The MAC address of the peer acts as a security parameter index for the secure channel.
Let (mathbb G, mathbb G _T) be groups of prime order (p) and (g) be a generator of (mathbb G.) We denote (s) as a security parameter and (H_1:{0,1}^*rightarrow mathbb G, H_2:mathbb G _Trightarrow {0,1}^s) as two hash functions.
It takes an input as a security parameter k and outputs a system parameter λ. λ determines elements in order to set the encrypted database system such as the size of database, encryption/decryption algorithm, functions, the size of parameters, and so on.
The setup algorithm is run by KDC, which takes as input a security parameter k.
The scheme is described as follows: Global Setup((s)): Given a security parameter (s,) it returns a global parameter (mathcal GP = langle mathbb G, mathbb G _T, e, H_1 cdot ), H_2 cdot ), g, mathcal KS rangle,) where (mathcal KS ) is a keyword space.
The RSK dPEKS scheme is described as follows: Global Setup((s)): Given a security parameter (s,) it returns a global parameter (mathcal GP = langle mathbb G, mathbb G _T, e, H_1 cdot ), H_2 cdot ), g, mathcal KS rangle,) where (mathcal KS ) is a keyword space.
This RPSL dPEKS scheme is described as follows: GlobalSetup((s)): Given a security parameter (s,) it returns a global parameter (mathcal GP = langle mathbb G, mathbb G _T, e, H_1 cdot ), H_2 cdot ), g, h, u, v rangle,) where (h, u, v in mathbb G ) are random values.
( varvec{CrsGen} )(1 k ): It takes a security parameter k as input and outputs crs as a common reference string, which is an implicit input to all algorithms described below.
The function takes a security parameter ℓ as input and uses Gen to generate a public and private key pair (pk,sk).
Take in a security parameter, it generates PK and MK.
Gen: Inputs a security parameter λ ∈ N and a range parameter n ∈ N, outputs a master key mkey.
