\begin{tikzpicture}
\begin{axis}[
    xmode=log,
    ymode=log,
    xlabel={Retention Time [\unit{\milli\second}]},
    ylabel={Number of Errors},
    xmin=100, xmax=100000,
    ymin=1, ymax=10000000000,
    legend pos=north west,
    legend style={font=\footnotesize, draw=none, fill=none},
    width=1.0\linewidth,
    height=5.0cm,
]

    % 0x0: Nothing because true cell
    \addplot[smooth, very thick]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  0)       
            (4096,  0)        
            (8192,  0)          
            (16384, 0)         
            (32768, 0)
            (65536, 0.0000000001)
        };
    % 0x5
    \addplot[smooth, very thick, color=blue, dashed]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  0)       
            (4096,  0)        
            (8192,  0)          
            (16384, 186)         
            (32768, 10679)
            (65536, 253998)
        };        
    % 0xa
    \addplot[smooth, very thick, color=orange, dashed]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  0)       
            (4096,  0)        
            (8192,  3)          
            (16384, 182)         
            (32768, 9298)
            (65536, 224455)
        };
    % 0xf
    \addplot[smooth, very thick, color=green]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  0)       
            (4096,  0)        
            (8192,  6)          
            (16384, 489)         
            (32768, 28789)
            (65536, 717943)
        };    
    % rnd
    \addplot[smooth, very thick, color=red]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  0)       
            (4096,  0)        
            (8192,  2)          
            (16384, 184)         
            (32768, 9804)
            (65536, 228474)
        };            

        \legend{
            \texttt{0x00},
            \texttt{0x55},
            \texttt{0xaa},
            \texttt{0xff},
            \texttt{rand}
        }
    
\end{axis}
\end{tikzpicture}