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Table 1 Defines the used annotations

From: Ensuring user authentication and data integrity in multi-cloud environment

Annotation

Definition

PU, PR

Public key, private key

M, C

Original message, encrypted massage

Ai,Aj (i,jϵ(1,n))

User identity

F()

Stands for encryption

F′()

Stands for decryption

Φ(n)

The totient of n

PR(A)

A’s private key

PU(A)

A’s public key

PU(B)

B’s public key

PR(B)

B’s private key

p, q

Two different primes