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

Algorithm 3

Final secret key generation.

1: Input: Secret key and shared attribute set .

2: Output:.

3: Compute secret number as follows:

where is the secret key component from and is computed similar to Equation (6) in Algorithm 2.

4: Next, compute Equation (9), which is a -degree at most polynomial in .

5: Pick two random numbers . Compute such that the following condition holds.

6: Next, compute secret key component u₁