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Table 1 Common used notations

From: An anonymous authenticated key-agreement scheme for multi-server infrastructure

Common notations

blueElucidations

\(\mathcal {U}_u\)

\(u_{th}\) user of the system

\(\mathcal {RC}\)

Centralized registration center of the infrastructure

\(ID_u\)

Specific user’s identity

\(PW_u\)

Specific user’s password

\(B_u\)

Biometric identity of specific user

\({PID_u}\)

User’s pseudo identity

\(SC_u\)

Smart card issued to each specific user

\(\mathcal {S}_j\)

\(j_{th}\) service provider of the infrastructure

\(ID_j\)

Identity of service provider

x

Secret key of \(\mathcal {RC}\)

\(pk_{RC}\)

Public key of \(\mathcal {RC}\)

s

Secret key of \(\mathcal {S}_j\)

\(pk_{S_j}\)

Public key of \(\mathcal {S}_j\)

\(E_{p}(e,f)\)

An elliptic curve

P

Base point of the elliptic curve \(E_{p}(e,f)\)

H(.)

Function specified for Bio-hash

h(.)

One-way digest function of hashing

\(\Vert\)

Concatenation operator

\(\oplus\)

XoR operator