A² Chain: A Blockchain-Based Decentralized Authentication Scheme for 5G-Enabled IoT

Algorithm 1

Signature generation (SigGen) algorithm.

	Input: message M, Ppub, and parametersm private key d
	Output: signature (h, S)
(1)	Compute the element in group GT;
(2)	Generate a random number ;
(3)	Compute the element =  in the group GT, converting the data type of ω to a bit string;
(4)	Compute the integer ;
(5)	Compute the integer mod N; if L = 0, then return 2;
(6)	Compute the element in group G1;
(7)	Convert the data types h and S to byte strings and the signature of the message M is (h, S).