{*}\to {\{0,1\}}^{*}$	0.0046