Table 6.

Computation Time of Costly Mathematical Operations in Milliseconds.

Descriptions	Operation Time in Milliseconds
$\mathrm{Exponentiation} (\mathcal{EXP}$)	5.31
$\mathrm{Pairing} \mathrm{Operation} \left(\mathcal{P}\right)$	20.04
$\mathrm{Pairing} \mathrm{based} \mathrm{scalar} \mathrm{point} \mathrm{multiplication} (\mathcal{BPM}$)	6.38
$\mathrm{Elliptic} \mathrm{curve} \mathrm{based} \mathrm{point} \mathrm{multiplication} \left(\mathcal{SPMEC}\right)$	2.21
$\mathrm{Hyperelliptic} \mathrm{Curve} \mathrm{Divisor} \mathrm{Multiplication} \left(\mathcal{HCDM}\right)$	1.105