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zeekay abf99d05fc papers: reorganize into per-paper dirs, add Antje Worring as co-author
Restructured from flat .tex/.pdf files into per-paper subdirectories.
Added Antje Worring as co-author on all papers.
Synced PDFs to pdfs/ for download site.
2026-04-18 21:50:07 -07:00

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\section{Future Work}
\subsection{Hardware Acceleration}
NTT operations are highly parallelizable:
\begin{itemize}
\item \textbf{GPU:} CUDA implementations achieve $<$1ms verification
\item \textbf{FPGA:} Custom NTT circuits reduce latency to $<$10$\mu$s
\item \textbf{ASIC:} Dedicated chips (future Ethereum clients)
\end{itemize}
\subsection{Signature Aggregation}
Lattice-based signatures support aggregation \cite{boneh2018compact}:
\begin{itemize}
\item Combine $n$ FALCON signatures into single proof
\item Verification cost grows sublinearly: $O(n \log n)$ vs. $O(n)$
\item Applications: Rollups, batch transactions, consensus
\end{itemize}
\subsection{Threshold Signatures}
Multi-party computation for FALCON:
\begin{itemize}
\item Distribute secret key across $n$ parties
\item Require $t$ of $n$ for valid signature
\item Use cases: Multi-sig wallets, DAO governance
\end{itemize}
\subsection{Formal Verification}
Cryptographic proofs in Coq/Lean:
\begin{itemize}
\item Machine-checked security proofs
\item Verified implementations (no bugs)
\item Integration with formal EVM semantics
\end{itemize}