Algorithm 4 Image encryption algorithm

Input: The plain image, O, the polynomial $p\left(x\right)$, $\alpha$, $\beta$, $q_{10},q_{20},a,b,c_1,c_2,{\mu }_1,{\mu }_2,$ ${\nu }_1$, and ${\nu }_2$.  Output: E, the encrypted image.  Step 1: Read the plain image, O.  Step 2: Generate the secret key by using the key mixing proportion factor.  Step 3: Call Algorithm 2 to get the shuffled image H.  Step 4: Call Algorithm 3 to get the diffusion vector D.  Step 5: Covert D to decimal, say $D_d$.  Step 6: Change the dimension of $D_d$ to $M\times N$, say E.  Step 7: E is the encrypted image.