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 1:

S e t u p (i d_{i}) \to \{Q_{U}, p p\}

// Params: identity of terminal member

i d_{i}

// Returns: public key

Q_{U}

and public parameters

p p

function GeneratePublicKeyAndParams(char[]

i d_{i}

) → {

Q_{U}

p p

}
01: // Step (i): Select large prime numbers and corresponding groups
02: p = selectLargePrime ()
03: q = selectLargePrime ()
04:

G_{1}

= selectBilinearGroupOfOrder (p)
05:

G_{2}

= selectCyclicGroupOfOrder (q)
06:

g_{1}

G_{1}

.generator () // Generator of

G_{1}

07:

g_{2}

G_{2}

.generator () // Generator of

G_{2}

08: // Step (ii): Define bilinear map
09: e = defineBilinearMap (

G_{1}

G_{1}

G_{T}

)
10: // Step (iii): Select hash functions
11:

H_{1}

= hashFunction (

{0, 1}^{*}

G_{1}

)
12:

H_{2}

= hashFunction (

{0, 1}^{*}

G_{2}

)
13: // Compute public key for terminal member

u_{i}

14:

Q_{U} = H_{1} (i d_{i})

15: // Step (iv): Select random number

α

and compute private key for terminal member

u_{i}

16:

α

= selectRandomFromZpStar (p)
17:

S_{U} = α Q_{U}

18: // Step (v): Compute

u

and set public parameters
19:

u = e {(g_{1}, g_{1})}^{α}

20:

p p = \{G_{1}, g_{1}, H_{1}, H_{2}, Q_{U}, u\}

21: // Return public key and parameters
22: return {

Q_{U}

p p

}
endfunction