Hierarchical Group Based Mutual Authentication and Key Agreement for Machine Type Communication in LTE and Future 5G Networks

Table 5

Parameters for computing computation costs.

	Operation	Time (millisec)
At MTCD	Digital signature	4.77
	Hashing	0.0356
	Point multiplication	1.537
	Map-to-point	1.537
	Exponentiation	1.698
	Pairing	38.376
	Decryption	4.77
	Encryption	0.18
At network	Modulus	1.698
	Hashing	0.0121
	Point multiplication	0.475
	Map-to-point	0.475
	Exponentiation	0.525
	Pairing	16.322
	Digital signature	4.77