Efficient and Provable Secure Pairing-Free Security-Mediated Identity-Based Identification Schemes

Table 5

Comparison of average simulated runtimes for SM-IBI schemes.

	Identification (ns)
GQ-SM-IBI (1024-bits)	2,158,747
BNN-SM-IBI (1024-bits)	14,064,652
BLS-SM-IBI (512-bits)	104,664,826
GQ-SM-IBI (2048-bits)	7,706,801
BNN-SM-IBI (2048-bits)	82,456,452
BLS-SM-IBI (1024-bits)	487,682,172
GQ-SM-IBI (3072-bits)	17,027,899
BNN-SM-IBI (3072-bits)	182,153,886
BLS-SM-IBI (1536-bits)	1,188,023,987