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Update report/src/sections/06-results.tex
Co-authored-by: Anders Malta <74375517+Maltesius@users.noreply.github.com>
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report/src/sections/06-results.tex

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@@ -43,7 +43,9 @@ \subsection{Shuffle security}\label{subsec:Shuffle-security}
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We can see that the bigger the shuffle size $\ell$ is, the less honest shuffles are necessary to make the shuffle secure.
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In Ethereum, each shuffling phase is limited to 8192 shuffles, meaning that the maximum number of honest shuffles that can be used is 8192.
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Therefore, the results of the experiment also finds $T_H=T-\Beta$ being how many of the $T$ shuffles available durring the shuffling phase needing to be honest $T_H$ shuffles where the rest could then be the number of dishonest shuffles $\Beta$.
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Therefore, the results of the experiment also find $T_H=T-\Beta$.
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This is how many of the $T$ shuffles, available during the shuffling phase, are needed to be honest, $T_H$, shuffles.
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The rest could then be the number of dishonest shuffles,~$\beta$.
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We also see that the bigger the shuffle size the narrower the standard deviation gets.
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From the results of the experiment with $\alpha=8192$ we can see that number of honest shuffles necessary to make the shuffle secure sharply goes down until a size of $\ell=64$, and then it starts to flatten out.

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