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Table 1 Notation

From: A secure electronic medical record authorization system for smart device application in cloud computing environments

Notation

Meaning

\(P\)

A generator for the elliptic group

\(s\)

A secret key

\(PK\)

A public key, where \(PK = sP\)

\(H( \cdot )\)

Biometric hash function

\(h( \cdot )\)

One way hash function

\(ID_{X}\)

Identity of \(X\)

\(B_{P}\)

A biometric password

\(Cert_{D}\)

The doctor’s certificate issued by a medical authority

\(T_{Xi}\)

The \(i{\text{th}}\) timestamp of sender \(X\)

\(T_{Xi}^{\prime }\)

The \(i{\text{th}}\) received message timestamp from sender \(X\)

\(\Delta T\)

A valid time interval

\(r_{i}\)

The \(i{\text{th}}\) random number

\(S_{X}\)

The secret key shared between the public cloud and \(X\)

\(SEK_{i}\)

The \(i{\text{th}}\) session key

\(M_{SD}\)

The biomedical signal sensed by a smart device

\(M_{EMR}\)

The electronic medical record

\(M_{DINF}\)

The diagnosis information on the smart device

\(||\)

Concatenation function

\(A\mathop = \limits^{?} B\)

Determines if \(A\) is equal to \(B\)

----->

Secure channel

──>

Insecure channel