Provably Secure ECC-Based Three-Factor Authentication Scheme for Mobile Cloud Computing with Offline Registration Centre

Table 4

Executing time of some cryptography operations.

Cryptography operations	Symbols	Running time (ms)
		User	Server
Map-to-point hash function		33.582	5.493
Bilinear paring		32.713	5.427
Elliptic curve point multiplication		13.405	2.165
Elliptic curve point addition		0.081	0.013
Exponentiation operation		2.249	0.339
Hash function		0.056	0.007