From: Lightweight authentication protocol in edge-based smart grid environment
Notations | Descriptions |
---|---|
SM | Smart meter |
\(ES_j\) | \(j{\mathrm{th}}\) edge node |
TA | Trusted authority |
\(E_p(a,b),p\) | Elliptic curve cryptosystem, \(E_p:y^3=x^3+ax+b(mod\,p)\) is an elliptic curve over prime field \(F_p\), p is a prime, where \(x,y,a,b\in F_p\) and \((4a^3+27b^2) mod\,p\ne 0\) |
kG | \(kG=G+G+\cdots +G(k times,k\in F_p)\),Scalar multiplication in elliptic curve Cryptosystem |
\(r_i\) | The register parameters generated by trusted authority |
Adv | Adversary |
s | Secret key of TA |
\(SK_{ij},SK_{ji}\) | Session key by SMs and edge nodes |
\(n_i,n_j\) | Random number chosen by SMs and edge nodes |
\(H(\cdot )\) | Cryptographic one-way hash function |
|| | Concatenation |
\(\oplus\) | Bitwise XOR operation |