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Shuffling results --- report/src/sections/06-results.tex | 20 +++++++++++++++++++- 1 file changed, 19 insertions(+), 1 deletion(-) diff --git a/report/src/sections/06-results.tex b/report/src/sections/06-results.tex index ba3d3c0..b3017cb 100644 --- a/report/src/sections/06-results.tex +++ b/report/src/sections/06-results.tex @@ -54,4 +54,22 @@ \subsection{Shuffle security}\label{subsec:Shuffle-security} At an $\alpha$ of 4096 we can see that at the start, with $\ell=32$, the mean number of honest shuffles necessary to make the shuffle secure is $\sim500$ lower than the 2 others. As $\ell$ increases, the mean number of honest shuffles necessary to make the shuffle secure becomes similar to the other $\alpha$ values. Another thing that differs between the experiments is that they all have sudden dip later on in the experiment. -Here we can see a trend that the lower the~$\alpha$ is, the earlier the dip happens. \ No newline at end of file +Here we can see a trend that the lower the~$\alpha$ is, the earlier the dip happens. + +\begin{figure*}[!htb] + \centering + \subfloat[\centering]{{\includegraphics[width=0.45\textwidth]{figures/results/violin-4096} }}% + \qquad + \subfloat[\centering]{{\includegraphics[width=0.45\textwidth]{figures/results/violin-5462} }}% + \subfloat[\centering]{{\includegraphics[width=0.45\textwidth]{figures/results/violin-8192} }}% + \caption{The results of the shuffle security experiment showing the spread of nessecary shuffle need for the shuffle to be secure}% + \label{fig:shufflesecurityviolin}% +\end{figure*} + +The results in \autoref{fig:shufflesecurityviolin} show that for all three $\alpha$ values, the spread of the necessary honest shuffles tightens the larger the shuffle size $\ell$ gets. +Like the results in \autoref{fig:shufflesecurity}, \autoref{fig:shufflesecurityviolin} also shows that the bigger a shuffle size $\ell$, the less honest shuffles on average are necessary to make the shuffle secure. + +It is worth noting that there is a spike in the distribution of the necessary honest shuffles at $\ell=32$ for $\alpha=4096$. +This spike is not present for the other two $\alpha$ values, and is due to the probabilistic nature of the shuffling method. + +