A Blockchain-Based Privacy Information Security Sharing Scheme in Industrial Internet of Things

. 2022 Apr 30;22(9):3426. doi: 10.3390/s22093426

Algorithm 2 Intelligent Elliptic Curve Digital Signature Algorithm (IECDSA)

Input: $M L i s t$ , $E L i s t$ // $M L i s t$ is the information shared set by the edge nodes of the message sender. $E L i s t$ is information set of edge nodes in the network.

Output: Status of signatures and verification of signatures.

1:
for i to size( $M L i s t$ ) do
2:
Selecting the data signature private key.
3:
$P u K = P r K * G$ // Calculating a digitally signed public key. distribution the public key.
4:
$R a n d S e e d = (a * R a n d S e e d + c) % m$ // Generate random numbers.
5:
$P = R a n d S e e d G (x, y) = (x_{1}, y_{1})$ // Calculation of the parameter P.
6:
Generate data signature $s_a$ by Equation (4).
7:
$h (M L i s t (i)) = H a s h (M L i s t (i))$ //Calculating hash values of shared information.
8:
Generate data signature $s_b$ by Equation (6).
9:
KDSC( $P u K$ , $E L i s t$ ) // Key Distribution Smart Contracts enables intelligent distribution of public keys.
10:
if $s_a & & s_b \notin [1, n - 1]$ then // Information receiver edge nodes verify signatures.
11:
Signature verification failure.
12:
else
13:
Calculating hash values of shared information by Equation (5).
14:
Calculate the parameters $w, u_{1}, u_{2}$ according to Equations (7)–(9).
15:
$X = u_{1} G + u_{2} P u K = (x_{1}, y_{1})$ // Calculate the parameter X.
16:
if $x_{1} mod n = s_a$ then
17:
Successful signature verification.
18:
else
19:
Signature verification failure.
20:
end if
21:
end if
22:
end for
23:
return Status of signatures and verification of signatures.