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Advances, Systems and Applications

Table 2 Symbols and execution times(ms)

From: An improved secure designated server public key searchable encryption scheme with multi-ciphertext indistinguishability

Notation Description Times
E The time cost of one modular exponentiation 0.784
Hp The time cost of one Hash-to-point operation 5.679
P The time cost of one pairing operation 5.429
M The time cost of one multiplication operation 2.108
H The time cost of one hash function operation 0.008
\(\vert \mathbb {G}_{1} \vert \) the bit length of an element in \(\mathbb {G}_{1}\) -
\(\vert \mathbb {G}_{2} \vert \) the bit length of an element in \(\mathbb {G}_{2}\) -
|q| the bit length of an element in \(\mathbb {Z}_{q}\) -