Table 1 Notations and definitions.
Notations | Definitions |
|---|---|
\(\left( {{G}_{q}},q,G \right)\) | Elliptic curve parameters |
\({{H}_{1}},{{H}_{2}},{{H}_{3}},{{H}_{4}},{{H}_{5}},{{H}_{6}}\) | Six secure hash functions |
\(\left( {{s}_{TA}},{{S}_{TA}} \right)\) | The private key and public key of TA respectively |
\(\left( {{RSU}_{i}} \right)\) | The \(i\)-th RSU |
\(RI{{D}_{i}}\) | The identification code of \(RS{{U}_{i}}\) |
\(\left( {{r}_{i}},{{R}_{i}} \right)\) | The private key and public key of \(RS{{U}_{i}}\) |
\(\Delta t_{R}^{i}\) | The expiration date of \({{R}_{i}}\) |
\(RS{{K}_{i}}\) | The secret key of \(RS{{U}_{i}}\) |
\(Ve{{h}_{i}}\) | The \(i\)-th vehicle |
\(VI{{D}_{i}}\) | The real identification of \(Ve{{h}_{i}}\) |
\(Seed_{i}^{1},Seed_{i}^{2}\) | Two random hash seeds generated by TA for \(Ve{{h}_{i}}\) |
\(({{v}_{i}},{{V}_{i}},VS{{K}_{i}})\) | The private key, public key and long-term secret key of \(Ve{{h}_{i}}\) respectively |
\(\Delta t_{V}^{i}\) | The expiration date of \(Ve{{h}_{i}}\) |
\({{SPID}_{i,k}}\) | The k-th short pseudonym of \({{Veh}_{i}}\) |
\(\{vp{{r}_{i}}=(v{{a}_{i}},SVS{{K}_{i}}),\) \(VP{{U}_{i}}=(V{{A}_{i}},R{{V}_{i}})\}\) | The short-term private keys and corresponding public keys of \(Ve{{h}_{i}}\) respectively |
