Enhancing Security and Flexibility in the Industrial Internet of Things: Blockchain-Based Data Sharing and Privacy Protection

. 2024 Feb 5;24(3):1035. doi: 10.3390/s24031035

Algorithm 2:

S i g n u p (V_{i}, S_{U}) \to {E V}

// Params: attribute values

V_{i}

; private key

S_{U}

// Returns: proof

E V

function GenerateSignature(attribute_values []

V_{i}

, publicKey

Q_{U}

) →

σ

function GenerateProof(attribute values []

V_{i}

, private key

S_{U}

) → proof

E V

01: // Step (i): Compute T based on the public parameters p and q
02:

T = p \cdot q

03: // Step (ii): Input attribute values

V_{i}

and private key

S_{U}

04: // Compute the formula for F
05: F = empty set // Initialize F as an empty set
06: for each attribute value

v_{i_{j}}

V_{i}

:
07: // Compute

l_{j}

08:

l_{j} = H_{2} (S_{U}) (v_{i_{j}})

09: // Square each

l_{j}

to get

f_{j}

10:

f_{j} = l_{j}^{2}

11: // Add

f_{j}

to the set F
12:

F = F u n i o n \{f_{j}\}

13: // Construct the proof

E V

14:

E V = \{T, F\}

15: return

E V

endfunction