# An Intelligent Optimization Algorithm for Constructing a DNA Storage Code: NOL-HHO
## 4 Test of the Proposed Algorithm NOL-HHO
### Wilcoxon Rank-Sum Test
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**ID**} & \multirow{2}{*}{**Metric**} & **NOL-HHO** & **HHO** & **NOL-HHO** & **HHO** & **NOL-HHO** & **HHO** \\  & & **(100 dim)** & **(100 dim)** & **(500 dim)** & **(500 dim)** & **(1000 dim)** & **(1000 dim)** \\ \hline \multirow{2}{*}{**F\({}_{1}\)**} & AVG & \(\mathbf{0.00\times 10^{+00}}\) & \(1.91\times 10^{-94}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(1.46\times 10^{-92}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(1.06\times 10^{-94}\) \\  & STD & \(0.00\times 10^{+00}\) & \(8.66\times 10^{-94}\) & \(0.00\times 10^{+00}\) & \(8.01\times 10^{-92}\) & \(0.00\times 10^{+00}\) & \(4.97\times 10^{-94}\) \\  & AVG & \(\mathbf{0.00\times 10^{+00}}\) & \(9.98\times 10^{-52}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(7.87\times 10^{-49}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(2.52\times 10^{-50}\) \\  & STD & \(0.00\times 10^{+00}\) & \(2.66\times 10^{-51}\) & \(0.00\times 10^{+00}\) & \(3.11\times 10^{-48}\) & \(0.00\times 10^{+00}\) & \(5.02\times 10^{-50}\) \\  & AVG & \(\mathbf{0.00\times 10^{+00}}\) & \(1.84\times 10^{-59}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(6.54\times 10^{-37}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(1.79\times 10^{-17}\) \\  & STD & \(0.00\times 10^{+00}\) & \(1.01\times 10^{-58}\) & \(0.00\times 10^{+00}\) & \(3.58\times 10^{-36}\) & \(0.00\times 10^{+00}\) & \(9.81\times 10^{-17}\) \\  & AVG & \(\mathbf{0.00\times 10^{+00}}\) & \(8.76\times 10^{-47}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(1.29\times 10^{-47}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(1.43\times 10^{-46}\) \\  & STD & \(0.00\times 10^{+00}\) & \(4.79\times 10^{-46}\) & \(0.00\times 10^{+00}\) & \(4.11\times 10^{-47}\) & \(0.00\times 10^{+00}\) & \(7.74\times 10^{-46}\) \\  & AVG & \(\mathbf{1.22\times 10^{-04}}\) & \(2.36\times 10^{-02}\) & \(\mathbf{6.66\times 10^{-02}}\) & \(3.10\times 10^{-01}\) & \(\mathbf{2.29\times 10^{-02}}\) & \(5.73\times 10^{-01}\) \\  & STD & \(5.95\times 10^{-03}\) & \(2.99\times 10^{-02}\) & \(4.79\times 10^{-02}\) & \(3.73\times 10^{-01}\) & \(1.01\times 10^{-01}\) & \(1.40\times 10^{+00}\) \\  & AVG & \(\mathbf{7.71\times 10^{-06}}\) & \(5.12\times 10^{-04}\) & \(\mathbf{6.85\times 10^{-06}}\) & \(2.94\times 10^{-03}\) & \(\mathbf{1.81\times 10^{-04}}\) & \(3.61\times 10^{-03}\) \\  & STD & \(6.62\times 10^{-05}\) & \(6.77\times 10^{-04}\) & \(8.04\times 10^{-04}\) & \(3.98\times 10^{-01}\) & \(1.02\times 10^{-03}\) & \(5.38\times 10^{-03}\) \\  & AVG & \(\mathbf{6.59\times 10^{-05}}\) & \(1.85\times 10^{-04}\) & \(\mathbf{2.24\times 10^{-05}}\) & \(2.51\times 10^{-04}\) & \(\mathbf{3.81\times 10^{-06}}\) & \(1.41\times 10^{-04}\) \\  & **STD** & \(\mathbf{3.63\times 10^{-05}}\) & \(\mathbf{4.06\times 10^{-04}}\) & \(\mathbf{2.87\times 10^{-05}}\) & \(\mathbf{2.43\times 10^{-04}}\) & \(\mathbf{5.79\times 10^{-05}}\) & \(\mathbf{1.63\times 10^{-04}}\) \\  & AVG & \(\mathbf{-4.19\times 10^{+04}}\) & \(\mathbf{-4.19\times 10^{+04}}\) & \(\mathbf{-2.09\times 10^{+05}}\) & \(\mathbf{-2.09\times 10^{+05}}\) & \(\mathbf{-4.19\times 10^{+05}}\) & \(\mathbf{-4.19\times 10^{+05}}\) \\  & STD & \(1.35\times 10^{+00}\) & \(2.82\times 10^{+00}\) & \(8.13\times 10^{+00}\) & \(2.84\times 10^{+01}\) & \(1.01\times 10^{+01}\) & \(1.03\times 10^{+02}\) \\  & AVG & \(\mathbf{0.00\times 10^{+00}}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(\mathbf{0.00\times 10^{+00}}\) & \(\mathbf{0.00\times 10^{+00}}\) \\  & STD & \(0.00\times 10^{+00}\) & \(0.00\times 10^{+00}\) & \(0.00\times 10^{+00}\) & \(0.00\times 10^{+00}\) & \(0.00\times 10^{+00}\) & \(0.00\times 10^{+00}\) & \(0.00\times 10^{+00}\) \\  & AVG & \(\mathbf{8.88\times 10^{-16}}\) & \(\mathbf{8.88\times 10^{-16}}\) & \(\mathbf{8.