A Lightweight Attribute-Based Security Scheme for Fog-Enabled Cyber Physical Systems

Algorithm 1

Partial key pair generation.

1: Input: Security parameter , secret attribute set .

2: Output:

  .

3: Choose elliptic curve group , where is a base point on the elliptic curve defined over the finite field .

4: Choose a one-way collision resistance hash function, defined as:

5: Create a secret random number .

6: Map attributes in secret set to using hash function and compute secret number .

7: Next, compute public key components P_i as: