Table 3 Representation of state variables and control parameters, their value ranges, and initially perturbed bits.
From: Novel structures of chaos-based parallel multiple image encryption and FPGA implementation
Parameter | Format | Pattern in binary | Value range | Position of 16 perturbed bits |
|---|---|---|---|---|
\(\gamma _n^{(2)}\) | \(\left\langle 52,49\right\rangle\) | xx1(.)xxx...xx | [1.0,2.0), [3.0,4.0), [5.0,6.0), and [7.0,8.0) | \(b_{2}b_{1}b_{-1}...b_{-13}b_{-14}\) |
\(\gamma _n^{(1)}\) | \(\left\langle 52,49\right\rangle\) | xx1(.)xxx...xx | [1.0,2.0), [3.0,4.0), [5.0,6.0), and [7.0,8.0) | \(b_{2}b_{1}b_{-1}...b_{-13}b_{-14}\) |
\(x_n^{(2)}\) | \(\left\langle 50,49\right\rangle\) | 0(.)xxx...x1 | [\(2^{-49}\),1.0) | \(b_{-1}b_{-2}...b_{-15}b_{-16}\) |
\(x_n^{(1)}\) | \(\left\langle 50,49\right\rangle\) | 0(.)xxx...x1 | [\(2^{-49}\),1.0) | \(b_{-1}b_{-2}...b_{-15}b_{-16}\) |