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 4:

I d e n t i t y (E V_{D V}) \to \{A d d r e s s (E_{δ} (M))\}

// Params: Zero-knowledge proof

E V_{D V}

// Returns: Authentication result and the data storage address Address(

E_{δ} (M)

)
function Verify Access And Retrieve Data (proof

E V_{D V}

) → {Address_

E_{δ} (M)

}
01: // Step (i) Generates a random parameter

σ

based on T from

E V_{D V}

02:

σ

= select Random From (T)
03: // Compute

a

using

σ

04:

a \equiv σ^{2} m o d T

05: // Step (ii) Generates a random sequence E and issues an identity challenge to the DV
06:

E = \{e_{1}, e_{2}, \dots, e_{r}\}, e_{j} \in \{0, 1\}

.
07: sendChallenge (challenge)
08: // Step (iii) Computes the response parameters Res using their private key

S_{U}

09:

R e s = σ

10: for j from 1 to r do:
11:

R e s = R e s \cdot l_{j}^{e_{j}} m o d T

12: sendResponse (Res) // Send the response parameters Res to the DO
13: // Step (iv) Verifies the proof

E V_{D V}

and the response parameter Res
14:

γ = 1

15: for j from 1 to r do:
16:

γ = γ \cdot E V \cdot f_{j}^{e_{j}} m o d T

17: // Verify the equation
18: if

R e s^{2} \equiv a γ m o d T

:
19: authentication Result = true
20: sendAddress (

A d d r e s s (E_{δ} (M))

) // DO sends the data storage address

A d d r e s s (E_{δ} (M))

to DV
21: // Step (v) Calculate attribute permission parameters based on the DV’s weight values
22: for j from 1 to

r^{'}

do:
23:

r_{j} = μ m o d b_{j}

24:

R_{i} = \{r_{1}, r_{2}, \dots, r_{j}\}

25: send Permission Parameters (

R_{i}

A d d r e s s (E_{δ} (M))

) // Send attribute permission parameters

R_{i}

and

A d d r e s s (E_{δ} (M))

to DV
26: else:
27: authentication Result = false
28: // Terminate any further action if the equation does not hold
29: terminate ()
30: // Return the authentication result
31: return {authentication Result}
endfunction