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Table 1 Notations and descriptions

From: A secure billing protocol over attribute-based encryption in vehicular cloud computing

Notation

Description

\( \mathbb {G} \)

Elliptic curve group with the same order q

\( P \in \mathbb {G}\)

A generator of \(\mathbb {G}_{1}\)

sk id ,pk id

private, public key pair of an entity X

t i

SP’s master secret for each attribute i

amk

SP’s attribute master key

T i

Public key for each attribute i∈U

\( alias_{v_{i}}\)

v i ’s pseudonym

U

Universe of attribute

Γ

Access tree

ω

Attribute set

D

Set of secret share \(D_{leaf_{l}} in \Gamma \)

SF j

Service file

AT j

Access tree corresponding to SF j

Enc k (.)

Symmetric encryption under key k