Table 1 Table of notations
From: Location-sharing protocol for privacy protection in mobile online social networks
Notation | Description |
|---|---|
\(ID_i\) | User i’s social network identifier |
\(FID_i\leftarrow _R\{0,1\}^{k}\) | A random bit-string \(FID_i\) selected from a set of k bit-string |
\(S_{LS}\) | Location server |
\(S_{OSN}\) | Social network server |
(\(x_i\),\(y_i\)) | User \(ID_i\)’s real location |
\(df_{ID_i}\) | User \(ID_i\)’s friend-case threshold distance |
\(ds_{ID_i}\) | User \(ID_i\)’s stranger-case threshold distance |
G | A social network graph stored in \(S_{OSN}\) |
\((pk_{ID_i},sk_{ID_i})\) | User \(ID_i\)’s public key and secret key pair |
\((pk_{osn},sk_{osn})\) | The public key and secret key pair of \(S_{OSN}\) |
\((pk_{LS},sk_{LS})\) | Location server’s public key and secret key pair |
dist((\(x_1,y_1\)),(\(x_2,y_2\))) | The function calculates the distance between \((x_1,y_1)\) and \((x_2,y_2)\) |
min(x,y) | The function that computes the minimum of x and y |
\(s_{OSN}=Sig_{sk_{osn}}(FID_i,ts)\) | A signature \(s_{OSN}\) generated with the user’s secret key \(sk_{osn}\) over (\(FID_i\),ts) |
\(Ver_{pk_{osn}}(s_{OSN})\) | Verify the correctness of the signature \(s_{OSN}\) with the user’s public key \(pk_{osn}\) |