\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
    \addplot[smooth, very thick]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  2)       
            (4096,  662)        
            (8192,  108091)          
            (16384, 6415930)         
            (32768, 100872172)
            (65536, 374540022)
        };
    % 0x5
    \addplot[smooth, very thick, color=blue, dashed]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  3)       
            (4096,  1956)        
            (8192,  177441)          
            (16384, 7918510)         
            (32768, 133293916)
            (65536, 508998376)
        };        
    % 0xa
    \addplot[smooth, very thick, color=orange, dashed]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  0)       
            (4096,  757)        
            (8192,  281094)          
            (16384, 9428533)         
            (32768, 152266536)
            (65536, 520179143)
        };
    % 0xf
    \addplot[smooth, very thick, color=green]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  0)       
            (4096,  1271)        
            (8192,  181346)          
            (16384, 10310037)         
            (32768, 113268510)
            (65536, 376873398)
        };    
    % rnd
    \addplot[smooth, very thick, color=red]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  7)       
            (4096,  1296)        
            (8192,  286084)          
            (16384, 10230959)         
            (32768, 132023165)
            (65536, 500299181)
        };            
    
\end{axis}
\end{tikzpicture}