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report/src/sections/04-Approach.tex

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@@ -406,7 +406,8 @@ \subsubsection{Size reduction}
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The CAAUrdleproofs modification can still reduce the overall block size overhead, though.
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Using Whisk with CAAUurdleproofs has a block size of $17.04$ KB, when the shuffle size is 128\cite{Whisk2024}.
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This can be seen in the following, where $\mathbb{G}=48$ bytes and $\mathbb{F}=32$ bytes\footnote{\text{As noted in the code on the Curdleproofs GitHub repository: }\\ \href{https://github.com/asn-d6/curdleproofs/blob/main/src/whisk.rs}{https://github.com/asn-d6/curdleproofs/blob/main/src/whisk.rs}. Accessed: 26/05/2025}:
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Note that this is the same size as Curdleproofs, as the shuffle size is a power of 2.
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The calculation of the block size comes from the following, where $\mathbb{G}=48$ bytes and $\mathbb{F}=32$ bytes\footnote{\text{As noted in the code on the Curdleproofs GitHub repository: }\\ \href{https://github.com/asn-d6/curdleproofs/blob/main/src/whisk.rs}{https://github.com/asn-d6/curdleproofs/blob/main/src/whisk.rs}. Accessed: 26/05/2025}:
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\begin{itemize}
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\item List of shuffled trackers ($\ell\cdot96\Rightarrow\text{eg. }128\cdot96=12,288$ bytes).
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\item Shuffle proof ($18+10 \lceil\log(\ell+4)\rceil\mathbb{G}$, $7\mathbb{F}\Rightarrow\text{eg. }(18+10\lceil\log(124+4)\rceil)\cdot48+7\cdot32=4,448$ bytes).

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