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