A Lightweight, Secure Big Data-Based Authentication and Key-Agreement Scheme for IoT with Revocability

Algorithm 1

Signer efficient multiple-time elliptic curve signature (SE-MECS) Scheme.

	SEMECS.Kg
(1)	Generate large primes and such that
(2)	Select a generator of the subgroup of order in
(3)	Set a private/public key pair ( mod ) and system parameter ← as the output.
(4)	for j = 0, …, K − 1 do:
(5)	, mod ,
	,
(6)	Return and
(1)	if then set
	else split into two as such that .
(2)
(3)	mod
(4)	ifthen return
(5)	else return The value of is given to the receiver.
	If or , return 0. Otherwise:
(1)	.
(2)	If then return .
(3)	else return and recover as follows:
(4)
(5)	If then set .
(6)	else set .