Table 1 Parameter description

\(\lambda_{p}\)

Discrete logarithmic secure parameter (1024 bit)

\(\lambda_{q}\)

Discrete logarithmic secure parameter (257 bit)

\(p\)

Random prime number \(\left| p \right| = \lambda_{p}\)

\(q\)

Random prime number \(q|p - 1,\left| q \right| = \lambda_{q}\)

\(\beta\)

Data block size (16 kB)

\(m\)

Number of subblocks contained in each block \(m = \left\lceil {\frac{\beta }{{\lambda_{q} - 1}}} \right\rceil \left( {512bit} \right)\)

\(g\)

Generate the \(1 \times m\) row vector, randomly selected from the \({\mathbb{Z}}_{p}\)

\({\mathbb{G}}\)

Hash parameters, including \({\mathbb{G}} = \left( {p,q,g} \right)\)

\(n\)

Block number

Seed

Seed of keystream generator

MAXRAND

Maximum possible output of \(rand( \cdot )\)

MINRAND

Minimum possible output of \(rand( \cdot )\)